diff --git "a/data/dm_maths/full_data/1102_11255.jsonl" "b/data/dm_maths/full_data/1102_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1102_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the units digit of 1098472759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030364051 to five decimal places.\nAnswer: -0.00304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6329.327 kilometers in centimeters?\nAnswer: 632932700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1555653969 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(864) - sqrt(24))*2)\/sqrt(12) + (-2*sqrt(2) + sqrt(2) + -3)**2 + 3)*5.\nAnswer: 75 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = 2*f - 2*u, 5*f + 2*u - 142 = 676. Suppose 0 = 9*n + 4*n - 1391. Let h = f - n. Calculate the highest common divisor of 22 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - 0. Let i be 1 + -1 + n + 1. Let w(z) = z + 12. What are the prime factors of w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2104 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186766 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 32*z - 156. Determine k(21).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 3*r + r + r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -110*v - 212. Let o(x) = -78*x - 142. Let u(r) = -5*m(r) + 7*o(r). Calculate u(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + 1*2*sqrt(228) - (sqrt(228) + 5*(sqrt(228)*-1 - sqrt(228))))\/((sqrt(432)*2 - sqrt(432))*4).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n - 43. Let p be q(-5). Solve k = -3, f - p*f = 2*k + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*h + 336 = 61, -3*o = 3*h - 186. Suppose 0*m + 4 = m. Suppose 0 = -g + m*g - o. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 23*f + 5340. Let o be l(0). Round o to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 47.3. What is the third smallest value in 3\/4, z, 5, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35955153746 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 2. Let u be z(0). Let g be -3 - (-4)\/1*u. Suppose -y - 3*y = -180. What is the greatest common divisor of y and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/25 - 1)*(-15)\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 12) in base 14?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -4, 96, 3, 1 in decreasing order.\nAnswer: 96, 11, 3, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.54125 + -0.04075. Let i = o - -0.582. Which is the second smallest value? (a) -2.5 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3585309358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/17, -3, -0.1278?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 33*v + 16. Let h be b(-16). Suppose 439 = -18*k + 23*k + 2*j, 2*k + j - 175 = h. List the prime factors of k.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 176 - 32 = 0. Solve v*x - 42 + 16 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14235510 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 5*t**2 + 4*t - 4. Let b be d(5). Let m = b - 10. Suppose j = m*j. Is 1 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 174408 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2485 (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-4)\/2) + -2. Let u(q) = -q**2 - q - 1. Let k(x) = -2*x - 2. Let a(m) = -m**2. Let p(j) = -2*a(j) - k(j). Let v(c) = p(c) + 3*u(c). Determine v(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = 15*q - t + 2, -23*q - 19 = 4*t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.40727 - 0.16827. Let m = 0.039 - d. Let f = m + 6.2. Is 30 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196342 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 12. Let z be b(6). Let f(v) = -1646*v - 2 + 0*v**2 - v**3 - 9*v**2 + 826*v + 3*v**2 + 819*v. What is f(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**5 + 2*x**5 - 5*x**5)*(6 + 1 - 6 + (-4 - 2 + 5)*(-1 + 2 - 2)).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 6*m**3 + 32*m**2 + 32*m = 0?\nAnswer: -4, -4\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.62 - 12. Let s = 0.28 + i. Which is the nearest to 0? (a) -5 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 21*j + 48. Let g be z(-22). Let l(n) = 69*n - 45 + 2*n**2 - 136*n + g*n. List the prime factors of l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 1850364?\nAnswer: 1850364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0, -0.23, -334, -3 in descending order.\nAnswer: 2\/5, 0, -0.23, -3, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 2*q + 1. Let k(b) = -b**2 - b - 1. Determine -3*j(l) - 5*k(l).\nAnswer: 2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*18\/6*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 3*t + 260. Sort -1, -2, 1, t.\nAnswer: -2, -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1670*i - 8. Let m be t(1). Let v = m - 961. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(1 + -1 - (-504)\/8). Suppose 4*n + 3*i - 22 = -101, -3*n - i - r = 0. Calculate the common denominator of (-48)\/(-1024)*n\/1 and 93\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**4\/27 + 170*l**3\/27 - 116*l**2\/3 + 9*l - 180. Let r(c) = 0. What is c?\nAnswer: -87, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*k + 19*k - 33*k - 21*k - 17*k to the form z + f*k and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 43. Suppose 0 = -2*q + 3*q + 5*t - 4, -3*q = -3*t - 12. Suppose 0*h + 1 = -h, 4*i + q*h = 28. What is the highest common divisor of r and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/52)\/((-3)\/(-90)*(-45)\/30)*-1\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 94068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/(-32))\/11*150\/(-75).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**3 + 13*v**2 + 10*v + 1. What are the prime factors of z(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10935 - 6168*b - 21839 + 10904 - 2 - 2*b + 2 + (3 + 0 - 4)*(2*b - 3 + 3).\nAnswer: -6172*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Let v = k - 4.4. Let b = 6.4 + -3.4. Sort 2, b, v in descending order.\nAnswer: b, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -310. Let o = -158 + a. Suppose -5*u + o + 8 = 0. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25538997, 25538993, 25538989, 25538985?\n\"Answer: -4*f + 25539001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14766251*s**5 + 6*s**2 + 4*s + 12480796.\nAnswer: 295325020*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9924358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ddpdppddddd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 4*x = 20. Suppose 0*r - 11 = -3*z - r, -x*z + 2*r + 2 = 0. Let b(m) = 3*m**2 - 4*m + 3. Calculate b(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3\/(-12))\/(1\/(-1))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 59 = -292*q + 291*q, 27 = 3*q - 2*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2. Let m(c) be the second derivative of -2*c**3\/3 + 28*c. What is m(q(w))?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, 4, -0.07, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169597125.\nAnswer: 3, 5, 31, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-i**4 - 1 + 1) + 3*i**2 - i**4 - 3*i**2 + (-3*i**4 + i**4 + 3*i**4)*(13 - 6 - 10).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11670 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 6, 133 in ascending order.\nAnswer: -2\/3, 6, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3021222 (base 4) to base 7.\nAnswer: 52425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 4*n**3 + 3*n**3 - 5*n**3 - 9 - 7*n**2 - 3*n**3. Let h be 3*((-66)\/(-9) + 3) - -1. Suppose 0 = 5*v + 5*t + h + 23, -v = 2*t + 15. Give j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9 - m + 9)*(3*m + 0*m - 2*m) - 9*m**2 + 4*m**2 - 6*m**2)*(-8 - 2 + 2)*(0 - 2 - 2).\nAnswer: -384*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let y = -15.73 - -15.72. Sort s, -0.1, y in descending order.\nAnswer: s, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 60 = -0*j. Let t be (-6)\/j - 39\/(-15). Suppose -t*f - f = -36. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - w**2 + 55*w + 9. Let x be 3\/(-3)*(14 + -21). Let f be m(x). Solve 5*b = f*b - 2*a, 4*a = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) - 604\/(-7). Let u = 1053 - 1135. Let q = u + p. Solve b + 0 = -l - 1, 0 = -5*l + q*b - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 232300.5181 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/11891 and -61\/255116.\nAnswer: 2806276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1450\/(-290))\/((-2)\/(-3))*(-24)\/(-4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37772 - -37764. Let x(r) = r**3 + 8*r**2 - 6*r - 17. Calculate x(p).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - 76. Suppose 3*a - 12 = z*r, 2*a + 3*r = a. Solve 8*l - 3*l + 4*b = -17, 0 = -l - 4*b + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-1\/2))**50\/(a**(-5\/6)\/(a**(-1\/2)\/a)))**(2\/69))**(-1\/21) assuming a is positive.\nAnswer: a**(-746\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-15) + 16\/5. Suppose -r*q - 5 - 3 = 0. Let a(d) = -d**3 - d**2 - 3*d - 1. Give a(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 37 = 1. Let y = -13 - v. Suppose -47 = q - y*q - 2*c, -q + 11 = 2*c. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 6*j. Let v(c) = c**3 - 4*c**2 - 10*c + 1. Let y be v(7). Suppose -9*q = -22*q - y. Give u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-6)*(4 - (0 + 30)). Suppose k*f = -1 + 14. Let s = -82 - -331\/4. Is s > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1363.99999151 + 1364. Round g to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -69*d - 6. Let m be t(-2). Suppose 3*x - 6*x = -m. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 96*s + 569. List the prime factors of d(25).\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*d - 4*x, 2*x = 5*d - 0*x + 19. Let n(q) be the first derivative of q**3\/3 + 2*q**2 + 4*q - 32. Calculate n(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(81\/6))\/(-42*(-31)\/(-5208)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-21) - (-7 + 5)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s. Let a(n) = -140*n. Determine 2*a(h) + 42*q(h).\nAnswer: -238*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 80*x - 513. Calculate d(86).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 124 - 14)*(6*r**2 + 9*r**2 - 3*r**2) in the form z*r**2 + w*r + v and give z.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 4*f + 3*a - 3, 3*f - 4*a + 1 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 17*w**6\/2 + w**3\/3 + 15*w - 12. What is the third derivative of s(z) wrt z?\nAnswer: 3060*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186*a**2 - 16*a + 5 wrt a.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from naatst.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7683 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 10400?\nAnswer: 10395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/16*28\/63*3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f - 3. Suppose 16 = 4*d + 2*m - 38, -4*d + 42 = -2*m. Let s be f\/9*-3*d. What is the highest common factor of 12 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -0.9, 9, 3\/5, 13 in descending order.\nAnswer: 13, 9, 3\/5, -4\/5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*x - 4596 = -1607*x + 26220 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473, -473, -471, -467?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 9. Let h(v) = 14*v**2 + v. Let o be h(q). Suppose -d + 16 = -4*k + 3, -24 = -4*d + 2*k. Solve 3*l - o = -d*x, 4*l - x - 1 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.723, -8854, 1, -0.5 in decreasing order.\nAnswer: 1.723, 1, -0.5, -8854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.40071 to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v**3 - 13*v**2 + 51. Let u(d) = 2*d**3 - 3*d**2 + 13. Let k be (5*(-65)\/(-25))\/(4\/8). What is k*u(w) - 6*x(w)?\nAnswer: -2*w**3 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9343*f**6*u**2 + f**3*u**2 + 24637*f**2*u**2 wrt f?\nAnswer: -1121160*f**3*u**2 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 1 (b) 0.5 (c) -24 (d) -86 (e) -9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -14\/110555?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -496\/15 - -98\/3. Let f = 128.1 + -134. Let p = f - -6. Which is the nearest to u? (a) p (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10158 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2. Let x(s) be the first derivative of s**5\/60 - 4*s**3\/3 + 2. Let r(l) be the third derivative of x(l). Calculate r(t(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10110201313210 - -1?\nAnswer: -10110201313203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6)*-1)\/((-14)\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p - 116. What is the smallest common multiple of 30 and f(36)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -501*v**4*x**2 - 2676*v**4 + 26825178*x**2 with respect to v.\nAnswer: -2004*v**3*x**2 - 10704*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v**2 - 411676. Let a(q) = 16*q. Calculate n(a(i)).\nAnswer: 2816*i**2 - 411676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 + -4?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 2*w. Solve 3 = -2*s - 2*b + 1, 0 = 3*s + w*b + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7) + (56 - 53)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, -71, -187, -401, -743?\n\"Answer: -5*z**3 - 4*z**2 - z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r\/r**(-1\/4))\/r)\/r))\/r**(-1\/8))**8 assuming r is positive.\nAnswer: r**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0*y**2 - 3*y + 1\/15*y**6 + 0 + 0*y**4 + 0*y**5 + 1\/3*y**3. Find the second derivative of p(f) wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4906689427 to the power of 1\/2, to the nearest integer?\nAnswer: 70048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**33*n**(3\/10) assuming n is positive.\nAnswer: n**(343\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 7. Let r(k) = -k + 1. Calculate -2*r(j) + x(j).\nAnswer: 4*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7518?\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:03 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 229810 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3.041144*-0.33\nAnswer: -1.00357752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 441182?\nAnswer: 2647092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 7, e: 2}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1452770262 divided by 6.\nAnswer: -242128377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110.31 + -109.81. Let j = 5 - 5.4. Let t = -1 + 4. What is the smallest value in t, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 9766066*t\/5 - 23844011279089\/5.\nAnswer: -(t - 4883033)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**2)*a)**(5\/11)\/(a\/a**(-4))**(-22) assuming a is positive.\nAnswer: a**(1205\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-78 + 85 + 365)*(-5 + 3 - 2*p + 3*p).\nAnswer: 372*p - 744","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/(sqrt(9)*-1))\/(6*(sqrt(3) - (sqrt(3) - -2*sqrt(3))))*-5)**2.\nAnswer: 25\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650461 is divided by 1122.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -616 + 657. Is 0.1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -237.901 or 6?\nAnswer: -237.901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5813 and 2?\nAnswer: -11626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from xaasx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 38.0180513.\nAnswer: 38.5180513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11129343, 22258683, 33388023, 44517363, 55646703, 66776043?\nAnswer: 77905383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2. Let a(g) = -g**2 - 40*g. Give a(p(m)).\nAnswer: -4*m**4 - 80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 860, 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*n + 4, -5*s - 5*n = -3*s - 7. Suppose -25*d = -28*d + 12, -3*t + 4*d - 4 = 0. What is the remainder when t is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1938*v**2 - 266 + 266 - 15*v - 1939*v**2.\nAnswer: -v**2 - 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 0*a + 3*a - 1 + a + 1 - 2*a - a + a + (1 + 2 - 1)*(0 + 2*a + 0) - 1 - 3*a + 3*a - a.\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 35\/2 - 37\/4*f + 1\/4*f**2 = 0.\nAnswer: 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157d71 (base 14) to base 2.\nAnswer: 10110111100010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -29273 (b) -0.4 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d - 6*d + 13*d)*(0*d - 4*d + 2*d) + 6*d**2 + d**2 - 2*d**2 - d**2 - 2*d**2 + d**2.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q + 7*q + 8*q - 10*q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 - 96. Find the second derivative of 2*a**x - 119*a - 2*a**3 + 122*a + 29*a**5 wrt a.\nAnswer: 580*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3095 rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymmqymqmmmyymyy. Give prob of sequence ym.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**2\/7 - 10989*z\/7 + 131610 = 0. What is z?\nAnswer: -3745, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 7*c - 2*c + 2*c + 1 - 1 - 2*c + 2*c + c + (-3 - 2 + 3)*(-2 + 2 + c) + 891*c - 1641*c + 877*c + 2*c + 0*c + 0*c.\nAnswer: 134*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80714203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2470442?\nAnswer: 2, 13, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l - 216 = 162 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**4 + 121*g**2 + g + 1447.\nAnswer: -8*g**3 + 242*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -918, -1835, -2752, -3669?\nAnswer: -4586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -855, -2145, -3845, -5955, -8475, -11405?\n\"Answer: -205*k**2 - 675*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1730752 by 54086.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w + 366319 - 366319 + 7*w.\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392 divided by 56.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = 2*m + 178, -2*o + 2*m = -118. Let t be -3 - (1 - 4*7). Calculate the greatest common divisor of o and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 361 = -n, -4*n = n - 5. Suppose -301 = -5*k + j, 0 = -4*k - 2*j + 137 + 101. Calculate the greatest common divisor of l and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-264)\/(-77) - (-8)\/14. Let h(r) be the first derivative of -1\/3*r**2 + 8 - 4\/3*r - 5\/6*r**y + 16\/9*r**3. Factor h(u).\nAnswer: -2*(u - 1)**2*(5*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695358 to the power of 1\/2, to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 0*r + 0*r + (1 - 1 - r)*(r - 1 + 1) + r**2 - 5*r**2 + 0*r**2 - r**2 + 0 + 0 + 2*r**2 - 2*r**2 - r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 117073014 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from jyjjs?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 29, -2, -1 in ascending order.\nAnswer: -2, -1, 8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.67 (b) -381\/8 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/17, -1\/8, -173, 0.71, 1.1?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -9*w + 14*w. Let c = 35 + w. Suppose 0 = -5*t + 30 + c. Calculate the smallest common multiple of 6 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54775687 * 0.5\nAnswer: -27387843.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62 less than 5659?\nAnswer: 5658.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 474087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 653975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awwwa. Give prob of sequence ww.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27178 and 101346.\nAnswer: 10844022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2849\/77*((-11)\/(55\/(-10)))\/2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 50?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -1.3, 14, 0.4, 5, -14 in ascending order.\nAnswer: -14, -1.3, 1\/8, 0.4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -0.03 (c) 2\/9 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 5*x**3 - 2*x**3 - 2 + 2*x**3 + 2 + 0 + x**3 + 0 + 3*x + 2*x**3 - 3*x + (0 - 3 + 2)*(3*x**3 + x**3 - 6*x**3) - 19*x**2 + 19*x**2 + 6*x**3.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19588056 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54610?\nAnswer: 2, 5, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -248725*r**4 + 131002.\nAnswer: -994900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -161*q**3 - 2741*q**2 - 80*q - 194. What is u(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(-1 + sqrt(2057)))**2 + -2 + -4.\nAnswer: -176*sqrt(17) + 32910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 22 = 6*o - 4*o + 4, -2*o = 8*n - 38 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -27\/5988983?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750708 = 15*n - 39*n + 78*n. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 2\/9 (c) -1 (d) 29\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.97 + -0.03. Let s be (3\/(-9))\/(1\/3). Let y = 210 + -3152\/15. Which is the closest to s? (a) w (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18007*t*u + 4*u - 6901 with respect to t.\nAnswer: -18007*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 4*o - o)*(0*o - o - o)*(-2*o**2 - o**2 + 2*o**2).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 231\/49 + (-15)\/(-9)*-3. Do p and -40\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36.5 times -23\nAnswer: 839.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*u - 51*u + 5*n + 11825, 2*u - 5895 = -n. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/36150 and 63\/2410?\nAnswer: 36150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(706 - 6100*z + 6107*z + 68).\nAnswer: 7*z + 774","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 12. Let h(s) = -879*s. Give h(m(p)).\nAnswer: 1758*p - 10548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*t**2 - 222 + 222 to the form z + i*t**2 + q*t and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 17 = 4*y. Suppose 2*u + 2*q - 6 = -3*u, -10 = -3*u + 2*q. Suppose -3*a - u*a = 5*j - 130, j - 2*a - y = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-60)*1 + (-3)\/30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (-2077)\/(-31) + 27.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nenmmyaajeaem. Give prob of picking 2 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 364*b**3 + 195*b**2 + 8064206 wrt b.\nAnswer: 1092*b**2 + 390*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -10*c - 14. Suppose -m - 28 = 2*n, 0 = -c*m + 3*n + n - 16. Which is smaller: m or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + f - 2. Let k be d(-3). Suppose -9 = -k*g - 1. Suppose -2*z + z = -4*x + 3, z - 1 = g*x. Solve 0*o = -x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198184919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 4*d + 8. Let j(r) = -r**3 + 26*r**2 + 2*r - 47. Let b be j(26). Let k be u(b). Do 130\/9 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75833368 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 3*l + 2. Suppose 3*j - 6*j = -3. Let q be b(j). Differentiate -2*v**4 + q + 7 + 0 + 0 wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44221, -88395, -132565, -176731, -220893, -265051?\nAnswer: -309205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 5*i - 265. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000 + -21011002210?\nAnswer: -21011100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3239*v**2 - 2 + 3234*v**2 + 2 - 6473*v**2 + 37*v**3.\nAnswer: 37*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 14) to base 6\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11202133 - 1103200?\nAnswer: -12311333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 4:26 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**10\/37800 - j**6\/360 - j**5\/60 + 2*j**2. Let f(y) be the third derivative of n(y). What is the derivative of f(k) wrt k?\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**2 + 185*m - 735. Calculate the remainder when 1354 is divided by p(25).\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + -44. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (8 + -23 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3 + 1. Let z be (-5)\/10*o\/13. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 16*r**3 + 467*r**2 - 398*r - 23. Calculate l(-30).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, m: 6, x: 4, f: 3}. Give prob of picking 2 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 213 = 2*n - 3*l, 0 = -l + 4. Let a = 1150 - 788. Let w = a - n. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 7*w**2 - w**2)*(102 - 102 - 12*w**2)*(-3 - 5 + 3).\nAnswer: 360*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 18147336?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let w be (3 - u)*5\/(-4). Let d = 7 + w. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - (7 - (1 - 12)) - -3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 9*j**2 - 9*j - 6. Let o be h(-8). Let f(i) = 31*i**3 + 2*i - 1. Is f(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -571 or -328?\nAnswer: -571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0*w + 18*w)*(353*w**2 - 472*w**2 + 399*w**2).\nAnswer: 4200*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2501368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**4 + 2*w - 5*w**4 + 4*w**3 - 2*w**3 to the form s*w + k*w**4 + y + z*w**3 + t*w**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94588 and -0.2.\nAnswer: -18917.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -27.5. Let u = 11.2 + -11.1. Which is the nearest to u? (a) 0.2 (b) m (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10045 - 3604. List the prime factors of g.\nAnswer: 3, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10 - 3\/2)\/(114\/2508).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*k + 1843 = -1121. Solve -58*q + k*q - 160 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttthhccyckch. What is prob of picking 1 t and 1 c?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 17*o + 7. Let c be y(-8). Is 10 a factor of (21\/6*-16)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205560 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/18*(-1 + 4). Suppose p*t + 10 = 5*y, 10 = 7*y - 2*y. Which is bigger: -1\/95 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.31 (b) 0.4 (c) -5 (d) -2.99 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -58, 264 in descending order.\nAnswer: 264, 49, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -273*o**2 + 501*o - 228.\nAnswer: -3*(o - 1)*(91*o - 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 35. Let r = u + -23. Let v be 1\/2*-6 - -4. Sort v, r, -2 in descending order.\nAnswer: v, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1749)\/(-22))\/(((-12)\/(-10))\/((-16)\/(-20))). Which is the third smallest value? (a) 0.5 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 4, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + sqrt(76) + 2)**2.\nAnswer: 12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2 = 2*s, s = -z + 2*z + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1088) - 6*(1*sqrt(1088) - sqrt(1088)) - sqrt(1088)) + -3)**2 + 0)*3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(12) + -5 + sqrt(12)\/sqrt(4) + (1 + sqrt(3))*-6.\nAnswer: -14 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.067 and 0.4.\nAnswer: -0.0268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3040 - 83*l - 3040)*(-l - 4*l + 4*l) in the form v*l + k*l**2 + o and give k.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 0*u + 5*u - 9, -3*y = 3*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-16) + ((-6)\/(-8))\/3. Let r be (-18)\/(-27)*(s - 2) - -3. What is the remainder when 42 is divided by (-14)\/(-3) + r\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3122\/3 - -1041. Let u = 2 + 0. What is the smallest value in -2\/13, l, u, 8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -30, 2 in decreasing order.\nAnswer: 56, 2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22977 + 22986. What is the closest to k in -1, 6, -3\/7, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + (sqrt(208) + (sqrt(208) - (sqrt(208) + -3)))*2 + sqrt(208)*-1*4) + 3)**2.\nAnswer: 32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 10. Suppose -2*h = h - 12. Suppose -3*t + 25 = -u, 5*u + 0*t + 70 = h*t. Let j be c(u). Is j greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81.5 - 81. Which is the smallest value? (a) -6 (b) -1\/2 (c) i (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*a**2 - 3 + 21*a**2 - 205*a**2 - 3 + 5 - 221*a**4 wrt a.\nAnswer: -5304*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 35 (c) 6\/353 (d) 0.24 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77, -215, -451, -791, -1241, -1807, -2495?\n\"Answer: -x**3 - 43*x**2 - 2*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 3*o - 6. Let x be n(5). Let g = -29 - x. Suppose -4*s = -s - g. What is the highest common factor of 36 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9656.999991374 + 9657. What is p rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 7230 = 3*r - 7244, 5*r - 3*r - 4 - 2 = -2*c for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 6*j**2 - 6*j - 2. Let c be r(7). Suppose 4*k - 815 = c*m, -5*m + 415 = -9*k + 11*k. Calculate the remainder when k is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmkmkmkmmzmkkmkm. Give prob of sequence kkz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 2*l**3 + 2*l + 3*l**3 - 4*l**3 + 3*l**3 + (-l**2 - 3*l**2 + 5*l**2)*(-2 + 2 + 2*l) - 917*l**2 + 917*l**2 + 68*l**3.\nAnswer: 74*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:18 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 69 = 66. Differentiate -23 + l**4 - b*l**4 - 99*l**2 + 101*l**2 wrt l.\nAnswer: -8*l**3 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 + m + 1. Let j be n(-1). Let u = -23781 + 23786. Put j, -2\/9, u, 2 in descending order.\nAnswer: u, 2, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(2))**2 - sqrt(2)) + -1 - (sqrt(24)\/(sqrt(12) + (sqrt(12) - sqrt(108))) - sqrt(2))) + -2.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, h: 2, q: 1, m: 1, g: 1, e: 1}. Give prob of picking 1 s and 1 g.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1360 and -91\/1384888.\nAnswer: 13848880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t - 421 = -3899. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11743, -23489, -35245, -47017, -58811?\nAnswer: -70633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 14*g**2 + 16*g - 6. What is the units digit of p(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121125 + 36405 = 6*s + 4*w, -4*w + 105016 = 4*s. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -6 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3318 + 9051 = 3*b. Suppose -13*w = -6*w - b. What are the prime factors of w?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38470300 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*14.87.\nAnswer: -44.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67978\/5 - 13596. What is the nearest to 2\/3 in u, 107, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + 0 + ((-1155)\/18)\/(-7) and -79\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63\/(-14)*(-2 - 0). Let k be (-1 - -6) + (p - 451\/33). Which is the fourth biggest value? (a) 3 (b) 0.03 (c) k (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596905 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14*t**2 - 9*t + 37. Let z be x(-10). Which is smaller: -1275 or z?\nAnswer: -1275","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6538.\nAnswer: 2, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - q + 23 = 3*k, -3*q = 5*k - 29. Suppose -4*j - 53 = 3*c - 14, k*c = -4*j - 44. What is the biggest value in 1\/6, 0, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(1 + 4*k - 1) + 192*k - 466*k + 207*k.\nAnswer: -75*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80.28237 + -79.405. What is p rounded to two decimal places?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 4087017.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8051 at most -8045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y - 12. Give k(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or 0.023?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggt when three letters picked without replacement from itgggtiigtggtgtg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 167288*b + 10873715. Give t(-65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -491*c**7\/105 - 397*c**3\/6 + 411*c**2. Find the first derivative of d(w) wrt w.\nAnswer: -3928*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(2736) + -1)*-5)**2 - (2*1*sqrt(95))\/(sqrt(80)\/sqrt(4)))*-3.\nAnswer: -5397*sqrt(19) + 615825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 328*z - 1645. What is c(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 - 23*r**2 + 11*r + 25. Give i(10).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/242, 6.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 9*t - 14*t + 7, 0 = t - 5*l + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -2092, -7209, -17184, -33637?\nAnswer: -58188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 524, -10, 4?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/1314)\/(6\/(-24)). Let j = -5893\/2190 - r. What is the common denominator of j and -77\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from zzqqzhhzqhhhhzhzhqhh?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 638 divided by 2?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 5*h - 2. Calculate x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -3, -100, -3\/8?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1309 + 82.9691. Let n = 183 + -100. Let l = s - n. Which is the biggest value? (a) -1\/8 (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:50 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fppffpfpff. What is prob of sequence ffp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9532608*b**2. Let c(i) = -2*i**2. Give r(c(f)).\nAnswer: 38130432*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkopo. What is prob of picking 1 p and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93243061 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a factor of 1983169784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)*t\/(t*t**(-6)*t)*t)\/(t**(1\/4))**34 assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p - 5607 + 9174 = -18676. What is the remainder when p is divided by 123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-5))\/(6\/(-15)). Suppose 0 = -t*a - 2*v + 46, a + 3*a = -2*v + 36. Let d(w) = w**3 + w**2 + 28. What is the remainder when d(0) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186*l - 584*l**2 + 1067 - 2143 + 1076 wrt l.\nAnswer: -1168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) 16 (c) 1\/63 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (-3 - (1 - -1)*-3). Solve s - 5*k = -i*k + 9, 5 = -3*s + k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -69*a + 74*a + 1210, 2*c + 4*a = 460. Calculate the remainder when 9518 is divided by c.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1071 = -3*v + 3*f, v - 350 = -f. Is v a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 31*y**2 + 33*y**2 - y**4 + 0 to the form c*y + g + i*y**2 + j*y**3 + z*y**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296172 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*o + (7*o + 4*o + 6*o)*(1 + 0 - 3) - 3 + 2*o + 3)*(-4*o + o**2 - 2 + 1 + 5*o).\nAnswer: -29*o**3 - 29*o**2 + 29*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + y)*(3 - 4 + 0) - y + 4 - 4 + 6*y - 4*y - y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*u + 19. Suppose -3*s = -4*s + u. Let r = 51 + s. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345 is divided by 298?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -59. Let p be f\/2 + 808\/16. Let q = -42 + p. Solve 1 = 5*z - q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggnggn. What is prob of sequence gng?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 633 = -5*v - 625, 0 = 7*v + 4*i - 45 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25137\/756)\/((-21)\/(-12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, x: 2, t: 2, z: 4}. Give prob of sequence aztt.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10708 is divided by 2139?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + -0.25. Let l = -4130.5 + 4132.5. Which is the third smallest value? (a) k (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {x: 6, g: 12}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 477 = -701 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 1. Let h = -2 + v. Put 5, 2, h in increasing order.\nAnswer: 2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9235 or -9236?\nAnswer: -9235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*5)\/((-303)\/707*210\/216).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 81266*t + 124749.\nAnswer: 81266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116585071.\nAnswer: 116585071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6*21*(-16)\/(-150080). Let k = c + -339\/2680. Sort 2\/7, 0.31, k in descending order.\nAnswer: 0.31, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33\/4 in -1\/5, 2, 71?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 62 = 5*x - 42 + 154, -x - 125 = -5*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.41 times 3.1?\nAnswer: 22.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-7))\/(4\/28). Solve 3*y + k = -2*v, 3*y + 6*v - 2*v + 20 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -799 - 5*c + c + 597 as h*c + b and give b.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28.7 and 6.38.\nAnswer: -22.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6885*k**4 - 49*k**3 - 877*k**2 - 87*k - 13 wrt k?\nAnswer: 165240*k - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1584219, 6336848, 14257887, 25347330, 39605171, 57031404, 77626023?\nAnswer: 101389022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -2*h**2 - 5\/6*h**3 + 0 - 10*h + 1\/6*h**4. Determine s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-1)\/(-4)). Suppose -h = 2*j - 10. Solve 2*n - j*n = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*p**3 - 514*p**2 - 2444*p - 656.\nAnswer: 2*(p - 41)*(p + 4)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:18 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.7963 + 0.0037. Let u = v + -22.8. Which is the smallest value? (a) -0.6 (b) 10 (c) -2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.3 + -7. Let k = -161\/3 + 2087\/39. What is the nearest to 0 in 1\/5, l, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h**2 + 4. Let q(p) = 12*p**2 - 1. Calculate q(k(v)).\nAnswer: 1452*v**4 - 1056*v**2 + 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j**(-2\/17)\/j)*j))*j*j**(2\/17))**(-27) assuming j is positive.\nAnswer: j**(-1944\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (300\/(-55) - -1) + 5.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 279451 and 0.24.\nAnswer: 279451.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -406 + 405. Let u = -1.1 + -3.9. Which is the closest to j? (a) u (b) 1\/7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g - 48780*g**2 + 48780*g**2 + 38 - 31*g**3 wrt g?\nAnswer: -186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 44 = -159*j + 164*j, -2*j + 4*n = -32 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13891*c - 4 + 5 - 3 + 4 - 13674*c + 1 - 10*c - 1 + (2*c + 0*c - 3*c)*(1 - 3 + 0).\nAnswer: 209*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -708252\nAnswer: -56660.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4 + 2*t**3 + 18*t**3 + 6*t**3 - 10*t**3 = 0 for t.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3740 and 2703600?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 + 1)*(-16*w + 16*w + 3*w**3) + (0 - 2*w**2 + 0)*(11*w - 8*w - 7*w) as y + f*w**3 + x*w**2 + j*w and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*c + 61*c - 22*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -4*c - 280, -108*x = -103*x + 3*c - 100 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-3*u**2 + 2*u**2 - u**2 + (-2 + 0 + 0)*(u + u + 5*u)*(4*u + 2 - 2)).\nAnswer: -58*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z. Let l be g(-1). Let m = l - -10. What is the greatest common factor of m and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 120 = r, 2*r = -2*m + 3*r - 79. Let x(n) = n**2 + 12*n + 8. Let l be x(-7). Let u = l - m. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2280403 = 6053325. Let k = p + 476461. What is k rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-7)*3\/(6*1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 8 = h. Let r be 2\/(-7) - (-30)\/h. Is 12 a factor of (2 + (r - 1))*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**5\/10 - g**4\/4 - 5*g**3\/6 + 7*g**2\/2 + 9*g. Let w be u(3). Calculate the greatest common factor of 171 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2 + 3 = 3*y, 14 = 4*z + 5*y. Let a(r) be the third derivative of -r**6\/12 - r**4\/12 + r**3\/6 - 4*r**2. What is a(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5428608 divided by 3216.\nAnswer: -1688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 8*k + 8. Let r = -554 - -548. What is v(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*k + 42, 2*r - k = -4*k - 39. List the prime factors of ((-16)\/10)\/(3\/r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/25)*m**16 assuming m is positive.\nAnswer: m**(398\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.18 - 0.82. Let m = -7 - -13. Suppose -5*o - m + 1 = 0, 3*o = -2*k + 3. Which is the third biggest value? (a) p (b) -2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 4175925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67 - 7?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -423, -3813, -10171, -19497, -31791, -47053?\n\"Answer: -1484*k**2 + 1062*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30686 * -994\nAnswer: -30501884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-132)\/154 - (-12)\/14. Let x(u) = u**2 + 6*u + 42. What is the remainder when x(h) is divided by 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*h + 15*h = -91460. Does 33 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25585798 to the nearest integer?\nAnswer: 5058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4553240 and -71\/9790.\nAnswer: 50085640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28823972 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-438)\/90 + (-4)\/30. What is the second smallest value in 0.1, -6, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -2*x**4 - 9*x**2\/2 - 4. Find the second derivative of b(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f - 2. Let c be (-2 + (-16)\/(-6))*-6. Let l be h(c). What is the greatest common divisor of l and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(209)*2)\/sqrt(11)) + sqrt(19)*-4 + 2)**2*1.\nAnswer: -20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -20. Let q(k) = -2*k**2 + k. Let v be q(-4). Let b = v + 69. What is the remainder when b is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) - (-90)\/(-21). What are the prime factors of 235\/15 + y\/6?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2172 - 2172.00102. Round y to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(4\/2))\/((-4)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059 is divided by 304.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 72, -5, -11, -4, 60 in increasing order.\nAnswer: -11, -5, -4, -2, 3, 60, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24101*w + 863 = 361762 + 265727 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6 + 2 - 5*b + 7 + 4*b**2. Calculate t(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 14 = -5*d, -1 = -3*j + 4*d - 3. Suppose -20 = 5*t, 176 = 2*p - j*t + 3*t. What is the greatest common factor of 36 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12503.05861 - 12503. Let k = -11.942 + 12. Let g = k - m. Round g to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5315 times -0.176\nAnswer: 935.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*43.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1532, 5851, 13054, 23153, 36160, 52087, 70946?\nAnswer: 92749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*d - 810 = 33*d - 320. Solve 5*g - d*o + 18 = 4*g, 3*g + 2*o - 14 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 8*j + 7*j + 343*j**2 - 14*j to u + x*j**2 + h*j and give x.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, 33, 0 in descending order.\nAnswer: 174, 33, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9131 at most 8868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 14. Let k be c(-7). Suppose k = -z - 1 + 17. Calculate the least common multiple of 2 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60776691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*0\/1. Suppose 3*x + i - 14 = g, -6*x = -3*x - i - 4. Find the third derivative of -j + j + 2*j**2 + j**x wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.5095 + -0.3615. Let i = -26.1 + b. Round i to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 + 162.3. Let n = f - 7. What is the smallest value in n, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjuujjjuuu. Give prob of sequence jju.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-110)*1\/((-4)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/6, 1214, 4, 1\/2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.393 - -0.607. Which is the closest to -3? (a) 2 (b) v (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -7963.89.\nAnswer: -7964.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 740749958*v + 129078. Let a(m) = -28694*m - 5. Calculate 129078*a(f) + 5*y(f).\nAnswer: -14342*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -13*i - 3. Let q be z(5). Let t = q - -100. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -4*q - 15. Let g(j) = -j**2 - 4*j - 1. Let t be g(-3). Suppose -q = -t*n + c - 14, -2*n = -4*c - 16. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -662, -918, -1552, -2750, -4698?\n\"Answer: -31*p**3 - 3*p**2 - 30*p - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 30 - 10. Let c(v) = v - 1. Let u be c(t). Suppose u*y = -6, -3*j + 0*j + 3*y + 141 = 0. Calculate the remainder when j is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 6 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1333 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14993529 to the power of 1\/2, to the nearest integer?\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -34 + (-54 - (-13 + -7) - -11)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -597 - -1402. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*c**5 - 314 + 314 + ((1 + 3 - 6)*(c - 3*c + c) + c - 2 + 2 - 2*c + 0*c - c + (-1 + 4 - 2)*(5*c - c - 5*c))*(-3*c**2 + 3*c**2 + 2*c**4).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-85)*35\/84*-2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477 divided by -53.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9769.\nAnswer: 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1665.06 to the nearest 10.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 19. Let q(o) = -3*o**2 - 3*o - 3. Let k(x) = -16*x**2 - 16*x - 16. Let a(h) = n*k(h) - 11*q(h). Calculate a(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Suppose -2*z - 12 = -5*z. Let o(s) = 0*s**2 - 3*s**2 + z*s**2. Give y(o(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 - 208. Let w = u - -123. Let t(j) = -j**3 - 5*j**2 + 6*j + 2. Let z be t(-6). Which is the closest to z? (a) -1\/6 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h**2 - h**4 + 0*h**2 - 13*h**2 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -174472*w - 3729. Let f(c) = 561*c + 12. Determine -1243*f(l) - 4*p(l).\nAnswer: 565*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 22*s**2 - 10*s - 15. Let x be b(-13). Is (-1)\/(((-4)\/1)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + 1 - 2*w**2 - 141*w**2 - 90*w**2 to a*w**2 + o*w + r + l*w**3 and give a.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 29018?\nAnswer: 29016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-8)*(-6112)\/(-10696).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 620 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 7 = v, b + 0*v + 1 = -2*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 103313178?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.042 + -0.068. Let f = m - 0.19. What is the closest to -1 in f, 6, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -50, -75, -90, -89, -66?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/30 and 11\/2877?\nAnswer: 28770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 34359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**8*h)\/(h\/h**(-27)))\/(h\/((h**3\/h)\/h))**9 assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 j when three letters picked without replacement from zzdmajjzjzmtdma.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 5*u - 20. Let n be (4 + -1)*(4 + 20\/(-3)). Let f be o(n). What is the highest common divisor of f and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42746747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 7*v**2 - 10*v + 2. Let k be m(-8). Calculate the greatest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 13, -5, -0.08 in descending order.\nAnswer: 13, -0.08, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -7. Suppose 2*v + 9*w - 12*w = 67, -w - 5 = 0. Calculate the remainder when v is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Suppose m*p + p = 72. What is the third derivative of 18*j**3 - 4*j**2 - 3*j**6 - p*j**3 wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 32*b**2 + 154*b + 872. Determine v(-28).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-7 + 10 + 6)) + -3 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v - 3*v)*(v + 0 + 0)*(0*v + v - 4*v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrqvvqvryvy. What is prob of picking 1 r, 1 y, and 1 v?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53071, -105289, -157507, -209725, -261943, -314161?\nAnswer: -366379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 10*z + 15. Let i be g(11). Suppose -i*s = -156 - 368. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**1)**27\/((l**1\/l)\/l*l**(-6\/5)))**(1\/2))**(-37) assuming l is positive.\nAnswer: l**(-2701\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 - 14104212*p**2 - 28208412*p - 14104204 = 0.\nAnswer: -3526051, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001482792674 to 6 decimal places.\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-18)*(-42)\/(-161)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-18))\/(((-312)\/135)\/13)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 + 5*c + 8. Let v be 7 - (-7)\/(28\/(-20)). Let y(r) be the second derivative of -r**4\/12 + r**3\/6 + r**2 - r + 4. Calculate v*q(i) - 9*y(i).\nAnswer: -i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.849*-8549.\nAnswer: -306473.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7718484 divided by -13262.\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 718403 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*j - 170 = 0, -5*z + 243 - 53 = -5*j. Let a be -3 - (1 + -8) - 2. Suppose 0*g - a*g = -30. Calculate the remainder when z is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27696 and 4244412?\nAnswer: 16977648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2534 + 7*a - 2505 + 2*a**2 + 5017)*(0*a + 3*a + 2 - a) in the form i*a**3 + b*a**2 + w + q*a and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 390 and 330?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -875a?\nAnswer: 875b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 13)\/(96\/(-192)) + -5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3 - 5. Let d = 0.8003 + -46.6903. Let q = d + 46. Which is the biggest value? (a) q (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 204 + 3 + -2. Let r be 120\/q + 0 + 17\/7. Solve -r*x = -4*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = 5*z, -9 = -5*x - 0*z + 4*z. Let a be ((-7)\/(-21))\/(x\/(-15)). Sort a, 6\/11, 0 in descending order.\nAnswer: 6\/11, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b*b**6*b)**(1\/8)*(b*b*b**(1\/3)*b)\/b**(-5)*b**(-1)\/(b*b**5) assuming b is positive.\nAnswer: b**(227\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 0*j + 2*j - 2*j + 0 + 0 + (-1 + 3 + 0)*(0*j + 2*j - 4*j))*(53 + 0 - 23)*(-14 + 16 + 14)*(-4 + 1 + 2).\nAnswer: 1920*j + 1920","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1198 or -1197?\nAnswer: -1198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**3 - 8*s**2 + 4*s + 64. Let v(f) = 6*f**3 - 10*f**2 + 5*f + 65. Calculate -4*v(r) + 5*z(r).\nAnswer: r**3 + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 399*x - 398. Let i be v(1). Which is the third smallest value? (a) -2\/255 (b) 0.05 (c) 4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -331, 0, 3, 2, 15 in ascending order.\nAnswer: -331, 0, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.13 + 0.13. Let i = o - -4.4. Let p = 2 + i. Round p to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g**2 + 6*g - 3*g**3 - 2*g**3 + 5 + 6*g**3. Let q = 200 + -194. Let j be o(q). Solve 0 = -c - 2 + j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + 5*b**4 - 2*b**4 + 1 - 1 + b**4 + (-2*b**2 + 2*b**2 + b**3)*(2*b + b - 5*b) + b**4 + b**4 - b**4.\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzzzffzggzgzzggg. Give prob of picking 2 z and 1 g.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 183*p**3\/2 + 187*p**2\/2 + 2*p = 0.\nAnswer: -1, -4\/183, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w - 116*w - 137*w to x*w + f and give x.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2407 = -3*q + 5*x + 2395, 2*x = -5*q + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4644 - ((7 - 2) + 3). Suppose -4 = -5*x + 3*x, -2*x - k = -5*d. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460391 a multiple of 541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15261.4 - -15252. What is the third biggest value in n, 0.2, 3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.3483 to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 183149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 522*m + 33635. What is j(-67)?\nAnswer: -1339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 25566?\nAnswer: 25566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/156*((-6)\/5 + 0). Which is smaller: y or 1.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - ((-13974)\/297 - (-72)\/264)?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 6*b - 4*b + 4, 0 = b + 2*o + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 385196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1. Let n(i) = -5*i**2 + 10. Let b(f) = -5*l(f) + n(f). Find p, given that b(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51 - 106?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496770 is divided by 1436.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:48 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x. Let k(u) = 41*u - 2748. Calculate i(k(j)).\nAnswer: -123*j + 8244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71, 223, 459, 779, 1183?\n\"Answer: 42*s**2 + 26*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2077291 divided by -37\nAnswer: 56143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(175) - ((sqrt(175) + 1 + -3)**2 - sqrt(175))).\nAnswer: -176 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.2738?\nAnswer: -0.2738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6392560.\nAnswer: 2, 5, 79907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (560\/12 - (-960)\/288)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 4937865420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 210 - 26 = 0. Let z be 25\/(((-82)\/17 - -5)\/3). Let y = 451 - z. Calculate the remainder when g is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2829535?\nAnswer: 5, 565907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7138 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 4*s + 124. Let x(z) = -9*z**2 - 33*z + 1023. Let r(n) = -33*g(n) + 4*x(n). Let b(h) = 3 - 3 - 25*h. Determine r(b(a)).\nAnswer: -1875*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 6*i - 3 = 0. Solve -i*m = -6 - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181439119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1227911530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 158963807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/23))\/(s**(2\/11)\/s) assuming s is positive.\nAnswer: s**(482\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 744374.2 and 0.4.\nAnswer: 297749.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*j + 62, -2465*j + 2462*j - 51 = 2*o + 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -31*x**2 + 0*x - 1\/15*x**5 - 1\/3*x**4 + 16\/3*x**3 + 0. Solve k(l) = 0 for l.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12343 (base 6) to base 10\nAnswer: -1863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(220)*2)\/sqrt(11))\/(sqrt(10) + -2*sqrt(20)\/sqrt(2)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and 20.5.\nAnswer: 19.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1306989*t**2 - 1036214 wrt t.\nAnswer: 2613978*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + (sqrt(85) - (sqrt(85) - -1*sqrt(85))))*1 - -5*(sqrt(85)*-2 - sqrt(85)))\/(4*(sqrt(20) - sqrt(500))\/sqrt(4)))**2.\nAnswer: 3825\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.19, 0.3, 4\/5, -6?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -71, -193, -367, -593?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -29970276.86 to the nearest one thousand.\nAnswer: -29970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3151, -3183, -3229, -3283, -3339?\nAnswer: -3391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**4 - 212*h**3*v**3 + h**2*v**3 - 54*h**2*v**2 + 5*v wrt h?\nAnswer: -48*h - 1272*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.20661565.\nAnswer: -0.08264626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*a - 746 + 983 = 3252 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266 and 14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + 14*t - 2*t**4 + t - 19*t + 52*t**2 + 2*t to the form s*t**4 + v*t**2 + p*t**3 + f + x*t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 + -52. Let l = 39 - d. Suppose 28*o - 30*o = -l. Solve 5*f - 24 = -o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233*j*m*u**3 + 2*j*m + j*u**2 + 2*j*u - 14*m*u**2 - 21*m*u + 6*u**5 wrt u.\nAnswer: -1398*j*m + 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 580.6888l in millilitres?\nAnswer: 580688.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -7. Suppose -4*c - 4 = -46*u + 50*u, 0 = c + 4*u - 11. Let v = -2.7 - -0.7. What is the second smallest value in c, -10, v, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-26\/3)\/(v\/((v\/(v*v*v**(-7)))\/v)*v**(-2\/5)))\/((v**(-2)*v**6)\/(v**1)**(-26\/3)) assuming v is positive.\nAnswer: v**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194902, -194924, -194946?\nAnswer: -194968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -147 (b) 4 (c) -126 (d) 0.6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. What is the third derivative of -y**6 - 5*y**2 + 3*y**l + y**2 wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -17. Suppose -4*v = 4*y - 4, p*y - 3*v = -y - 11. Let b be (y\/(-3))\/(6\/9). Solve b = -5*x + 4*c, 4*c + 5 = 3*x - 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, -1, 1405, 8.\nAnswer: -25, -1, 5, 8, 1405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.153 + 12.647. Let t = k - 13. Let q = 1.355 - 0.955. Put q, t, -1, 3 in ascending order.\nAnswer: -1, t, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16583)\/21)\/(-103)*3\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.904 - -3694894\nAnswer: 3694894.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d - 58*d**2 + 0*d + 1 + 51*d**2 + 19*d + 10*d to the form p*d + x*d**2 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 2*b + 4. Determine w(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/56*(24\/(-16) - -1). Which is the third biggest value? (a) 18 (b) i (c) 1\/5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (8 + (-9 - -13)). Put -1, 33, -3, g in descending order.\nAnswer: 33, -1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 97412580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 533 + -908. Let l = -374.8 - t. Which is the second biggest value? (a) l (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-2358\nAnswer: 11790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 9*x - 5*x - 4 + 2 - 2*x**2 in the form t + v*x**2 + y*x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:05 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 127*m**2. Let l(v) = 174984*v**2. Give c(l(t)).\nAnswer: 3888663832512*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(60\/70))\/7*18\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57137, -57135, -57133, -57131, -57129?\nAnswer: -57127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/(795\/211788*27\/10)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/2*((-300)\/(-42) + -6). Sort 1, -3, w, 81 in ascending order.\nAnswer: -3, 1, w, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41\/32 - 179\/352. What is the common denominator of p and 87\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14054*m + 28104*m - 14050*m - 7*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1\/14 (c) -125\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 3. Let k be p(5). Solve 16 - 2*t + 2*t**k - 20 + 4*t = 0 for t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y = 22*y - 112 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 253 + -257.62. Round t to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7070 - -7074. What is the nearest to h in 3, -2, -5, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -379511, -379502, -379481, -379442, -379379, -379286, -379157, -378986?\n\"Answer: z**3 + 2*z - 379514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*m = -m - 11, 0 = m + 5. Suppose -r*j + 3 = -3. Solve o - j = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26020966?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/113013 - 903182\/52098993. Is o > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 33. Let w(s) = -2 + s**v + 4*s**3 - s**3 + s**3 - 2*s**2 - 2*s. Let p(i) = 6*i**3 - 3*i**2 - 3*i - 3. What is 2*p(u) - 3*w(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 3\/263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.2 - 118.8. Let u = l - -139.99. What is u rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/17 and -47\/7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004663 to 7 decimal places.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22 + 29 - 128 + 398*s**2 - 11 - 120 wrt s?\nAnswer: 796*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010000011001101 (base 2) to base 13.\nAnswer: -4b635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581128 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6302919 is divided by 2100972.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 136*k - 48. Let b(t) = -2*t. Determine b(y(c)).\nAnswer: -272*c + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004578 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 278526192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -239\/8 (b) 4 (c) -0.5 (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/4)\/((-21)\/(-28)). Which is the nearest to o? (a) 0.2 (b) 4\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 k when three letters picked without replacement from {s: 3, k: 3, d: 3, u: 4}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -93*r - 7. Let g be q(-2). Let a = g - -7. Let x = -1109\/6 + a. Calculate the common denominator of x and 65\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 + -42 + 17 + 18 + (16 - -2) + -8?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.06 + 3. Let l = s + -0.04. Let x be (5\/9)\/(100\/40). Which is the nearest to 1? (a) x (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*i - 222566866*d - 42858*i**2 - 1550*i wrt i?\nAnswer: -2*d - 85716*i - 1550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2637\/29 or 90?\nAnswer: 2637\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (169 + 158 - 267)*(-3*w**3 - 7*w**3 + 5*w**3) to the form m + p*w**2 + v*w + t*w**3 and give t.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10383 is divided by 217.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1078\/(-55))\/2 - -8)*(-8)\/(-12).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*s - 96*s - 2895 = -74*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l + 10. Let u(v) = -3*v + 9. Let d(r) = r + 1. Let z be d(2). Give z*u(i) - 2*f(i).\nAnswer: -i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 - -126. What is the units digit of (-30)\/6 - w - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3865, -7949, -11771, -15325, -18605?\n\"Answer: q**3 + 125*q**2 - 4466*q + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9186880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45896 or 45902?\nAnswer: 45902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h**2 - h - 3. Let n(o) = o**2 - 6*o + 1. Let b be n(7). Let q(p) = -p**2 + 7 - b - 3*p**2. Calculate 5*q(z) - 2*w(z).\nAnswer: -2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/21 (c) -941 (d) 11 (e) -1 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 272*b - 49776. Give h(183).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 less than 4.1?\nAnswer: -34.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u + 79*u - 30*u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051426 rounded to six dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15257250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30815478 and 18063?\nAnswer: 30815478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7346.583 hours to minutes.\nAnswer: 440794.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54304 divided by -436\nAnswer: -13576\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 35 = 5*f, -2*q + 1 - 2 = 3*f. Let j = -137 + 135. Let p = -42 - -128\/3. Which is the closest to p? (a) q (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 divided by 5?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncspsymy. Give prob of picking 1 n and 2 y.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.1, -116, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1\/2*(-6)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 24 - 10 - -20) + -16 + 1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + ((2 + sqrt(432))*4 + -3)**2) + 0.\nAnswer: -13872 - 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.043326742 to 3 decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2 - 2 + k + 0*k. Let a(d) = d - 5. Suppose -9*p + 4*p - 25 = 0. What is p*z(n) + 4*a(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**27)\/u*u)\/u**(1\/2)*u**(10\/11)\/(u\/u**(-13)) assuming u is positive.\nAnswer: u**(317\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + 5 + 67 + -73.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 1. Let j(n) = -5278*n - 5298*n + 10597*n - 6. Calculate 5*i(g) - j(g).\nAnswer: -26*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-136)\/51*3\/(-2). What is the third smallest value in -5, m, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, y: 3, w: 1, t: 13, e: 2}. What is prob of sequence bweb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 97*h**6\/420 - 293*h**5\/210 + h**4\/14 + 4511*h**2. Factor n(a).\nAnswer: 2*a*(a - 3)*(97*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*-3*(-2)\/(-15)*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n. Let u(k) = -k. Let m(r) = -6*g(r) + 13*u(r). Let t(l) = -3*l**2. Calculate t(m(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 20 = 4*p, -70 = -3*v + 4*p - 57 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 48 + (-32 - (-3 + (2 - -1))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-20))\/(2\/15). Let z be 2 + (c\/2 - -3)\/(-4). What is the second derivative of 2*p - 104*p**2 + 104*p**2 - z - 12*p**4 + 1 wrt p?\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2 + 4943*f - 907632 = 0.\nAnswer: 191, 4752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -32*i + 48. Is 4 a factor of n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -61. Let a = u - -28. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/8 + 9*w\/8.\nAnswer: -w*(w - 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1 - 3\/(-4)). Let j = 2 - l. Is j at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*x, 0 = -2*s + x + x + 4. Calculate the least common multiple of (28\/(-35))\/(s\/5) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276.9 * -7\nAnswer: -1938.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 7*w**2 - 3*w - 5. Let g be -9 + (21 - 4) + (-7 - -7). Determine f(g).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*21 + 569 + -557.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 l when three letters picked without replacement from {m: 3, r: 1, l: 1, o: 2, h: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 10. Let b(k) = -9*k + 8. Let v be b(4). Let d = v + 21. Calculate p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from qddpd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-110))\/((-2)\/(-8)). Let c be (-29)\/11 - (-380)\/152. Let p = k + c. Which is smaller: 1\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1347396, 2694792, 4042188, 5389584, 6736980, 8084376?\n\"Answer: 1347396*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 7*l**2 + 6883*l + 41352. What is p(-6)?\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 73. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3270*w**3 - w**2 - 8*w**2 + 3274*w**3.\nAnswer: 4*w**3 - 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19543799 is divided by 300?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 84 + 156 - 2*z**2 + 2*z. List the prime factors of i(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23161192*p**4 - 17652636*p**2?\nAnswer: -555868608*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23121 - -2302220?\nAnswer: 2332001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -25, 7, 75, 191?\n\"Answer: 2*d**3 - 6*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 11. Let q be (9 - 2)*4\/7. Suppose 0 = 2*u + 2*u + r - 20, q*u - 20 = 2*r. What are the prime factors of b(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22504\/174)\/194)\/((-5)\/(-945)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -58025?\nAnswer: -58034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1264, -2525, -3786, -5047?\n\"Answer: -1261*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -56909*k**2. Let b(w) = -1045*w. Determine d(b(i)).\nAnswer: -62146050725*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141272351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -134*i + 21. Let r = -42 - -38. Let c be g(r). Let n = c + -198. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 869 - 115579\/133. Let c = 36\/133 - x. What is the nearest to c in 0.4, 4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 1017.\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -285522, -285351, -285062, -284655, -284130, -283487?\n\"Answer: 59*c**2 - 6*c - 285575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4100*f*p**4 - 2627*f*p**3 - 47375013*f with respect to p.\nAnswer: -16400*f*p**3 - 7881*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2152 or 2139?\nAnswer: 2139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3263469 is divided by 5637.\nAnswer: 5283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 14 (c) -0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v. Let f(d) be the first derivative of 3\/2*d**2 + 4 + 0*d. Give x(f(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 20. Calculate the remainder when -21*(-10120)\/1020 + 6\/(-17) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - y = -18, 2*x + 4 = -y - y. Let f be ((-194)\/(-22) - 124\/(-682)) + -9. What is the closest to f in 1, 1\/8, x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235047127?\nAnswer: 7, 587, 57203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/15 + 651\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 11*n = z + 2700, 3*n - 2*z - 2030 = 0. What is the smallest common multiple of 14 and n?\nAnswer: 4718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p*p\/(p\/(p\/p**(-24)))*p)\/p*(p**(1\/13)\/p)\/p)**(-7))**48)**(6\/11) assuming p is positive.\nAnswer: p**(-657216\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 + 12 + 6*k**2 - 2*k**4 + 12 + 22 as b*k**2 + y*k**4 + r*k + x + h*k**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 16*z**5 - 64*z + 71. Differentiate c(r) with respect to r.\nAnswer: 320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 1 (c) -0.14 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. Suppose -l - 9 = -5*j, -3 = -j - 3*l + u*l. What is the second derivative of 0*h**2 + 5*h - 4*h**2 - h**2 + j*h wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/7 - 45*r**2\/7 + 334*r\/7 + 2760 = 0. What is r?\nAnswer: -42, -23, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 612 and 4.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14263?\nAnswer: 17, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 50*g - 46*g - 16, -g = 4*q + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*l + 2268*l = 104805 for l.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 24 = -j. Suppose -j*n = -3*n - 1779. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 3)*(0 - 2 + 4)*(-7 + 3 - 1 + 3 + 0 - 1 + (-3 + 5 + 0)*(3 + 0 - 2))*((-3*t + 4*t - 2*t)*(-5*t**4 + t**4 + t**4) + 0*t**4 + 0*t**4 - 2*t**5).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, w: 2, u: 6, f: 2, s: 1, i: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2 + v - 2 + 1 + 126000*v**2. Let k be s(-1). Round k to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25843998 and 0.6.\nAnswer: -25843997.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48815539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 417*m - 2951. Give l(146).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4158096\/85 bigger than -48919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 6*q - 33. Let h be x(0). Let o(t) = -t**2 - 52*t - 122. List the prime factors of o(h).\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7 - 0.246?\nAnswer: 4.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*g**3 - 458*g**4 - 17 - 16*g**3 + 456*g**4 - 10 - 2*g**2 - 2*g to the form b*g**2 + y*g**4 + u + v*g**3 + w*g and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -14. Suppose 2*n + f = 35. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 15. Suppose j*o + 4*i = 2 - 22, -o + i = -5. Solve -5*c + 0*c + 2*q + 11 = 0, o = c + 5*q + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5884*r - 86 = -5927*r. Solve -n + 32 = -5*j + 5, 4*n + r*j + 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 1. Let s(w) be the first derivative of -3*w - 32 + 4*w**2 - 6*w**2 + 8. What is 7*a(m) + 2*s(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2\/3, -17.6759, 3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 0.1 (b) 702 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 + x**4 + 0*x**4 + (x**4 - 2*x**4 - x**4)*(-25 - 59 + 478) to v*x**4 + q + r*x**3 + m*x**2 + u*x and give v.\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -228*o + 224. Let w be i(1). Which is the smallest value? (a) w (b) 4 (c) -1\/7 (d) -92\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 124036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -218.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 2*m - 1. Let h be i(-1). Suppose 0 = 2*o - 13 - h. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -632*w + 59. Is 7 a factor of u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345331501?\nAnswer: 345331501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565220467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -14*z**4 + 5*z**3 + 5*z**2 - 5*z - 15. Let c(m) = -15*m**4 + 6*m**3 + 6*m**2 - 6*m - 16. Let f(a) = 5*c(a) - 6*w(a). Differentiate f(u) wrt u.\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + 10 + 3280753*r + 90*r**3 - 3280754*r to t*r**3 + k*r + g + z*r**2 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/2)\/(t**(6\/5)*t))**(-1))**40)**(-36) assuming t is positive.\nAnswer: t**(-2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 24\/5 of a centimeter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -5 - 6*(-6)\/18. What is the third smallest value in 0.02, j, -4\/7, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -29 (b) 1 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + 1*sqrt(320) + -4.\nAnswer: -4 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-7))\/(63\/98). Is r > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.52, -1\/18, 14.3, 1, 1\/4 in decreasing order.\nAnswer: 14.3, 1, 1\/4, -1\/18, -10.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 38.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*n + 6*n - 2*n)*(-5 - 2 + 1) + 0*n + 2*n + 0*n)*(2*n - 4*n + n) in the form a + x*n + v*n**2 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-3*(-4)\/12). Let n(w) = -w**3 - 9*w**2 - 5*w. Does 13 divide n(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2897 divided by -1.\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 7*j - 7. Let g be h(4). Suppose 18*q = g*q - 50. List the prime factors of ((-54)\/q)\/((-18)\/45)*-20.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*q**2 + 4*q**2 - q**2 + (-4 + 0 + 6)*(-27*q + 3*q**2 + 27*q) to u*q + t*q**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 456*h**2 + 150*h wrt h.\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1084885 and 3254655?\nAnswer: 3254655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(4\/9)*(-29 - -30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2)*2)\/(6\/2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q + 10. Let w(r) be the third derivative of 3*r**4\/8 + 3*r**3\/2 + 2*r**2. Let z(f) = -6*h(f) + 7*w(f). Give z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -32*s + 168. Let g be a(5). Suppose 5*i + 7 = -3. Suppose 0 = b + u - 5, 16*b + 5*u - 23 = 12*b. Sort i, g, b in ascending order.\nAnswer: i, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(32)*-4)**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394821.\nAnswer: 1394821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 11*m**6\/24 + m**5\/5 - m**4\/4 + 85*m**2. What is the third derivative of w(o) wrt o?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1220 - -869. Let t be a\/(-18)*(-8)\/(-3). What is the greatest common divisor of t and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54\/5 + 11. Let z = -2 + 1.9. Let d = 0 + z. Which is bigger: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2940*x**3 + 8768*x**3 - 2902*x**3 - 2929*x**3 + 1.\nAnswer: -3*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -3, 7.\nAnswer: -3, -2, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 182409 + 5?\nAnswer: 18240e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11424 = -12*o + 19*o. Let l = 871 - o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2aa949 - 5?\nAnswer: -2aa953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 182 = -9*s. Let f(b) = 35*b**2 + s*b**2 - b + 8 - 60*b**2. Let m be f(-4). What is the greatest common divisor of m and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11749 + -49019\/4. Let i = g + 524. Let p = 731\/130 + -103\/13. Find the common denominator of p and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z**2 + 21. Let r(x) = x + 16. Let s be r(-16). Does 8 divide t(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/((-60)\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/117? (a) -0.5 (b) -27.9 (c) 0.23 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 6*q + 16 = -5*m, -4*m - 36 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12334449?\nAnswer: 3, 443, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -968352 divided by -6.\nAnswer: 161392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8707, 9922, 11137, 12352?\n\"Answer: 1215*w + 7492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/(-21))\/(8\/252). Find n, given that 6*n - 8*n**2 + 19*n**2 + 21*n**2 + d*n**3 + 5*n**3 = 0.\nAnswer: -3\/4, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96133\/18942 + -5\/1353. Find the common denominator of (-150)\/32 + (-8)\/((-8)\/3) and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 35766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:03 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 20 + 28 = -5*q, -40*v = q + 121 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 44*x - 112.\nAnswer: -4*(x + 4)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136635559?\nAnswer: 269, 4225411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(-14*v**2 + 15*v**2 - 9*v**2)*(2*v - 81*v + 43*v) to the form w*v**2 + i*v + z*v**3 + y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187728487?\nAnswer: 11, 23, 137, 34267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47879*l - 47894*l = 45 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*z**2 + 105*z**2 + 151*z**2 as r + p*z + i*z**2 and give i.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/6*4\/8*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - w = -3*x - 4, -3*x - 2*w + 17 = 0. Let k be x\/(-12)*2\/3. Let t = -2\/141 - -32\/47. Which is the closest to 0.2? (a) k (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190.00132 - -190. Round r to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w. Is 8 a factor of f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.05, -1\/4, -3\/119, -2\/205, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1076454406586 from 146.\nAnswer: -1076454406440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -887.01 + 891. Let z = -4 + d. Round z to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l. Suppose -5*n + 15 + l = 0. Let o(a) = a**3 - 2*a**2 - 5*a + 2. Give o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**8\/2240 + b**7\/840 - b**6\/1440 - b**3\/6 + 3*b. Let q(i) be the second derivative of w(i). Find d, given that q(d) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmx when three letters picked without replacement from mmmxmmxxmm?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 4*c + 2*c)*(-44 - 32 - 1)*(0 + 12 - 4) in the form r + i*c and give i.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 9*q - 8*q, 6*q - h + 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 523*w. Let t(l) = 363*l**2 + 3*l. Calculate t(c(a)).\nAnswer: 99291027*a**2 + 1569*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -6, 90?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 6. Let g be k(0). Let a(f) = 3*f - 24. Let x be a(10). Find the third derivative of 3*t**6 + 11*t**2 - 6*t**6 + 0*t**x - t**g wrt t.\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84253.01 days to nanoseconds.\nAnswer: 7279460064000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*z = 4, -3*z = -7*v + 2*v - 16. Let o be v\/(-10) + (-18)\/(-10). Solve -2*n - o = -0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 3 - 9)*(2 + 3 - 6)*(-3*m + 7*m + 4*m) as x*m + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h - 5*h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + v**3 - 4*v)*(-2*v**2 - 3*v**2 + 3*v**2) - v**5 + 3*v**5 - v**5.\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4447 + 4442. Let f = -0.4 + -8.6. Which is the fourth smallest value? (a) q (b) 1\/3 (c) f (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 370800 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -26*j**2 + 13*j - 3. Let u(x) = -31*x**2 + 14*x - 3. Let i(d) = -6*s(d) + 5*u(d). Determine i(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3408232 and 112.\nAnswer: 47715248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -w + 12. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Suppose g*y + n + 0*n = 5, -6 = -2*n. Which is smaller: 2\/31 or y?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*j**4 + 96321*j**3 + 1432665*j**2 + 7143075*j + 11888250.\nAnswer: 3*(j + 5)**3*(27*j + 31702)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41233059.52 - 41233204.51999939. Let z = 3.27 - 148.27. Let a = j - z. Round a to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1110, -4031, -8896, -15711, -24482, -35215?\nAnswer: -47916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 211, 208, 205, 202, 199, 196?\n\"Answer: -3*u + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 p, and 1 c when four letters picked without replacement from wcwccwnpphc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 + 15*j**2 - 23*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 6*f + 3. Let j = -16 - -15. Let a = 3 + j. Give m(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/(-55) - (-86)\/(-10). Let b be 20\/90 - (97\/k - 1). Let m be (-3)\/b*30*216. Round m to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1326991126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172889 and -200.\nAnswer: 34577800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 45 = -o, -a = 2*a + 5*o - 55. Suppose -8 - 4 = -6*i. Suppose 5*z - 6 = i*z. Solve -a - z = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28350593 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -72*l + 69*l. What is the lowest common multiple of 26 and l*(15\/25 - (-51)\/(-10))?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -157d25?\nAnswer: -157d24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)\/o*o\/o**27)\/(o**(-1\/16)*o**12))**(-6\/13) assuming o is positive.\nAnswer: o**(2013\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/5 - 3132*h\/5 + 187331\/5.\nAnswer: (h - 3071)*(h - 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3*l - 9 + (-l + l + 2*l)*(-5 + 1 + 3))*(10 + 3 - 4).\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = q, -2*q + 5*q = -3*w + 3. Let i = -0.5 + -0.3. Let s = i + 0.6. Put q, 2, s in ascending order.\nAnswer: s, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2762*s = 5618*s - 2771*s + 799 - 4284 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 1. Let p(u) = -4*u + 6 - 3*u + u. Let l(v) = v + 2. Let d be l(-4). Let c(f) = -f**3 - 4*f**2 - 4*f - 2. Let b be c(d). Give b*p(h) - 10*r(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/6 - 15721*m + 741449523\/2 = 0. Calculate m.\nAnswer: 47163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**3 - 3*n**2 - n. Let a(i) = -i**2 + i. Calculate -a(w) - j(w).\nAnswer: 6*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 24485 = -f, -3*f = -3*x + 2507 + 15868. List the prime factors of x.\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.29 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 9*d + 0*d**2 + 7\/10*d**6 + 2 - 8\/3*d**4 + 0*d**3 + 0*d**5. Find the third derivative of z(r) wrt r.\nAnswer: 504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/21))\/((f\/((f**(-6\/13)\/f)\/f))\/f))\/((f\/(f\/((f\/f**(-6))\/f)))\/f)**0 assuming f is positive.\nAnswer: f**(-386\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15901 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**9\/r)\/r)\/r)\/r)**(-7\/4)\/((r**17*r)\/r)**32)**(-2\/41) assuming r is positive.\nAnswer: r**(2211\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 10*i - 8. Suppose -3*l = 7 + 26. Let s be t(l). Suppose -4*z = -4*k + 24, 0 = 4*k - z - 6 - 18. Solve k*o + s = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1)*(2 - 3)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-85)\/15 - -5)*-153 + -2. Calculate the highest common divisor of 150 and j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2443 and 34733527.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*j + 23*j + 5*r + 25, -5*r = -2*j + 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5492014 to the power of 1\/2, to the nearest integer?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395 is divided by 113.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*u - 3*r + 44, -2*u + 98 = r. Let j = -36 + u. Solve -3*t - 19 = a, 4*a - 5*a = 2*t + j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 4*v + 3*v)*(-15*v + 50*v + 11*v) in the form n*v + k + w*v**2 and give w.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 124308, 248619, 372930, 497241, 621552, 745863?\n\"Answer: 124311*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 minus -913233.2?\nAnswer: 913307.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8866 divided by 4.\nAnswer: -4433\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.39 (b) 18 (c) 2 (d) 6 (e) -2\/15 (f) 1\/125 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:02 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 153, 161, 181, 219, 281, 373?\n\"Answer: c**3 + c + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 l when four letters picked without replacement from lppsslpslssp?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - 3\/4)*20\/(-15) and 97\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403470 = 1189*b - 1219*b. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/8*-35)\/((21\/(-14))\/((-18)\/12)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7888)\/68 - -154) + 309\/(-8).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -4810.\nAnswer: 7\/962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from jffjjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*w - 93*w + 17102 = -86*w + 5324 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -64. Suppose 0 = -p + 5*w + i, -p = -0*w - w - 19. Suppose -n + 0*n = -p. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82706558.9999575 + -82706468. Let a = 106.107 - 15.107. Let c = a - b. What is c rounded to 6 decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 - -184. Let w be 8\/l*(-100)\/40. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2234920 and -0.04406?\nAnswer: 2234919.95594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30712, 67972, 130078, 217036, 328852?\nAnswer: 465532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**2 - 2*c**2 + 2*c**2)*((3*c + 0*c - 7*c)*(-3 - 2 + 4) + 2*c - c + c) in the form a*c**3 + x*c + d*c**2 + n and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 3*s - 3*s - 23 + 26. Let q(n) = -14*n + 8. Give 8*f(k) - 3*q(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -13*i**7\/14 - 4*i**3 + 39*i. What is the second derivative of w(h) wrt h?\nAnswer: -780*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 3. Let p(a) = -2*a**3 - 5*a**2 - a + 18. Give p(m) + 6*x(m).\nAnswer: -2*m**3 - 5*m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(27\/(-20)))\/((-18)\/27)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 20. Let v be n\/(-27) + (-521)\/(-2358). Let b = v - 895\/131. What is the common denominator of -9\/8 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -5*w**2 + 0 + 1\/6*w**6 + 37\/30*w**5 + 5*w**4 + 12*w**3 + 1\/105*w**7 + 0*w. Factor u(t).\nAnswer: 2*(t + 2)**2*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*v = 540, f - 4*v - 117 = 51. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 - -53. Let i = a - -15. Calculate the highest common divisor of 16 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. Suppose 0 = -b*k - 6 + 16. What is the third derivative of -k*w**2 + 7*w + w**5 - 7*w wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2674647 (base 9) to base 2\nAnswer: 101100110000010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-14460)\/(-450) - 5.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let j(c) = 6*c - 2. Let g(x) = -h(x) - j(x). List the prime factors of g(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**3 - 1630*x**2 - 3245*x - 1620 = 0.\nAnswer: -324, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -14108604.\nAnswer: 13\/7054302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmmmxmxm. What is prob of picking 1 m and 3 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 4*v - 16. Let c = -30 + 34. Suppose -t - 3*k + 10 = 0, 4*k - 7 = -2*t + 7. Solve c*p - 12 = -4*h, -h = v*p - p - t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16446615 to the power of 1\/2, to the nearest integer?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.67 + -0.33. What is the closest to -0.2 in -2, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3515 (base 7) to base 5\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*y - 5169 = -1531*y + 255*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -180*s**2 + 4859*s + 33. Calculate q(27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 b, and 1 u when four letters picked without replacement from {b: 2, g: 3, u: 3, r: 1, x: 6}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(10)\/sqrt(2) - (sqrt(15)\/sqrt(3) + 5)**2.\nAnswer: -28 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**7\/70 - f**5\/20 + f**2\/2 + f. Let r(g) be the first derivative of j(g). What is the third derivative of r(a) wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92.013 + 0.013. Let s = 91.92 + k. What is the second biggest value in -0.4, 1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139584 by -34896.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 12*z**2 - 17*z + 30. Let v be w(-10). Let u be 4\/(v + 4) - 48\/(-60). Determine b so that u - 3\/5*b**2 - 6\/5*b = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 281.9 - 308. Let y = 26 + t. Put y, -1, 6 in descending order.\nAnswer: 6, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(110))\/sqrt(10) + -2)*4 + ((sqrt(352) + sqrt(352)*-2)\/sqrt(8))\/(sqrt(4) + sqrt(20)\/(sqrt(15)\/sqrt(3))).\nAnswer: -9*sqrt(11)\/2 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/15126654 and -25\/121368.\nAnswer: 786586008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.9 + 9. Let r = u - 3. Suppose -d + 2*d = 0. Which is the third biggest value? (a) r (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - d + 1269, -152 = -x - 3*d + 263. Let z = 535 - x. What is the remainder when z is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 - 70 = -3*x - 12*b + 132, 4*x + 4*b = 52 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 3*s**2 - s - 1. Let v be d(-2). Let q(o) = -o. Let f(b) = -2*b - 2. Let m(t) = f(t) + 4*q(t). Is m(v) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -309?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 239394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10392.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + q + 11, -17*j + q + 5 = -19*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2))**(-10)\/(c**(1\/4))**(-16\/7))**22 assuming c is positive.\nAnswer: c**(3168\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3\/4, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - p - 17 = 0, 2*p + 21 = y - 3*p. Let b(t) = t**2 + 5*t + 1. Let o be b(y). Let c(r) = r**3 + 4*r**2 + 3. List the prime factors of c(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2306\/5 + 4533\/10. Calculate the common denominator of -107\/18 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 58.1 (b) 1\/5 (c) 0.3 (d) 11 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 397039021, 397039022, 397039023?\n\"Answer: y + 397039020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 5*b**2\/2 + 57*b - 9. Let q be d(-7). What is the highest common divisor of q and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 29*b + 9 + 3*b**2 + 16*b + 53*b - 64*b + 1. What is q(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 71*n - 9792. Calculate the lowest common multiple of n and 128.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 7. Let y be m(5). Let r be y\/7 - 36\/(-21). Suppose -3*d + 40 = -r*l, -2*l + 6*l = -20. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6640 - -23465. List the prime factors of r.\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**2*q**2 + 137*l**2*q - 480*l*q**2 wrt l.\nAnswer: 6*q**2 + 274*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 + 22536*y - 63483912 = 0 for y.\nAnswer: 5634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f**2 + f - 2. Give s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-2)\/6 - -1) - (-4551)\/(-22755)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j - 219 + 87 = 0. Let v be 16\/6 + 1\/(-1). Which is the closest to j? (a) -5 (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41889 is divided by 148.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -467.693 - -468. Let h = -0.107 + j. What is the closest to h in 11, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-11*z + 11*z + 5*z**4) + z**4 - 2 + 2 + (-2*z**2 + 2*z**2 + 2*z**2)*(-4*z**2 + 4*z**2 - z**2) - 2*z**4 + 0*z + 0*z.\nAnswer: -13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + y + (4 - 1 - 1)*(-2*y + y + 2*y) + 3*y + 4*y + 2*y - 29 + 11*y + 29.\nAnswer: 23*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/60 + 2*i**5\/15 + 23*i**2. Let z be y(-4). Which is bigger: z or -1\/48?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*(14\/(-112) - 6\/80). Let h(y) = -y**2 + 6*y - 10. Give h(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + v + 2*v**3 - 4*v**2 + v**2 + 2*v. Let y be o(2). Solve 3*f + 0*f = 5*p - 2, -f + y = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 0.8132, 0.1, 0.3, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(4 + 0 - 2)*(506 - 322 + 1536)*(4 - q - 4).\nAnswer: -3440*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r + 44. Suppose -168*n + 190*n - 110 = 0. What is q(n)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -102041?\nAnswer: 102113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(432) + 0 + 5 - (sqrt(297)*2 + sqrt(33) - sqrt(33))\/(-1*sqrt(1584) - sqrt(1584))).\nAnswer: 9 + 49*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*c - 1198 = -3*c - 1486. Let q be 4*(1\/2 - 0). Let z be 4*((-2)\/q - 1). Sort 0, c, z.\nAnswer: z, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2771728541 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 51*q - 132. Is 17 a factor of l(43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -361903.33 - -357593. Let t = a + 4345. Let m = 35 - t. What is m rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 767*p - 762*p + 5 = 0, 5*a - 3*p + 27 = -13*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3355012141555\/1853917037028 + 1\/2135849121. Let s = -1\/6076 - r. Let d = 15\/7 - s. Which is the nearest to -2? (a) 4 (b) -7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 107, 157, 247, 389, 595, 877, 1247?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(-2*v + 7*v - 2*v) - v + 0*v + 3*v + (-3*v + 5*v - v)*(3 - 2 - 3) - 1 + 1 + v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -453152 divided by -34.\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-4)\/(-8)*0. Suppose i = 4*k + 4, -55 = -2*r - 4*k - 3. Suppose g - r = 19. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -940 + 1270 = 10*g. Solve -13*b - g = 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 6*b**2 - 3*b - 13. Let m be s(-6). Suppose -2*z - m*f = -14 - 29, 15 = 5*f. Let o(r) = -r + 19. Let u be o(z). Solve u = 5*i - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5\/4 (b) 0.2 (c) 0.3 (d) 3.69 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 60 = -8*r. Let x be r\/(3\/3 - 0). Let o be 36\/(-15)*(-5)\/2. What is the highest common factor of o and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2377, -2327, -2265, -2185, -2081?\n\"Answer: z**3 + 43*z - 2421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -7*q**4\/6 - 3*q. Let w(t) = -t**2. Give w(d(p)).\nAnswer: -196*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 2*x + 1. Let d be y(2). Let t = 5 + 3. Let o = d - t. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {p: 13, h: 3}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 11:02 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -16222667001.\nAnswer: -16222667001.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4444*g**2 + g + 6*g**3 - 3 + g**3 - 2*g + 4443*g**2 - 3*g**3 to p*g + w + b*g**2 + m*g**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 11:16 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69916)\/133)\/22 - -24.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 6*a**2 + 5*a + 4. Let w be u(-5). Let y = -5 - -11. Solve -2*k = w*o - 18, -k + y = 5*o - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, b: 5, m: 2, c: 4, e: 5}. Give prob of picking 1 b and 1 p.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 6 - -7) + 10 + -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1048\/(-14))\/((-20)\/70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18109*u + 199 = -17942*u + 32 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from {u: 3, n: 2, m: 1, s: 1, r: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + l = 7*k - 314, 5*l + 322 = 4*k. Suppose 8246 = -k*w + 92*w. List the prime factors of w.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**5\/2 + 141*m**4 - 6231*m**3\/2 + 5220*m**2 + 209358*m + 200880 = 0.\nAnswer: -6, -1, 15, 24, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1024969555 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107538162 to the nearest integer?\nAnswer: 10370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16271664*-4\nAnswer: 65086656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 11070 to the nearest one hundred.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-9)*(-9)\/6. Suppose -x - 1 = f*g, 2*g + 2 = -2*x - 2*g. Let k be (0 - -2) + (-220)\/99. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -16, -0.2, 0.1, 0.03 in descending order.\nAnswer: 0.5, 0.1, 0.03, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(2*i + 6*i - 2*i)*(11 + i - 11) in the form p*i + h*i**2 + t and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -31 (b) -0.4 (c) 2 (d) 5 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-33 + 83)*(-14)\/(-4) and 25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**5 - 25954*z**3 - 33838*z**2 wrt z.\nAnswer: 120*z**2 - 155724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5\/4 - 14*x**4 - 23747*x**3\/4 + 207309*x**2\/2 - 97704*x = 0.\nAnswer: -138, 0, 1, 16, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -7, -8, 1\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3662 and 2?\nAnswer: 3662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -101212?\nAnswer: 101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2048216*i**3 + 1024185*i**3 + 1024104*i**3.\nAnswer: 73*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-712)\/(-178) + 1\/(-1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/16, -1, -0.02, -0.6, 4016 in increasing order.\nAnswer: -1, -0.6, -5\/16, -0.02, 4016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, -50, -78, -110, -146, -186?\n\"Answer: -2*c**2 - 18*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 938 or 943?\nAnswer: 943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 0.010801084.\nAnswer: -0.310801084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 10:37 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4981 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006303193 rounded to 6 decimal places?\nAnswer: -0.006303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 3*y**2 - 14*y - 42. Let u be z(-3). Suppose h = -2*l - 178 + 2715, h - 3*l - 2537 = u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 356, 364, 372, 380, 388, 396?\n\"Answer: 8*c + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u + 67. Let p be m(23). Suppose -2*k = -4*d - 296 - 34, 0 = -k + 5*d + p. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from inniwnimnnininiiqiii?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32 - ((-8330)\/4998)\/((-10)\/181)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10250 + 10260 + 10263 - 422*v - 30773 - 11*v.\nAnswer: -433*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -102, -13, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 365087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -84*o**3 - 2*o**2 - o + 1. Give m(-1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**3*v + 217*o**3 - 5*o**2*v - o - 78*v + 1 wrt o.\nAnswer: -6*v + 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**4*h**2 - 6017*c**3*h**2 + 7804*h**2 + 2*h - 2 wrt c?\nAnswer: 12*c**3*h**2 - 18051*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/((-26)\/(-6) + -4). Let h = 5.12 + -0.12. Which is the second biggest value? (a) l (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1700) + -3)*-1)**2.\nAnswer: -80*sqrt(17) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -4. Let q = -3344995\/124 + 26976. Let i = q - -1\/62. Sort i, 0.5, l in decreasing order.\nAnswer: l, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569467982, -569467979, -569467974, -569467967, -569467958, -569467947?\nAnswer: -569467934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*r + 329, 3*s = -0*s - r + 196. What is the remainder when s is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3673 (base 9) to base 10.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -38, 0.4, 5, -2\/27 in increasing order.\nAnswer: -38, -2\/27, 0.4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.8 + -241.2. Is g not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 16) to base 11\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*g + 3 = -2, 0 = g + 4. Suppose 11*r - 340 = r. Calculate the remainder when r is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 690 - 63. What is the highest common factor of 38 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3256, 6736, 10440, 14368?\n\"Answer: 112*i**2 + 3144*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -93\/1144, -2, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -50*s - 479. Calculate the remainder when q(-13) is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-84)\/70 + (-252)\/(-10). Solve 4*w + 4*n = -0*w, 0 = 5*w - 3*n - d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-463*v**2 - 23000*v + 23000*v)*((-v + 2*v + v)*(2*v - v - 3*v) + 27*v - 27*v + 7*v**2).\nAnswer: -1389*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**3)\/((h**6*h)\/h))\/(h\/h**(4\/3)*h\/(h**(-4\/9)*h)))**44 assuming h is positive.\nAnswer: h**(-3212\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3370 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 9 + 23. Suppose -4*m + 61 = 4*t - y, 5*t = 3*m + 125. Find the third derivative of -20*i**6 + 4*i**2 + 0*i**2 + t*i**6 wrt i.\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/7 and -89\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1099096611 to 3 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62662, 62657, 62652, 62647?\nAnswer: 62642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*n**4 - 50745*n**3 - 2317731 wrt n.\nAnswer: -76*n**3 - 152235*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/3 - 2758*j**4\/3 - 2771958*j**3 + 8324130*j**2 = 0.\nAnswer: -1465, 0, 3, 2841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 4\/43 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 114*y**3\/5 - 6906*y**2 + 2492508*y\/5 + 262752\/5 = 0. What is y?\nAnswer: -2\/19, 119, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(-4))**12 assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3287 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*n = 5*n + 11, -3*n = -4*u + 29. Suppose u*g = -q + 2*q + 570, 0 = 4*g + 8. What is the remainder when (-4)\/5*q\/8 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-56)*6*6\/3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1304.1 + 1304. Which is the nearest to l? (a) -9 (b) 4 (c) -1 (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1464, 0.2, 14.4 in decreasing order.\nAnswer: 14.4, 0.2, -1464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.94 - 0.06. Let h = 193592\/27 + -7170. Which is the third biggest value? (a) m (b) h (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 4*t**2 - 4*t - 7. Let m = -15 - -28. Suppose -m = -5*l + 12. What is i(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 145. Let z = q + 106. What is the smallest common multiple of z and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 8*o + 332 = c, 0 = 3*c + o - 968. Calculate the greatest common divisor of 144 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8211 + 8210. Let r(k) = -k + 9. Suppose -18 = -4*y + y. Let i be r(y). What is the nearest to -2 in g, 0.04, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3277 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 u when four letters picked without replacement from {p: 6, g: 6, u: 3, v: 4}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -240631.4 - 64.227\nAnswer: -240695.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -14. Solve 3*q = -k*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 186499 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -155.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60 - 199*d - 71 + 9)*(-1 - 1 + 3)*(-2*d - 2*d + 2*d)*(-2*d**2 - 2*d + 2*d) to the form v*d**2 + q*d**3 + w*d + l + j*d**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1) - 2*55\/50. Which is the nearest to s? (a) -4 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 1119 = 799 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let h(a) = 10*a - 634605. Determine h(x(r)).\nAnswer: -10*r - 634605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by -78\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1975 (b) -4\/67 (c) -0.2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 0 - (34 + 0 - 1 - 21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 668025 and 1395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 139. What is the highest common divisor of j and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2043210524 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29 + (0 + -1)\/(-1). Let j(h) = h**2 - 5*h - 9. Let i be j(7). Suppose -i*r + 30 = -v. Solve 2*o - 4*y + 14 = 0, 4*o + 3*y - 39 = -r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-140)\/44 - (-6)\/2)\/(-1). Which is the third smallest value? (a) -1\/4 (b) -1\/20 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**3 + 5*p - 5*p**3 + 5*p**2 - p**3 - 3*p**3. Let h(z) = 2*z - 3. Let d be h(4). Let o(r) = r**3 - 4*r**2 - 4*r. Calculate d*o(n) + 4*c(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -7*s**6\/12 - s**5\/30 + 15*s**3\/2 - 8*s**2. Find the third derivative of g(m) wrt m.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1586644.\nAnswer: 2, 17, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - 10 + 0)*(-1 + 8 + 1)*(0*f**3 + 3*f**3 - 4*f**3) to the form j*f + y*f**3 + z + o*f**2 and give y.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/120 - w**5\/5 + w**4\/24 + 2*w**3 + 30*w**2. Let s be p(-12). Solve s*x + h - 9 = -2*x, 0 = -3*h - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dly when three letters picked without replacement from {d: 5, l: 4, y: 4, e: 3, r: 3}?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 6*y**2 - 6*y - 7. Let h be x(7). Suppose o - 22 + 3 = h. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkn when four letters picked without replacement from vknnnkkvn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805 divided by 361?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 n when four letters picked without replacement from nanqqananaq?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 14. Let n = j + 17. Suppose -o = -0*v + 3*v - 330, 2*o = -5*v + 550. Calculate the greatest common divisor of n and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 l when three letters picked without replacement from {z: 3, s: 3, l: 13}?\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (2 - 0) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90661 + -88501. Factor 800 - n*h + 1944*h**2 - 2916\/5*h**3.\nAnswer: -4*(9*h - 10)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulrkkukvkuukiivrk. Give prob of sequence kkl.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-2))\/g*g*g)\/g)\/(g*(g\/((g\/(g**(1\/2)*g))\/g))\/g) assuming g is positive.\nAnswer: sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119\/240 - -5\/48. Are t and 6.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -836*g**3 - 11*g**2 + 12. Let d(t) = -835*t**3 - 13*t**2 + 14. Determine 6*d(h) - 7*z(h).\nAnswer: 842*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105288549?\nAnswer: 3, 23, 1525921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00086596 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348929?\nAnswer: 7, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31206 by 363.\nAnswer: -10402\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:36 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 11*p = 26, 2*p = -4*b + 26 - 38 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 168 + 159 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**4 - x**4 + 18*x**4)*(-14 - 11 - 30).\nAnswer: -660*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6 - -5.6. Let a = 1230 + -1227. Sort 0.1, a, t, 1\/6 in descending order.\nAnswer: a, 1\/6, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2651311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, b: 7, c: 1, f: 1}. What is prob of sequence qf?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**3 + 85*g**2 + 23*g + 36. Calculate a(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -3*a**2 + 2\/105*a**7 - 1\/12*a**5 + 0 + 0*a**3 + 0*a + 0*a**4 + 0*a**6. What is the third derivative of g(s) wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 9 + 12 = -0*r, -19*k + 22*k + 5*r + 30 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 2, j: 1, u: 1}. Give prob of sequence jcu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30505 - 16194. Does 71 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 11, 23, 2, 8 in increasing order.\nAnswer: -67, 2, 8, 11, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 2*n**2 + 1. Let l be v(1). Suppose -5*u + 499 - 19 = 0. Suppose -7*i = -15*i + u. Solve -4*h + i = l, -3*o + 5*h - 8 = 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1300) + 0) - (sqrt(1300) + -2 + 2 + sqrt(1300)))**2.\nAnswer: 63700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -5\/938?\nAnswer: -5\/938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4190 + -0.3?\nAnswer: 4189.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 24. What is the tens digit of 3\/2*-2 + k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 21482638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -19*p**2 + 35*p - 35. Let n(f) = -10*f**2 + 15*f - 15. Let t(r) = 7*n(r) - 3*y(r). Let o(b) = 25*b**2 + 7*b. Determine o(t(m)).\nAnswer: 4225*m**4 - 91*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13)*3)**2 + 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 16*f - 5. Let a(w) = -40*w + 12. Give -5*a(c) - 12*d(c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0724 - -2.4537916?\nAnswer: -4.6186084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/18 (b) -1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = u - 2*u. What is the remainder when u is divided by (672\/392)\/(2\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3751.9031 to the nearest integer.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -12*i - 53. Let v(g) = -13*g - 53. Let u(x) = 7*r(x) - 6*v(x). Let c be u(-10). Suppose -2*h + c*h - 2540 = 0. What is h rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 times -14?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (75\/(-6))\/(-5)*(-51)\/(2550\/5560). Let v(b) = -34*b**3 - 3*b**2 + 4*b - 3. Let z be v(2). Is z < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 15) in base 9?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*c + 12 = 0, 5 - 1 = 3*j - c. Suppose -4 - j = -s. Let m(x) = -x**2 + 7*x - 4. Let a be m(s). Solve -2*i = d - a*d - 4, 4*d = 4*i - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1446 smaller than -1460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*l + 80, l + 3 = -1. Let s = -17 + u. Let c = 2 - s. Sort c, -3, -4.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = 3*u + 3*s, 4*u - 15 = 3*s. Let l(t) = t**2 - 7*t + 8. Let i be l(7). Which is the nearest to u? (a) i (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*7\/49*7\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 24. Let d be (v\/51)\/(2\/6). Suppose 4*r = -j + 4 + 1, -j + 5 = 0. What is the fourth biggest value in 0.5, r, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 290 = 174 - 58. Calculate the remainder when 70 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47710 - -0.49?\nAnswer: -47709.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2 - 8*i + 0 + i**2 - 6. Let p be j(8). What is the tens digit of (p\/8)\/((-5)\/830)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -3*u + 2*a, 0 = 3*u + 2*a - 16. Is 1426\/18 - u\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7753 plus -0.4015?\nAnswer: 7752.5985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7392 and 896?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64075 is divided by 120?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4115 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(4*1\/56). Let f = v - -12. Let n = -3 + 2.9. Which is the second smallest value? (a) f (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 11 = -2*g, -3*g = 2*a - 16 + 4. Let i(d) = d**2 + d - 6. Let x be i(-3). Differentiate x*f**3 + 3 - 4*f**3 + f**a - 1 with respect to f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 124440, 248880, 373318, 497754?\n\"Answer: -k**2 + 124443*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 31 - 1 = 0. Suppose p*l - 344 = 14*l. Is l a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4889, -9831, -14773?\n\"Answer: -4942*u + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and -2338.12581792.\nAnswer: -2324.12581792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1448 (b) 0.5 (c) -0.3 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -4482 (c) -2 (d) 146\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(832) + 5 - sqrt(832))**2 - (-6*(sqrt(117)*1)**2 + sqrt(117) - sqrt(117)).\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -14. Suppose 4*u - 2*g - 208 - 512 = 0, 3*g + 360 = w*u. Suppose -8*c - u = -11*c. Round c to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 6*t**2 + 2*t + 3. Let w(a) = 5*a**2 - 12. Let d be -4*(-7)\/(-84)*9\/(-1). Let p be w(d). Let l = p - 28. Calculate f(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 429 = -5*y + 484, -5*w - 2*y = -5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 536 + -521 + 0 + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from wwpqqqwgwcwwppwq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 17*i + 46. Calculate o(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-77*(-19)\/798?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2. Let h(f) be the third derivative of -f**8\/10080 + f**5\/30 - 3*f**2. Let q(u) be the third derivative of h(u). What is t(q(d))?\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -58 + (0 - -3). Let k be b\/255 - (102\/(-5))\/2. What is the units digit of -3*1*(-3*k + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, p: 2, y: 3, a: 4}. What is prob of sequence aypy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y. Let n be w(-3). Suppose -4*v = -2*f + 32, 4*f + 5*v - n - 19 = 0. Calculate the smallest common multiple of 4 and (f\/10)\/(4\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(5))*-6.\nAnswer: -6*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -321393 times -2?\nAnswer: 642786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1042360 and 86680.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f - 2*f - 5*f + (-2*f - 2*f + 7*f)*(-2 + 1 + 2) + (-f + f - 2*f)*(-330 - 201 + 240) + 0*f + 2 + 0 - 2*f to t*f + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**7\/280 - 29*r**4\/24 + 2*r**3 + 43*r**2. Let h(y) be the first derivative of v(y). Differentiate h(n) with respect to n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.61 - -5.21. Which is the smallest value? (a) -5 (b) n (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 474)*(-4 + (-57)\/(-12))?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 75 + 26*k + 31 in the form o + u*k and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11672201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9620785 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*3\/(-3*2). Let a(y) = -c - 2*y**3 + y - y - 4*y**3. Let z(j) = 2*j - 7. Let b be z(3). Determine a(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3502, -6937, -10374, -13813, -17254, -20697?\n\"Answer: -y**2 - 3432*y - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -585.\nAnswer: -584.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*m = 73*m - 5. Solve -m = 5*j + 2*d + 21, 4*j - d + 13 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Suppose 5*p = -10, 24 = 4*h + 2*p - 4*p. Suppose 4*r - 24 = t - 2*t, r - h*t - 27 = 0. What is the greatest common factor of v and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892032537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 444405 + 20?\nAnswer: 444425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -49 - (2 - 1\/1). Let f = i - -152\/3. Sort f, -4, 2 in increasing order.\nAnswer: -4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 19*n - 53. Suppose 0 = y + o - 7, -3*o + 28 = 4*y - 4. Let s be x(y). Do s and -87 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-28))\/((-12)\/7)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 4*i + 1. Let n(s) = s. Give -3*n(j) + u(j).\nAnswer: j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2352 and 727932.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 3*r**2 + 548*r - 1088. Calculate g(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1922 and 2275307?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10 - 268*r + 4 - 264*r + 531*r. Let p(h) be the first derivative of h**2\/2 - 3. Give p(o(l)).\nAnswer: -l + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 231 = -351. Calculate the common denominator of (0 - c\/20)*-1 and ((-2)\/12)\/(6*(-4)\/496).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -22*g - 77 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - w - 1)*(-4*w + 2*w**2 + 4*w) - 29 + 29 - 23*w**3 to k + s*w**3 + y*w + a*w**2 and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 11700 = -5*z. What is z rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26048*l - 1757434 - 1012374 = -8720 for l.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 454 + 242. Is 33 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 13*q + 2678. Let v = -192 + q. Solve -v*t = -9*t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/(-165)*18\/(-12)*-5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 - -147. Suppose -10*i + a*i = -624. What is the highest common factor of i and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -31*x + 30*x + 1, 0 = 2*x + 5*g - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 4*c**2 - 4*c + 2. Let p(m) = 7*m - 9. Let f = 30 - 17. Let k(g) = 15*g - 19. Let d(s) = f*p(s) - 6*k(s). Let x be d(6). Determine w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -85, -159, -265, -403?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.4991241 rounded to 3 decimal places?\nAnswer: -11.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 7) to base 2.\nAnswer: 1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6*y + k + 7 = y, -5*k - 390 = 137*y - 51*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-201)\/39 - (-2)\/13. Let y = s + 42. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 30995*k - 31000.\nAnswer: 5*(k - 6200)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 29*g - 175. What is o(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 9*q**2 + 5*q - 4. Let p be k(-10). Suppose -5*d - 2 = a - 25, 2*a + 2*d - p = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 2 - (-4 + 24 - 18). Sort x, -16, 63.\nAnswer: -16, x, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 6)*(9 + -8). What is the third derivative of -h**4 - 12*h**2 + 23*h**2 + 9*h**k - 12*h**2 wrt h?\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - 9*x**4 + (2*x**3 + 1 - 1)*(x + 0*x - 3*x) - x**4 + 1 - 1 + (2 - x**2 - 2)*(3*x**2 - x**2 - 4*x**2).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/252 + i**5\/4 - 37*i**4\/24 + 21*i**2. Let k(p) be the second derivative of l(p). Differentiate k(m) with respect to m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 1 - 19. Let s = 70 + -34. Let q be (s\/(-45))\/(2\/c). Sort 3, 0, q in ascending order.\nAnswer: q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -577597 times 4\nAnswer: -2310388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - u**2 - u. Let t be n(2). Suppose 0 = t*f + 4 - 10. Let d be 80\/(-640) - 26\/(-16). Is d not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*t = 80, 3*f = 8*t - 3*t - 100. Suppose -2\/7*y**2 + f - 6\/7*y = 0. What is y?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -415\/312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/(-2))\/(0 - (-5)\/(-40)). What is the greatest common divisor of 64 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r - 8*r - 16 + r + 2. What is v(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/4 - 4*q**3 + 7*q**2 + 37*q - 28. Calculate the remainder when 107 is divided by c(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**5\/20 - 11*s**4\/12 + 5*s**3\/3 - 5*s. Let x be q(10). Suppose i + i - 374 = x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/(-14) - -2*(-15)\/((-735)\/(-14)). Let d be 1\/((-1)\/(-84)) + 1. Suppose -f*q + d = 21. Solve 4*h - 2*k + 6*k - q = 0, -3*k - 13 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 14. Let c = 9 - d. Do 0 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697.075699 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 318 and 6678.\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1 - 5) - 8. What is the tens digit of (3 + -75)\/f + 143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -264 - -305. Let o = 34 - -8. Let q = o - n. Which is the nearest to q? (a) -1 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 91165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 2:49 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y**(-2)*y))\/y*y**2)\/((y*y\/(y*y**(-2\/13))*y*y)\/(y*(y\/(y**(-11\/4)\/y*y)*y)\/y*y)) assuming y is positive.\nAnswer: y**(343\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53913*o + 14994 = -54746*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by (40775\/(-560) - 6\/32)\/(-2 + 1).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 + 487 = 20*d. What is the greatest common divisor of d and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b - 17?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -432\/7 + 354\/7*b**2 + 40\/7*b**3 - 6\/7*b**4 + 396\/7*b = 0.\nAnswer: -3, 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/13 - 102868*x**2\/13 + 205742*x\/13 - 102872\/13 = 0 for x.\nAnswer: -51436, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1795 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + l**2 + 2*l + 7. Let a be b(0). Suppose w + 6 = 4*t, 2*w - 3*t = -3*w + 4. Solve -y - 5 = -a*z + w*z, 0 = 5*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -55. What is the first derivative of 46 - 7*a**3 + 11*a**3 - 4*a**3 - 17*a**b wrt a?\nAnswer: -68*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9273, -18565, -27863, -37173, -46501, -55853, -65235?\n\"Answer: -j**3 + 3*j**2 - 9294*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:51 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/9 - 82*y**3\/3 - 780*y**2 = 0.\nAnswer: -78, -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -10, -38, -84, -154, -254, -390?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4533358?\nAnswer: 2, 2266679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/4)\/(3\/4854) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 195*v**2 - 194*v**2 + v + 0*v + (3 + 2*v - 3)*(4*v - 4*v + v) - 4 + 17*v**2 + 4.\nAnswer: 20*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 56. What is the remainder when 25 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -3960c85?\nAnswer: -3960c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10479674*t - 16430028 wrt t.\nAnswer: -10479674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -120.43. What is k rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 7:11 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 7:17 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 31*z + 77922 = 2*z. What is the greatest common factor of z and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 + 492*k - 219. What is t(98)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907 - 288 = -39*y + 278*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 257 - 25 = y, 4*d + 681 = 3*y. What is the remainder when 2228 is divided by y?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 0.7649786?\nAnswer: -0.1649786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-20)*(-18 + 12). What is the nearest to -1\/76 in l, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 272053186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3952 is divided by 438.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*h = -2*c + 2, 0 = -4*c - h - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5301*l**2 - 4*l - 84. Let z(c) = 7018525*c**2 + 5297*c + 111237. Let j(p) = 5297*a(p) + 4*z(p). Let n(q) = 2*q. Calculate j(n(g)).\nAnswer: -21188*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**6\/120 - w**5\/10 - w**4\/24 + w**3\/3 + 2*w**2. Suppose -4*l - 30 = l. What is the units digit of i(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3571*q + 4102. Let g(y) = 14298*y - 16410. Let h(d) = 3*g(d) + 11*z(d). Differentiate h(x) wrt x.\nAnswer: 3613","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531458449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.32 and 263.\nAnswer: 258.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 - 138 = -4*p. Let v = 438 + -427. Suppose -v*g + 8*g = -p. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -47. Solve o - 5*a = -6, v*a - 5*a + 4 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4722 divided by 15?\nAnswer: 1574\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*a**2 - 92*a + 431*a**2 + 91*a.\nAnswer: 724*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 13*l**2. Let c(q) = 7*q + 1229453. Calculate c(m(j)).\nAnswer: 91*j**2 + 1229453","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1.7, -1, 15.2, -14\/9, 1.\nAnswer: -14\/9, -1, -0.4, 1, 1.7, 15.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 103*z**2 + 5*z + 4. Let k be d(-3). Suppose 0 = 4*m + 2*p - 566, -5*m + k - 211 = 2*p. Suppose -m*l = -134*l - 1405. Is l a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163328169 is divided by 293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07711489 and 1.\nAnswer: -0.07711489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/120 + 19*j**5\/30 + 2*j**4 - 11*j**3\/6 + 243*j**2. Let u be i(39). Calculate the greatest common divisor of u and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.3, -2\/13, 670, 2\/9, 2 in ascending order.\nAnswer: -0.3, -2\/13, 2\/9, 0.3, 2, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -2*k**2 - 10*k - 14. Let x be l(-5). Suppose 5*w = 3*w + x. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.49 - 0.2?\nAnswer: 15.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 90*l - 565. Let w be f(7). Solve -15*p + 7 = -n - 17*p, 5*p = -4*n - w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10104\/5 - -2030. Let q be 3\/(-9) - (-46)\/30. Solve a*v**2 + 24\/5*v**3 - q*v - 4\/5 = 0.\nAnswer: -2, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + (-2 - -11) - 18?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 9*a**2 - 11*a. Determine j(-6).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3118886 <= -3118867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-4) - (164 + -137)) + -60.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaal. What is prob of sequence aall?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/60 + 3*c**4\/8 + 41*c**3\/6 - 76*c**2. Calculate the remainder when f(11) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29417407 is divided by 47371.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - 6*f**2 - 6*f)*(-4*f**2 + 4*f**2 + 2*f**2) + f**4 + 0*f**4 + 0*f**4 + (-3*f**3 + 0*f**3 + 4*f**3)*(3*f - 6*f + 4*f) + 2*f**4 - 3*f + 3*f.\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -35. Let g(c) = c - 3. Let y be g(5). Sort y, i, 3, 5.\nAnswer: i, y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4201 and 29.\nAnswer: 121829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -5)*(-1)\/2. Let s(x) = -4*x**3 - 2*x**2 + 1. Let c be s(y). Let w = 22 - c. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.97656t to micrograms.\nAnswer: 1976560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8236579, 16473197, 24709815?\nAnswer: 32946433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**4 - 286*b**3 - 4891*b**2 - 4614*b. Let r(s) = s**4 - 144*s**3 - 2445*s**2 - 2306*s. Let f(c) = 10*r(c) - 6*z(c). Factor f(o).\nAnswer: 4*o*(o + 1)*(o + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 20577*i**3 - 20*i**2 - 4*i + 13. Let b be c(-10). Let q = -13928947 - b. Round q to the nearest 100000.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203 + -183. Suppose -y*p + 357 = p. What is the remainder when (-1 + 12)*6\/2 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4118.3 - -4118. Sort g, -55, 0.5, 1\/5, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, 1\/5, g, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-82)\/88 + 6\/33. Let y = -276.83 + 279.83. Which is the second biggest value? (a) y (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2300973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 380041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**2 + 2 - 3*d + 2*d + d**3 - d**2. Suppose 6 - 1 = -r. Is q(r) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 1176, 2223, 3238, 4221, 5172, 6091?\nAnswer: 6978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/((-4725)\/(-30)) + (-214)\/10.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 6*v - 174 = 0. Let w = -43 + v. Let l = -779\/58 - 2\/29. Is w <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3)*2 + 3 + 3.\nAnswer: 6 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -7 + -8 + -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 163*q**2 - 2*q**4 + 2*q**3 - 8*q**4 + 9*q**4 as h*q**3 + m*q**4 + d*q**2 + l + t*q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 930 (base 12) to base 7\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 40 + -35 - -57?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14946287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 152 * -109.262\nAnswer: -16607.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*o - 121*o + 266 = 0. Solve 18*y - o*y = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2) - (-1)\/(-2). Suppose 9746 + 17867 = 53*i. Is -6 + 7 + o - (0 - i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 3*b + 3*b - 3*b + 3*b + 2*b**2 + (3*b - 6*b + 4*b)*(b + 2*b - b) + (35*b + 27*b - b)*(2*b + 2*b - 3*b).\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14303\/3 + 4767. Suppose -3*d - 4*h = -35, 3*d - h - 31 + 6 = 0. Which is the closest to v? (a) 3 (b) d (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.3 (c) -2\/11 (d) -1 (e) -9 (f) 477130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.941 * -1\nAnswer: -0.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/209 - 464\/4807. What is the nearest to 0.3 in -0.2, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -6. Let g = 4.91 + 0.09. Suppose 9 = -b + 2*a, 6*a = -5*b + 3*a - 19. Sort j, b, g in descending order.\nAnswer: g, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 + 55*z**2 - 53*z - 11. Let m(n) = 3*n**3 + 40*n**2 - 35*n - 7. Let p(q) = 5*f(q) - 8*m(q). What is the second derivative of p(l) wrt l?\nAnswer: 6*l - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212 - 117. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4684962213, 4684962214, 4684962215, 4684962216?\nAnswer: 4684962217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30441045 to 4 dps.\nAnswer: 0.3044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.6 - -31.6. Let z = -0.0381 + 0.3381. Sort h, 4\/9, z.\nAnswer: h, z, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Let h(d) = -d + 0 + 0 + d**2. Let y(c) = 4*h(c) + 2*l(c). Let t(x) = x - 1. Let n(p) = 1. Let b(v) = -n(v) - t(v). Calculate b(y(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 72*x**2 - 4*x - 3. Let o(z) = -360*z**2 + 21*z + 15. Let w(l) = -11*b(l) - 2*o(l). Let i be w(-1). Let v = i - -77. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -63*x. Let u be b(1). Suppose 5*r - 120 = -10. What is the least common multiple of r and (-594)\/u + 8\/14?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 690030 by -3690.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 794570598, 794570599, 794570600?\n\"Answer: i + 794570597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = z + 5*l + 14, -l = -2*z. List the prime factors of -2 - (1 + z + -13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.012 (b) -5 (c) 2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2)\/j)\/(j*j**(-2\/15)*j))\/(j**(1\/4))**(-29))\/((j**(-1\/4))**(-39)\/((((j*j*j**2)\/j)\/j)\/(j*(j*j\/j**6*j)\/j))) assuming j is positive.\nAnswer: j**(-71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36112715 and 7222543?\nAnswer: 36112715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/8 - 5*c**4\/4 - 3*c**3\/4 + 85*c**2\/2 - 1075*c\/8 + 375\/4.\nAnswer: (c - 5)**3*(c - 1)*(c + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -16. Suppose l + 3 - k = 0. Let t(z) = 3*z - 2. Is 13 a factor of t(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 807541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 284 in 15\/7, -5, -1, -0.3?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*m = 27, 0 = 4*f + m + 2*m - 85. Suppose -4*y - 5*j = -28, 2*j - 8 = 4*j. Calculate the remainder when f is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**2*i**3*k**2 - 1149*a**2*i**2 - 183*a**2*i*k**3 + 5*a*i**2*k**3 + 142980*i**3*k**3 wrt i?\nAnswer: -30*a**2*k**2 + 857880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, 526, 2268, 5724, 11482?\nAnswer: 20130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65042 is divided by 1066?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9 + 18 - 12 - k + 5*k. Let r(v) = 1425 + v**2 - 1425. Determine r(l(c)).\nAnswer: 16*c**2 - 24*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/110 and 59\/2420?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41075, -41069, -41063?\n\"Answer: 6*q - 41081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 45 + 1 - (-9 - -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18060\/86)\/30*18\/(-21)*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 15. Let d(z) = z**3 - z**2 - z + 1. What is the units digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -16096?\nAnswer: 16098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - g + 20. Suppose 4*b = g + 8. Suppose -24 = -q - b*q. Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4823672 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**3*p + i**2*p*q + 1323*i*q + 2*p*q - 81*p wrt i?\nAnswer: 3*i**2*p + 2*i*p*q + 1323*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11728789, -23457580, -35186371, -46915162, -58643953?\nAnswer: -70372744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a**2 - 1298270*a + 164900?\nAnswer: 8*a - 1298270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2736)*2 + (sqrt(3078) - sqrt(3078)*2)\/sqrt(2).\nAnswer: -57*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1243 and 19264773.\nAnswer: 19266016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*l + 9018905 = 899144. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - (-2)\/(-5). Which is the closest to s? (a) 4\/7 (b) 2\/13 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 409 + -245. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 3*x**2 + 2*x**2 + 2 - 2*x**2 - 2 + (4 + 0 - 2)*(-x**2 - 1 + 1) - 2*x + 4 + x**2 - 4.\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*o**4 + 11*b*o**3 + 2*b*o**2 + 288*b + 445287*o**4 - 387817*o**2 wrt o.\nAnswer: 24*b*o + 66*b + 10686888*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219 + -220.94. Let m = b + 1.861. Round m to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37805*u + 12605*u + 12563*u + 12570*u.\nAnswer: -67*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -p + 2, -582*p - 8 = -586*p - q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 149, 299, 449, 599, 749, 899?\n\"Answer: 150*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 81 - 647 = 0. Suppose 2 = 2*i - 6. Calculate the remainder when p is divided by -6*((-14)\/i - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*-4*1*sqrt(7)*-3*2.\nAnswer: -600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let y = -218 - -224. What is the smallest common multiple of y and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -5. Calculate the remainder when 91 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17716842 - 4?\nAnswer: 17716837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 f when three letters picked without replacement from xxysfyxfyxfxysfs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*f = -f + 10, -2*f + 25 = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -1\/2 (b) 0 (c) -78.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14907.\nAnswer: 3, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174154 and 38.\nAnswer: 174154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/3 + 1\/3. Let x = 33.4 - 2.1. Let j = x - 32. What is the second smallest value in k, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336183903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 0 (b) 1 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlljjjlljllkljl. Give prob of picking 2 l.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 745744379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 103\/2 + 19\/38.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 4. Suppose -5*m = 5*p, p + 3*m = 5*m. Is p + t\/((-9)\/987) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.003\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*u - 196 = 0, -7*u + 4*u = j - 203. Let r = j - 191. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62 and 341.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56918*v**6 + 6*v**2 - 614*v + 3.\nAnswer: -6830160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((45\/(-24))\/((-36)\/48))\/((-6)\/4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7649 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3 + 7 = 2*f + i + 2*i + 14, -21*f = -4*i - 125 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 3174352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:20 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/1147 - 69979\/3441. Calculate the common denominator of -3\/292 and h.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, 15, 235\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/27954150?\nAnswer: 1\/27954150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595986.949 rounded to the nearest one thousand?\nAnswer: 596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 57. Factor 24*y - y**2 + 1 - 43*y + a*y.\nAnswer: -(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*q**4 - 8685*q**2 - q - 26174536 wrt q.\nAnswer: -108*q**3 - 17370*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 10 = -11*g. Solve 4*c + g*w - 5 = -c, -3*c + 5*w = 37 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 + 0.18. What is the second smallest value in p, -4\/13, -2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five quarters of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1933, -1951, -1977, -2011, -2053?\n\"Answer: -4*z**2 - 6*z - 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in sixty-nine halves of a micrometer?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-466)\/(-3495))\/(2*1\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r. Let u(k) = k + 6. What is the remainder when 15 is divided by u(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 - 2\/36. Let y = u + 5\/9. Let v = 104 - 105. Which is the nearest to y? (a) 2\/5 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 11 in decreasing order.\nAnswer: 13, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 24\/2 + -1. Suppose 3*k - 43 - c = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -89, -316, -695, -1226, -1909?\n\"Answer: -76*f**2 + f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 353 = 109. Calculate the remainder when -3*2\/m - 3656\/(-44) is divided by (-61)\/(-9) + (-2)\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 15. Let y be x(6). Let g(j) = j**2 + 2*j + 1. Give g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3461*v + 851*v = -56056 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89 + 4*w**3 + 36 - 7*w**3 - 93 to the form u*w**3 + c*w + b + r*w**2 and give b.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 415255*o. Let c(q) = 2*q. Calculate c(h(m)).\nAnswer: 830510*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 z, and 1 s when three letters picked without replacement from zpstezpe?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -64, -80, -96?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 14) to base 4.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 0.3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*r - 1. Let i be (-10)\/4 - (-1)\/r. Let w(z) = z**3 + 14*z**2 - 14*z + 13. Let g be w(-15). Is i equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q + 380 = 54*q. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 2) + (9 - 4 - 2). Solve h = -t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -38. Let b be (-13 - y)*1\/1. Suppose 5*j + 2*v = -0*v + 8, 0 = 3*v - 12. Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6193325301?\nAnswer: 3, 17, 1327, 91513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 374988 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21757, -21765, -21773, -21781?\n\"Answer: -8*c - 21749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 994, 0.8, 2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -111. Let w = s - 79. Suppose -8*n + 131 = -181. Calculate the greatest common factor of w and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-8))\/7*-6. Suppose t + 3 = 2*u + 12, q*u + 3 = -2*t. Solve 1 - 16 = -t*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150 - 28 + d**2 + 16*d - 58.\nAnswer: (d + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 take away 693.8?\nAnswer: -741.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14)\/42 + (-6)\/(-4) and ((-10)\/(-165))\/2 + 0.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -76\/9*u + 56\/3 - 4\/9*u**2 = 0?\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4763 - 4748. Solve 2*l + m + 1 + 8 = 0, 5*l - 5*m = -n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -13. What is the least common multiple of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1712)\/(-144) + -12)\/(2\/(-15)). Sort 14, -2, 0.2, l in decreasing order.\nAnswer: 14, l, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530 (base 10) in base 8?\nAnswer: -2772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1327, 1369, 1411, 1453, 1495, 1537?\n\"Answer: 42*m + 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-21)*12*2 + -37 + (-124)\/(-4).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v = 46. Calculate the remainder when v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10281 divided by 149\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/12 in 1, -5, 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**8\/80640 - r**6\/180 + r**5\/15 + r**4\/3 - 37*r**2 + r. Let v(j) be the third derivative of w(j). Let v(z) = 0. Calculate z.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2624?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g - 26 + 0*g - 4*g. Suppose 4*k - 8 = 56. Let t(b) be the third derivative of -b**4\/12 - 5*b**3\/6 + b**2. Give k*t(h) - 3*c(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 51\/12 + (-9)\/(-12). Suppose g - 143 = 2*f, 6*g + 693 = q*g + f. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - 5*w**3 + 2*w**3 + (-10132 + 10136 - 243*w + 21*w)*(w**2 + 0 + 0).\nAnswer: -221*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 9800?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(2\/7))\/((f\/((f**(-4)*f)\/f))\/f))\/((f*f**0)\/((f\/(f\/(f*f**(-1\/5))))\/f)))**(-1\/20) assuming f is positive.\nAnswer: f**(137\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mojoiooovpovojvooo. Give prob of sequence vioo.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -1. Let m(b) = 3*b**2 - 5*b. Let p = 2 - -8. Let v(n) = -2*n**2 + 3*n. Give p*v(h) + r*m(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 11. Let d be b(10). Suppose -5*c - 5*l + 5 = -6*l, 0 = -4*l + 20. Let g(w) = -29*w. Let z(k) = -7*k. Let r(i) = c*g(i) - 9*z(i). Calculate r(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 22, 2\/15, 1775, 3 in descending order.\nAnswer: 1775, 22, 5, 3, 2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1219 and 1537?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(112)*2 + sqrt(112)) + sqrt(112))\/sqrt(8))\/(sqrt(56)\/(sqrt(128) - sqrt(8) - sqrt(8))).\nAnswer: 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 7*d**2 + 3*d - 8. Let p = -45 - -6. Let y = p - -63. What is the remainder when y is divided by r(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -179, -3, 3\/4?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2271*o + 3936*o - 208244 = 195211 for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 787896 = 24732104. What is r rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = -938*m + 980*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 51. Solve 5*o + 4 = -1, 0 = q*f - 2*o + 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 672 = 0. Calculate the highest common divisor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 110 = u + 130, 0 = 5*u + 5*z + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137766 + -74741. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1794*n + 42682. Determine r(-23).\nAnswer: 1420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3370, -6740, -10110?\n\"Answer: -3370*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 2*x - 2*x)*(-4 + 1 + 2) - 3*x**3 + 8*x**3 - 10*x**3 + 3*x.\nAnswer: -3*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1, -52524 in descending order.\nAnswer: 2\/5, -1, -52524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 2*c + 3. Let j be n(11). Let x = -60 + j. Suppose x = 9*t + 12*t. Solve o + t = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.00912640371 - 40.00912706371. Let y = -39 + -1. Let r = y - h. What is r rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 15 + 4*l + l**4 + 11 - 6*l in the form i + j*l + k*l**4 + u*l**3 + w*l**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*d - 54*d - 47*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20863, -41648, -62433, -83218?\nAnswer: -104003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 95*p + 1791 + 237 = -105*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 2531011?\nAnswer: 2531016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcczzczccz. Give prob of picking 2 c.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1547 - -1548. What is the nearest to 3 in 0.5, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c*c**(-2\/13))\/c))*c**(-2\/23))\/((c*c*c**(-1\/28))\/c*c\/(c**(-14)\/c*c)))**2 assuming c is positive.\nAnswer: c**(-135669\/4186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75\/776 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*x**2 + 265*x**2 + 0 - 121*x**2 + 0.\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**3 - 2*i**3 + 3*i**3)*(6130 + 171 + 1318 - 1396 + 4279) in the form c*i + a + z*i**3 + b*i**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(-2 + 0 + sqrt(2) + sqrt(2) + (-2 + sqrt(2))*1 + (((sqrt(2) - sqrt(8))*2 - -5*sqrt(18)) + 5)**2).\nAnswer: -3590 - 1330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22494025374544 and 5.\nAnswer: -22494025374539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 640 (b) 6.1 (c) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 13686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12)*90\/(-140))\/(24\/(-42))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(1*(-8 + 6)). What is the second smallest value in -5, v, 69?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-32)\/24640*-35)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -376 times 5.56\nAnswer: -2090.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.99645 + 36. What is t rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:18 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 (base 10) in base 2?\nAnswer: 1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -88*o**5 - 274*o**4 + 58*o**3 + 274*o**2 + 30*o = 0.\nAnswer: -3, -1, -5\/44, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*h + 11, o - h + 2*h = -5. Which is the third biggest value? (a) 0.3 (b) -2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66388.99972713 + 66389. Round x to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2 = -h - h, -22*s - 31 - 13 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/2)\/((-825)\/(-2700))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**2*f**2*x**2 + 512*a**2 + 7*a*f**3*x - 4*a*f**3 - 2434625*f**3*x**2 - 2*f**3 - 5*x wrt x.\nAnswer: -16*a**2*f**2 - 4869250*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -6. Let j(b) = -9 - x*b + 9. Suppose 4*s = u - 17, 4*s + 1374 - 1362 = 0. Let o(c) = -4*c. What is u*j(q) - 8*o(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15 = 2*j. Let f be j\/2*(-48)\/(-36). Solve -3*l - 9*l**2 + 2*l**f + 6 + 4*l**2 = 0 for l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*g**5 + 31*g**4 + 2102*g**5 - 29*g**4 - 6*g**5 + 3*g**5 + g**5 + (g - 2*g + 3*g)*(-3*g**3 - 2*g**4 + 3*g**3) - 4*g**5 + 2*g**5 - 6*g**5.\nAnswer: 2065*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2226929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 13*q + 25. What is v(-14)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 760 and 2224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 64*y**2 - 642*y + 463. Give b(11).\nAnswer: 1145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1\/10, -12, -3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5165 - 5172. What is the closest to -1 in 0.3, u, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/78*(1596\/35)\/2 + 6\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -258 (base 9) to base 10\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 + 16 - 13*z**2 + 0*z**3 - 3*z**3 + 2*z**4 + 15*z**2 as r + o*z**4 + w*z**3 + c*z + y*z**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 10*l + 2*w + 6 = 35*l, -5*w - 35 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2 = 3*c + 1, -4*c - 2 = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(77\/28)*5\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*28\/(-3136))\/2?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/10 + (-5)\/50*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 57) + (1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -167*n**2 + 2*n + 1. Let d(a) = -a**2 + a + 1. Give 2*d(f) - v(f).\nAnswer: 165*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u**3 - u**2)*(-474*u - 120*u - 31*u + 0 + 0).\nAnswer: -625*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9352136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + 4 - -4)*(5 + -2). Suppose -658 = -c*m - 7. List the prime factors of m.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1899?\nAnswer: 7596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 862444?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 355529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 5. Let k(m) = -1. Suppose 14*d + 158*d + 344 = 0. Calculate d*k(z) + p(z).\nAnswer: -z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -289*z**5\/2 - 5644*z**4 - 401269*z**3\/8 + 1084329*z**2\/8 + 2690631*z\/4 - 1391283 = 0.\nAnswer: -681\/34, -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**2 + s**2)*(0 - 4 + 0) + (1 - 5 + 2)*(0*s**2 + 2*s**2 - 21*s**2).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-3 + 4 - -5) + -6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 c, and 1 e when four letters picked without replacement from jsesjscssesccoe.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -386924 or -386925?\nAnswer: -386925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 3*w**2 - 10*w - 12. Let u be y(5). Let d(x) = -9*x - 52. Calculate the remainder when d(u) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - 8. Let c be (i\/(-3))\/(4\/240). Suppose -2*z + 7*z = c. Round z to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbiibibibibi. What is prob of sequence bib?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*(-1076988)\/(-2189).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 412906.146 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4259 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -211101 (base 3) in base 4?\nAnswer: -21130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -3 in decreasing order.\nAnswer: 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(180)\/(sqrt(9)*1))\/sqrt(10) - (sqrt(128)*-1 + 0 + sqrt(128) + ((2*sqrt(128) - sqrt(128)) + -3)**2 + sqrt(128)).\nAnswer: -137 + 43*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 2*z**3\/3 - z**2 + 2*z - 127. Let d = 3 + -1. Calculate the remainder when 29 is divided by j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*j**4\/6 - 2480*j**3\/3 - 1981*j**2\/6 - 33*j.\nAnswer: -j*(j + 198)*(5*j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w - 75. Suppose -6*i - i = -133. Let q = w - i. Let x(u) = u**2 - 7*u + 6. What is x(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29859?\nAnswer: 3, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/13, 6, 0.14, 90, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*7.4.\nAnswer: -29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 - 7 = -115*n + 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 129475.355 rounded to the nearest one hundred?\nAnswer: 129500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 9016508.974 to the nearest 1000.\nAnswer: 9017000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 130\/69?\nAnswer: 130\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4806081989 to the nearest integer?\nAnswer: 69326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l**3 + 9*l**2 - 10*l - 9. Let w(y) = 4*y**3 + 4*y**2 - 5*y - 4. Calculate -2*g(t) + 5*w(t).\nAnswer: 2*t**3 + 2*t**2 - 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31684415436566 - -2\nAnswer: -31684415436564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 11*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82\/19 or -4?\nAnswer: -82\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 393875 - 2.169.\nAnswer: 393872.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/60 - 229*b**2. Let z(x) = 29*x. Give f(z(y)).\nAnswer: 841*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -185 + 8?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v - 44*v + 33*v + 317*v**3 + 139*v**3 in the form j + k*v**3 + f*v + u*v**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56518172 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**4\/12 - r**3\/3 - 58*r**2. Let v(s) be the first derivative of -s - 1. What is g(f) - 2*v(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffxxgcfcf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 16 = d, -11*d + 16*d + 16 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 336\/5 - 4378\/65. Let w = -63 - -89. Let u be (-16)\/(-40)*10\/w. What is the closest to 4 in u, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3236681 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5565 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-14))\/((-1)\/10). Suppose 5*q - 4*u = -12, -2*q - n*u - 6 = -3*q. Is 0 + (-2 - q) - -8 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -827?\nAnswer: -7\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 434022650 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 76.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28215 and 101808?\nAnswer: 319168080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5292 and 0.92?\nAnswer: 4868.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171851 = 3629*b - 13101*b - 6367 + 497556 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-3 - -8 - (11 + -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (23 + -29 - -27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 14899*d - 75090. Give t(5).\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3 (c) -1\/3 (d) -1\/6 (e) -9 (f) -696\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**2)\/(r*r**12))\/(r**4*r\/(r\/((r**(-12)*r)\/r))) assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 9. Suppose 9 = 2*b - 5*k, l = 3*b - k - 3*k. What is the second derivative of -2*o**4 + b*o + 2*o**4 - 2*o**5 wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6089, 6014, 5953, 5912, 5897?\nAnswer: 5914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**6 + 30380*n**4 + 156*n**3 - 1040946312*n**2?\nAnswer: -120*n**3 + 729120*n + 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r, r + 2*r + 25 = 5*n. Solve -n*i + 0*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -590 + 367. Let d = u - -223.4. Let z = 2 + -1.9. Which is the second biggest value? (a) 2 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10121113 + 1011?\nAnswer: 10122130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -21. Let x be g\/3 - 4\/(-6). Suppose x*z - 10*z = -208. What is the greatest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -6 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -22 (b) 1 (c) -3\/8 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4467, -4505, -4543, -4581, -4619?\n\"Answer: -38*c - 4429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 2*g**2 + g - 3. Let o(t) = 2*t**3 - 2*t**2 + t - 3. Calculate 5*m(v) - 6*o(v).\nAnswer: -2*v**3 + 2*v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 6*w**2 - 2*w + 16. Let t be u(6). Suppose t = -2*n, -3*q + 426 = 2*n + 13. What is the remainder when q is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*r - 2*r - 328 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {q: 7, n: 3, d: 9}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 30 = o, -5*c - 6*o + 10 = -3*o. Suppose 36 = v - 4*v - 3*u, -4*u + 96 = -c*v. Let b = 108 + v. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 1696*l**2 + 1724*l + 10200.\nAnswer: -4*(l - 3)*(l + 2)*(l + 425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from ssqqssssqqsqqqssqq.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98996.\nAnswer: 2, 24749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 - (110 + -44) - (0 - -116)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 6. Let n(d) = -d + 5. Let o(r) = r**2 - r + 3. Let t be o(0). Suppose -l = -u - 2, 0 = 4*u + 28 - 12. Give l*h(m) + t*n(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 35 = -3*k, 27 = -10*t - 3*k - 28. What is the biggest value in -195, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 2491?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = -11, 0 = -5*i - 4*b + 40. Let z(f) = f - 1. Let c be z(i). Sort c, 4, 1.\nAnswer: 1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 854 and 84?\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**3\/3 + 5*k + 7. Find the first derivative of l(y) wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.94544 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(2*o**2 + 2*o**5 - 2*o**2) + 4*o**5 - 11*o**5 + 13*o**5 - 3*o**5 + 22*o**5 - o**5.\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120013 + 13530?\nAnswer: -102043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 9:31 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 7 + -4 - 0) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 8 + w**2 + 3*w + 2*w - 3*w. Is h(7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, 4, 6\/9143, -1\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 2732*w\/3 - 77546\/3.\nAnswer: -2*(w + 29)*(w + 1337)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -785*v**3*z + 26*v**3 - 9*v**2*z + 41*v*z + 156*v - 5*z + 6 wrt v.\nAnswer: -4710*v*z + 156*v - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1702 + 5798 = 63*f + 10*f + 52*f for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-170\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 l when four letters picked without replacement from tttltllt?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**5 - 79*y**3 - 243*y**2?\nAnswer: 180*y**2 - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 o when three letters picked without replacement from {y: 5, o: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1147*c. Let l(t) = -57*t**2 - 28*t + 99. Let d be l(2). Let u(i) = -37*i. Calculate d*u(q) - 6*h(q).\nAnswer: -37*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from abssosb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**6\/540 - y**5\/45 + 3*y**3 - 5*y. Let o(z) be the second derivative of h(z). Suppose o(g) = 0. Calculate g.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/12)*m**(-4\/19))\/(m**(-10)\/m*m**(-26)) assuming m is positive.\nAnswer: m**(8293\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 + 0 - 3*b**2 + 2)*(-2*b + 5*b - 10*b).\nAnswer: -14*b**3 - 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18370*j + 1171*j**2 + 18370*j.\nAnswer: 1171*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010514606 to seven decimal places.\nAnswer: 0.0010515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.3434339 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 1:59 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, 6, 5\/3, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 179600146 to the nearest ten thousand.\nAnswer: 179600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, -1406, -2\/7 in descending order.\nAnswer: -2\/7, -12\/11, -1406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 - 28 = 29*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/11 and -70\/5181.\nAnswer: 5181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 - 14*q + 12*q + 3*q**2 + q**3. Suppose 7 = 3*z - 2. What is the remainder when a(4) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + 10*f**3 + 16*f**3 - 15*f**3 - 2*f**3 + 0*f**3 + f**3 + (-4*f + f + 2*f)*(2*f**2 - 3*f + 3*f) - 2*f**3 - 6*f**3 + 4*f**3.\nAnswer: 4*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -7. Let t be (-2)\/(-1) - (-4 + l). Solve t*o - 4 - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**2)**(-2\/41)\/(((x*x**9)\/x)\/(x**3\/x)) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**2\/2 + 11*v - 57. What is d(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 8:13 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 5*(-10)\/(-250) + (-589399942)\/10. What is b rounded to the nearest one million?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28051, -58515, -88979?\n\"Answer: -30464*q + 2413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -9*s**4\/4 - 34345*s**3\/2 + 30537*s**2 + 7634*s = 0.\nAnswer: -7634, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 + 504*v**4 + 3466*v**3 + 8860*v**2 + 9816*v + 3920.\nAnswer: 2*(v + 1)*(v + 2)**3*(v + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -0.4 (c) 285.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 2*s + 2. Let u be o(-2). Let l be (1\/3)\/(6\/7038). Let f(p) = -11 + 2 + 388*p - l*p. Give f(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41460 divided by -6?\nAnswer: 6910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -11113193?\nAnswer: 11\/11113193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3461 - 515924180\nAnswer: -515927641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -47. Let c be 8\/(-28) - (-4)\/h. Suppose c = t - 5*t + 44. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 1:24 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in 1\/8, -29, 2.51, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.874141 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 5*l + 30, -2*l = 3*i + 2*i + 31 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -5 + 1\/3*n**3 + 9*n + 3*n**2. Determine k so that q(k) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 2*x**3 + 2*x**4 + (-2 + 2 - 2*x)*(2*x**3 + 2*x**3 - 5*x**3) + (-1786*x**3 + 828*x**3 - 2120*x**3)*(-3*x + x + 0*x).\nAnswer: 6160*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47934.\nAnswer: 2, 3, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-32)\/12))\/((-18)\/(20 + (-5 - 1)))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 18 = 3*q + 3*m, -q = -3*m - 14. Let a be (q - -2) + (-4 - -19). What is the greatest common factor of 24 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 107 = -4*f + 5*u, -3*u + 41 = 2*f. Let v = f - 6. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(616)\/(-4*sqrt(11)*1))\/(-2*sqrt(128)*-2).\nAnswer: -sqrt(7)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -547 divided by 109360.\nAnswer: -547\/109360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxax. Give prob of picking 4 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(-4*i - 1 + 1 - 3*i + 0*i + 2*i - i + 5 - 5 + 4*i + 0*i - 5*i + (-3 + 0 + 1)*(-i + 2 - 2) + 0*i + 2*i + 0*i).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 188702160 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-1 + 0 - (sqrt(468) + -1 + 0 + sqrt(468) - sqrt(468))) + (sqrt(208) - (-2*sqrt(208) + -3) - (-1 + sqrt(208) + sqrt(208) + -3)))**2.\nAnswer: -128*sqrt(13) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94915040?\nAnswer: 2, 5, 11, 199, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zll. What is prob of picking 2 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**7\/42 + 8*l**6\/15 + 99*l**5\/20 + 65*l**4\/6 - 38*l**3\/3 - 84*l**2 + 8288*l. Find b, given that q(b) = 0.\nAnswer: -2, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)*i\/(i*i*(i*i*((i*i\/(i*i\/(i\/i**(-2\/23)))*i)\/i*i)\/i)\/i))**46 assuming i is positive.\nAnswer: i**(-472\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 651 = 9*b. What is the remainder when 74 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t - 2*t + 4*t + 3*t - 4 + 4 + (0 - 2 + 1)*(-2*t - 1 + 1))*(-3 + 3 + t) in the form r*t**2 + x*t + p and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3439342, -2\/7, 1?\nAnswer: 3439342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 52 + 4c?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.441 - -0.059. What is the third smallest value in 2\/13, b, 3.3, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + x + 44. Let u be i(6). Let z = u - -106. What are the prime factors of z?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/4)\/((-46296)\/(-7712) - 6). List the prime factors of -9*(d\/(-18))\/(-1).\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/2 + 27*o**2 + 184*o = 0?\nAnswer: -46, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5899, 11775, 17651?\nAnswer: 23527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*t + 10, -3*r + 4*r = 2. Suppose 0 = q - 5*x - 2, t*q - 3*x = 2*q - 4. Solve 5 = -q*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2 + (-6 + 4 + 0)*(3 - 3 - 1))*(-166 - 26*b + 173 + 5*b) - 5*b + 2*b - 6*b + (4 - 3 + 1)*(b - 3*b + b) to c + w*b and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 51599*l**2 - 6*l - 5. Let p be r(-5). Suppose 2*x = 5*x + p. What is x rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136\/(-32) - -5 - 445\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1 + 9)*2. Let i = 0.111 - 0.111. What is the nearest to i in 0.5, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a second?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 4 - 4)*(-18 + 29 - 9 + 2*p) to the form t + d*p + g*p**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 24*l**2 + 2. Let x be y(-24). Solve -11 = -x*f - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 11*b - 9*b + 33, -b - 4*j - 24 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -399, -610, -717, -666, -403, 126, 975?\n\"Answer: 9*x**3 - 2*x**2 - 268*x - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 1. Let c(t) = 2*t - 1. Let p(o) = 3*c(o) + 4*l(o). Suppose -5*w - 16 = 2*z - 0*z, -2*z - w = 0. Let g be (-2)\/((-7)\/(35\/z)). What is p(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/751, 2.6, 1\/4?\nAnswer: 3\/751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:19 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 22*x**2 - x + 3. Let u(t) = -436*t**2 - 576*t + 2260. Let i(w) = 20*k(w) + u(w). Factor i(m).\nAnswer: 4*(m - 145)*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 468 = 3*m, 2*m + 5*w + 312 = w. Let d be 0 + 462 - m\/(-52). Calculate the greatest common factor of 27 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537*t + 525*t - 2*t**2 - 1062*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -65, -134, -203, -272?\n\"Answer: -69*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.1305 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87 (base 14) to base 16.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78*(-1245)\/3120 - (2 - 33)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 3\/5, 5, -4\/3, 27, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c97 (base 13) to base 5.\nAnswer: 234433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (sqrt(171) - sqrt(171)*-1))*4)\/(sqrt(144)*-1)*-1)**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1100 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1)*(-1 + 4 - 2)*(0 + 0 + 3)*(-2 - 1 + j + 1) + (-11*j**2 + 14*j**2 + 10*j**2)*(3 - 1 + 0) + 9 + 19*j**2 - 9.\nAnswer: 51*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511897460.\nAnswer: 2, 5, 2243, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 29552 divided by 14776\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -1, 21, 63, 131, 231, 369, 551?\n\"Answer: x**3 + x**2 - 2*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 16 - 108 + 45*c.\nAnswer: 45*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Suppose x + f*x - 15 = 0. Suppose -5*m + m = -x*i - 22, -3*i = 3*m - 3. Solve 4*u - 3*b - 4 = 0, 2*b + m*b - 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -755 (b) 2\/3 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:42 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146*w**3 + 1 - 3*w**4 - 148*w**3 + 298*w**3)*(-2*w + w + 0*w).\nAnswer: 3*w**5 - 4*w**4 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11612 + 11673. Solve -n + 2*k = 2, -n = 64*k - d*k - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/90)\/((-3017)\/1533 - (-5 + 10 - 7))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, 1\/6, -305, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*z - 20979355 + 20979355.\nAnswer: 350*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4841 or -4840?\nAnswer: -4841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63876705 plus 0.2?\nAnswer: 63876705.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/13)\/y*y)\/((y**(1\/6)\/y)\/y))**(-15\/2)*((y*y**(-11))\/y**(1\/11))**(-11) assuming y is positive.\nAnswer: y**(4577\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = s + 4*s. Let h(w) = w - 8. Let a be h(s). What is the closest to a in -2\/11, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2 = j, m = -3*m - 2*j + 4. Suppose -988 = -4*w - 5*b + b, 2*w - b - 500 = m. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-26) - (-14)\/((-910)\/(-4085)). Solve -a = -21*m + 42 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 108*i**4 + 2*i**3 + 65. Let v(u) = -217*u**4 - 5*u**3 - 129. Let k(n) = 5*l(n) + 2*v(n). What is the first derivative of k(r) wrt r?\nAnswer: 424*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -959755*l**2 - 1329238*l.\nAnswer: -1919510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/121 and 31\/44.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 4*k + 75. Let d = -9 + k. What is the least common multiple of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3 + 2*u + 8*u**2 + 7*u - 2*u**2 - u**2. Let q(h) = -2*h**2 - 4*h - 1. What is 9*q(g) + 4*s(g)?\nAnswer: 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t**2 - t. Let x(f) = 28073*f + 54. Calculate x(s(m)).\nAnswer: 224584*m**2 - 28073*m + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 248*b - 251*b - 3*m, 6*b + 4 = -4*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790169?\nAnswer: 790169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llig when four letters picked without replacement from glgliimm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/60 - 2*f**5\/15 - 5*f**4\/12 - 2*f**3\/3 - 8*f**2. Find r such that c(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 60 = v. Suppose -4*d + 3*f = -v, 4*d - 8 = f - 3. Suppose 3*b - 3 = 0, 5*a - 711 = 4*b - d*b. What is the greatest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -33. Solve d*i = 2*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289230600.\nAnswer: 2, 5, 7, 173, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 920689*h**3 + 3112710*h**2 - 2*h wrt h.\nAnswer: 5524134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5927.63 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20604)\/(-45) - (-12)\/90 is divided by (-1 + 1)*10\/10 - -27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -23*n**4\/2 + n**3\/3 + 11*n**2\/2 - 1521*n + 6816. What is the derivative of u(r) wrt r?\nAnswer: -138*r**2 + 2*r + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -460.5 + 470.3044. Let j = 0.2056 + v. Let c = j + -10. Which is smaller: c or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/175)\/(2\/(-10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -11. Suppose 4*n = -7 - 1. Let y be n*((-1)\/(-3) + 0). Which is bigger: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 185124 - -5?\nAnswer: 185129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v**2 + 192*v + 6*v**3 - 192*v)*(-4*v + 2*v + v) + 51*v**4 + 59*v**4 - 112*v**4 + 6 - 8*v**3 to d*v**4 + u + f*v**3 + q*v + i*v**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osw when three letters picked without replacement from oxssawxxaaosoop.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*l + 5*l**3 + 0 + 6\/5*l**4 + 28\/5*l**2.\nAnswer: l*(l + 2)**2*(6*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 69*i + 186. What is the remainder when 787 is divided by v(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -57. Let k = -1220 - -1223. Which is the closest to -1? (a) z (b) k (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 9*n**2 - 9*n - 10. Let l(z) = -28*z - 173. Let u be l(-6). Let s be 16\/u*4\/(32\/(-20)). Determine c(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c (base 14) in base 4?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*14\/(616\/99).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28833 - -28913. What is the least common multiple of q and 2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 2\/(-4 + 2). Suppose 8 + 16 = d*f. Suppose -w - 4*o + 30 = 0, -2*o - o + f = 0. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 22*g**2 - 48*g + 72.\nAnswer: -2*(g - 1)*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3612 and 238.\nAnswer: 61404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 11 = -3*t - s, -2*t + 10 = -s. Let a(p) = -2*p - 3. Let y be a(t). Let r be (-6)\/(-15)*y\/(-9). Which is smaller: r or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, t: 2, s: 2, n: 2, a: 8}. Give prob of sequence msnn.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 7. Let n(y) = -2*y**3 - 2*y**2 - 3*y. Let i be n(-1). Suppose 4*f + 8 = 0, -i*p - 10*f = -14*f + 7. Determine l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8398125.\nAnswer: 3, 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 265 - -553?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24022 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123414, -496403, -1118052, -1988361, -3107330, -4474959?\nAnswer: -6091248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**6\/1080 - q**5\/360 - q**3\/2 + 6*q**2. Let j(p) be the first derivative of u(p). What is y in j(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.136804 microseconds?\nAnswer: 8136.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 11*i**2 + 18510*i - 18510*i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(242) - (sqrt(242) + 3)) + sqrt(32)\/sqrt(64).\nAnswer: -8 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 117*v + 2*v**3 + 109*v - 3*v**2 + 34*v**2 + 3*v**2 - 73. Is i(-34) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3\/4 - 23243*l**2\/4 - 23246*l - 23247 = 0?\nAnswer: -2, 23247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1165001 + -11?\nAnswer: -1165012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076024 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1143*a - 9. Let q(n) = -559*n - 4. Let j(f) = -2*c(f) + 5*q(f). Let d(y) = 2*y**2. What is d(j(h))?\nAnswer: 518162*h**2 + 4072*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 4776.\nAnswer: 52536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8450 + -8446. Which is the fifth biggest value? (a) 2 (b) g (c) -3\/2 (d) 122 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 43 = -7*z. Let d = z - 55. Let y be d\/16*-4 + 2. Solve 0 = 2*a - c + 3 + 5, -a - 4*c = -y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2796 = y. Suppose 0 = -5*u + 5*a - 4*a + 1590, 3*u - y = 5*a. Suppose -4*x - 4*s + 33 = -219, 5*x + 4*s = u. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -g + 20, 3647*g - 4*q = 3644*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/12*(-25347)\/35.\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 10+-2253548541066\nAnswer: -2253548541056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 551*p**2 - 1954*p + 207. Give d(-279).\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*z + 178 + 4862 = 0. Let g(j) be the first derivative of 2\/3*j**3 + 2\/5*j**5 + j**4 - z + 0*j**2 + 0*j. Solve g(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**2 - 21*r - 21. Let y be d(-1). Sort 68, -3, y in descending order.\nAnswer: 68, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -586616 by 6.\nAnswer: -293308\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -296774097*a**2*h**2 + 19435*a**2*h + 12*a**2 - 29*a*h wrt h.\nAnswer: -593548194*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 14*i = 320. Let n = 101 + i. What is the remainder when n is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 746046?\nAnswer: -746056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 6*m**2 - 5*m - 8. Give r(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8)*l\/l**(-9)*(l**(4\/3)*l)\/l**(-1\/3) assuming l is positive.\nAnswer: l**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-1 - 1) + (-2 - -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 620701.7 decades?\nAnswer: 6207017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((-3 - -9) + -43). Is 3 a factor of ((-7)\/((-105)\/162))\/(16\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -1\/40, -2, -20?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 - 131. Suppose 0 = 4*z + b*z + 6642. Let v = -518 - z. What are the prime factors of v?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514.8 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 at most as big as -94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgulqq. Give prob of picking 1 l and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 229105308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -1\/4 (c) -0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.41108162 to three decimal places.\nAnswer: -39.411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 114509, 114407, 114305, 114203, 114101?\n\"Answer: -102*z + 114611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-9) + -15)*(-4 + (-690)\/(-175)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9307185 and 18614370?\nAnswer: 18614370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20251533?\nAnswer: 3, 6750511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -40. Let k be (144\/64)\/(-9) + 118\/(-40). Which is the second smallest value? (a) 2 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooaaaaeeaaaaoaaaa. What is prob of picking 1 o and 1 a?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 198036.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/3946 and -93\/74.\nAnswer: 146002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvsvmsvvmmvsm. Give prob of picking 1 s and 1 m.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 + 2*a**5 - a**3 + 5*a**4 + 5*a**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o - 3540 = 48*o. What is o rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 84. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 16) in base 2?\nAnswer: 1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*n - q + 52, -65 = -5*n + q. Let y = -9 + n. Let x be (-34)\/(-8) - 2\/8. Solve -2*p + 4 = x*v, y*v = -v - 5*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 2. Let j(v) = -v**2 + 8*v - 3. Let h be j(6). Let q(n) = 3*n + 9. Suppose 5*x = 2*f + 20, 2*f + 0 = -4*x - 2. Determine h*z(i) + x*q(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6628 and 1576784?\nAnswer: 2612731088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660564.\nAnswer: 2, 3, 59, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2.76, -40, -2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104435422 (base 6) in base 5?\nAnswer: -11031331131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1519.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259039, -259040, -259041, -259042?\nAnswer: -259043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96467 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9284*j**4*l - 13*j**3*l**2 - j*l - 65*j + 2*l**2 wrt j.\nAnswer: -111408*j**2*l - 78*j*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooo. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 1:10 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2802*k**4*m + 40*k**3*m - 3*k**2*m - 38732*m + 3 wrt k.\nAnswer: 67248*k*m + 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1. Let u(f) = -28*f + 1. Let k(m) = u(m) + 2*x(m). Let a be k(-1). Suppose -r = -4*r + a. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 + -431\/4. Let v = 7940 + -23822\/3. What is the second smallest value in p, v, 0.5, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - -2916. Suppose -5 = d, v - 3*d - l = -3*v. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1735178, -3470360, -5205542, -6940724?\n\"Answer: -1735182*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -43*j**4\/6 - 19423*j**3\/3 - 38674*j**2\/3 + 77692*j\/3 + 51680 = 0.\nAnswer: -38760\/43, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 800562698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24633 + 6222?\nAnswer: -17411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*v - 58*v - 51*v + 592*v**2)*(-4 + 5 + 0).\nAnswer: 592*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 + 162*b - 8. Is r(-37) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/17 in -432, 6\/7, -2, 1\/3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-37)*(((i\/(i*i*i\/i**(-2\/9))*i*i)\/i)\/i)**(-2\/25) assuming i is positive.\nAnswer: i**(-3322\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*b - 237*b = 475*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 109086 (base 12) in base 16?\nAnswer: 40926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 3. Suppose 0 = -5*h - x - 9. Sort h, 3, 4 in increasing order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 + -68. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 50. Let b = -0.2 + 0.3. Put 0.2, b, g in increasing order.\nAnswer: g, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 9*r**2 - 11*r + 4. Let x be l(10). Let n(i) = i**2 + 5*i - 3. Let z be n(x). Solve 0 = -z*s - 2*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + m - m. Let a(s) = -s**2 - 8*s - 7. Let d be a(-7). Let h(l) = -l + 0 + d. What is h(t(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259 - 211. What is the highest common factor of w and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1559, -8, -22, -42, 0.5 in ascending order.\nAnswer: -42, -22, -8, -2\/1559, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248098 - 5.8.\nAnswer: 248092.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*o - 2*t + 154 = -94*o + 160*o, -2*o + 2*t - 26 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 88848 = -8976. Round u to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/24 + 5*r**5\/6 - 3*r**4\/8 + 11*r**3\/3 + 2*r**2 - 23*r. Find the second derivative of u(l) wrt l.\nAnswer: -30*l + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43 and 41623312.\nAnswer: 41623355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (37 - 48) - (-2 - 3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4 (c) 2.229 (d) -2\/3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)\/(2\/6). Suppose -3*m = -6*m - 5*o - 10, 40 = 5*m - z*o. Suppose 0 = -8*d + 14*d - 90. Solve 0 = -3*f + m*g - 2 - 17, 5*f + d = 5*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(19))**2*1.\nAnswer: -2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (942\/3140)\/((-369)\/(-30)*-2)\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 - 2562 = -8*r. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1016281144*z**2 + 1455734492?\nAnswer: -2032562288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -10 + 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -82, -4, 31067?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19501393 + 12*l - 4875345 - 4875347 + 17*l - 4875350 - 4875351.\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 42*s + 2252. Calculate the remainder when 1285 is divided by j(-53).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*f + 2*f**2 - 184*f + 3*f**3 to m*f + q*f**2 + b + h*f**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*u + 7*u. Let w = u - 6. Solve -2*m = -2*a - 6, -w*m + 2 = -3*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/304 and ((-108)\/(-1296))\/((-2)\/118).\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 13 - 23 = 0. List the prime factors of 6\/12 + 15\/f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 5:10 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 123953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-473)\/(-55) + 4\/10. Suppose i*b - 1005 = 6*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199278011*z**4 - 239435094*z**2?\nAnswer: -4782672264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*p + b, -p = -5*p + 3*b + 12. Suppose 2*o + 4 = p*o. Suppose -33 - 15 = -o*y. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4455 and 4185.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**2 - 11*r + 1. Is c(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**2\/2 + 10*x - 1. Let u(n) be the second derivative of -n**3\/3 + 11*n - 78. Determine u(d(z)).\nAnswer: 2*z - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*x**5 - 11*x**3 + 24673*x**2 + 941411470*x wrt x?\nAnswer: -1840*x**3 - 66*x + 49346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (36 + -23 - -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5811*r**3 - 90*r - 693174 with respect to r.\nAnswer: 17433*r**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**5 + o**5 - 2*o**5)*(77680 + 1893 - 21145 - 1429 + 54637 + 38706).\nAnswer: 150342*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 12*q**2 - 5*q**2 - 9*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-1 + 6\/1). Let x = r + 103. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2*-6 + ((sqrt(4) - (sqrt(4) + sqrt(36))) + sqrt(4))\/sqrt(2))**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 689*c - 686.\nAnswer: -(c - 1)*(3*c - 686)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -d + 1, -3*q + 8 = -7. Let j = d + -9. Calculate the greatest common factor of 60 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) -2\/3 (b) 1\/4 (c) 0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -253.894822 rounded to 0 decimal places?\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1133 and -66\/18025.\nAnswer: 198275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*t**4 + 230*t - 452*t + 224*t)*(-t + 2*t - 2*t).\nAnswer: -30*t**5 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-357))\/((-46)\/(-14) + -3)*24?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, s: 2, r: 8}. What is prob of sequence rsx?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -156446926.8 to the nearest 10000.\nAnswer: -156450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3633 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 9*v**2 + 68*v - 4. Let t(f) = 10*f**3 + 100*f**2 + 765*f - 45. Let q(x) = -45*g(x) + 4*t(x). Let r(a) = a**2. What is q(n) + 5*r(n)?\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/106 and -49\/1866.\nAnswer: 98898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 3*l - l**2)*(-l + 5*l - 3*l) + (-l**3 + 3*l**3 + 0*l**3)*(3 + 0 - 1)*(-1 + 0 + 0) in the form n*l + r + a*l**2 + y*l**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43622*n**3*s**2 + 65*n**3*s - n**3 + 5033*n**2*s**2 - 188*n**2 - s**2 wrt n?\nAnswer: 261732*s**2 + 390*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 20503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16432 in -0.4, 0, -174?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 - -2 - (-6 - -2))*75 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*y + 94, 3*y - 1 - 33 = 2*b. List the prime factors of 4 - b - (-2)\/(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -10 - -10 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1003014?\nAnswer: -1003024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:32 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 324 = 3*a, a - 4*a + 201 = 2*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.01, 1, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 21. Let q be o(5). Suppose 33 = -q*h + 41. Calculate the smallest common multiple of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((4 + 1*(sqrt(637) - -2*sqrt(637))*2 + 4)**2 + 4)*-5.\nAnswer: -114995 - 3360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k + 781 = -42*k - 9*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 27 + 0 + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3662.88 to 0 decimal places.\nAnswer: -3663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*16\/(-30))\/(26\/65).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1\/2, -0.5, -2954, 0, -5 in ascending order.\nAnswer: -2954, -5, -0.5, -1\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16*-29.\nAnswer: 4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = 0. Suppose 2*c = -m*c + 6. Suppose 0*j - c*j + 39 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 337090 and 180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 396841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 3:29 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15388.4727 + -15386. What is c rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 97.00526 millilitres?\nAnswer: 0.09700526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3285, 3, -5, -3, 1, 10 in descending order.\nAnswer: 3285, 10, 9, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2942 is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -13. Let d(x) = -x**2 - 11*x. Let w be d(-6). Find the common denominator of q\/4*w\/(-125) and -109\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348 - 21*v - 348 + 23*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**3\/6 - 79*w. Let n(z) = 10*z - 17*z + 10*z. Calculate -n(o) + 4*s(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19*(-312)\/(-186732))\/(1\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*a**2 + 34*a**2 + 6*a**6 - 17*a**6 wrt a?\nAnswer: -1320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-44)\/230*(4 + -2). Let f = 18\/23 + r. Which is the nearest to -0.1? (a) -0.5 (b) f (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -4, -1\/20597, -5, -2\/3 in ascending order.\nAnswer: -5, -4, -2\/3, -2\/5, -1\/20597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18*(5\/2 - 3). Suppose 7*f - r*f = -8. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 6809, -26, -2 in ascending order.\nAnswer: -26, -6, -2, 6809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2917 by 4714.\nAnswer: 2917\/4714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 2*g + g. Let i(o) be the second derivative of -19*o**3\/6 - 75023*o. Determine t(i(v)).\nAnswer: -95*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 25*q + 722. Let k be h(-42). Let b(o) = -5*o**2 + 11*o - 3. Let l(g) = 6*g**2 - 12*g + 2. Let y(r) = -5*b(r) - 4*l(r). Determine y(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4215, -3916, -3617, -3318?\nAnswer: -3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/36*1)\/((-9)\/((-54)\/(-24)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773547997?\nAnswer: 59, 13110983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 7:46 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 2:08 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b8 - -3?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1412, -2828, -4248, -5672?\nAnswer: -7100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54910 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 14) in base 16?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*c + 2228 = 1185 - 2729 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 14*i**2 + i - 1. Let q be 4 - -3*4\/(-3). Suppose -4*n + 4*m = -q*n - 192, 3*n = -5*m + 176. What is the lowest common multiple of n and t(1)?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5812 and 23020.\nAnswer: 33448060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 87*y**2 + 123*y - 213. Is 69 a factor of q(87)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 151797169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, n: 15}. What is prob of picking 4 b?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 3*u - 10*u + (-2 - 2 + 5)*(-3 + 3 - 3*u) to i + f*u and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -22. Suppose 720 = 5*o - 5*p, j*p - 147 = -3*o + 2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + (3 + -4 - -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065964706?\nAnswer: 2, 101, 631, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -10. Let u = -93 + 102.6. Let w = u - o. What is w rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -86 (b) -2 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138503689.\nAnswer: 47, 107, 27541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 6373*p + 6372*p + 15 = 0, h + 0*p + 2*p = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**3 + 3*k**2 - 27*k - 41. Let q(r) = r**3 - r**2. Let y(w) = n(w) - 6*q(w). Let f(d) be the first derivative of y(d). Factor f(p).\nAnswer: -3*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 412334 + -123013?\nAnswer: 234321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -1 + (1 - 2). Let d = 0.7 - 0.1. Let p = -1.6 + d. Which is the nearest to i? (a) 0.1 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 23 = 4*c, -3*c - c + 38 = 2*z. Suppose c*q - 10*q = -90. Suppose g + 4*y - 3*y = 0, -2*g = y - 5. Solve 3*b = 3*v + q, -v + g = -2*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 47*a**2 + 129*a - 133. Let k be h(-44). Suppose v = 4*v. Suppose 16 = -7*y + 4*y + 4*u, -4*y + 4*u - 16 = v. Put 4, y, k in ascending order.\nAnswer: k, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/7 - 200\/(-56). Suppose k*s - 9 = -0. Let l = 6 + -2. Sort s, l, -0.5.\nAnswer: -0.5, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 15?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34217 - 106876. What is q rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) -3 (c) -318 (d) 351 (e) 0.2 (f) 1 (g) 3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7212\/8 + 6 + (-45)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24143123 (base 5) in base 16?\nAnswer: 36e14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 60.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(2448)*2 - (0 + (sqrt(2448) + sqrt(2448)*1 - sqrt(2448)) - sqrt(2448)) - (-5 + 3 + sqrt(2448) + -2 + sqrt(2448)))**2.\nAnswer: -1152*sqrt(17) + 352528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 45*x. Let b(z) = -730696*z**2. Calculate b(p(r)).\nAnswer: -1479659400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2018 + 810. What are the prime factors of g?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 + -11)*(1 - 1). Suppose 41*p - 36*p = b. Let u be p - (-2 + -2) - 0. Solve 20 = -u*m - m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 423 + -423.00243. Round w to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1248272*b + 7489630. Calculate v(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001110100 (base 2) in base 6?\nAnswer: 11352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1672282 + 3822836729\/2286. What is the common denominator of -121\/54 and y?\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-5))\/(360\/4575) and 29\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3169885 is divided by 6003?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 20 = -0. List the prime factors of 3\/5 - 67\/k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41734 in -0.1, 0.1, 3, 2\/67, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 282, 290, 310, 348, 410, 502, 630, 800?\n\"Answer: g**3 + g + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 12 = 2529*c - 2524*c, 2*p + 26 = 8*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 587 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9315814, 18631792, 27947770, 37263748, 46579726, 55895704?\n\"Answer: 9315978*m - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c**3 - c**2 + 2*c - 7. Let b be w(2). Suppose 2*s + 7 - b = 0. Calculate the remainder when s is divided by 19 - (2 + -3 - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-2 - 2)\/(-2). Is 1\/(b - 1)*-33 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, o: 17}. Give prob of sequence hhoo.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 20*z**2 - 31*z - 16. Is r(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 9*p - 20. Suppose 3*j = -j - 4*c, -5*c - p = 0. Solve 0*y - 2*u = -j*y - 4, 3 = y + 4*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2552 - -7042. Suppose 4*q + 460 = 4*z + 4080, 5*q - h = -2*z. Find the common denominator of -115\/42 and (12\/q)\/((-4)\/410).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-54)*(-6)\/(-1). Does 8 divide 3\/o + 1672\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5807 + 35?\nAnswer: 5842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of -693*(-10)\/(-75)*(-10)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121 + 122. Which is smaller: m or 56?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/4 + (-2)\/(-8). Suppose -2*c - 2*c = 3*p - 14, y*c = p + 12. Suppose c*d - 40 = -0*d + 4*b, b + 8 = d. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543 + 193 = 8*c. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 4. Let p(t) be the third derivative of -t**3\/6 - 2*t**2 - 76*t - 1. Give -l(j) + 6*p(j).\nAnswer: -j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 229.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 8, -3 in increasing order.\nAnswer: -3, 8, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5646, 5647, 5648, 5649, 5650, 5651?\nAnswer: 5652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16823*f**2 - 4683*f + 2 wrt f.\nAnswer: 33646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 13. Let u = 13 + q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1962 is divided by 257.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -480 - -488. Suppose b*q - 306 = -282. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = x + 13. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -15*s**2 + 55*s + 45. Let f(g) = 10*g**2 - 36*g - 30. Let j(i) = 8*f(i) + 5*l(i). Let z be j(-2). Let a be (-2)\/6 - 188\/(-6). Is a less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 1. Let z be s(0). Suppose -7 - z = -u. What is the least common multiple of u and 52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 15, f: 3}. What is prob of sequence gff?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**7\/21 - h**5\/60 - 5*h**2. Find the third derivative of p(t) wrt t.\nAnswer: 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003869 rounded to four dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1569 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6219599 - -3569599. What is v rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjsj when four letters picked without replacement from {j: 5, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 592 + 603 = -5*m, 8*j - 4*j = -m - 31 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23090216 by -8282.\nAnswer: -2788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 129 in decreasing order.\nAnswer: 129, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87014 in 4\/5, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q - 1. Let c be v(1). Let s = 8 + c. Suppose 3*i = -0 + s. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 43. Suppose 110 + 6 = 4*p. Let t = p + f. Which is bigger: t or -11\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 95, 155, 223, 299, 383?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -747*q**4 - 4*q - 199 wrt q?\nAnswer: -8964*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uguuuguuu.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59\/1180)\/((-2)\/(-4)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1313222000 (base 5) to base 13\nAnswer: 8a0a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.407 (b) 0 (c) -3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 3*s + 2*s)*(-1044*s**3 - 684*s**3 - 4504*s**3 - 1611*s**3) in the form n + m*s**4 + v*s + y*s**2 + h*s**3 and give m.\nAnswer: -7843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707*o + 707*o + 14*o**2.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-60)*(0 + -5)*((-50450)\/(-1800) + -28)\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzrz when four letters picked without replacement from rzzcczrz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = k - 3*k - 15*r + 14 - 38, -2*r - 48 = 2*k for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3. Let b(p) = p**3. Let o(x) = -12*x**3 + 36*x**2 - 16*x. Let w(r) = -7*r + 3. Let c be w(1). Let g(z) = a*o(z) + c*b(z). Factor g(t).\nAnswer: 4*t*(t - 4)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-u**2 - 3*u**2 + 3*u**2) + 4*u**2 - 3 + 3 - 6*u + 32*u + 104*u**2 - 105*u**2.\nAnswer: 2*u**2 + 26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5545 - -5548. Let w(q) be the third derivative of -7\/40*q**6 - 1\/6*q**5 + 0*q**4 + 0 + 13*q**2 + 0*q + 0*q**h. Find the third derivative of w(m) wrt m.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, i: 7, l: 9}. What is prob of picking 1 m and 2 i?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - 3*u**2 - 40*u + 24*u.\nAnswer: -3*u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 527976 and 99?\nAnswer: 5807736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9 - 0?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11648372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - w - 31, 3*k + 0*w = -5*w + 53. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*s + 1 + 5\/3*s**2.\nAnswer: (s - 1)*(5*s - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/23340 and -61\/4900622.\nAnswer: 147018660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23748 and 3020.1.\nAnswer: 26768.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3679, 3676, 3673?\n\"Answer: -3*v + 3682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -267.99997861 + 268. What is b rounded to six dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 8*x - 21. Let c = 18 - x. List the prime factors of 114\/((c - -2) + 3).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 + (39 - (-4 + 23)) + -12\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73369 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426610172.\nAnswer: 2, 17, 67, 93637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 723.73800112 + -723.678. Let k = 0.04 - 0.1. Let q = k + f. What is q rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 + 66*q - 476. Let g(x) = -9*x**2 - 85*x + 634. What is 10*g(r) + 13*j(r)?\nAnswer: r**2 + 8*r + 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -84, -40, -10 in decreasing order.\nAnswer: -3, -10, -40, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**2 - 191420*s + 191415 = 0.\nAnswer: 1, 38283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdsddttttssgdtddbss. What is prob of picking 1 s, 1 g, 1 t, and 1 b?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q - 5. Suppose -3*t + 1 - 12 = 4*z, -6 = 2*z + 2*t. What are the prime factors of k(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18 + (518\/63 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 485434918 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-476)\/(-26)*(-232)\/64. Let l = a - -580\/13. What is the common denominator of l and 115\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*i - 30. Suppose 2*p = 57 - 51. What is the lowest common multiple of i and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - (sqrt(120)*2 - sqrt(30)) - sqrt(30) - (4*sqrt(4320) - sqrt(4320) - sqrt(4320)))\/(sqrt(54)\/sqrt(144) - (sqrt(6) + sqrt(54)\/sqrt(144))).\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(48).\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2264617 or -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*m + 188*m + 415*m to the form p + q*m and give q.\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 26. What is the third biggest value in v, -1, 2\/17, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70362 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 2 - 102 = -2*k, -2*k + 5*l = 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 32*n**5 - 122*n**4 + 168*n**3 - 92*n**2 + 8*n + 6 = 0.\nAnswer: -3\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -2) + -21 + -12 + 61.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 213217215*k**2 - 55052351 wrt k?\nAnswer: 426434430*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 7845865?\nAnswer: 7845856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92.8 + 2683.\nAnswer: 2590.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64705 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/17 - 134594*c\/17 - 67298\/17.\nAnswer: 2*(c - 33649)*(2*c + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -3, 452, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21002022 (base 3) to base 6.\nAnswer: 35525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 9:08 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2226 by -6.\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 407535855 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.55 (b) -0.34 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.03 (b) -1\/5 (c) -1\/8 (d) -25 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -358*f**2*n**2 - 51559*f**2*n - 3*f**2 + 14987*f*n**2 - 10*f*n - 14*f + 2*n**2 - 1 wrt f?\nAnswer: -716*n**2 - 103118*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/238 and -81\/10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-4 + -1)) + (-1)\/1. Suppose i - 3*a = -q*a + 35, -2*a = 3*i - 120. Calculate the highest common factor of i and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*88\/6. Let a = -20 + i. Factor -2\/7*m + 0 + 2\/7*m**a.\nAnswer: 2*m*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f + 37. Calculate the remainder when 267 is divided by d(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 602854 and 3129.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1842994, 1842830, 1842558, 1842178, 1841690?\n\"Answer: -54*p**2 - 2*p + 1843050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -660144 at least -8581890\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 12789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2\/15, -0.2, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1711\/260714 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/l**(-5))*l)\/(l*l**5)*(l**(2\/3))**(-2\/33))\/(l**2*l**7*(l\/l**1)**(-47)) assuming l is positive.\nAnswer: l**(-1786\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + o**2 - o - 5. Let h be t(0). Which is the second smallest value? (a) 2 (b) 1\/4 (c) h (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*v - 4*j + 37, -32 = -5*v + 3*j. What is the second derivative of 4*a**3 - v*a - a + 7*a wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2847 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - (-9 - -2) - (0 + -4). Suppose -x = b*w + 2, 3*x = 14*w - 16*w - 6. Suppose -41*j + 34*j + 14 = w. Solve t + 10 = 2*u + u, -8 = -2*u + j*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 + 3*o**2. Suppose 14*c - 23 = 313. Suppose 2*b = 0, -25*z = -29*z + b - c. Let u(i) = 28*i**3 + 22*i**2. What is z*u(d) + 44*w(d)?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*y + 5*l, y - 4*y - 4*l = 12. Let u be 5 - (-2 + (y - -2)). Solve 2*h - 14 = 4*g, 4*g + 18 = u*h - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1000*g**2*k**3 - 12*g**2*k**2 - g*k**3 + 6*g - 1111*k**3 wrt g?\nAnswer: 2000*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-54)\/(-16)))\/(30\/(-45)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/2*(4 - -22). Let j = n - -19. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250510 (base 6) to base 16\nAnswer: -56ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.03 (b) -1 (c) -2 (d) -4 (e) 260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-28))\/5*((-7560)\/(-2448))\/3?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7591 at most as big as 7586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -5, 1\/214, 2.2?\nAnswer: 1\/214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1325*w**2 - 1. Let n(y) = 344*y**2. Give s(n(d)).\nAnswer: 156795200*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-3)\/(-10))\/(-3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 56 = 16. Solve f*r + 8 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))**(-3\/5)*l**(5\/3)\/l**(-9) assuming l is positive.\nAnswer: l**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*j = 683*j + 84 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 2\/7 (c) 0 (d) 0.5 (e) -1 (f) -0.1 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p. Let a be -4*(-6)\/(-4) - -3. Let j(s) = -s**2 - 3*s + 2. Let v be j(a). Let i(q) = 0*q**v + 0*q**2 + q**2. Determine c(i(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 3386*u**2 - 6 + 2526*u**3 - 1688*u**2 - 1689*u**2 + 3 wrt u.\nAnswer: 15156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -1. Let j = u + -0.1. Let m = 3.8 - -0.2. Which is the third smallest value? (a) j (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2542 + 7653. Suppose i = 5*y + 3*d + d, y - 1039 = -5*d. Suppose -v = -5, 2*z = 5*v - 2*v + y. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44808998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76102, -152064, -227882, -303556?\nAnswer: -379086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -4 (c) 0.4 (d) -4\/5 (e) -174\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -444 + 446.97. Let y = 3 - p. Let q = 0.0256 - y. Round q to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - k = 4*k + 10. Solve -k*q = -73 + 58 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Suppose -c = -d*c. Let j(n) = n - 4. Calculate j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 97, -3, 7, -2\/9 in decreasing order.\nAnswer: 97, 7, 4, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 5 + (0 - 1 - 1)*(4 + 3 - 6))*(6*s - 6*s - 2*s**4) + s**4 - 2*s**4 + 4*s**4.\nAnswer: 13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 25*r**2 + 212*r**2 - 76*r**2 + 18.\nAnswer: 111*r**2 + 2*r + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*g**4 + 1807775*g**3*r**3 - 3824*g**2*r**3 + 18852*g*r**3 wrt g.\nAnswer: 696*g + 10846650*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 7. Let v be z(6). Let q be 1*v*1\/2. Which is the nearest to -1? (a) 2 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 909 = -3*s, 586 = 3*s - o - 335. Let h = -975 + s. Let f = 1214 + h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/9 - (3 + 14\/(-6)). Suppose -6*y + 16*y - 20 = w. Let m(c) = -4*c + 5. Let o(h) = h - 1. Calculate y*o(b) + m(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 25, 5*k - i - 360 = 0. Suppose 4*v - 184 = -5*z - 0*v, 2*z + v - k = 0. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1736\/128 - (-226)\/(-3616)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:24 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471, 721, 765, 603, 235, -339?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21428515 - -21428513.2000026. Let n = -28 + 26.2. Let m = n - s. Round m to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67252173 a multiple of 813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 4. Let u be c(-2). Let r(p) = 5*p - 11*p + 13 - 7*p**3 + 8*p**2 + 6*p**3 - 21*p**u. Is r(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.9 times -0.2?\nAnswer: -4.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 - 37 - 53 - (-6 - (4 + -10)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:42 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -155343, -310679, -466015, -621351?\n\"Answer: -155336*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*v + 107*v + 544 = 0. Let r = v - -77. Let c = -39 - r. Calculate the remainder when 238 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -434 divided by 1213?\nAnswer: -434\/1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 2, h: 3, v: 5, s: 6}. Give prob of sequence vbh.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = -4*l. Let v = -2 - l. What is the second derivative of -2*a + a - 6*a**v + 5*a**4 wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630006 divided by -2561.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - b + 1299, -5*b - 472 = 4*v - 1507. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 15\/7 (b) 58413 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -11, 1, 3 in descending order.\nAnswer: 3, 1, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49786 or -5?\nAnswer: 49786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3663*p**3 - 299 + 484*p**3 - 1244 + 76 - 87 wrt p?\nAnswer: -9537*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3608 and 5225?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43107 = -21*b + 218623 + 32867. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101866 divided by 50933.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.0534s to milliseconds.\nAnswer: 89053.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 3. Let x be z(0). Suppose x*a = -15, 3*n + n - 36 = 4*a. Suppose -2*o = 5*u + 19, -7 = n*o + 4*u + 1. Solve o*i = -i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -21.404.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 0 - (-60 - -55) - -12) + (1 - 20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 + d - 33 + 0*d to a*d + w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-42)\/(-20)) - (-3 - 312\/8).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 1\/(2\/(-20)). Let t be 2\/v - 1524\/72. Let n = -11 - t. Solve m + m = n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/4)\/(2\/(42*-1)). Is 84 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*a = 3*a + 16, -r + 4*a = 21. Let c = -6 + 5. Sort r, c, 2 in ascending order.\nAnswer: r, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*(3\/(-3))\/(-2*(-11)\/22).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 6:31 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*x**3 - 5*x**2 - x**4 + 232*x**3 - 110*x**3 - x in the form n*x + m*x**3 + v*x**2 + u + o*x**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159497.5 litres to millilitres.\nAnswer: 159497500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaaa. What is prob of sequence kaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*4 + (sqrt(1700)*-3)**2.\nAnswer: 16*sqrt(17) + 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9398954 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5868\/23472)\/(-7*(-5)\/(-8))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652 - 96 = 4*o + 5*q, -4*o + 604 = -q. Solve 0 = -39*j + 46 + o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 369, -1, 4 in decreasing order.\nAnswer: 369, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306614 is divided by 153238?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*a + 76, -11 = -2*a - 2*m - 55. Let u be a - (3 - 3) - -3. Let l be (0 - (-3000000)\/9)*u. Round l to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22031 (base 5) to base 7.\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 9*o + 8. Let q be w(6). Let x be (-145)\/q - 2\/4. Solve 2*u + x = 2*v, -4*u = 5*v - 0 + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6988 (base 10) to base 6\nAnswer: -52204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-1 + -4 - (20 - 22))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 - 2547*w**2\/5 - 19716*w + 207324\/5.\nAnswer: 3*(w - 886)*(w - 2)*(w + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -264 and -2\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 19*a + 4. Calculate k(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10\/3 + -7\/2. Suppose -4*i = r + 2*r + 4, 5*i + 3*r + 5 = 0. What is the closest to i in -1\/4, 2\/7, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 - 3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -760 in -14\/5, 2, 3, 0.1?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 5*d - d + (3*d - 4*d - 5*d)*(2 + 1 - 4) - 86 + 8*d + 8 - 11*d.\nAnswer: 5*d - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-88)\/(-16) - 3\/6. Let g(q) = -7*q**2 + 2*q - 5. Suppose -c - 6 = -0*c. Let v(s) = -8*s**2 + 2*s - 6. Let r(w) = c*v(w) + 7*g(w). Give r(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74917*d + 502*d**2 + 74917*d + (2 - 4 + 1)*(d - d - d**2) - d**2 + 0*d**2 + 3*d**2)*(d - 3*d + 4*d).\nAnswer: 1010*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 12*y + 94. Let f be (-34987)\/2065 + 2\/(-35). Calculate the least common multiple of s(f) and 5 - 1\/(3\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22610 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170230791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.262458 to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) 3 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*-2*6\/4. Let z = 51 + -24. Let s be 1*3\/(z\/r). Which is the second smallest value? (a) -0.1 (b) s (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5 - (6 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - -196 - 166 - (-83 + -2 + 0).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*z + 268, 5*z - 728*f + 90 = -727*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/17 + 22795584*v\/17 + 64954831237632\/17 = 0?\nAnswer: -5698896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3682440 and 4825?\nAnswer: 18412200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 2d66?\nAnswer: -2d70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50916288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95404722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m**2 + 22*m - 1297. Calculate p(12).\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11, 3\/2, -30805, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/9)*b**(3\/10)*b**(3\/2)*b*b*b**(1\/5)*b*b assuming b is positive.\nAnswer: b**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 12*g**2 + 19*g - 21. What is m(13)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 11 + 24 - 16*n**2.\nAnswer: -16*n**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12971578*m*y - 8698367*y wrt m?\nAnswer: 12971578*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16319186 less than 68?\nAnswer: -16319118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 19. What is the remainder when y is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 6*b**4 - 3*b**3 - b**5 + (2*b**2 + 2*b**2 - 7*b**2)*(b**3 - b**3 - 2*b**3).\nAnswer: 5*b**5 - 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 1186, 5 in descending order.\nAnswer: 1186, 5, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**3 + 2*p**2 + 5*p. Let f(a) = a**3 - a**2 + a. Let h(j) = -j. Let r(v) = -f(v) - 2*h(v). Calculate -4*r(g) + x(g).\nAnswer: -2*g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -235*o + 235*o - 34*o**3 + (-2*o - 1 + 1 + (2 + 0 - 3)*(-3*o + 4*o - 5*o))*(8*o**2 - 40*o + 40*o) - 2*o**3 + 0 + 0.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Let t = n - -1.9. Let j = 34 + -33.6. Which is the nearest to t? (a) -0.5 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 4*z - 28. Does 17 divide g(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -256 in 4\/9, 1\/3, -0.21, 0.5, -0.5, 3\/16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v - 1. Let l be b(2). Let q = 202 + -98. Calculate the highest common factor of l and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 34.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 977*c - 1022*c + 655*c.\nAnswer: 610*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**5 + 2*j**4 - 4*j - 2. Let q(x) = -x**5 - 3*x**4 + 4*x + 3. Let t(c) = -3*k(c) - 2*q(c). Find the second derivative of t(m) wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 - m**2. Let b be q(-1). Let x be (b\/(-8))\/(2\/36). Is -5 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 7. Let y = -3 - x. Let n be (((-520)\/39)\/10)\/((-2)\/1). Which is the closest to n? (a) y (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a week in minutes?\nAnswer: 13860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 4*l - 435. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1158516)\/10727 + 2054\/19.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -19*i**3 - 3*i**2 - 3*i - 1. Let l be k(-1). Which is the second biggest value? (a) l (b) 1\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*h + 10, 5*f - 51 = 4*h - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758152*h + 758125*h + 405 = 0 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 32556*n. Let l(a) = 3*a - 82. What is l(m(t))?\nAnswer: 97668*t - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 21. Suppose v = -4*l + 46, 5*l = 4*v - 3*v + 53. Let a be u(l). Suppose a*p - 205 = 9*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/6*1016\/11430\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1442608692 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -20*g + 942. Let b be z(0). What is the highest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Let t be 6\/s - (-1 + 3). Suppose t = -0*y + 2*y. Solve y = -q + 5*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 43 = -181. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5041, 10085, 15145, 20221, 25313, 30421, 35545?\n\"Answer: 8*g**2 + 5020*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3 + 74 + -5)*(-4)\/(-4) and 84?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774959701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*q - 63050, 44*q + 4*a = 41*q + 37844. Calculate the highest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 4*q - 1. Let y = -36 - -33. Let m be j(y). Does 4 divide (-53)\/(-7) + (-8)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 4*g - 3. Let k(r) = -r**3 + 8*r**2 + r - 7. Let z be k(8). Let t be n(z). Which is bigger: t or -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k - 11. Determine g(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6481, 29295, 68447, 123937, 195765, 283931, 388435?\n\"Answer: 8169*p**2 - 1693*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**6\/j)\/(j**(-12)*j*j))\/((j*j**(4\/3))\/(((((j**(10\/7)\/j)\/j)\/j)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(212\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 16 = -a, 5*q - 3*q = 2*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 2*i - 7*i - 1 + 0*i.\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -0*u + 10*u. What is the smallest common multiple of u and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**4 - 365*d**3 + 52935*d**2 + 106945*d + 53650 = 0.\nAnswer: -145, -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:11 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 3, 2, -237, 0, 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 664957314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 6:22 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/11)\/(6\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/454 + 941\/4994. Is 55\/9 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 0*i**3 - 2*i**3)*(4*i - i - 4*i) + 405*i**4 + 57*i**4 - 79*i**4.\nAnswer: 385*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -2*g. Let u(a) = -a**3 - a**2 + 2*a. Let b be u(0). Solve k = 5*x - b*x + 14, 2*x + g = 2*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-1 + 0\/(-2)). Let t(k) be the third derivative of k**5\/12 + k**4\/24 + 2*k**3\/3 - 373*k**2. Let o(m) = -6*m**2 - m - 5. What is i*o(d) + 4*t(d)?\nAnswer: 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. What is the second derivative of 4*o**2 - 4*o**2 - 2*o - j*o**3 + 2*o**3 wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*b - 880 + 336 = -2824 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 7\/36 (c) -0.076\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddul when four letters picked without replacement from llldduulluullfde.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7. Solve m = 2*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 6977, 1\/2 in descending order.\nAnswer: 6977, 1\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukvnee. What is prob of picking 1 k and 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39651*g**2*h**3 + 8*g*h**3 - 4*g*h**2 + 45*h**3 wrt g.\nAnswer: -79302*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 7*u**2 - 14*u - 6. Let f(a) = -5*a**3 + 14*a**2 + 29*a + 12. Let m(j) = 3*f(j) + 7*g(j). Let d be m(-4). Put d, 2, 0.5 in decreasing order.\nAnswer: 2, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t**(2\/7)\/t)\/t))\/t)**(2\/93)\/((t\/(t\/(t**3*t))*t)\/(t\/t**(-1\/2))))\/(t**(-2)*t*(t**0*t)\/t*(t**1)**24) assuming t is positive.\nAnswer: t**(-11485\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*((-4)\/6 + 2)*39\/26. Let o = 2 + -1. Let m = -1 + o. Sort 0.2, 3, m, d.\nAnswer: d, m, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10)*(r*(r\/(((r**(1\/2)*r*r)\/r)\/r))\/r*r)\/r*(r*r**(1\/19)\/r)\/r**(-2\/29) assuming r is positive.\nAnswer: r**(-10335\/1102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -2020110?\nAnswer: 2020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-32012)\/(-8) - (-45)\/(-18)?\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -19*z**3\/3 - 25. Let o(k) = 2*k**2. What is o(v(y))?\nAnswer: 722*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -540000 rounded to the nearest 10000?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.1229886 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 13539057020905 and 2.\nAnswer: 13539057020907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 14514350?\nAnswer: -14514341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -333 + 339. Let g(n) be the second derivative of 0*n**5 + 0 - 1\/6*n**4 + 7*n + 1\/10*n**v + 0*n**2 + 0*n**3. Find the third derivative of g(k) wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13079 is divided by 397?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-27) + (-20656082)\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 2515178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 8 - 6, -o + 4*m = -1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 8:54 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3434933403 to the power of 1\/3, to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 10:56 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3\/5, -0.02 in decreasing order.\nAnswer: -0.02, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5626.1 + 5626. Let f = 2\/131 + 2336\/1441. Which is the closest to -2? (a) n (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 41 = -5*u + 27, 2*p - 12 = 5*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1924 and -99\/136318.\nAnswer: 10087532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d - 38. Let q be s(4). Let h be 0*q\/(-5 + 3). Suppose o - 3*g - 220 = h, -5*o - 2*g + 1218 - 186 = 0. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 1. Let j(q) = -65*q**3 + q + 9. Let f(a) = -4*d(a) + j(a). Is f(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**11*d)*d**(-6))\/(d**(-6\/5))**(-37) assuming d is positive.\nAnswer: d**(-312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + l. Let d(y) = -26*y**3 - 15*y - 26*y**2 + 10*y + 9*y**3. Let x(p) = -d(p) - 5*f(p). What is the third derivative of x(o) wrt o?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 669 = 4*s, -5*s = 6*g - 2*g - 2676. Let w = 1437 - g. Let c = -547 + w. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*t + 2 = -6*t, -4*t + 18 = -5*o. What is the least common multiple of 27 and 30\/o*(-1 - 0)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:19 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-50)\/(l**(-2\/7)\/(l*l*l**6\/l)) assuming l is positive.\nAnswer: l**(-299\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000389 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*l = l - 5, 5*y = -5*l + 15. Suppose y*u = m + 5*u - 150, 10 = 2*u. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -0.06074637054?\nAnswer: 1.06074637054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 12*y**2 + 21*y + 6. Let p be o(-10). Let h(d) = -10*d + 3. Let v(u) = -2 + 3 + 2111*u + 3 - 1064*u - 1058*u. Calculate p*h(c) + 3*v(c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*u - 14 = 3*s, 5*u + 5 = 0. Let z(m) = m**3 - 9*m**2 + 7*m - 3. Give z(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5174.\nAnswer: 2, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3024 = -24*m + 6*m. Suppose -3*t + 0*t + 3*p = -m, 15 = 5*p. What is the remainder when 168 is divided by t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280292 and 5372?\nAnswer: 4764964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 33 + 5*h + 5*h + 24.\nAnswer: 6*h - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14134440 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 32*h**2 + 4266*h + 170. What is k(-133)?\nAnswer: -1160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (179348\/(-1508) - -86) + 33.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/18*-16*(-465)\/40?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-6) - 3\/(-3). Is 0 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s = -j + 16, 0 = 4*j + 3*s - 64. Let q = 8 + j. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - -5. Suppose -t + 5*t = 16. Let s(m) = 2*m**2 - 9. Let l be s(t). What is the greatest common divisor of l and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Let k = -3 + w. Sort k, -2, 2.\nAnswer: -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -2*a**5\/45 + 2*a**3\/27 + 15. Solve w(z) = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4262 = 4*j, -6*j + 5*x = -8*j + 2146. Suppose 21*y = j + 696. Calculate the highest common divisor of 56 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 70.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + -3. Let m(j) = -10*j - 2. Let p be m(-5). Let g = f + p. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10517068\/(-2)*44\/(-5808). Let z = -39839 + f. What is the common denominator of z and -31\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**38\/(y**(-41)\/y*y))\/(y\/(y\/(y\/(y**(-11\/6)\/y)))*y**(-1\/27)) assuming y is positive.\nAnswer: y**(4061\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -3.6. Let s = -1.2 - -5.2. Which is the closest to -0.2? (a) t (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -2) + (1 - 1). Let n = -3.7 - -0.1. Let o = n - 0.4. Which is the biggest value? (a) -3 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 5*z + 13, 25 = -4*z + 2*z - 5*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70153 rounded to the nearest 100?\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**5 - 238*i**4 + 207*i**2 + 209314*i.\nAnswer: -40*i**3 - 2856*i**2 + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u - 17. Determine c(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1042550556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(67\/871*(-2)\/6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 1\/6*c**3 + 0 + 3*c + 3*c**2. Let h(a) = 0*a + 11 - 3*a + 5*a. What is -11*b(x) + 6*h(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 2, v: 2, p: 1, h: 2}. What is prob of picking 1 p and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2365 - 4343 = -524*u - 477 - 467 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*b - 3*v, -3*v - 17 = -b - 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-36) - (-2)\/(-9). Let n be 1*(2 - c) - 2. Suppose n = -5*j - 0 + 10. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 28. Let n be 14\/49 - s\/7. Suppose 37 = n*k - 2. What is the remainder when k is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-784))\/((-2)\/(-35))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*(sqrt(204) + sqrt(204)*2) - sqrt(204)))\/(sqrt(132)\/(-1*sqrt(891))).\nAnswer: 135*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p - 13. Let m be q(-7). Let y = 60 + m. Solve 6 = -v - y*f, 4*f + 1 = -v + 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*s - 38, -2*v = s - 3*v - 12. Let l = s - 5. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9011, 9080, 9149, 9218, 9287, 9356?\n\"Answer: 69*l + 8942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 + -85. Let w be 0 - ((-159)\/l - 13\/117). Suppose m - 22 = 26. What is the greatest common divisor of w and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398077 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 22857*w. Let v(d) = -11*d. Calculate q(v(r)).\nAnswer: -251427*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1825, -1869, -1913?\nAnswer: -1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 805033297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 728 - 694.856. Let l = -33 + p. What is l rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/4, 5, -13, 2.5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 462. Let p = o + 409. Which is the smallest value? (a) 0.032 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1687*r**2 + 70 wrt r?\nAnswer: 3374*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**3 - a. Let b be k(-1). Let u be 2 + (b - (3 + -1)). What is the closest to -1 in u, 5, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipiiipipiiiiiii. Give prob of sequence pi.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q**3 - q**2 - 3*q + 1. Let o be b(-2). Suppose o + 17 = i. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -4.3, -2\/15, 2\/19, 1166, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -235392*a**3 - 18*a**2 + 3372.\nAnswer: -1412352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18810, 37512, 56202, 74874, 93522, 112140, 130722?\n\"Answer: -j**3 + 18709*j + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2281 is divided by 163?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 0\/(2 - -1). Suppose -b*q - 1 + 17 = 0. Suppose -q*o = 2*o - 528. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 17*x**2 + 23*x - 25. Let r be 17 - (-2 + 6\/3). Let b be h(r). Let q = -207 + b. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let s be d(1). Let i(r) = 3*r**2 + 4*r - 4. Let g(n) = -3*n**2 - 5*n + 5. Let z(x) = 4*g(x) + 5*i(x). What is the units digit of z(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72313139 less than 3?\nAnswer: 72313142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (1186\/(-4))\/(103\/(-412))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4311 - 4330.806. Let p = -0.506 - s. Round p to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 32*v + 27*v + 10965 = 0, 0 = 3*b - 2*v - 8218. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1487 - -1481) + (-4 - 0 - (0 - -1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (sqrt(612) + sqrt(612) + -4*(-1 + sqrt(612)) - sqrt(612)) + (sqrt(612) - (1 + sqrt(612)) - sqrt(612)) + 1)*3.\nAnswer: -54*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g + 5*v = -107, 4*g + 4*v - 404 = 0. Let m = g - 44. What is the remainder when m is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 1. Let b(j) = -2 - 2*j - 3*j + 4*j. Let v(u) = -3*b(u) - 2*n(u). Let y be 1*(-2 - 0 - 3). Calculate v(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831973 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 divided by -4?\nAnswer: 109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a millimeter in micrometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*1\/(-1)*-2. What is the second derivative of 0*s - s - 2*s**n - 2 + 2 wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*m + 83*m - 43*m = 10212 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.15 - 39.112. Let h = r - 0.038. Let q = -0.039 - -0.339. What is the closest to 0.1 in q, 2\/5, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2, 11 in increasing order.\nAnswer: -3, -1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1331)*-4)**2.\nAnswer: 21296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -11*l**3 + 5*l**2 + 6*l - 10. Let n(u) = -7*u**3 + 3*u**2 + 4*u - 7. Determine -5*g(s) + 8*n(s).\nAnswer: -s**3 - s**2 + 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 30*m + 269. Is 53 a factor of f(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) - 9\/60. Let l = 11 + -7. Which is the nearest to -0.1? (a) q (b) l (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12646 - 12647. Which is greater: c or 1\/3887?\nAnswer: 1\/3887","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 + 211*j**2 + 71*j + 135. Calculate i(-70).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878307027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180425625 and 35875?\nAnswer: 1262979375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-113 - 322 + 808)*(-4 + 2 + 3)*(-5*z + 5*z + z) to the form k + f*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 5*t - 2*t**3 + (3*t - 3*t**2 - 3*t)*(-3 + 3 - 2*t) + (2*t**3 - 4*t + 4*t)*(-2 + 13 + 4).\nAnswer: 34*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-36.7138.\nAnswer: -14.68552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 5*g**2 - 5*g + 4. Let h be t(-4). Let k(r) = 4*r - 12. Let m be k(8). Calculate the highest common factor of m and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20740*c**2 + 20752*c**2 + 2 - 2 - 41486*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*1*6. Let w = -525 - -255. Let s = w + 273. Is y < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -225 - -475. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 257, 578, 1039?\nAnswer: 1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3*d + 2*d)*(-3 - 2 + 6)*(-188*d + 32*d**3 + 188*d).\nAnswer: -64*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1458433.451 + -1457173. Let z = 1261 - u. What is z rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 11:27 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225 - 231. Let r(v) = -177*v**3 - 7*v**2 - 5. Let a(g) = 178*g**3 + 9*g**2 + 6. Let b(f) = c*r(f) - 5*a(f). What is the third derivative of b(h) wrt h?\nAnswer: 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 655710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/12 and 149\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2558 is divided by 100.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -41*n - 20. Let h be t(-2). Suppose -v - 70 = -6*v - z, 0 = 4*v + 2*z - h. Find the common denominator of (-1287)\/(-54) + (0 - 2) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a**3 + 3*a**2 + 3. Suppose 29*h = 28*h + t + 8, t = 5*h - 20. Let l(x) = -35*x**3 + 8*x**2 + 8. Determine h*l(d) - 8*q(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 4. Let p(q) be the first derivative of q**3\/3 + q**2\/2 + q - 1. Let l be (-52)\/(-5) - (-2)\/(-5). Suppose 4*n + l = 2. Calculate n*p(g) - u(g).\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1537778, -6151121, -13840028, -24604499, -38444534, -55360133, -75351296?\n\"Answer: -1537782*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105\/4*i - 53\/2 + 1\/4*i**2 = 0 for i.\nAnswer: -106, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 + -47.1. Let n = 41 + t. Is n != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 3*v**2 + 3*v. Let m be p(2). Suppose -m = -2*f + 4*f. Let c(w) = -15*w - 14. Let y(z) = -5*z - 5. Let b(l) = 4*c(l) - 11*y(l). Calculate b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77.7907 - 1.6193. Round v to zero decimal places.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let q = -3290 + 13243\/4. Let f = q - 21. Is i < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.63 + -23. Let f = n - 16.63. Let y = f + 17.3. Which is greater: -0.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2021*n = 2026*n - 20. Let g(x) = x + 8. Let b be g(-6). Find the second derivative of 4*y - n*y + y**3 - 2*y - y**b + 4*y wrt y.\nAnswer: 6*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -16981, -4, -3, 0, -1 in descending order.\nAnswer: 9, 0, -1, -3, -4, -16981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(2*o**5 - o**5 + 8*o**5) - 4*o**5 + 75*o - 8*o**5 - 72*o.\nAnswer: -3*o**5 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + (sqrt(384) - (sqrt(384)*-2 - sqrt(384))*-1))\/(sqrt(72)*-6).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 73 = 265. Calculate the highest common divisor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 127211?\nAnswer: -127215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 0 (c) -10.758835 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 2*c + 11*c - 94 = -4*h + h, 0*c - 5*h - 34 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61184201?\nAnswer: 13, 523, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7391.\nAnswer: 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014904 rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126.6702 litres to millilitres.\nAnswer: 126670.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184.46 + 180.46. What is the nearest to 0.6 in -8\/35, g, 4?\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p + 1. Let d(x) be the second derivative of x**4\/4 + 74*x. Calculate l(d(w)).\nAnswer: -21*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23660 - 23661. Sort 541, n, -4, -3 in increasing order.\nAnswer: -4, -3, n, 541","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*l + 142, 6*n - n - 5*l - 270 = 0. Let x = 25 - n. Let c = x - -42. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -405, 1.3, 0.2, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 7*b**2 - b + 1. Let j be h(5). What is the remainder when 36 is divided by 1 + (-11)\/(33\/j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3753?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 5*b - 3*b)*(2 - 3 - 5*b**2 + 2*b**3 + 2*b**2).\nAnswer: 2*b**4 - 3*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*g**2\/8 + 521*g\/8 + 5\/2 = 0. Calculate g.\nAnswer: -4, -5\/129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -5*a + 300, -2*a + 4*f = -124. Let v = 485 + a. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 144 = 8*q + 3*x, 0 = q + 2*x - 36. Let g be 350994\/27 + 8\/q. What is g rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-239)\/27724)\/(3\/(-72)*3).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1517, -1526, -1509, -1454, -1349, -1182?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 234.5 - 234. Let g = 5.08 - 0.08. Which is the smallest value? (a) -3 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 - 17*t. Let u(d) = d**2 + 6*d. Let m(f) = -17*u(f) - 6*z(f). Let s(h) = 35*h. Give s(m(k)).\nAnswer: 35*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/23562 and -113\/140578746?\nAnswer: 421736238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32*(2 - (0 - -1)). Let o(b) = 2*b**2 - b - 5. Let a be o(4). Let f = c - a. What is the lowest common multiple of 2 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/7 + (-2926)\/(-539).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 544, 690, 838, 988, 1140, 1294, 1450?\nAnswer: 1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167092 and 592?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14240 - -104?\nAnswer: -14131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 8:31 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004596053 rounded to 5 dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2909 - 2819 = -5*d, 0 = -2*j + 5*d + 95 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n*p**2*z**2 + 1820401*n*p**2 + 3*p**2*z**2 + 38986883*p**2 wrt n.\nAnswer: p**2*z**2 + 1820401*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/33)\/((-177)\/(-59))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 2*b**2 - 12*b - 18. Determine d(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -21?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*w = -65*w - 2. Let p(i) = -14*i**3 + 2*i**2 + 2. Let z(y) = y**2 + 1. Determine w*z(a) - p(a).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24.435147 * -3\nAnswer: -73.305441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 47*b**2 - 51*b + 115. Give s(48).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 1\/3*y**3 + 28\/3 + 17\/3*y**2 + 44\/3*y = 0.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35708891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 + 4805*o**2 + 187*o**3 + 33*o**3 - 110*o**3 + 200*o**3.\nAnswer: 5*o**2*(o + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21 and -13.7315257811.\nAnswer: -34.7315257811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -6. Let q be s + 3 - 27 - -4. Is -27 equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 39*c + 106*c - 117*c - 13*c.\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from lhblltthllnhnhnllh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160190898*p**4 + 3*p**2 - 198*p - 33919.\nAnswer: -3844581552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(20\/3))\/(o**7\/o))**(-7\/4) assuming o is positive.\nAnswer: o**(245\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -436796, -873628, -1310460, -1747292, -2184124, -2620956?\n\"Answer: -436832*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.1 * 0.49.\nAnswer: 2.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122202000222111 + 1?\nAnswer: 1122202000222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-312)\/(-51) + (-2)\/17. Let z(i) = 2*i - 4. What is the remainder when 10 is divided by z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 1783509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 11*b**2 - 14*b + 6. Let n = 17 - 29. Let h be w(n). Calculate the highest common divisor of h and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(((sqrt(847) + 0)*4 + sqrt(847) - sqrt(847)) + sqrt(847)))**2.\nAnswer: 8470000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(1\/8)\/r*r)*r*r*r)\/(r\/r**(-2\/5))*(r\/(r**(-2)\/r)*r)\/r**(-5) assuming r is positive.\nAnswer: r**(499\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 12, -2*z + 0*z = f - 50. Round z to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 - 3*b + 2. Suppose u - 1 + 10 = 2*y, 0 = -2*y - 2*u - 6. Let v(n) = -13*n**3 - n**2 - 13*n + 9. Calculate y*v(h) - 9*f(h).\nAnswer: h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18 - 0 - -2 - (2 + 4). Put -4, j, 2 in descending order.\nAnswer: j, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 8*b - 3*b + 190, -384*s + 379*s + 165 = -4*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-210)*35)\/(105\/(-780)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 times -65.8?\nAnswer: 2566.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, f: 2, n: 3, w: 7}. What is prob of sequence wf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -216, -244, -272?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 1 - 4\/2. Suppose 16 = -v + r*c, 5*c = 4*v - v + 13. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 149589, 299252, 448915, 598578?\n\"Answer: 149663*o - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-13) + -22 - (2\/24)\/(7\/(-1336)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97.19 - 1.19. Let n = 96.00000033 - g. Round n to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24942350 divided by 542225\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8*1\/((-20)\/(-6))*(-9990)\/1332\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -23. Let o = -68 - z. Calculate the remainder when 26 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 307 - 322. Let k be 91\/(-245) + (9\/m)\/3. Which is the second biggest value? (a) 0.6 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23 - 21)*2\/(8\/(-178)). Is b*(-5)\/((-25)\/(-115)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d = 8135 + 8345. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 747 divided by -1.\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 641*l**5\/60 + 339*l**3\/2 - 610*l**2. Find the first derivative of q(p) wrt p.\nAnswer: 1282*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltuttutftffttlfftt. What is prob of picking 2 f and 1 l?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 1)*(2*a**2 + a**2 - 5*a**2) - 2*a**2 + 13 - 13 to m + v*a**2 + q*a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 10031.9177 to the nearest 100.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -48) + (2 + 6 + -3 - 7)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a38030 (base 12) to base 8.\nAnswer: -40440444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-2) - (48\/(-8) - -16). Let m be 1\/(l - (-6 + 6)). Let o = -0.16 - -0.2. Which is the nearest to o? (a) 1 (b) 2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1001 and 364?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 33*u**3 - 8*u**3 + 22*u**3)*(-3 + 1 - 1)*(0 + 3*u + 0).\nAnswer: 171*u**4 - 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 + 3*t - 6. Let n(h) = -2*h**2 + 4*h - 8. Give -4*m(x) + 3*n(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33426 divided by 4?\nAnswer: -16713\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 - -6016. Calculate the highest common factor of 85 and w.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19982 * 0.3\nAnswer: 5994.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, -296, -1280, -3262, -6590?\nAnswer: -11612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 553177490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 5)*(-2*t + 4*t + 0*t) + (-3 - 1 + 1)*(-1 - 1 - 2)*(-893 + 427 + 442)*(-t - 2*t + 2*t) to the form x + r*t and give r.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/4, -4, 0.22, 5, -0.02 in increasing order.\nAnswer: -4, -0.02, 0.22, 1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/7 + 478458*z**2\/7 - 4784501*z\/7 + 1435344 = 0 for z.\nAnswer: 3, 7, 478448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v + 8*v + 6*v + 17 - 21*v. Calculate c(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -5*l**3\/2 - 24*l + 6. Let m(b) = 4*b**2 - 2. Calculate a(m(r)).\nAnswer: -60*r**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(931) + 0).\nAnswer: 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 2*r - 15*r**5 + 19*r**5 + (-6*r**3 + 0*r**3 + 4*r**3)*(4*r**2 - r**2 - 2*r**2).\nAnswer: 2*r**5 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 28 = -0*a - k, -3*a = -2*k - 69. Suppose -51 = 22*f - 39*f. What is the units digit of (45\/a)\/(f\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 7*t - 84 = 0. Suppose -4*h - 4 = 4, -3*i + 4*h + 32 = 0. What is the units digit of i\/t - 44\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 29 = b + 4*r, 0 = -2*b + r - 11. Put b, -4, -2 in descending order.\nAnswer: -2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 2 - (1 + 0)\/((-29)\/1131).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83\/(996\/(-24)) + (-1 - 6) + -33.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 714599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2736)*-2)**2 - (sqrt(931) + 2)*2.\nAnswer: -14*sqrt(19) + 43772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 8:00 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 17 = -3*u, g = 5*u - 4 - 7. Let y(o) be the first derivative of 1 + 0*o**2 + 0*o + 2*o**3 - 15\/4*o**g. Suppose y(n) = 0. Calculate n.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8.5, -0.215.\nAnswer: -8.5, -1, -0.215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*n - 706*n - 19 = -5*u, 2*u = -3*n + 31 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0907879 - 1.3.\nAnswer: -1.2092121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11 = -4*l + 44, 0 = 3*l - 4*q - 46. What is the hundreds digit of 207\/2 + 49\/l + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1209\/7657)\/((-2)\/4)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -14 + 4. Suppose g = 3*j + a, -2*g + 3*j = -5 - 2. Suppose 5*m + 0*m = l - 8, g*l + 6 = -m. Is -3 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, -5\/4, -50?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -598602207 by -6.\nAnswer: 199534069\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239322.\nAnswer: 2, 3, 39887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -j + 4*j + 13, 5*x - j - 39 = 0. Suppose 0 = -2*p - k + 105, 205 = -4*p + x*p + 3*k. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465650*s**3 + 8*s - 33232?\nAnswer: -2793900*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 13. Let s be (-1)\/(-2) + (-36)\/d. Let a be (5 - s) + (-2 - 0). Sort -5, -1, a.\nAnswer: -5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4086 by -45.\nAnswer: -454\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvjdjjddd. Give prob of picking 1 d and 1 v.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {o: 3, n: 7, r: 3, g: 6}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8075, 15374, 22673, 29972, 37271, 44570?\nAnswer: 51869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + s - 4*s)*(-2 - 1 + 5)*(-6569*s**2 - 16818*s**2 + 1643*s**2) to m*s**2 + t*s**3 + c + a*s and give t.\nAnswer: 43488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qocvvkkqvecqc. Give prob of picking 1 q and 1 v.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11078*n**2 + 11081*n**2 + 11077*n**2 - 44297*n**2 + 11065*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g - 28696 - 1405 = 519*g - 4110 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 3*m**2 - 3*m**2 + m**2)*(2*m + 3*m - 2*m)*(-1 - 2 - 3)*(0 + 4 + 3).\nAnswer: -126*m**3 + 504*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -18725 = 20.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19180 and 2450?\nAnswer: 671300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173683 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 1, p: 2, k: 1, x: 1, y: 1}. Give prob of sequence xc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540393 is divided by 177.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -28) + (-34 - -15) + 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.9771307 to 0 dps.\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*d**3*l**2 + 5*d**3*l - 47*d**3 + d*l + 107998*l**2 wrt d?\nAnswer: -132*d*l**2 + 30*d*l - 282*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1942, 2210, 4468, 9712, 18938?\nAnswer: 33142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = -140. Let n be (4\/(-4) - -5) + v. Suppose n = 3*i - 28. Calculate the greatest common factor of i and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -7*j - z + 8, -z + 1 = 0. Which is the second biggest value? (a) -0.55 (b) j (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17263 less than or equal to 13408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 30*w - 78213*w**2 - 8 + 5*w**5 - 35*w**3 + 78158*w**2 + 15*w**4 + 48 = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23094523 rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 8*m. What is the nearest to 0 in m, -5, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37380726.\nAnswer: 2, 3, 397, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*o + 84. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - f - r - 35 = 0, 7*r - 3 = -4*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 31*h**2 - 5*h + 4. What are the prime factors of c(2)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k**4 - 9*k**2 + 0*k**3 - 1\/112*k**8 + 0 + 0*k + 3\/40*k**6 - 1\/10*k**5 + 0*k**7. Factor i(f).\nAnswer: -3*f**2*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*z + 54*z + 5*p = -75, 3*p = -3*z + 189. What is the least common multiple of z and 40?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 2:46 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 10*d + 12. Suppose -2*o + q + 8 = -12, 0 = -5*o - q + 43. Let z be m(o). What is the tens digit of 324\/16 - z\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 6*u. Which is the nearest to u? (a) 2\/3 (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25468.04nm to kilometers.\nAnswer: 0.00000002546804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**27\/f)**49)**(1\/34))**(-10) assuming f is positive.\nAnswer: f**(-6370\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*w + 1058 + 3264 = 518 - 383 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.9496404 take away 20?\nAnswer: -40.9496404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195152?\nAnswer: 2, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/38, -4, -0.4, 11\/2, -0.2, 7?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/17)*o**11)\/(o\/(o\/(o**(-2\/5)*o)))**(2\/19) assuming o is positive.\nAnswer: o**(17853\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2680405, 11 in decreasing order.\nAnswer: 11, 1, -2680405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 7:54 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6584526 and -59\/1039662.\nAnswer: 19753578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 + 1788 = 8*n. Calculate the common denominator of 35\/32 and (4\/(n\/18))\/(66\/(-76)).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 75, 9.\nAnswer: -4, 9, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -221835322, -443670644, -665505966, -887341288, -1109176610?\n\"Answer: -221835322*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-2\/5))\/b*b)\/((b**6*b)\/b))\/(b*b\/(b*b*b**(-5))*b\/b**1)*((b*b**(-2\/7)\/b)**(2\/27))**(-18) assuming b is positive.\nAnswer: b**(-968\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/6, -10\/11, -2, 0.1, -0.3, 7.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*i - 5*o - 59, 0 = -63*i + 59*i - o - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4\/9 + 4*s**3\/3 + 2*s**2 - 28*s\/9 = 0.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1302*q**4 + 41*q**3 - 1684585*q wrt q.\nAnswer: -15624*q**2 + 246*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y - 551 + 1050 = -22*y - 2441 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 287.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3660244, -3660253, -3660262?\nAnswer: -3660271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5363317 divided by -5\nAnswer: 5363317\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d + 6, 0 = -z + 5*d + 10. Suppose z = -5*b + 9*b - 92. Solve -x + 5*h + b = 0, -1 = -x - h - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 2*w**3\/3 + 3*w**2 - 8*w + 21. Calculate the remainder when 166 is divided by l(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4301 and 541805.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 1, -2\/11, 2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 254*n - 1754 = 252*n, -4*n = -36. Which is the third biggest value? (a) w (b) 5 (c) -0.2 (d) -0.4 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-14)\/6 - 12\/(-18). Solve 0 - 1\/4*v + 1\/4*v**d = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 10*s - 8 = 0. Solve -s*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/7*(2093\/(-23))\/13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5174 - 4*z - 5174.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 12 = 87 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.01*0.0243162.\nAnswer: -0.024559362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726322923?\nAnswer: 3, 26900849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3 + (-1 + 1 + 1)*(0 - 1 + 0) + 2 - 4 - 1)*(4*c**4 - c**4 - 2*c**4).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(9\/162). Suppose -60 = -k*i + 6*i. Solve -i = 5*l - l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 3:01 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.5, 1\/3.\nAnswer: -8, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-573*n**3 + 572*n**3 + 10*n**2 + 30*n**2)*(0 - 1 - 1)*(n**2 + 3*n - 3*n).\nAnswer: 2*n**5 - 80*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - -2 - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*a - 261*a - 2642 = 14456 for a.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 9*g**4\/4 + 3*g**2\/2 - 2*g + 11. Let r be q(1). Solve j = -j + r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001981 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 41 + 59. Factor -48 + 42*q**2 + 225 + 23 + 220*q + m*q**3 + 28*q**2.\nAnswer: 5*(q + 2)**2*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 12492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 57*h**2 + 321*h + 2129. Give z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223930.\nAnswer: 2, 5, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13690.8s?\nAnswer: 228.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1805061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*p + 5*p**2 - 46*p - 3*p**2 + 23*p - 2 to j*p**2 + d*p + g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -537 and 0.19.\nAnswer: -102.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.58 - 27. Let s = m - -0.22. Which is the second smallest value? (a) -4 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.63451 rounded to zero decimal places?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.52 (c) 2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 250?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -171 divided by -1327\nAnswer: 171\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erpp when four letters picked without replacement from errpeeererpuee.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 73025536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r. Let q(h) = -114419*h + 60. Give p(q(o)).\nAnswer: -343257*o + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -7358.\nAnswer: 32\/3679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 12 + 11 - 3*f)*(-8 - 5*f + 8).\nAnswer: 15*f**2 + 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71155.7 + 71156. Let d = -2\/71 - 33\/1349. What is the closest to 1 in f, -3\/4, d, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0)\/((-3)\/(-27)). Let l = o - 1. Suppose -520 = -l*b - 0*b. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -1 - (-4)\/(160\/45). Let b = -133\/104 + z. Sort b, 0, 5.\nAnswer: b, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 131*r**5 - 117*r**5 + 0*r**3 + 2*r**4)*(-5 + 3 + 4).\nAnswer: 28*r**5 + 4*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*f + 52*f + 61*f - 2.\nAnswer: -38*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - -2*sqrt(425) - (sqrt(68) + 0 + sqrt(68))**2.\nAnswer: -272 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -872 + 377. Let w be u\/22*(-4)\/6. Factor -3*q**3 + w*q - 2 - 3*q**2 + 4 - 11.\nAnswer: -3*(q - 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3832.8 and -198?\nAnswer: 4030.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*c + 3 = 2*y, 0 = 3*c - 5*y + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from midi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*q*t*x + q*t + 139*q*x - 40*q - 252*t*x + 14*t + 101*x - 2 wrt q?\nAnswer: 19*t*x + t + 139*x - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2\/3*f**4 - 12*f + 3\/2*f**3 + 0*f**2 + 0. Find the second derivative of k(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -12. Suppose -w*b = -b - 174. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -48, -185, -462, -927, -1628, -2613, -3930?\n\"Answer: -8*o**3 + 2*o**2 + 5*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104691762.\nAnswer: 2, 3, 7, 830887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2e5 (base 15) to base 5\nAnswer: -10130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruvxxxzvxuvh. Give prob of sequence hzxx.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -130*q - 122. Is m(-9) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 547 + -349. Calculate the highest common divisor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60*(-15)\/(-60) + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:25 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.01 - 3. Let k = -57.3 - -61.3. Which is the second smallest value? (a) u (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2970\nAnswer: -1\/594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 567920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -3*q, 4 = 5*q - t - 9. Let v = 16.01 + -16. Let d = v - 1.01. Which is the nearest to d? (a) -5 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 20 + 20)*(-2*t + 7*t - 3*t) + 3679*t**3 - 3679*t**3 + 191*t**4.\nAnswer: 199*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173595 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 8. Let m(u) = -u**3 - 8*u**2 - 7*u - 7. Let l be m(-7). Let k be v(l). Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 199.95 and -30.\nAnswer: 169.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(20) + -1*sqrt(1620))*6)\/(sqrt(80)\/(-3*sqrt(968) + sqrt(8))).\nAnswer: 1536*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 289*c**2\/5 - 67354*c\/5 + 3924361\/5.\nAnswer: (17*c - 1981)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, 2\/5, -103\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1651840\/11 or -150167?\nAnswer: -150167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - q = -289, -5*q + 700 = -5*t - 7*q. Let d = -92 - t. Suppose -p - 39 = -4*p - 3*x, 4*p - d = -3*x. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7631490*y**3 + 4065*y**2 - 7631492*y**3 - 4065*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2558*i - 2708927. What is v(-1059)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2080?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 3231422141?\nAnswer: 3231422134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1)*t*t**(-3))\/(t**41)**(-1\/20) assuming t is positive.\nAnswer: t**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -v + 4*v - 14, 5*v - 21 = 4*n. Suppose v*k + 20 = 0, -3*y + 5*k + 25 = -2*y. Is 5 a factor of ((-20)\/7)\/(y\/(-35))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g + 1807750 = 39*g - 30*g. Which is smaller: 25824 or g?\nAnswer: 25824","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 418?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2306 is divided by 74?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 1. Suppose 5*i = 3*i - 14. Let s(a) = -a - a + 21 - 20. Give i*s(f) + 6*p(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -36*j**5\/5 - 48*j**4\/5 + 16*j**3 + 8*j**2 - 44*j\/5 + 8\/5 = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 147 = v + 139, -3*m + 4*v - 27 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/42)\/(84\/(-63))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80131\/9462 - 791\/83. Calculate the common denominator of -103\/60 and o.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/7 + 15391*w**2\/7 - 57209599*w\/7 - 15605828895\/7.\nAnswer: -(w - 7823)**2*(w + 255)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/(-6)*(-339)\/4294?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243155.\nAnswer: 5, 11, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220000102100202 - -22?\nAnswer: -220000102100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - 48 - (-4 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36803 * 0.1.\nAnswer: -3680.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 - (12 + -10 + (-7 - -1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6305568 divided by 2?\nAnswer: -3152784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/31 + 102\/155. Let i(l) = -l**3 + 159*l**2 - 1100*l + 5471. Let m be i(152). Sort o, 6, m in increasing order.\nAnswer: m, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -100*b**2. Let o(w) = 3*w. Determine j(o(t)).\nAnswer: -900*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:04 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -20 + -3 + (-6)\/(-2). Let n be (-1)\/(15\/(-18)*(-6)\/w). Solve -5*y - 2*s - 18 = 0, -7 = 3*y - n*s - 17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -3. Let x(j) = j**2 - 6*j + 4. What is x(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 238 - 166. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176372?\nAnswer: 2, 7, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + (-5)\/(-2))*0 + 2. Find the third derivative of 26*m**2 + 24 - 41*m**4 - m + t*m**3 - 24 wrt m.\nAnswer: -984*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10350633, 10350611, 10350579, 10350537, 10350485, 10350423, 10350351?\nAnswer: 10350269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*o - 793, -10*a + 9*a + 318 = 2*o. List the prime factors of (7 - 3 - 4) + o + 1.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247518*r**2 + 247518*r**2 + 284*r**3.\nAnswer: 284*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 4693.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 181) + 2*-2. Let i = g + 189. Solve 0 = 4*b - q + 5 - 0, b - 4 = -i*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 74*q - 669. Let b(o) = 25*o - 243. Let n(u) = 17*b(u) - 6*h(u). Determine n(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 5. Let d be l(-4). Suppose -g + d = -1. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 16 = -5*h. Let w = -35.8 - -35.5. What is the nearest to 1 in h, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18201, -0.4, -1 in ascending order.\nAnswer: -1, -0.4, 18201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = 56*u + 533 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35964706 and 98?\nAnswer: 1762270594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 42*m**3 - 1. Give z(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 20. What is the closest to -2\/13 in 2\/3, 3, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -117 (b) -0.2 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, j: 8, t: 1, a: 5}. Give prob of picking 1 t and 1 j.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -407 - 993. Let v be (160\/c)\/((-1)\/(-5)*1). Solve -5*w + w - v = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1)*x)**(10\/11)\/(x*x**(-2\/5)\/x)**33 assuming x is positive.\nAnswer: x**(776\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 17 = 7*h. Let j(o) = 2*o**2 - 4*o + 2. Let b be j(h). Solve 0 = b*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 57 = z, -z + 0*t + 2*t + 64 = 0. Let o = -44 + z. Let p = 221 + -156. Calculate the remainder when p is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l*l**(-3\/4))*l*l))\/l**(-1\/8))\/(l**(-4\/7)\/l**6) assuming l is positive.\nAnswer: l**(221\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423749419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(65)*2*2)\/(sqrt(240)\/sqrt(3)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1065*m**2*y**3 - 3*m**2*y - 74*m*y - y**2 wrt y?\nAnswer: 6390*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2379677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17758 - 17758.0000077086. What is x rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486630 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.1, -2\/3, 2, 7, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -23. Let n be (2\/a)\/(38\/(-57)). What is the nearest to 11 in n, -0.4, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.0831 plus -0.483?\nAnswer: 9.6001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(2*z**2 - 2*z + 1 + 2*z).\nAnswer: 6*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-5) - 2)\/1. Let b = -46.28 + 4.18. Let o = b + 38.1. What is the third biggest value in 9, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 1, 67, -1.\nAnswer: -2, -1, 1, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29601175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*k + 243*k**3 - 236*k**3 - k**4 - k**2 + 0*k**2 + 2*k**2 to c*k**3 + s + f*k**2 + d*k + y*k**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 5*m**2 - m + 4. Suppose -3*t + 6*w - 9*w = -18, 4*t = 4*w. Let z(s) = -s**2 + s - 2. Let q(i) = t*z(i) + h(i). Give q(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -121, 2, -5.1, 1\/7?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrrrrrrrrrrmrmrpmrmp. Give prob of picking 2 r, 1 m, and 1 p.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*j - 2*s + 1, -6 = j - 2*s. Let o be (2\/(-1))\/(3 + j). Let n(q) = -q - 2 + 2*q + 0*q + 4*q - 2*q**o. Give n(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6243 is divided by 2065?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.767 rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 11*y**2 - 27*y + 9. Let i be q(3). Solve i = -o - 0 - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/2340 and -161\/8283990?\nAnswer: 49703940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11143503 is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1694a615 - 1?\nAnswer: 1694a614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103079, -99498, -95905, -92294, -88659?\nAnswer: -84994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 5*d - 1. Let r(q) = -2*q**2 + 9*q - 2. What is 3*r(b) - 5*y(b)?\nAnswer: -b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.244 or 2\/5?\nAnswer: 0.244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359667 is divided by 110?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, f: 4, x: 2, y: 1}. Give prob of picking 1 x and 1 k.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -483232, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 185\/((-212750)\/92)*55\/4\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -1\/30*d**4 + 4\/5*d**2 + 0 - 7*d + 1\/5*d**3. Factor f(p).\nAnswer: -2*(p - 4)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 0, -2, -162, 5.\nAnswer: -162, -2, -1, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26486 + -14829. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813 is divided by 112?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 0*j + 9*a - 4 = 0, j - 5*a + 3*a = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 3*s - s)*(2 - 3 - 2) - s - 2*s + 5*s + 2 - 2 - s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (-13 - -8) - (4 + 8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010001 (base 2) to base 6.\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 + 0.67. Let g = d + -0.9. Let k = 119.4 + -119. Sort k, g, -0.2, 5 in ascending order.\nAnswer: -0.2, g, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 134. Let p be b(-23). Suppose 0 = -p*l + 2*t + 546, 288 = 2*l + 5*t - 3*t. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 25*g + 51*g + 3 + 29*g - 124*g + 22*g. Let j(f) = -7*f - 7. Suppose 2*x + 8 = 6*x. What is x*j(o) + 5*c(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10*p = 45. Calculate the highest common divisor of p and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.088724ng in tonnes?\nAnswer: 0.000000000000008088724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.4 - 120.4. Let l = y - -105.000109. What is l rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149298, -298658, -448088, -597594, -747182, -896858?\nAnswer: -1046628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000082029682 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 4*q)*(-3 - q**3 + 3) + (-2*q**2 - q**3 + 2*q**2)*(-1 + 1 + 2*q) - 23*q**4 + 15*q**4 + 18*q**4.\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**4 + 2*v**3 - 2*v + 7. Let c(j) = -j**3 + j + 1. Let l(b) = 2*c(b) + d(b). Differentiate l(y) wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 294*m**5\/5 - 3766*m**4\/5 + 3622*m**3\/3 - 5942*m**2\/15 - 1664*m\/15 - 88\/15 = 0.\nAnswer: -2\/21, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 0 + 0 + 2*t**2. Let i = -132 - -199. Let f(d) = -67 + i - d**2. Give b(f(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75477593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 119318 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 10*l + 15. Calculate o(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from zzuzuzhhhzzuu?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 40*s - 34. Let j be o(19). Let i(l) = 5*l**2 + 10*l + 40. Let d be i(0). Solve 0 = j*m + 6*m + d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 6, 3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 9*j - 3. Let p be r(5). Suppose n = 2*y - 4*n + 2, -y + p = 2*n. Let c(w) = -w - w - y*w**2 - w**2 - 1. Calculate c(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 10256?\nAnswer: 194864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-25) - (-18)\/5. Let c(z) = -z + 6*z - f*z + 12. What is the lowest common multiple of c(0) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/9*v**4 - 92\/9*v**3 - 94\/9*v**2 + 0*v.\nAnswer: 2*v**2*(v - 47)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/1*0\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/((-19250)\/(-539)) - 4\/1?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 50. Let c = 89 - 37. Let j be c\/14 + 2\/7. Solve 3*f + 5*b = 3, -d*f - j*b - 3 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 1 (c) 0.5 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2113 + 2023?\nAnswer: 10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 10:27 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 5*i + 22, -585*i + 33 = 18*p - 586*i + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 293*y - 1747*y + 18488 - 149*y - 18488 in the form p + d*y and give d.\nAnswer: -1603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 6)*(1 + 2*i - 1) + 4*i - 4*i - 3*i - 1 as t*i + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -792000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 25*c - 71. Let g be f(-21). Solve -g = -4*b + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32242 + -4020?\nAnswer: -41312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + (sqrt(76) + sqrt(76) + sqrt(76) + (sqrt(76) - 1*sqrt(76))*-2 + sqrt(76) - sqrt(76)) + 3 + -2)**2 + 5.\nAnswer: -36*sqrt(19) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -34*g**3 - 2*g**2 + 1. Give t(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31766, -31765, -31764, -31763?\nAnswer: -31762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8*-2*12. Suppose -y = 2*p - 3*v, 0*v - 12 = 4*p + 4*v. Let d be (0 - (-2)\/(-1)) + 1. Is p greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/876 and -101\/10?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s. Let c(b) = -b**2 - 1271*b. Determine n(c(v)).\nAnswer: 4*v**2 + 5084*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.74 - -3.74. What is the second biggest value in -2\/3, 0.4, i, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/24)\/((-720)\/(-768)) + 93\/(-27). Suppose 6*n = 2*n - 4. Let w(d) = 3*d**2 + 2*d + 1. Let t be w(n). Put -4, i, t, 5 in descending order.\nAnswer: 5, t, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69, -52, -37, -24?\n\"Answer: -z**2 + 20*z - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 10*p + 6. Let g be o(-10). Solve -f - f = -g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 221 = -193. List the prime factors of c.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*c**3*s*x**3 + c**3*s*x**2 + 14*c**3*x**3 + 2*c**3*x - 2*c**3 + 208*c**2*s - 6*c**2*x**2 + 10*s*x**3 wrt x?\nAnswer: 414*c**3*s + 84*c**3 + 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12565 is divided by 162?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - s + 95. Let m be (0 - 0)\/(1 + -3 + 0). What are the prime factors of i(m)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j + 207. Give q(-6).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-1)\/(-25)*5) - 3. Solve -2*b = -5*s + c, 0 = -3*s + 3 - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, u: 3}. Give prob of sequence uuw.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1335*w**4 - 463*w**3 + 5945*w**2 - 438*w + 1?\nAnswer: -32040*w - 2778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-5) + 2*3. Suppose u - 2*u = q. Let h be (-8)\/u*(-15)\/(-6). What is the greatest common divisor of 40 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Suppose 5 = -5*a - 10. Let b be 1*a\/i - -3. Solve b*r + 2*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-1 + -93 - (68 + -79)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 1832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 54*j + 8 - 35*j + 25*j - 5*j**2 in the form u*j**2 + f*j + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 18. Let v(c) = -c + 1. Let q(w) = 4*w - 12. Let p(a) = -q(a) - 3*v(a). What are the prime factors of p(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 2*j = -10*q - 572, 0 = 5*q - 4*j + 1457. Let n = q + 289. Solve 6*f - 2*f - 12 = n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00465091051 to 5 decimal places.\nAnswer: -0.00465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -731?\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 2*i - 1 + i**2 + 2*i - 3*i. Let v be (-4)\/(-10) - (-36)\/(-15). Let x be p(v). Calculate the highest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2216456.75 + -0.0495.\nAnswer: -2216456.7995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -6.28624552 rounded to two dps?\nAnswer: -6.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260036 and 597380.\nAnswer: 22103060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -9, 4, 1\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2220310031 - 1221?\nAnswer: -2220311312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - t + 13. Let l be m(0). Let n = l + -11. Suppose 4 = -n*b, -4*o + b + 132 = o. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -66. Let k = u + -24. What is the closest to 2 in 0.4, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) -17 (c) -1.61 (d) -0.1 (e) -18 (f) -1\/6 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.34, 1, -61\/4, -1\/4, 0.5.\nAnswer: -61\/4, -1\/4, 0.34, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 238, -4, -5 in descending order.\nAnswer: 238, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -47667 less than -403.7766?\nAnswer: 47263.2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4403 divided by 3?\nAnswer: 4403\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s - 1. Let k(d) = -d**2 + d + 2. Let q(a) = k(a) - t(a). Give q(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkex when four letters picked without replacement from {k: 1, t: 5, e: 1, w: 6, x: 6}.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-35))\/(-14 + (-345)\/(-25)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 17 + 23 = 0. Suppose -u = -3*c - 2*c. Let x(j) = -c*j - 9 + 9. Let h(q) = 3*q**2. What is h(x(r))?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -981617 (base 10) in base 14?\nAnswer: -1b7a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000043422 to seven dps.\nAnswer: 0.0000434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 213\/28?\nAnswer: 213\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61, -117, -173?\n\"Answer: -56*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and (-13)\/(143\/(-6336)) + (-8)\/(-4)?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2. Let n(h) = -14154*h - 16. What is n(r(x))?\nAnswer: 28308*x**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/13796 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12781669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13 + 0*y**3 + 14*y - 4*y**2 + 16*y**3 - 15*y**3. What are the prime factors of q(6)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/887679 and 19\/7306.\nAnswer: 1775358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 2. Suppose 0*f - f = -2*p + 1, 5*f = -4*p + 9. Let x = n - f. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 48. Suppose -36 = -4*l - 3*t + 4, -l = -2*t + y. Let i = -11 - -31. Calculate the remainder when i is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65\/11 + -173\/33. Which is the closest to t? (a) -0.1 (b) -2\/13 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from vvqvvdqqjvdjq.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(34)*2)\/(sqrt(24)\/sqrt(48)))**2 + (sqrt(153)*1)**2 + 2 + (sqrt(153) + -2)*-3.\nAnswer: -73*sqrt(17) + 1265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -204, 2, 0.9, -5, 0.15, -2, -1 in decreasing order.\nAnswer: 2, 0.9, 0.15, -1, -2, -5, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404*t + 30769 + 13493 = -14706 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 37. Let m be u(-20). What is the remainder when (m - (-15)\/6)*-16 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from alalllallaaaa.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3208253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.9 + -46446565?\nAnswer: -46446614.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -6*c + 3. Let x be -100 - (0 + (-1 - c)). Let n = x - -237. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.0666841 times 0.3\nAnswer: -3.02000523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 234826 = -3*m + 1734820, 4*m = -i - 750008. What is i rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/5)*n**2\/n)\/((n\/n**(-2\/7))\/n**6)*n**(5\/2)\/(n\/n**2)*(n*(n**(-3\/7)\/n)\/n)\/(n\/((n**(2\/19)\/n)\/n)) assuming n is positive.\nAnswer: n**(5707\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9098026?\nAnswer: 2, 7, 17, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 286 + -146. Let f = 140 - b. Which is greater: -2\/25 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmllmlllmml. What is prob of picking 4 l?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 3. Let s be z(-5). Suppose s*d = -2*d - 36. Let p = d - -27. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 456\/16*(-132)\/(-18). Calculate the greatest common factor of 231 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237545 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*y = 158, -2*y - 11 = 3*h + 104. Let p = 13 + h. Let q = -8 - p. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 85 = -440. What is the common denominator of (-2)\/(-4) - 138\/16 and (7\/50)\/(6\/o)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -744 - -739. Let c = 1 + 0. Let r be (c\/3)\/((-5)\/(-60)). Put r, 1, j in ascending order.\nAnswer: j, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -6)*(-2)\/3. Solve -2*x - x = -g*p + 1, 0 = -5*p - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1000001101?\nAnswer: 1000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45909160 divided by 1030.\nAnswer: -44572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 9, -4.\nAnswer: -4, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -105. What is the highest common divisor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 5*z + 42 = 0. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.27388 to 2 dps.\nAnswer: -2.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35976671 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0*f**2 + f + 179\/6*f**3 + 0. Let m(n) = -2*n**2. Give m(d(l)).\nAnswer: -64082*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 325289191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/17 + 10*s\/17 - 48\/17 = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67053099, -67053101, -67053103, -67053105, -67053107, -67053109?\nAnswer: -67053111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 6:03 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6858515737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3423 - 3422.8552. What is q rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -6. Suppose u = 3*j + 9*j. Solve 3*c = -j*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10844 is divided by 247?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {d: 1, l: 7, p: 3, c: 2, x: 3, h: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yykkkkykyk. What is prob of sequence kyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*y - 208*y = 30916 - 5539 + 22176 for y.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 6:14 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 7*s**2 - 7*s + 8. Let g be f(-8). Suppose 1010 = 5*p - 5*a, 2*p + g*a - 406 = a. Let b = 421 - p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 15*x + 12.\nAnswer: 3*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316*-334.\nAnswer: 105544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1161*m**2 - 20*m. Suppose -16 = -2*q - s, 37 = 4*q - s - 7. Let a be g(q). Round a to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 12*s - 15. Let y be u(-13). What is the closest to -4 in 2, y, 2\/9, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959?\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-220)\/(-39270)*-51)\/((-4)\/294*6\/(-8)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 2*k**2 + 3*k)*(4*k**2 + 0*k**2 - 2*k**2) - 4087*k**3 + 4087*k**3 + 16*k**4 + 8 as x*k**4 + h + i*k + s*k**2 + p*k**3 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2782600.69 rounded to the nearest 100?\nAnswer: -2782600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4, -3*d - 121 = 2*p - 299. What is the least common multiple of 10 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22922870 and 1935?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6*m = 6. Let f be (-12)\/((-9)\/m)*-1. Let u = f + 18. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p - 2*p + 4*p)*(-4 + 3*p + 3*p - 4*p) in the form j*p**2 + t*p + z and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2042ba (base 12) to base 14\nAnswer: d207c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -3)*(-5)\/(-1). Let a(l) = -3*l - 5 + 1 + u*l. Let g be a(3). Calculate the greatest common divisor of g and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21202915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-213)\/6)\/(1220\/(-8)). Let a = 2\/61 - n. What is the third biggest value in 0.4, a, 4\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.193312 rounded to one decimal place?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 8*c - 368 = 640. Solve -8*l = l + c for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 13*h + 66. Calculate n(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejggewuw. Give prob of picking 1 w and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -259040 + -0.186.\nAnswer: -259040.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 18 = -525*y + 523*y, -3*y + 3 = -b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 18 - 9 - 188*m - 189*m to the form g + a*m and give a.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (920\/(-3))\/((-48)\/648)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -28*u - 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55\/236 - -1\/59. Sort -0.2, p, -3\/2 in decreasing order.\nAnswer: p, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/10)\/(-10)*1\/(5\/(880\/16)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -50. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 61063692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -1.7.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/20)\/((-810)\/1800)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 4*f + f + 3*m, -2*f + 3*m = -49. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8764 and -151\/477012.\nAnswer: 3339084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1. Let f = 3 - d. Find the third derivative of 5*u**2 - 3*u**2 - u**6 - 6*u**f wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v + 9. Let w be b(-3). Let l = w + 11. Calculate the remainder when 14 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.5248 hours in nanoseconds?\nAnswer: 779489280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.23 + -1.3. Let v = y - -0.79. Round v to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 4:52 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 28754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 33*n**6\/40 + 7*n**5\/4 - 128*n**2. Find the third derivative of t(s) wrt s.\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 36. Let f be 24\/5 + z\/(-15). Factor -2*c**4 - 10*c**3 + 8*c**3 - 16*c - 10*c**3 - 6 - 24*c**2 - f*c.\nAnswer: -2*(c + 1)**3*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -15, 1\/4, 3, 0.06, -3 in descending order.\nAnswer: 7, 3, 1\/4, 0.06, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*l**2 + 8*l**2 - 10*l**2)*(3 + 2*l - 3).\nAnswer: 42*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/40 + 13*w**5\/20 + 51*w**4\/8 + 63*w**3\/2 - 52*w**2. Factor m(y).\nAnswer: 3*(y + 3)**2*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0.3. Let w = 2577 + -2576.6. Which is the third smallest value? (a) 0.3 (b) w (c) x (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408229?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 o, and 1 x when three letters picked without replacement from kejjkox.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2300002 + ((-2)\/(-1) - 4). What is l rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + (-235)\/10. Let v = -14 - u. Suppose -5*c + 2*c + 18 = 0. What is the least common multiple of v and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) 5 (b) 45 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (13420\/(-680) - -36 - (-4)\/17)*4\/(-10)\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v + v - 24*v to the form w + l*v and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 126 = -7*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, 1436 in descending order.\nAnswer: 1436, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 538 and 19368?\nAnswer: 19368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*r**3*z**2 + r**3*z - 4*r**2*y**3*z**2 - r**2*y**3*z + 31*r**2*y**2*z + 2*y**3 wrt z.\nAnswer: -62*r**3 - 8*r**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - k + 12 = -5*k, 3*v - 16 = 5*k. Let x be (-3)\/(-2)*(1 - -1). Factor 2*w**2 - 2*w**5 - 2*w**2 + v*w**x.\nAnswer: -2*w**3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-2) - (-1242)\/(-162) and -139\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 less than or equal to -986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - -9. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (8 - 9)) + (13 - (-4 + 2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 715, 2442, 5807, 11356?\nAnswer: 19635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 19755217, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*y - 5403 = 0, -a + 1250 + 104 = 2*y. Suppose -17 = -5*r + 3, 4*d - r = a. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.06 - 6.06. Which is the closest to g? (a) -0.4 (b) -5 (c) 10 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a. Let n(d) = d. Let x(k) = 2*n(k) + w(k). Let z(c) = 2*c. Give z(x(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 0 + -2 + sqrt(1573) + 1 + -4)*4)**2 - (sqrt(468)*-2*4 - (-1*sqrt(637) - sqrt(637) - 2*sqrt(39)\/sqrt(3))).\nAnswer: -3488*sqrt(13) + 101072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 349*a - 10448. Give n(30).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, -4, -3 in increasing order.\nAnswer: -80, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.4 (b) -89\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 162465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148\/24 + 2\/12 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 250575996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:37 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 627\/108 + 9 + -14 and 7\/12*3910\/1309.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 114.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 430 - 357. Let w = t - 75. Let l = 1618\/9 + -180. What is the third smallest value in -0.2, l, 0.5, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*f + f**3 - 53*f)*(-9 - 10 + 140*f**2 - 9 + 28).\nAnswer: 140*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 13340 = -8510. Suppose o = -5*p + 4*m, -4*p - m = 2079 + 1396. What is the units digit of ((-6)\/3)\/(10\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h + 0 + 6\/5*h**5 - 78\/5*h**2 + 14\/5*h**4 - 42*h**3 = 0 for h.\nAnswer: -7, -1, 0, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrwz when four letters picked without replacement from {z: 8, h: 7, r: 3, w: 2}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37569 and 137753.\nAnswer: 413259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 d when four letters picked without replacement from {n: 3, d: 4, f: 6}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 0.485?\nAnswer: 2.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/5)\/c**8 assuming c is positive.\nAnswer: c**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265 - -256. Let a(z) = 4*z**2 - 8*z + 20. Is 16 a factor of a(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 6*p + 34 = 3*b, 0 = -4*p - 3*b + 154. Calculate the greatest common factor of 230 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d)**27\/(d**(-1)\/d*d)**(2\/55))\/((d**(2\/5)\/d)**(3\/17))**(-2\/37) assuming d is positive.\nAnswer: d**(187025\/6919)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1\/((12\/(-8))\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5580785?\nAnswer: 5, 7, 317, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-111\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g - 4 - 2*g**2 - g**3 - 5*g + 7. What is l(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - ((0 - -37) + 293 + -314).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) -9608525 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10982 minus 1?\nAnswer: -10983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1)*(5 + 40). Let m = 89 - c. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 30 = -4*i, 2*s + 16 = -0*i - 2*i. Let q be (-14)\/i - 2*1. Let t = 67 + -333\/5. Put 2\/7, q, t in decreasing order.\nAnswer: t, q, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:51 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v + 2. Let q be j(1). Let s(x) = -5*x**q + 51 - 4 - 47. Let f(w) = -36*w**2. What is f(s(a))?\nAnswer: -900*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -20*n + 17. Let z(m) = -7*m + 6. Suppose 1204*q = 1209*q + 30. Let i be (72\/(-2))\/(-2) - 1. What is i*z(f) + q*w(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -110295 to the nearest 1000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhv when three letters picked without replacement from {v: 6, w: 4, t: 3, h: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5727582024?\nAnswer: 2, 3, 238649251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:39 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 329173561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 + 213. Let h = g + -79.1. Let j = 23112 - 23112.4. Which is the closest to h? (a) 3\/5 (b) 3\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9031229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255 or -244?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*o - i, -3*o + o - 2*i = -8. Suppose -3*u = -3*z - 6, 10 = -4*z + 2. Suppose u = -h + o*h - 21. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45321 - -9018855\/199. Let d = i - 5181\/1592. Let o = 3241\/4 - 805. Find the common denominator of d and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 36*j - 5. Let q(a) = -a**3 - 8*a**2 - 3*a - 8. Let g be q(-8). Suppose 0 = -3*k + g + 2. Is b(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4880 (base 11) to base 2.\nAnswer: -100101010011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 34*t + 171, 11*q = -6*q + 16*q - 5*t - 26 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8850110 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttmmmttettettmmtmt. What is prob of picking 2 e?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -135. Suppose 3*n = -4*t + 57, 7*n - 2*n + 4*t = 87. Suppose -n = 5*s - 2*w - i, w = -2*s + 28. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-13)\/91 + 40830\/42 + 1 + -2 is divided by 145.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 20 = 5*w. Suppose 5*p = 3*p. Suppose p = 5*n, -3*i - 4*n + 30 = -7*n. Solve i = w*a + a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**2 - 5*h + 5. Calculate d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 117 = 14*f, 136*n - 2*f - 409 = 140*n - 429 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6819.2 decades?\nAnswer: 818304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1096 and 4.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 23 = 3*n, 5*o - 3*o = 4. Let p = -3 + n. Let j = 23 - 11. What is the lowest common multiple of j and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210112732 and 1?\nAnswer: 210112732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 14 - 2 + 1 - d. Let v be w(8). Let b = v + -3. Solve 0 = -3*z - b*z + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*((u**(-1\/4)\/u)\/u)\/u))\/u)**(25\/3))**14\/((u**(3\/2)*u\/u**0)\/(u**1*u*u*u**(-4))) assuming u is positive.\nAnswer: u**259","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2940 = -903*j - 1575 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Let a(s) = s - 6. Let m be a(8). Find the third derivative of 0*r**2 + r**m - 4*r**5 + 3*r**z wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + n + 40. What is l(-9)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 3 - 3)*(-9*a - a - 2*a) + (-2 + 4 + 0)*(-7 + 6*a**2 + 7).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10544820.\nAnswer: 2, 3, 5, 11, 13, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8ca (base 16) to base 14.\nAnswer: b6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 20\/3*i**3 + 0*i**2 + 0*i**4 - 27\/5*i**5 + 0*i + 34. What is the third derivative of o(y) wrt y?\nAnswer: -648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16*d - 39*d + 1.\nAnswer: -55*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71152?\nAnswer: 2, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6080 - -6090. Calculate the lowest common multiple of 168 and r.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9823885 times 5\nAnswer: 49119425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 4, -629, 0, -2 in increasing order.\nAnswer: -629, -33, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 2*h - h**3 - 4*h - h**3 - 7*h**2 + 10*h**2 in the form y*h**3 + l + s*h**4 + i*h + t*h**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/120 + d**5\/60 - d**4\/12 - 2*d**3\/3 + 20*d**2. Give n(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 203*c**2 - 207*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 37*o**2 - 28*o - 382. Determine u(38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135.9 - 136. Which is the second biggest value? (a) 0.5 (b) 0.2 (c) f (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -204439*s. Let b(t) = -2*t. What is a(b(v))?\nAnswer: 408878*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169695746?\nAnswer: 2, 11, 7713443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 9 + 0*d**3 + d**2 - 6 to the form m*d**3 + c*d + h + j*d**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -155785, 2 in descending order.\nAnswer: 2, -7, -155785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjhffvhmlmffjf. Give prob of picking 1 m, 1 j, and 1 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 931120\/9 at least 103459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 41*l**2 - 64*l - 190. What is a(39)?\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 109747803 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aauuuuafuufafaauu. What is prob of picking 1 f and 3 u?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-21*v + 509 - 509)*(5*v - v**2 - 5*v) - 2*v**3 - 3*v**3 + 3*v**3)*(-6 + 14 - 5 + 2*v) to the form k*v**4 + y*v**3 + z*v + g*v**2 + b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -15\/7, -1.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/2 - -89\/58. Let o = t - 61\/87. Which is the nearest to 1? (a) o (b) -10\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/4)\/k)\/k)**(-1\/6)\/(k*k**(-2\/11)*k*k\/k**4))**(-39) assuming k is positive.\nAnswer: k**(-5057\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277808.\nAnswer: 2, 97, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407370640?\nAnswer: 2, 5, 13, 1353241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 27 = -5*m - 2, -5*g - 25 = 0. Suppose 3*u + m*u + 24 = 0. Let w(i) = -2*i**2 + 3*i + 0*i**2 - i**3 + 2 - i**2. What is w(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0, -3\/64, -17.5?\nAnswer: -17.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**3)**(-6\/13))**(-1\/41))**(-46) assuming z is positive.\nAnswer: z**(-828\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 120*t. Let u(q) = 12*q. Calculate i(u(w)).\nAnswer: 1440*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/(a*a**(2\/13)))**(-14\/11)\/((a**(-2\/3))**27\/(a\/(a**(1\/2)*a)*a*((a*a*((a**1\/a)\/a)\/a)\/a)\/a*a)) assuming a is positive.\nAnswer: a**(2877\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*p - 22. Let c be (-60)\/p*(-8)\/(-10). What is the units digit of (21\/c)\/(3\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43c81 (base 16) in base 4?\nAnswer: 1003302001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4527, 4440, 4295, 4092, 3831?\nAnswer: 3512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11100000 (base 2) to base 13\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Let h(u) = u**2 - 7*u + 13. Let v(m) = m**2 - 6*m + 11. Let q(k) = 6*h(k) - 7*v(k). Let s be q(o). Sort -1, s, 3 in decreasing order.\nAnswer: 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 24082616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 25 = -2*b. Suppose 0 = f - 2*v - 6, 0 = -v - 4. Let a = 4 + f. Solve -3*u - 1 = -4*d + a, 2*d = -b*u - 31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 - -169. What is the second smallest value in 1\/4, -0.2, u, -21?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 27 = -93. Let n be ((-19848)\/69344)\/(b\/388). Let h = n - 4\/2167. What is the common denominator of h and 37\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 63 = -j. Solve -4*y + j = 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10022303 (base 4) to base 14.\nAnswer: -6319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222 - 101211012222022?\nAnswer: -101211020001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -5, -10 in ascending order.\nAnswer: -10, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 98*a - 455. Let q be r(-103). Solve 0 = -2*j + q*l - 65*l - 5, -5*j - 2*l = 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d + 19. Let p be j(-2). Let v(b) be the second derivative of -b**5\/10 - b**4\/4 + b**3\/3 - 3*b**2\/2 - b. What is the units digit of v(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650263?\nAnswer: 1650263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.405203 centuries?\nAnswer: 740.5203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -24*u**3 + u**2 - u - 5. Is y(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 10*x)*(0*x - x + 4*x)*(x**3 + 2*x**3 - 5*x**3) + (1 - 1 + 4*x**2)*(-2*x - 2*x**3 + 2*x).\nAnswer: -68*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 4*b**2 + 4*b + 7. Let z be l(5). Suppose 18 = z*s + s. Suppose 545 = 5*f - 4*o, s*f + o - 570 = f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 9*f**2 - 10*f - 9. Let x be b(14). Suppose 5*q + 3*w = 1863, 5*q + x = w + 2710. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 - 6\/(-21). Let n = -126 + 123.5. Let z = 16.5 + n. Which is the third biggest value? (a) -2\/5 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 10:45 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5102.667ug to kilograms.\nAnswer: 0.000005102667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (60\/80)\/((-342)\/(-48))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*x - 56960 + 47930 = 0 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 32*r**2 - 3390*r + 595. What is s(106)?\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366 + 481*j - 239*j - 247*j.\nAnswer: -5*j - 366","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 251847 * 0.1385\nAnswer: 34880.8095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 divided by 133?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221823*z + 40*z**2 - 221823*z.\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9867029.\nAnswer: 569, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -4 (b) -5 (c) -2\/3 (d) -0.2 (e) 4009\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.3 (c) 5 (d) -2\/19 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + (0 - 13) + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 j when three letters picked without replacement from fxgxxjgjgfhjfgfhgxgs.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5691690 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11\/5 (b) -0.4 (c) 6 (d) -5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*j - 5*a - 10, -j = 4*a + 8. Let f = j - 2. Suppose 4*z = 3*z + 3*x + f, 5*z = -x + 46. Solve 5*y + z = 4*o, 5*o + 4*y = -0 + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 13*s - 297. What is d(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -974693845 and -3711.\nAnswer: -974697556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -40, -39, -38?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 m, and 1 u when three letters picked without replacement from {u: 6, z: 1, s: 3, j: 2, b: 1, m: 2}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*z + 5*x, 5*z + 2*x - 28 = 3*z. Suppose -9*a = -z*a + 4. Solve -4*k = -4*h - a, 6*h + 4*k + 17 = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54.80904 + -61.895286. Let x = w + 5.18617. Let u = x + 1.9. What is u rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:01 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-2 - -2 - 4). Let -1\/5 + 1\/5*g**m + 1\/5*g - 1\/5*g**3 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 5*a**3 - 11*a**3 + 4*a**3 as y*a + w*a**2 + z + c*a**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*z + 33*z - 23 - 1098*z**2 + 1087*z**2 as i + s*z + o*z**2 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.835 rounded to one dp?\nAnswer: 21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w - 1. Suppose 3*u + p = -3*p, -u + 5*p + 19 = 0. Is i(u) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-21)*(s\/s**(3\/2)*s*s)\/(s\/(s*s**(-8))) assuming s is positive.\nAnswer: s**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 23 = 7. Suppose -w + 2*t = 3*w - 228, -t + 118 = 2*w. Suppose 0 = y + y - w. What is the remainder when y is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) + 2 + sqrt(1573) - sqrt(1573)) + -2 - (-4*sqrt(1573) + 0))*4)**2.\nAnswer: 629200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*h - 815 = 0, 5*v - 579 - 798 = -2*h. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 - 2*z - 2. Let a be j(-1). Let x be (3 + a + -3)*-1. Suppose 0*w = x*w + 3*s - 17, 0 = -w + 2*s + 5. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 0) + 20 + (-195 - -165)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10905*u**3 - 8563*u**3 - 2345*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(176))**2*4*1 - (5 + (sqrt(240)\/sqrt(5))**2).\nAnswer: -209\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1012, -2146, -3276, -4402?\n\"Answer: 2*x**2 - 1140*x + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*f**3 + 2*f**2 + 159*f - 13 wrt f.\nAnswer: -336*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.265 - 7.1. Let r = -0.12 - k. Round r to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 805 and 322.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209000 and 12749000?\nAnswer: 12749000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most as big as 161\/5837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k - 12*k - k to the form v + c*k and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 111 = 4*v, 3*y + 0*y = 5*v + 37. Let s = y - 9. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 13534*u + 1955811.\nAnswer: -(u - 143)*(u + 13677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 11*j**2 + 6*j - 6*j.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(-770) + (-50)\/(-56).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = -7. What is the remainder when ((-3)\/4)\/(3\/(-144)) is divided by (4\/(-4))\/(y\/(-38))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31375.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02712 to four dps.\nAnswer: -0.0271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -103, -515, -1397, -2911, -5219?\n\"Answer: -27*f**3 - 73*f**2 - 4*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 40*j + 8 + 15*j.\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/2 - ((-56)\/7 + 6) and 58?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((3300\/250)\/(-22)). Determine j, given that 0 + 2\/7*j**3 - 2\/7*j**h + 4\/7*j**2 - 4\/7*j**4 + 0*j = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5380 = -25*u + 245. What is the greatest common factor of u and 1500?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b. Let m(v) = -49*v - 2. What is y(m(j))?\nAnswer: -245*j - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1*m**(-1\/15)*(m**10*m)**(19\/4) assuming m is positive.\nAnswer: m**(3191\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*y**3 - 93*y**4 + 191*y**4 + 17*y**3 - 91*y**4 + 5*y**2 in the form d*y + v*y**2 + n + b*y**4 + u*y**3 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 2*v**2 + 6*v**2 + (2*v + 2*v - 5*v)*(4*v - 4*v - v)*(2 - 1 + 0) - 13*v**2 - 13*v**2 - 37*v**2.\nAnswer: -57*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5348660 divided by -5?\nAnswer: 1069732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271736.\nAnswer: 2, 33967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/(-8) - -6)\/(-3). Let z(m) = m**2 + 5*m - 2. Let b be z(-5). Let q be (5\/10)\/((-4)\/8). Sort q, n, b.\nAnswer: b, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2956666*s**3*z**3 + 2*s**3 + 8736919*z**3 wrt s.\nAnswer: -8869998*s**2*z**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 - -0.4. Let j = 0.9 + 0.3. Let y = j - 1.1. Which is the closest to k? (a) 0.2 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 4*l + 20 = 0. Suppose -3*m + 3 = d - 2, 4*m - d - 9 = 0. Let b(v) = -4 + 5*v + m - v + v**2. Determine b(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 - 72*s**4 + 324*s**3 - 440*s**2 + 186*s = 0 for s.\nAnswer: 0, 1, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 882, 3543, 7986, 14211, 22218, 32007, 43578?\nAnswer: 56931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - -0.8. Sort -4, 20, c in descending order.\nAnswer: 20, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 253 + -250. Let m = 128 + -127.8. What is the third smallest value in 1, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 907993*-1873\nAnswer: -1700670889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**3 + 6*v**2 - 3. Let g(y) = 13*y**3 - 13*y**2 + 7. Let n be (-2 - -1) + 6\/(-3). Let p(r) = n*g(r) - 7*i(r). Factor p(j).\nAnswer: 3*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -5, 1, -2 in ascending order.\nAnswer: -5, -2, -0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1356478326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -x - 462, -3*h + 55 + 297 = 2*x. What is the second derivative of -6*w**5 + 184*w**2 - 3 - h*w + 1 - 170*w**2 wrt w?\nAnswer: -120*w**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 10*j**2 - 12*j - 7. Let u be s(-11). Let k be ((-7)\/(-14))\/(10\/u). Factor -3\/5*a - k*a**3 - 1\/5 - 3\/5*a**2.\nAnswer: -(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14866a (base 14) in base 16?\nAnswer: ae7d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -879, -821, -667, -369, 121, 851?\n\"Answer: 8*w**3 + 2*w - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 22737823 and 45475647\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**2 + 0 - 3*q**2 + 38*q**2 + 0.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1850 divided by 925\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 0)\/((-5)\/(-10)). Let s = w + 20. Suppose -5*c + 90 = -0*r - 2*r, 0 = -5*r. Calculate the remainder when c is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**3\/6 - 5*t**2\/2 - 2*t. Let g be u(5). Suppose -6*m + 4*m + 24 = g. What is the highest common divisor of m and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1)*(-11)\/(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 5 - 896*l**2 + 0*l**3 - 3*l + 896*l**2 in the form u + q*l + c*l**2 + p*l**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/862 (b) 0 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 526853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 85602*p**2 + 427917*p + 513522.\nAnswer: 3*(p - 28529)*(p - 6)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2818*h. Let u(d) = 15*d. Determine w(u(m)).\nAnswer: -42270*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + 3 - 4 + 0*n + 0*n + n**4. Let u(t) = 4*t**4 - 9*t**3 - 4. Suppose -23 - 22 = -5*p. Let s(o) = p*w(o) - 2*u(o). Differentiate s(j) wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 62. Let s = i + -15. Solve -3*g = -3*t + 8 + s, -12 = -t + 2*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2453 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:38 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 532 - 488. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -4*l**5\/5 + 7*l**4 + 37*l - 199. What is the derivative of r(f) wrt f?\nAnswer: -16*f**3 + 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 43*t - 156*t - 205*t. Let z(s) = -6*s + 20. Let d(g) = g - 4. Let u(k) = -10*d(k) - 2*z(k). Give u(y(a)).\nAnswer: -636*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f**2 + 3*f)*(-6*f - 2*f + 3*f)*(-4*f + 56*f - 4*f).\nAnswer: -240*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421139*p - p**3 - 421139*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*c - 4*c + 21736, 0 = -c - 2*f + 5408. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*z - 60918 = -1687*z - 259*z for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-35)\/2240*8).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 5*a**2 - a + 6. Suppose 5 = w - 2*w. What is d(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + (sqrt(54)\/sqrt(3))\/sqrt(9)) - (-3*(sqrt(2) - (sqrt(2)*1 - sqrt(2))) + (sqrt(14)\/sqrt(112))**2).\nAnswer: -1\/8 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**2 + 31*q + 10. Is 4 a factor of b(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose 0*o - 5*o = 0. Let g be (0 + 0)\/(o - -1). Solve -p*j + 9 = 3*c, -5*j = -g*c - 4*c - 33 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.97449 - 0.02649. Is 0.1 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 22. Let w be n(17). Let x(v) be the second derivative of v**4\/12 + 5*v**3\/6 - 3*v**2 + 17*v. Calculate x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 6:35 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5811, -9\/11, 0.5?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 2, j: 3, a: 4, l: 1, r: 4}. Give prob of sequence adl.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -23*a**2. Let p be 14 + 6\/8 + 867\/204. Let x(s) be the second derivative of p*s - 1\/12*s**4 + 0 + 0*s**2 + 0*s**3. Determine x(d(j)).\nAnswer: -529*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w - 6. Let f = 10218 + -10222. Let z(k) = 1. Determine f*z(v) - r(v).\nAnswer: 7*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 4:54 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004372264 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(1 + (sqrt(2) - (0 + sqrt(2))**2)) - (-4 + (sqrt(8) - (-2 + (sqrt(8) - ((sqrt(8) + -3*sqrt(8))**2 - sqrt(8)))))).\nAnswer: -29 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-9)\/2) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 629910 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 8. Let b(z) = 5*z - 14. Let n(s) = 4*b(s) + 7*r(s). Suppose 0 = x - 2. Determine n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 w, and 1 k when three letters picked without replacement from bkqbvbbqbkbw?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9194605 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1364 and 70?\nAnswer: 47740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (21 - (-5 - -25)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 35*k - 8417 + 8369 = 0, -2*i = -k - 24 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -20*w - 15*w**2 - 1129 - 1128 - 1202 - w**3 + 3372. Calculate t(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 27 = -13*z. Suppose z - 9 = -b. What is the smallest common multiple of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-4) + 2)*210. Let w be 51\/d + (-4)\/(-14). Let n = 2083 - 2082. What is the closest to n in w, 4, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8340271.\nAnswer: 31, 269041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-216))\/((-350)\/63).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(36)\/(sqrt(60)\/sqrt(5)) + sqrt(3))*-2*3.\nAnswer: -12*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5922, -2, -5, 255.\nAnswer: -5, -2, 255, 5922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561225?\nAnswer: 3, 5, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 1\/4*j**4 - 3 + 4\/5*j**5 + 0*j**3 + 0*j - 11*j**2. Find the second derivative of n(m) wrt m.\nAnswer: 48*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(5)*-2) - (-4 + (sqrt(17) + sqrt(17) + -1 - sqrt(17))))**2.\nAnswer: -15*sqrt(17) + 253\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.96 - -36. Let p = -0.2 + 0.16. Let w = p + y. What is the nearest to w in -4, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 425 and 115.\nAnswer: 9775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.01 + -0.01. Suppose c + 1 = 2*j, 0 = 4*c + 3*j - 6*j - 6. Let f be c\/((-4)\/(-2) + -1). Sort u, f, 2 in increasing order.\nAnswer: u, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -289*v. Let n(t) = -9*t**2 - 8*t + 2. Let s(w) = -11*w**2 - 12*w + 3. Let x(b) = -3*n(b) + 2*s(b). Give x(o(g)).\nAnswer: 417605*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Let k be 1\/3 - o\/9. Suppose 2*n = -k + 2. Solve -g = -4*d - 4, -d - 3*g + 11 = -n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 10. Let g be a(7). Which is greater: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4\/11 - 1344*t**3\/11 + 67916*t**2 + 326883648*t\/11 - 118309018178\/11 = 0.\nAnswer: -689, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11303122020 - -10?\nAnswer: 11303122030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 28 = 28. Calculate the remainder when 83 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -6\/5, -28523, 4 in decreasing order.\nAnswer: 4, -0.5, -6\/5, -28523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7 = -0*s - 2*s, 3*v = -2*s + 13. Let o(k) = 12*k**3 - 2*k**2 + 2. Let b be o(v). Calculate the greatest common divisor of 24 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6464*c**4 + 6187*c**3 + 332535794*c**2.\nAnswer: -155136*c + 37122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 7:13 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/6735 and 109\/31430.\nAnswer: 94290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -317 and 2.369?\nAnswer: -750.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 82 = 2*i, -4*i - d - 90 = -2*i. Let l = 30 - i. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000126758915 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-101)\/303)\/((-1)\/51) + 1 + -3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 554 - 461. What is the smallest common multiple of 39 and h?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 654 + 5767. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (85\/4)\/((-9)\/(-288)) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -18*m**2 + 76*m - 6. Give t(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -1\/3*k**3 - 1\/120*k**6 + 2\/15*k**5 - 1\/4*k**4 - 83*k**2 + 0 + 0*k. Determine m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:37 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*r**2 - 20*r**2 - 18*r**2)*(3*r - r - r) to the form c*r + t*r**2 + q*r**3 + k and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1255 - 2.1. Round h to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 15 - 15 = 0. Let w be (-3)\/(-40) + 6\/d. Suppose -3*u = -i - 9, 5*i - 21 = -5*u - 6. Do w and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -6*t - 59. Let i = t + 40. Suppose 0 = -5*d + 2*g + i, 5*g + 12 = 5*d + 4*g. Solve -d*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5105 divided by -1?\nAnswer: 5105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624904 is divided by 4470.\nAnswer: 3574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 = 0, 3*a = -6*h + 2*h - 33. Let q(n) = 6*n**2 + 5*n + 5. Is q(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -184, -0.09, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1599*n + 35822 = -32935 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-25)*(47\/14 - 3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-10)*(-2)\/(-6)*(-30)\/20.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s**2 + s + 2*s + 2*s + 11*s**2 + 4. Let c be q(-5). Suppose z = c*z - 2*z. Solve 0 = 4*a - z - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 981, -12, -5, 3 in decreasing order.\nAnswer: 981, 3, 2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05368 - 4896.05368. Let f = d + 4885.035. Let r = -0.065 - f. What is r rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -4, -560\/53?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 + 31 + 8*z)*(75 - 150 + 67 + (5 - 3 + 0)*(4 - 5 + 0) - 1 - 1 + 1) to the form w*z + p and give w.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 316208161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**4\/6 + 8*d + 24. Let h(f) be the first derivative of b(f). Let a(y) = -10*y. What is a(h(p))?\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4752 by -1345.\nAnswer: 4752\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l. Let o be i(4). Let f = 83 - o. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o - 16 - 9*o**2 - o**3 - 23 - 18 + 68 - 19. Calculate f(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 - 0.1. Let g = 1.99 - s. Let d = -1.3 - -0.3. Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33256 and 16628.\nAnswer: 33256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -19, -506, 305, -5 in descending order.\nAnswer: 305, 5, -3, -5, -19, -506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 2*i - 3. Let k be n(3). Let r = -12 + k. Let x(o) = -3*o**2 - 18*o + 18. Let y(h) = h**2 + 5*h - 5. Calculate r*y(s) - 5*x(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13506 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 784447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.18 = 10838454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*6*70\/56?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 2*s**2 - 4*s - 3. Let t be y(-3). Let z be ((-24)\/54)\/(60\/t - -2). Solve -15 = -2*d + 3*r, -4*d - z*r - 11 = -1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1156.5846 nanoseconds?\nAnswer: 0.0000000003212735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 939.5 + -939.3. Suppose 0 = -4*q + 1 + 15. Which is the nearest to q? (a) 5 (b) 1\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 + 6)*(3 + 3 + 4)*(2*t + 0*t + 0*t) to the form h + b*t and give b.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 2*v, 5*v + 3*g + 15 = -2*g. Suppose -3*a + 0*a + 30 = 0. Let d = a - v. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1207, 1238, 1341, 1534, 1835?\n\"Answer: 3*v**3 + 18*v**2 - 44*v + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (3 - 11) + -33?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 130*n**2 + 1325*n - 1190.\nAnswer: -5*(n - 7)*(n - 1)*(n + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k - 6*k + 86 - 86. Let g(r) be the third derivative of r**2 - 5 + 0*r + 0*r**3 - 1\/12*r**4. Determine v(g(c)).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -4 + -3 - (-2 - -51)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -21010?\nAnswer: 20333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -171\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 155921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-387)\/(-2712) + -6*85\/28815.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3345 + -3352. Sort t, -4, 2\/7, -65 in increasing order.\nAnswer: -65, t, -4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 27*u - 32. Let x be t(-15). Differentiate 240 + x*r + 8*r**4 - 3*r**4 - 8*r**2 + 12*r**2 - 4*r**2 with respect to r.\nAnswer: 20*r**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 12*y**2 + 80*y + 320. Let q be m(-4). Let o be 1 + q\/(-396) + (-8)\/44. Factor 0 + o*k**2 - 10\/3*k.\nAnswer: k*(k - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 56 - -15 - (8 - 1)) + -42?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 189*t - 1129. Calculate h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66957, 66780, 66603, 66426, 66249, 66072?\n\"Answer: -177*a + 67134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-250)\/90)\/(1\/(-1)) + -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7661011.69 and -5.\nAnswer: 7661006.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45804 + 45852. Let x be 2114\/8 + (-1)\/4. What is the greatest common factor of y and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 2*x**2 - 2*x**2)*(x + 148220*x**2 + 148225*x**2 + 52 - 296451*x**2) in the form t*x + w*x**3 + h*x**4 + y + r*x**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -k - 40. Calculate the least common multiple of 4 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 48. Let b = -14 - x. Calculate the greatest common factor of b and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 14*n = -1494. Calculate the remainder when n is divided by (-59 - -2)\/(-3) - (-8 + 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 83*g = -88*g - 24, -2*d - 8 = 26*g - 47*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2. Let c(p) be the second derivative of -41*p**4\/4 - p**3\/6 - 391*p - 2. Calculate g(c(m)).\nAnswer: 60516*m**4 + 984*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1232 + 18472\/15. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 22 = 2*o, 5*r - 10 = 4*o + 18. Is r greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 2*x = -10, 15 = 3*m + x. Let c = -2 + m. Suppose 0 = 3*d + 3*w - 18, c*d - 10 = -2*d - w. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 74 = 2*s. What is the remainder when s is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3*k**3 + 2*k**4 - k**3 - 6 - 3*k**2 + 0*k**3 to n*k**4 + b*k**2 + g*k**3 + h*k + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62045?\nAnswer: 5, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = -12*i + 560225. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3724 - 2111 = -15*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -19*w**3 - 13*w**2 - 5*w - 9. Let j(b) = 5*b**3 + 3*b**2 + b + 2. Let q(h) = -2*f(h) - 9*j(h). Give q(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 2*j**2 - 15*j + 3. Let f be s(5). Solve 7*h = -4*d + 5*h + 24, -d + h = -f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-128))\/((-2)\/(-4) - -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.7, 3, -4, 7\/4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1428 + 1495.1. Let j = u - 67. Let o = -11.17 + 0.17. Which is bigger: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in -0.5, 19, 550, -0.01?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c12 (base 15) to base 8.\nAnswer: -31052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2202*t - 79456. Determine n(-36).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 435.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 = 18, -3*x - 7 = -i. What is the greatest common factor of i and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -31*k - 30 - 30*k**4 - 48*k**2 - 3*k**5 + 61 + 47 - 80*k + 114*k**3 = 0. Calculate k.\nAnswer: -13, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*q - 93*q - 48 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 4*j - 16. Let b be g(2). Let m be ((28952\/16)\/7)\/((-2)\/b). Calculate the greatest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + ((33 - 15) + -4 - 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3 = 5*v + 17, f + 2*v - 7 = 0. Suppose 37 = a - f*z + 10, 4*a + 3*z = 16. Suppose -a*q = -5*q - 2. Solve 6 = 3*o - m, 2*o = -4*m - q + 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1625)\/1*(-4)\/(-20)*(-1368)\/4. What is s rounded to the nearest one thousand?\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -726216 + 1160936. Let q be a\/62088 + 1 + -8. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28042801 minus 7?\nAnswer: -28042808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-15))\/(48\/72)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/6 + (-2)\/6. Let n(b) be the first derivative of b**3\/3 - 5*b**2\/2 - 10*b - 4. What is the units digit of n(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5 - 13. Suppose 3*t - o = -0*t. Suppose 202 = f + 5*q, t*q - 7*q - 958 = -5*f. What is the remainder when f is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 144 + 390. Calculate the remainder when r is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g - 9*g + 2*g + 3 - 2*g**2. Let a be w(5). What is a rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 362*j - 364*j + 238. What are the prime factors of j?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9054468.\nAnswer: 2, 3, 251513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9750689719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11 + 11 = 2*p, 3*f = -4*p + 58. Let x(y) = 2*y + 39. Let h be x(p). Let u = h - 41. Solve -r - u = -0*t - 5*t, 5*t = 4*r + 45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2090437 and 27721?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265 + 569 - 304 - 394*u**2 + 407*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-22)*(16 + 3568\/(-112) + 16)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from llmnmzrrrrkrm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:30 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 + 10*y + 1. Give o(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**(-30)*g**3*g*g**(-2\/7) assuming g is positive.\nAnswer: g**(-53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/7 - 54262*z**4 + 10637304*z**3\/7 + 72939680*z**2\/7 + 151956544*z\/7 + 14761440 = 0. What is z?\nAnswer: -189945, -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1329*z - 253832. Calculate n(-191).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:35 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261824 is divided by 130890?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 8*g - 80 = 0. Let d be 3\/24 - (-78)\/g. Suppose -4*h + d = -l, 0*h = 5*l - 2*h - 11. Solve 5 = l*x + 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148\/19 - 1286\/209. Find the common denominator of 13\/6 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*v - 16 = -5*d, -5*d + 20 = 3*v. Let s(z) = 4*z**3 - 3*z**2 - 2*z - 1. List the prime factors of s(d).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*z - 346 - 3746 = 0 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*h + 44*h + 46*h + 44*h + 44*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1411.83336 + 1402.52. Let g = z + 0.43326. Let t = 8.84 + g. What is t rounded to 3 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = -2. Let v = s + 2. Is (-114)\/(-9)*(2 - v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 0. Let j = d + -0.2. Let u = 5 + -3. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 234 + -1169\/5. Let u be (2 - (2 + -1))*1. Sort 0.3, g, u in descending order.\nAnswer: u, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -4, 5, 61, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -593\/2655 - -1\/885. Which is the fourth smallest value? (a) 0.2 (b) 2\/9 (c) -4\/3 (d) 0.5 (e) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.8 - -16.8. Let x = 0.031 - -3.969. Let u be (-8)\/21 + 12\/(-42). Which is the closest to u? (a) x (b) 2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5775+842.2505\nAnswer: 841.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.824 (b) 1\/6 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (22170\/1845 - (-344)\/(-21156)) + 101\/(-7)\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 253 and 350999.\nAnswer: 8072977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/3 - 9356*y**2\/3 + 1840672*y - 19871808.\nAnswer: 4*(y - 1164)**2*(y - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 20 = 6*b. Suppose -b*n - 2655 = 13*n. Let u = 30 - n. What are the prime factors of u?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + (94 - (-94 - -253))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1587 and 183149.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47756 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61073, -122145, -183217, -244289, -305361?\n\"Answer: -61072*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 13) to base 12.\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/8*(-38)\/38\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6403 - -85\nAnswer: -6318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/7 + 135*k**2\/14 - 138*k\/7 + 873. Find s, given that r(s) = 0.\nAnswer: -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -588, -1163, -1732, -2295, -2852, -3403, -3948?\nAnswer: -4487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14646 - 14645.55698. Let d = 0.29803 - h. Let o = d + 0.144. Round o to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-12\/13)\/d*d*d*d\/(d\/(d\/d**(-34\/5))))**(-5))**20)**(1\/13) assuming d is positive.\nAnswer: d**(-10240\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 20 = 7*c. Suppose -4*r + 29 = -5*n, 4*r = -0*r - c*n - 6. Let d(v) = -9*v**3. Calculate d(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 3*b - 2*b)*(1 + 2 - 5).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 6, q: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717528.\nAnswer: 2, 3, 7, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/5 + 96*i**4\/5 + 3456*i**3\/5 + 55296*i**2\/5 + 331776*i\/5 = 0. Calculate i.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*f**2 - 41*f**3 + 49*f**3 - 252*f**2.\nAnswer: 8*f**3 - 55*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1378 - 2282 = 145*q - 389*q. Solve q*f = -78 + 33 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4000 + 7709. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1017 + 11.35.\nAnswer: 11.4517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccjcjjccjccjccc. Give prob of sequence cc.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 129\/53, 0.047, 0.2?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxiixddddqqddqddq. What is prob of sequence iq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + a)*(160*a - 430*a + 146*a + 145*a)*(-3 + 1 + 5).\nAnswer: -126*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8152*a**2 + 20*a + 611. Let l(j) = -32610*j**2 - 85*j - 2445. Let u(z) = -17*i(z) - 4*l(z). Differentiate u(p) wrt p.\nAnswer: -16288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 18 = -194. Let j = d + 568. Suppose -y = -3*y + j. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/(1\/((-21)\/(-45))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 17*z**3 + 2*z**2 + 17*z**3 + 2*z**3 - 2*z**4 + z to i*z**2 + y*z + m + a*z**4 + g*z**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let w = -130.11 - -130.16. What is the nearest to 5 in p, w, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2315 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/50 and 111\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -0.28949?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -a3?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i\/(i**8*i))\/i)*i**(-2\/23)*i**(-13)\/(i\/(i*i*i**2)))**5)**(-1\/63) assuming i is positive.\nAnswer: i**(-5\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -222*v**3 - 230*v**3 + 9*v**4 - 2*v**2 + 446*v**3 as z*v**2 + c*v**4 + t + s*v**3 + m*v and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 v, 1 a, and 1 s when four letters picked without replacement from vsctavrvvsst.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 921 = 3*w + 2*x + 2*x, 0 = -2*w - 2*x + 614. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 3144?\nAnswer: -3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + 8*q + 5. Let y(s) = 5*s**2 + 14*s + 10. Let x(c) = 7*n(c) - 4*y(c). Let a(b) = -b. Give a(x(d)).\nAnswer: -d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let y(d) = 7*d**2 + 10 + 0*d**2 + 51 - 2 - 2*d**2. What is m(y(p))?\nAnswer: -5*p**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 5*l - 3*l)*(l**2 - 7*l**2 - l**2) + (-l**2 - l**2 + l**2)*(3*l + 5*l + l) as k + s*l + t*l**2 + c*l**3 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w - 15. Let n be x(-6). Let o = -11 + 13. Suppose 2*h = o*c - 8 - 0, 30 = 5*c + 5*h. What is the greatest common divisor of n and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -691379\/125 + 5531. Calculate the common denominator of 14\/75 and f.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7555, 0.1, -2\/13?\nAnswer: 7555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) + (9 - (-1595)\/(-116)). Sort -578, n, -3 in ascending order.\nAnswer: -578, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50225 and 490?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*b + 508997 - 484859 = 0 for b.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 120*f**2 + 203*f**2 + 0 - 17*f**2 to the form x + k*f**2 + u*f and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78260 or -2034725\/26?\nAnswer: -78260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u*u**4)\/(u\/(u\/(u*u*u\/(u*u**(-2\/5)\/u))))**(-3\/8) assuming u is positive.\nAnswer: u**(-69\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8*a**2 + 7*a - 8. Let d(w) = 7*w**2 - 6*w + 7. Let c be (6 - (-150)\/(-24))*0\/1. Suppose c = -x + 11*x - 50. Calculate x*i(q) + 6*d(q).\nAnswer: 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3679*n + 6. Let k(i) = 739465*i + 1207. What is 1207*g(f) - 6*k(f)?\nAnswer: 3763*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 699*y**3 + y**2 - 3*y - 2. Let l(x) = 2*x**2 + 77*x + 41. Let p be l(-38). Is r(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1389225 months?\nAnswer: 0.000011576875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 28749047001644?\nAnswer: 28749047001643.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-2\/9)))**24\/(a**(3\/4)*(a**(3\/13)*a*a*a)\/a) assuming a is positive.\nAnswer: a**(367\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1.6. Let z = -7 - 8. Let j be (-6)\/(-21) - z\/(-28). Sort 3\/2, j, d.\nAnswer: j, d, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1035 and 1265?\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7531 - -7533.9. What is the closest to -2\/7 in -12, m, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.032 in 193, 8, -1, 5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -32. Let y = 28 - n. Solve 0 = -y*f - 4*g + 15, -5*f + 5*g + 8 = -7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469820.\nAnswer: 2, 3, 5, 11, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from jyje?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-24)\/(-14))*(-615)\/287*2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6954 is divided by 688?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 2. Let l be t(-6). Let k = l + 14. Calculate the highest common factor of 28 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25497.93 and -115831.11?\nAnswer: 90333.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -11)*(0 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4 - (664\/(-32) + 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13629125 is divided by 4543041.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1412 is divided by 385?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = 36*k + 630. Let v be (-21)\/7 + k\/2. Suppose -5*q = 48 + 47. Does v = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13140 is divided by 321?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -26*q + 42*q + 5*q. Let l(b) = -5*b. Give y(l(z)).\nAnswer: -105*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 5*d + 4*d)*(-5 + 1 + 2) + 21 + 0*d - 15 - 3*d.\nAnswer: d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 + 20 + 10)*(0 - 3*x + 0 + 6).\nAnswer: -363*x + 726","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -96\/7 (c) 2\/7 (d) 1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 1.1. Let u = z - 2. Let h be -10 + ((-14960)\/90)\/(-17). Which is the smallest value? (a) h (b) -2\/15 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5304327628 plus -0.21?\nAnswer: -3.7404327628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 12*p + 14. Let f be ((-319)\/2)\/(p + 15). Let r = f + 156. Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12*(5 - 4))\/(9\/(117\/(-26))). Solve -328 + 352 = v*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -2*u - 5*y, -5*u = -y - 79. Suppose -2*r = 2*q - 0*q, r + 4*q + u = 0. Solve -3*s - r = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from qhff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (1 + -5)) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30812210\/249 - 123744. Calculate the common denominator of 31\/12 and m.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/332159 or -1511?\nAnswer: -1511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**2*l + 562*c**2 - 232*c*l - 2*c - l + 2 wrt c?\nAnswer: 20*l + 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, l: 3, y: 2, f: 8, c: 2}. What is prob of picking 2 y, 1 l, and 1 i?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/8 + 4520\/32. Let a = -71 + m. Suppose 0 = -5*r + 44 + 16. What is the remainder when a is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*n - 9. What is the nearest to 1 in -2\/7, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = x + 3, 2*g + 3*x - 21 = -g. Suppose -p + g*m + 9 = 0, -4*p + 3 = m - 15. Suppose 0 = -b - 3*f + 21, 0*b = -p*b + 3*f + 123. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 12 = -3*t, 4*t + 13 = 4*d - 7*d. Let i = 12568 + -12649.01. Let c = i - -81. What is the nearest to 1 in t, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0, 10, 3, -3, -27 in ascending order.\nAnswer: -27, -5, -3, -1, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1173*s - 1369. Is a(5) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/104682448 and -31\/678288?\nAnswer: 314047344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 16*r**3 + 6*r**3 - 6*r**3.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48323721 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001541595 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express (9*m - 13*m - 10*m)*((-3*m**2 - m**2 - m**2)*(m + m - 3*m) + 0*m**3 - 2*m**3 + 3*m**3) in the form d*m**3 + i*m**4 + q*m**2 + j*m + u and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 + -10. Let l = 201 - v. What is the greatest common factor of 123 and l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*(-442)\/(-1326)*(-18)\/(-4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -383.557333 + 135.557347. Let d = x - -248. Round d to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11318 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*g + 4. Let n(p) = -p + 3. Let k be n(4). Let m = k + 5. Put g, m, 3 in descending order.\nAnswer: g, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4495 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -13, 15 in descending order.\nAnswer: 15, 5, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42233889 is divided by 3018?\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p + 4 = 0. Solve -k + 0 + 1 = -t, k + 5*t = p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, 93, -5, -58 in ascending order.\nAnswer: -58, -18, -5, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {f: 8, c: 2, q: 1, m: 2, k: 2, a: 5}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2826 - 2825 + 26*q**2 + 6746 - 8*q**2 - 1095.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -775?\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -589717*x - 75*x**2 + 8*x**2 + 589747*x to the form a*x + w*x**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-736)\/(-552))\/((1854\/(-135) - -6)\/(12\/10))?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -18\/68789 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 11636*k - 336. Let c be o(-24). What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 47*t - 91. Is d(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {w: 4, i: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7950 divided by 1325\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3 - 263106*c**2 + 135*c + 1320?\nAnswer: -12*c - 526212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, -5, 3\/7, -2\/9 in decreasing order.\nAnswer: 5, 3\/7, -2\/9, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.458054 rounded to 3 dps?\nAnswer: 0.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (122 - 124)*(-2 + 0 + 1). Suppose 13*a = -o*a + 6*a. Solve -10 = -a*r - 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 12*h**2 - 9*h - 12. Calculate the remainder when 16 is divided by k(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70265 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 483 and 738645.\nAnswer: 5170515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 0, -3, -5, -2, 1 in decreasing order.\nAnswer: 120, 1, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/53880 and -89\/1616.\nAnswer: 10883760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5608)\/3)\/(214\/(-321)). Suppose 3281 = 4*m + 3*d, 1306 = 5*m + 2*d - r. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*d + 14, -2*d = 3*y - 41 + 43 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c + 1. Let j(o) = 3*o + 3. Determine j(u) + x(u).\nAnswer: -u**3 + 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -22*n**2 + 85*n + 119. What is x(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 68*k - 42*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -0.19 (c) -0.3 (d) -0.05 (e) 275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q = 36*q. Let s = 0.05 - -0.15. Which is the nearest to q? (a) -3 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, o: 1, g: 4}. Give prob of picking 1 g and 1 z.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 125*o + 55. Let x(f) = -9*f - 4. Let y(a) = 4*v(a) + 55*x(a). Let t(r) = 2*r. Determine t(y(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 3523200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 25863*t. Let p(w) = 32*w. What is n(p(y))?\nAnswer: 827616*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from {x: 1, a: 1, u: 2, h: 2, o: 1, v: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 1.1. Let x = 0.2 + t. Let b = x - 3. What is the second smallest value in -0.4, 3, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 521 - -21761?\nAnswer: 22502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -70032, -140064, -210096, -280128, -350160?\n\"Answer: -70032*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 33287.\nAnswer: 33286.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/75*-9*1190\/(-51)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10715 is divided by 1318?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159606723 is divided by 178?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*a - 55, 3*a + v - 120 = -5. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -489, -1.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, 0.5, 5, 2\/7, 0.236?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 111110000 (base 2) to base 5\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*m = -2*m + 5, -3*m + 1 = 5*x. Let a(p) = -3399*p + 1. Let o be a(x). What is o rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x - 20*x + 5*u - 15, -x + 3*u = 3. Let i(g) = 2*g**2 + 5*g + 5. Give i(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 75. Suppose q*o - 44*o - 56 = 0. What is the highest common divisor of 161 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56 - 0.16. Which is the nearest to -0.1? (a) p (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 29\/84?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/4 (b) 2\/71 (c) -31 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*-2*(-2)\/4. Suppose 1 = -6*v + 1. Solve -z*n = -v*n - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from xjxxxxwxxxjjxxxx.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 33*s + 49. Let a(w) = -33*w - 50. Let d(x) = 4*a(x) + 5*i(x). Let k(n) = 8*n + 11. Let p(u) = 5*d(u) - 21*k(u). Give p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 2\/13, 3, -0.02966 in increasing order.\nAnswer: -0.2, -0.02966, 2\/13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 682541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2827*x + 2744*x = -415 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, -22, -67, -150, -283, -478, -747, -1102?\n\"Answer: -2*z**3 - z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*t + 15 + 5, -8 = 2*i. Suppose 0 = -t*s + 5*s - 4*w - 4, 0 = 4*s + 2*w + 2. Solve 4*m - 5*v - 12 = s, -4*v = -2*m - 0*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 10. Let m(x) = -x**3 - 4*x**2 - x + 4. Let h be m(g). Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 48*k. Let x(a) = -18*a**2 - 93*a. Give w(x(j)).\nAnswer: -864*j**2 - 4464*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = s - 6*s + 319, 4*n + 122 = 2*s. Solve 16*o - 3*o = s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.09701 decades to months.\nAnswer: 6611.6412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a factor of 35860694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -123d244 + 15?\nAnswer: -123d22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-3))\/(10\/(-3)))\/(16\/((-13120)\/(-287)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -40*v - 4. Let y(p) = 5*p + 3. Let h(i) = 15*i - 1. Let k(l) = h(l) + y(l). Determine -5*k(s) - 2*q(s).\nAnswer: -20*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 318920 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -902375861\/1034 + 872704. What is the common denominator of 139\/564 and i?\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 - 0 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2054*x - 2451*x + 5371*x)*(7*x + 0*x - 3*x)*(5*x - x + 0*x).\nAnswer: 13856*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -14834 < -14834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4093 - -4092.7. What is the biggest value in -1\/3, -0.1, 10, h?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 114\/22 + (-6)\/33. Find the third derivative of -5*r**p + 265*r**2 - 73*r**5 + 5*r - 261*r**2 wrt r.\nAnswer: -4680*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 + 7*o - 2. Let a(v) = 6*v**2 + 8*v - 3. Let c(d) = 2*a(d) - 3*s(d). Find the second derivative of c(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i\/i**(2\/7))\/i))*i\/(i*(i**(1\/8)*i)\/i))**(1\/11)\/(i**13\/(i*i\/(i\/(i\/(i**(-2)*i)))))**(3\/4) assuming i is positive.\nAnswer: i**(-4643\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -42113 (base 5) in base 9?\nAnswer: -3732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/510 and -193\/510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93 or -1011\/11?\nAnswer: -1011\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(43\/(-26))\/((-39)\/1014)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 2, b: 1, j: 6}. What is prob of sequence hbf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2. Let c(m) be the third derivative of -m**5\/20 + m**4\/6 + 6071*m**2. What is c(w(a))?\nAnswer: -48*a**4 - 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1204406 - 6*g**3 + 20*g**3 - 1204406.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20517, -41053, -61599, -82155, -102721, -123297, -143883?\nAnswer: -164479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2134 by -1067.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-14)\/(-20) - (-8)\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 35 = 5*g, k - 3 - 14 = 2*g. Let w be g\/(99\/(-3024)) - 1*3. What is the highest common divisor of w and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 1152879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*x**3 + 72*x**3 + 61*x**3 - 190*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 726 - 746 - (-39 - 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 - 14 + 2*u**3 + 12*u**2 + 2*u + 0*u**3. Let m be w(12). Let g(f) = m*f**2 + 7*f**2 - 2*f**2 - 5*f**2. Let z(y) = y. Give g(z(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by -4?\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*g + 5*k, 5*g + 24 = 6*k - 3*k. Let n be (-9)\/(-27) - (-1)\/g. Solve n = -3*z - 8 - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*m*o**2*t**2 + 96*m*o*t**2 - o*t**2 wrt o.\nAnswer: -120*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*l + 23014 = -252*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1916985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -677*a**3 - 2*a**2 - a. Let m be w(-1). What is the highest common factor of 104 and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/90 - r**5\/15 + 8*r**3\/9 + 2*r**2. Factor d(s).\nAnswer: 4*(s - 2)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -0.018566.\nAnswer: -0.318566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-12) - 1\/4. Let q = -144 + 144. Factor 0*d**3 + 0*d**4 + 1\/2*d**5 + q + y*d**2 + 0*d.\nAnswer: d**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/221 (b) 0.3 (c) -1\/4 (d) -2\/3 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76232, 158048, 239866, 321686, 403508, 485332?\n\"Answer: h**2 + 81813*h - 5582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-48) - 8\/(-3). Solve 0 = 26*u - i*u + 115 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2156 and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30562237 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 442 = 4*o, 3*o = 2*b - 94 - 87. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 15 - 98 - -40\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2159\/1938 + 3\/57\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 825476.56.\nAnswer: 825476.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408 + 4*j + 6*j - 11*j - 2*j + 0*j.\nAnswer: -3*j + 408","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) + 500\/(-12). Let p = 61 - w. Let j = p - -38. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7 - 5 = 0. Is 4 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22630876 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23516 - 23516. Solve -129*x + 127*x - 16 = m for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - a**2 + 3*a**3 + 0*a**2 + a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2662\/7 + -380. Determine z so that m*z**4 + 0*z + 2\/7*z**3 + 0 - 4\/7*z**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 l, and 1 v when four letters picked without replacement from vhcll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 7*h**2 - h - 5. Let w be a(1). Round w to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(175)*-2 + 4 - ((sqrt(175) + ((1*sqrt(175) - sqrt(175))*-5 - sqrt(175)))**2 + sqrt(175) + (sqrt(175)*2 + 0)**2).\nAnswer: -700 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*j + 2*j. Let a = j + -2. Is 7 a factor of 7\/3*(9 - a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9747233s in days?\nAnswer: 0.00002285559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (((40 - 20) + 0 - 32) + -103).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 35 - 33. Solve 7*u = b*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 1. Find the third derivative of -15*t**3 + 5*t**i + t**6 + 15*t**3 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8961?\nAnswer: 3, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 25 = 4*i. Suppose -17 + 172 = i*v. Let k = -22 + 27. Solve -2*a - v = k*t, 0*t - 5*a = 4*t + 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxxqqlqccq. What is prob of sequence qcxq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343069009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 8*b - 798. Let m = 2 + 4. Suppose 135 = -m*o + b. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 2. Let l be c(-4). What is the third derivative of 2*m**3 + 5*m**5 + 34*m**2 - 2*m**3 - 45*m**l wrt m?\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-15)\/12*-4. Let r = m + 8. Suppose 0 = r*l + 2 - 11. Put l, -5, -3 in decreasing order.\nAnswer: l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 3*z**3 - 9*z**3 - 10*z**3.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -131, -509, -1131, -1991, -3083, -4401, -5939, -7691?\n\"Answer: w**3 - 128*w**2 - w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-835)\/55 + 7\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -11*b - 25. Solve -z + 2*z = -b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 4. Let s(j) = -j**2 - j + 11. What is -7*g(y) - 2*s(y)?\nAnswer: -5*y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14062 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 7) in base 15?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 2*f**3 - 3*f**2 + 872*f + 23*f**4 - 871*f + 2*f**2 to p*f + i*f**4 + r*f**2 + h + b*f**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 1, i: 9}. What is prob of picking 2 i?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x**2 + 360*x**2 - 96*x**2 + 165*x**2.\nAnswer: 464*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i - 18. Let b(u) = -u - 4. Let j(v) = 9*b(v) - 2*w(v). Suppose 2*l - 2 = -2*a, -3*l - 2 = 2*l - 2*a. Let z(y) = -6*y + l*y - y. Determine z(j(n)).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - q + 30 = 0, -3*y + 0*q - 2*q + 11 = 0. Suppose 0 = y*p - 0*p - 84. Solve b + 3*b - p = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*s + 631 - 628 + 5*s to the form q*s + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k - 24. Let o be a(-14). Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 0.1, -2\/13, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiieee. Give prob of picking 2 e.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 0.03, 272, -0.2, 27, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 26. Solve 4*o - i = -0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 6*p + 2*p)*(4 - 4 + p) + (p**2 - 3*p**2 + p**2)*(-6 + 2 + 2) + (-3*p + 3*p - p)*(-3 + p + 3) - 2*p**2 + 0 + 0.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 2. Suppose 0 = -9*i - 13*i + 229592. Suppose d*z - i = 2*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2762 and -25\/4472.\nAnswer: 6175832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/6 + (-3)\/18*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1422123*c**2 + 4*c**3 - 7*c**3 + 2*c**3 + 1422123*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 663.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 11) in base 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6.77064, 1.1, -0.4, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 4. Let y(r) be the second derivative of r + 0*r**2 - 1\/6*r**l - 1\/3*r**3 + 0. Find the second derivative of y(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121330126.\nAnswer: 2, 60665063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10*(7 + -2). Suppose 0 = -7*k + 3*k + a + 7, 10 = -r*k - 4*a. Let q be 7*(1\/k - 0). Solve z = 2*w - w - 3, z = 2*w - q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 5:34 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.6 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(112)*-4)**2.\nAnswer: 258048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235 + -18274.\nAnswer: -18509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 68*f**2 + 17*f**2 - 7*f.\nAnswer: 85*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**2\/5 + 28122*a\/5 + 56228\/5 = 0.\nAnswer: -14057\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + 1*sqrt(1300) - -4*(sqrt(1300) + -2)).\nAnswer: -10 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcyzyhyoy. Give prob of sequence yoh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -13, 31.\nAnswer: -13, 31, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 88.76 millilitres?\nAnswer: 0.08876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 2*o**2 - 3*o + 2. Let t be x(-3). Let g = -6 - t. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 32*d + 33 + 64*d - 31 - 11*d to the form a*d + c and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/(-690) - 1\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675 + 12*a - 1351 + 677 - 9*a.\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-129 + (-15 - (-1 + -12 - (-3 + 13))))\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*w + 43*w + 17*w)*(2*w**2 - 2 + 2)*(-2 + 14*w + 2).\nAnswer: 3136*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28584\/324 - (-1)\/(18\/(-4)). Let n = b + -98. What are the prime factors of (-51)\/(-6)*n*(-90)\/50?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*g - 15, -5*d + 4*g + 8 = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00687 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -2*s**5\/15 + 19*s**4\/9 - 184*s**3\/27 - 182*s**2\/9 - 98*s\/9 + 1624. Solve z(a) = 0 for a.\nAnswer: -1, -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 14 - 14 + (k - 3*k + k)*(-7*k**3 - 9*k**3 - k**3).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, b: 7, f: 2, s: 5}. Give prob of sequence bmb.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1344123 is divided by 3327?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19742588, -39485175, -59227762, -78970349?\n\"Answer: -19742587*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -50?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24083\/72 + 3004\/9. What is the common denominator of -77\/36 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = 0, 4*k + w = -2*w + 194. Suppose -t - a = -13, t + 2*t - 5*a - k = 0. Calculate the remainder when t is divided by 1*4*-1*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-7)*(-21)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-90))\/(98\/168)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -91170 take away 135800?\nAnswer: -226970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 0.01 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75))**2 + 1.\nAnswer: -10*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3222 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1309679022?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4495873328.\nAnswer: 2, 19, 14789057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**4 - 3*i**3 - 4. Let f(z) be the first derivative of -z**5 + z**4\/2 + 5*z + 4. Let m(s) = 2*a(s) + 3*f(s). Differentiate m(c) wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/2 and 39\/142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (37350\/(-369))\/(-25) - (-8*1)\/(-2)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 301 - 11?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*l + 5*x + 156, -9*l - 7*l - 2*x = -39*l + 18*l + 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 641866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/360 - 32\/(-15). Let a(i) = 16*i - 7. Let p(d) = -5*d + 2. Calculate r*a(u) + 7*p(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -9*m**3 - 5*m**2 + 266*m - 1. Let j(w) = -w. Calculate z(j(t)).\nAnswer: 54*t - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7416.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-65 - -9))*5\/(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/((-84)\/7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -690 + 690.008372. Round y to four decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*p, 5*w - 4*p = -7*p - 16. Let o(j) = 19*j - 1. Determine o(w).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:50 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-20))\/((-126)\/175). Let y = -59\/84 + r. Which is the nearest to -1? (a) 0.4 (b) -2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 2*x. Let z(r) = -r. Suppose 4*f - 2*g - 10 = 0, 10*g - 16 = -4*f + 14*g. Give f*u(k) + 2*z(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 188 = -194 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -21 (b) 1\/4 (c) -1\/2 (d) 4 (e) 148 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -568 - -1057\/2. Suppose -11 = c + 1. Find the common denominator of h and (-394)\/8 - c\/(-48).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3150809.000012 + 3150817. Let q = -14 - -6. Let v = s + q. What is v rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5630649*g**2. Let x(w) = 2*w. Give o(x(j)).\nAnswer: 22522596*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/6 and 0\/(-1) + 735\/154.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c - 7*c - 11*c + 27*c - 8*c**2 - 53*c**4 wrt c?\nAnswer: -1272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c = -3*o + 18964, -o - c + 6328 = 0. What are the prime factors of o?\nAnswer: 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 6854 - 13750 + 6726.\nAnswer: -c - 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 12:00 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -28 + 18 + 19 + 3*y - y**2. Let s be r(-2). Let u be s + (-146)\/(-6) - (-16)\/24. Solve -l + 13 = -3*x, 8 = 4*x - 2*l + u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**6\/15 - 3*q**5\/10 - q**4\/6 + q**3 + 2*q**2 + q + 1. Factor c(d).\nAnswer: -2*(d - 1)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 370 = 141 + 147. Determine p, given that 4\/15 - 2\/15*p**3 + 2\/5*p + 0*p**n = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 + 11101010100110110111010?\nAnswer: 11101010100110111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 180409724 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/15 - 3\/5. Suppose 0 = -2*r - 0 + 4. Suppose -i = -r - d. Put -1, 0, i in increasing order.\nAnswer: -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9\/14 (b) 0.2 (c) -42\/17 (d) 4 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1596*s**3 + 468*s**3 + 556*s**3 + 465*s**3.\nAnswer: -107*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f = 0. Suppose n + 3*n - 40 = f. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 600 - 597. Which is the fourth biggest value? (a) 1 (b) -1\/4 (c) 4 (d) -2\/11 (e) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 3 - 13)*(0*f - f + 4*f).\nAnswer: -129*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11355.53 - 11288. Let i = -68 + l. What is i rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 1:10 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -286 - -164. Suppose 422 = -g + 3*g. Let x = a + g. List the prime factors of x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - (3 + (-253)\/(-3)). Let k = g + 132. Let x = -41 + k. Let p(i) = 2*i + 1. Calculate p(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -38, 2\/717.\nAnswer: -38, -4\/3, 2\/717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d. Let s(i) = i**2 - 11352345*i + 3. What is s(f(o))?\nAnswer: 16*o**2 - 45409380*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*o + 1660950 = -149*o. Suppose -17*d = -32*d + o. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17010662 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 22 + -1 + 3. Let i be 4\/5 - 5046\/(-30). Calculate the highest common factor of f and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -3*u + 30. Let i = u + 37. Let c(k) = -14*k. Calculate the remainder when c(-3) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*2\/14*21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1)\/(39 - 51). Is 6703 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/9582 and -1\/59089.\nAnswer: 354534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*((-9)\/(-15))\/(-1). Suppose -z = -l*x - 22, -2*z = 2*x - 4 - 16. Solve 4*b - z = -5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 - j + 1. Calculate the least common multiple of 3 + (0\/(-1) - 2) and x(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -13*f. Let d(m) = -3168284*m. What is d(h(t))?\nAnswer: 41187692*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655385 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835 divided by -945?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*f**4 + 28*f**3 + 8*f**2.\nAnswer: -4*f**2*(f - 2)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 304\/16 + ((-72)\/2)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3022447 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 5. Let c be b(6). Let p = -245.7 + 540.8. Let l = p + -295. Are c and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*i - 5*b - 31, 2*i = 3*b + 19. Let x(d) = 4 + i - d + 0*d - 8. Let y(u) = 2*u**2. What is y(x(z))?\nAnswer: 2*z**2 + 8*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*h**3 - 7*h**3 - 8*h**3 + (2*h - h + 0*h)*(h**2 - 5*h**2 + 2*h**2) in the form b*h + f*h**2 + g*h**3 + v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**5\/3 + 6218*b**4\/3 + 4785104*b**3\/3 - 75898424*b**2\/3 - 2120421248*b\/3 - 9681300992\/3 = 0.\nAnswer: -1562, -8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-34)\/(-8))\/((-1)\/(-4)). Suppose 4*f + 5 = h. Suppose 2*b = 3*x + 26, 4*b + f*x = x + 20. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 33*q = -1064. Suppose -3*m = 4*w - q, -m + 4 = -2*w + 18. Sort w, -0.2, -2 in decreasing order.\nAnswer: w, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/1)\/(-6 - (-12455)\/2075). What is w rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from hlhhlhlhlhhhhgghlhhh?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -37*w + w + 20*w + 16*w + 111*w**2 + 21. Suppose 4*v - 24 = -6*q + 2*q, 18 = 5*q + 2*v. Let r(x) = 11*x**2 + 2. Calculate q*b(c) - 21*r(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 1 + 0*k + 0*k - 2*k. Let i be v(-3). Determine d, given that 5*d**5 - 7*d**2 + 8*d**2 - d**3 - 4*d**5 - d**i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 17 = -4*u - 3*w, -4*u - 8 = -3*w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w. Let m(n) = 64 - 130 + 67. Let r(q) = -35*q - 2. Let g(i) = 2*m(i) + r(i). Determine b(g(u)).\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 11*h + 3 = 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 - -0.9. Let v be (-8004)\/145*10\/(-2). Let h = 283 - v. What is the closest to 0 in -1\/2, g, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2240)\/3200)\/((-441)\/(-35)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 4949.\nAnswer: 2\/4949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let z = -462 + 464. Let n(f) be the first derivative of -2\/3*f**3 + 1\/2*f**4 + 0*f - 3 + 2*f**z. Calculate -4*a(o) - n(o).\nAnswer: -2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -923 = -4*f + y, 1152 = 5*f - 4*y + 3*y. What is the remainder when f is divided by 175?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -2*o**5\/5 - o**4\/8 - 1184*o**2 + 2*o. Let v(f) = -287*f**2 - 35*f. What is -35*j(h) + 3*v(h)?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = 7. Let b be 2\/(f\/6*4). Let j be (0 + 0)\/(2\/(-1)) + b. Is 3\/13 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqqggz. Give prob of picking 1 q and 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62941, -62899, -62853, -62809, -62773, -62751, -62749?\n\"Answer: -d**3 + 8*d**2 + 25*d - 62973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*g + 138, -2*s - 3*g + 281 = -0*s. Let p = 156 - s. Solve -x - p = -0*i + 2*i, 4*x = -8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940948391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*p**2 + 6188 - 121*p**2 + 60*p**2 - p**3 + 3*p.\nAnswer: -p**3 + 3*p + 6188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 11*d - 24. Calculate c(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 4:04 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239967 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.507861 to 2 decimal places.\nAnswer: 25.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 4028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*(42\/(-9))\/(-1). Let u = b + 1396\/25. Is 0 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, -27859, -1 in increasing order.\nAnswer: -27859, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86229 + 0?\nAnswer: 86229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -306*h**2 - 6*h - 20.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/25 - -1\/25. Let t = -534857 - -534862. Sort -1.2, g, t, -1 in increasing order.\nAnswer: -1.2, -1, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 200*q**7\/7 - 24*q**3 + 256. What is the third derivative of r(i) wrt i?\nAnswer: 24000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/824119 and 64\/3.\nAnswer: 2472357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 71. Let j be k(-36). Let h(u) = u**2 - 40*u + 38. Let b(r) = -r. Let g(s) = j*b(s) - h(s). Factor g(y).\nAnswer: -(y - 38)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(60\/7))\/1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*w + 4*w. Let i = w - -34. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8439599 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 7:05 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -18. Calculate the remainder when (20\/x)\/(6\/(-39)) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(1\/4)*y)\/y*y)\/y)\/(y**(-1\/3)*y)*(y**1*y*y)\/(y*y*y\/y**3)*((y**(2\/11)*y)\/(y*(y*y**(-3\/5))\/y*y))**11 assuming y is positive.\nAnswer: y**(131\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/4 + 211*m**4\/4 - 5403*m**3\/2 - 17279*m**2\/2 + 10807*m\/4 + 34347\/4 = 0 for m.\nAnswer: -3, -1, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13189 and 3379?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 810730.88 rounded to the nearest 10000?\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -288159 (base 11) to base 12\nAnswer: -198553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29523 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 23132 - 69389 + 23126 + 10*n**2 + 23131.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6782 - 10243. Round r to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19076252, -38152489, -57228726, -76304963?\nAnswer: -95381200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5311 or 40527?\nAnswer: 40527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49935 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -119*b**3 + 35*b. Let x(t) = 7*t**3 - 2*t. What is 2*o(g) + 35*x(g)?\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-14 + (18 - 22) + 25)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 5*t**2 - 4*t + 7. Suppose 119*z + 220 = 81*z + 93*z. Calculate u(z).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 716339\/60 + -47749\/4. Let f be ((-12)\/(-14))\/((-2)\/(-238)). Find the common denominator of c and ((-2)\/f)\/((-1)\/(-32)).\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 3\/2, 5\/6, 2, 5, -1\/6968 in ascending order.\nAnswer: -1\/6968, 2\/11, 5\/6, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*x + 78 + 727, 4*x + 161 = -v. Let o = 641\/4 + v. Suppose 5*z = z. Is z at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 1 + 1 + -5. Let s be -3 - (4 + -10 + c). Suppose s*v - 374 = 2*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2247 = -0*c + c, i - 2*c = 573. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.97 + -0.03. Let h = 0.1 + -0.1. Let t = -0.2 - -0.4. Which is the nearest to t? (a) m (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 130, 177, 224, 271, 318?\n\"Answer: 47*v + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let n(z) = -z + 5. Let v(i) = 2. Let l(y) = -2*n(y) + 5*v(y). Determine l(j(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/13 + 394*r\/13 + 396\/13 = 0. What is r?\nAnswer: -1, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((((sqrt(32) - sqrt(2)) + sqrt(2) + sqrt(2) + 3 + sqrt(2))**2 - sqrt(2)*-1*-1)*1 - ((-4*-1*sqrt(2))**2 - (-1 + sqrt(98))**2)) + 4).\nAnswer: -760 - 105*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.794793 micrometers in millimeters?\nAnswer: 0.000794793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - u - 1. What are the prime factors of s(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 13*m**2 - 15*m + 2. Let j(d) = -d - 15. Let l be j(10). Let q = 11 + l. Calculate the remainder when 45 is divided by r(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749 divided by 4?\nAnswer: 1749\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -4\/7, 0.22369.\nAnswer: -6, -2, -4\/7, 0.22369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s. Let b(y) = 2*y - 2. Let v(r) = -6*r + 7. Let q(x) = 21*b(x) + 6*v(x). Give q(c(f)).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 431 + 2013*f - 178*f - 431 + 66*f. Let p(t) = 2*t. Determine b(p(l)).\nAnswer: 3802*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:12 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(432) + 1 + 4 - (sqrt(432) - (-2*(sqrt(432) + 0))**2)) + 6*(1 + sqrt(432))**2*-4 + -2.\nAnswer: -8664 - 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91987092 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8594*p + 469*p + 803894 = 1751*p - 1522*p for p.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.32, 3, 13, -4, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 4) + (-2640)\/48?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15\/2, -2\/9, -0.4 in decreasing order.\nAnswer: 3, -2\/9, -0.4, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 9*s**2 + 17*s - 19. What is the least common multiple of l(-11) and 66?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*1*2)**2 + -3 + -5.\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 714 = 7*z - 49. Suppose z = 4*c - 19. What are the prime factors of ((-56)\/5)\/(c\/(-80))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -50968 (b) 2\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w - 80. Let g be q(10). Let h be -55*-1*(-2)\/g. Solve -h*r = -8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*o + 2*o - 104, -o - 26 = 3*t. Let w be (-10)\/(-3) - o\/39. Suppose -5*y - 37 = -4*j, 5*j + 0*j + w*y = 36. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42977\/10 - 4302. Find the common denominator of ((-3)\/(-35))\/(2\/7) and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 + -5.18. What is the second smallest value in g, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**4 - 6*c**2 + 0*c**4 + 12*c**2 wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 - -96. Suppose b + 2*v - 4 = 0, -16*v = -13*v - n. Let l(z) = 3 + 7*z**2 - 5 + 2*z - 6*z**2. What is l(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + 4*s**2 - 6 + 2*s**2 - 6*s**2 to the form t*s + v*s**3 + o + d*s**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 21 = s + 5*g, 4*g + 18 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 762a717 + 0?\nAnswer: 762a717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-962502)\/76)\/(115\/(-50) + 2). Calculate the greatest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 1. Let l(k) = 5*k + 2. Give 2*l(y) + 7*z(y).\nAnswer: -4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/631, -0.07, -31, -3\/5.\nAnswer: -31, -3\/5, -0.07, -2\/631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + 5*c + 3. Let q(h) = -2*h**2 - h. Let n be q(1). Let l be v(n). Is 3\/l + (-184)\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(-2*sqrt(12)) + sqrt(189)*2)\/(1*sqrt(192)).\nAnswer: 11*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.2 - -38.253. Let c = -233.8 - -234. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -5)\/(132\/297). Let m(p) = 10*p**2 + 2*p - 103. What are the prime factors of m(l)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/6 + 14\/21. Suppose u*b - 5*y + 12 = -3, -4*b + 5*y - 7 = 0. Let j = b - -19. What is the remainder when 32 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42513 and 340104.\nAnswer: 340104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:57 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -14) + (-3 - (-1 - 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3233913441 to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) - -1*sqrt(112)) + -1.\nAnswer: -25*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -10. Suppose -2*o + 5*r = -4 + 19, 4*r - p = -4*o. Suppose o = -3*q - 5*g + 163, g + 2*g = q - 31. What is the lowest common multiple of 10 and q?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -22. Suppose -w*g = 77 - 495. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -9, -5 in descending order.\nAnswer: 11, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -15, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16142 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 69 = 3*i - 40*f + 46, -f + 2 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71848935*d + 151108669?\nAnswer: 71848935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(2 - -1) - (-270)\/297\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1013602059 to the nearest one million.\nAnswer: 1014000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 791*s**4\/2 + 3600*s + 771. What is the derivative of c(v) wrt v?\nAnswer: 4746*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from hhqwhhhhzqkqh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z - 8. Let y(i) = -6*i + 7. What is -5*g(m) - 6*y(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 491490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 824 - 649. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:43 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(-i + 5*i - 2*i)*(35 + 10 + 14)*(1 - 3 + 4).\nAnswer: -472*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 753.\nAnswer: 75300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:14 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/5 - 66*f**2\/5 + 376*f\/5 - 312\/5 = 0.\nAnswer: 1, 6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6097380 and 8?\nAnswer: 12194760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4342, 0 in ascending order.\nAnswer: -3, 0, 4342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2551*r**3 + 1275*r**3 + 1283*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n = -3*f - 41, -2*f = -2*n + 6. Is 1\/((0 + 1)*f\/(-2779)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 251?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -7, -0.8, -0.047?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 524 - 523.6. Suppose 2*g + 5*f - 8 = 0, 3*f = -2*g - 1 + 9. Suppose g*n - 7 = 1. Which is the smallest value? (a) n (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2612 or 2601?\nAnswer: 2601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30002306731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 9*l - 14. Suppose 2*i - d + 4*d - 27 = 0, 5*i - 55 = -5*d. Let t be s(i). Solve t*r = -r - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -1, 2, 2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p - 0*p + 4*d, 2*p + 4*d = 12. Let n(r) be the second derivative of 0 + 7*r + 1\/20*r**5 + 1\/6*r**3 + 0*r**4 + r**p. What is n(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*n - 63, -2*n + 25 = 2*c - 9. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 f when four letters picked without replacement from {r: 4, f: 6, o: 1, d: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/75362 and 83\/4508.\nAnswer: 3466652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 926*v**3 - 222*v**3 - 233*v**3 - 235*v**3 - 229*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530\/(-55) - (-11 + 1).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131706860387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -8548718\nAnswer: 3419487.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.122 + 4. What is o rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11c - -5c?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + 1 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 34*f**2 + 3\/4*f**4 + 0*f + 23\/6*f**3 - 1\/120*f**6 + 2\/15*f**5 + 0. Let m be h(10). Sort 3\/4, 2, 2\/9, m.\nAnswer: 2\/9, 3\/4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34416 = 8874*j + 100641 + 69045 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2 + (3 + 0 - 1)*(-1 - 1 + 4) - 1 + 1 + 2)*(-7 - 2 + 4)*(0 + 3 - 2)*(-49*z + 20*z - 12 + 13*z).\nAnswer: 720*z + 540","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21788.97 - -21789. Which is the biggest value? (a) -4 (b) 3\/4 (c) x (d) 1\/9 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6274215 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -144*2*(-3)\/(-4). Does 16 divide s\/21*(-84)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 9. Let t be x(9). Solve -3*z + 0*j - 2*j = -17, -4*j + 4 = t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 25, 3*v = 5*z + 13 + 27. Let b = -0.5 - -1.5. Let i = 3 + -5. What is the closest to b in i, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 885009 + -1178831891\/1332. What is the common denominator of y and -1\/148?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d**2 + 969*d - 18508. What is n(60)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 1:12 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 128685202?\nAnswer: 128685202.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 2*x - 3*q + 4, 0 = q - 3. Let n(i) = -16*i**3 + i**2 + i. What is the tens digit of n(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 3, 0, -0.2, -34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/11)\/(j*(j\/j**12)\/j)*j**(-8)*j**(-13)*j assuming j is positive.\nAnswer: j**(-98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1072432 = -50*l + 1844189 + 1962393. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - (6 + -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 148 = r + 2*r, 4*g - 4*r - 148 = 0. Let k = -23 + g. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/2436 - -28\/87. Find the common denominator of -99\/52 and y.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - 2. Let f = -0.06 + -0.44. What is the closest to w in 1, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7305 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196020 and 320892.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 20*m**2 - 12*m**2 + 15*m**2.\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2657169 divided by 21603\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/3*(-36)\/(-30). Let j = 13 + v. Suppose 0 = -4*x - 20, -4*n - j*x + 1 = -14. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**23\/g**5)\/(g*g**(-1\/13))**(-37))**(-13) assuming g is positive.\nAnswer: g**(-678)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -518 - 2021?\nAnswer: -2539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d - 3434*d**2 + d - 3024*d**2 + 2174*d**2)*(-1 - 5 + 4).\nAnswer: 8568*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-2)*4*1\/(-3). What are the prime factors of 2\/5 - 1636\/u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqr when three letters picked without replacement from rqqrxqlrqr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1809 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 - 11 + 11 + 6*k**2 + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 168*c + 35. Let o(f) = -29*f - 6. Let k(n) = -6*h(n) - 35*o(n). Let a(r) = 13*r**2. Give k(a(t)).\nAnswer: 91*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14272\/18 + -4 + 148\/36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + sqrt(931) + 2 + -2*sqrt(931))*-4 + (sqrt(931) - (sqrt(931)*2 + -1)) + 3)**2.\nAnswer: 56*sqrt(19) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 6\/39 + 74\/26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 3\/7 (c) -0.2 (d) -2\/9 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4823 divided by -689.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 3 + u + 11 - u - 11 + (-3 + 0 + 1)*(0*u - 2*u + 0*u).\nAnswer: 4*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 7:23 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by -2\nAnswer: -95\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 4, n: 2, f: 1, o: 2}. Give prob of picking 1 d, 1 o, and 2 n.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 584127398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 309 - 303. Let z be (-129)\/86*w\/(-1). Let x(g) = -g + 13. Give x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2685 - -2685.1. Put i, -2\/3, -10, 2\/13 in decreasing order.\nAnswer: 2\/13, i, -2\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(11))*6.\nAnswer: -4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 smaller than -205\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27477827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 567647 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -2 + (0 - -6). Suppose 2*q - 23 = -7*z + j*z, 4*z - 2*q = 12. Which is the biggest value? (a) z (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -2. Let l(a) = -a**3 + 3*a**2 + 3. Let o be l(3). Suppose 4*r + 2*b - 50 + 6 = 0, -5*r + 56 = o*b. What is the greatest common factor of r and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b - 4. Let s = 5 + -5. What is z(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001301 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*w + 15, 2*w = -0*v + 3*v - 5. Solve 8 + 2 = w*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14542, -14434, -14150, -13600, -12694, -11342, -9454?\n\"Answer: 15*d**3 - 2*d**2 + 9*d - 14564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/20)\/((-6)\/(-1215)). Suppose -m = -4*i - 18. Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**4 - s. Let n(k) = -6753*k**5 + 24*k**4 - 7*k + 5967. Let z(y) = -n(y) + 6*r(y). Find the second derivative of z(a) wrt a.\nAnswer: 135060*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/3 - 4*z**3\/3 - 10*z**2 + 24*z.\nAnswer: 2*z*(z - 3)**2*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -4 - (1 + -1). Let g be 12\/(-8)*2 + w. Let i = -3 - g. Solve 3*f = -i*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99176\/(-133584) - (-3)\/(-33)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -9, -8, 5, 36, 91?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*j - 38*j + 10 + 5 - 29*j in the form f*j + s and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -52088*g - 208206. Determine x(-4).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 59 = -2*c, c - 3*k = -14 - 13. Let f be (12\/10)\/((-9)\/c). Suppose 4*b = -w - b - 8, -f*w = b - 44. Calculate the remainder when 34 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 8:23 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -751 - 226 - 215 + 97 - 2*r.\nAnswer: -2*r - 1095","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 57 = 2*z. Suppose o - 6*o - z = 0, 3*r - 5*o = 31. Solve 2*c + 2*c - 2*y + 18 = 0, 0 = -4*c - r*y - 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5195*l**3 - 10060*l**3 + 4866*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 94 = -l, 0 = 5*l - a - a - 521. Calculate the remainder when l is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -80 + 1002. Suppose -56 = 9*v - r. Suppose -g - 4*u + 20 = -2, g + u = 19. What is the highest common divisor of v and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(192\/(-16))*(-8)\/17.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5616 - -5483?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 2, n: 2}. What is prob of picking 1 n and 1 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/329063 + 3719399104\/1645315. Let a = -2271 + b. Let j be ((-3)\/4)\/((-6)\/(-72)). Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3571 (b) 0.4 (c) 0.2 (d) -3.067 (e) -3 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejxi when four letters picked without replacement from jixiximejxi.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - 10. Let k = r + 87. Round k to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -12 + 4. Let a = -10 + 15. Suppose -a*o = -18 - 37. What is the least common multiple of o and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-12)*90\/(-4). Let v = b - 12. Let c be 12\/4 - (2 - -1). Solve 5*o + 17 = -4*f - c*f, -3 = v*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -28 - 29112*o + 29105*o + o**2 - 5*o**2. Let u(v) = v**2 + 2*v + 9. What is -7*u(j) - 2*w(j)?\nAnswer: j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -433, -425, -407, -373, -317, -233, -115, 43?\n\"Answer: r**3 - r**2 + 4*r - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10268 (base 16) to base 2\nAnswer: -10000001001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49778*h**2 + 38536*h?\nAnswer: 99556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567061.37 minutes in weeks?\nAnswer: 155.4624375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g. Let b be -7 + (g\/1 - 1). Let q = b + 8. Solve 0 = 5*t - 5*v - 15, -2*t + v + 2 = -q*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106755 and 1494570.\nAnswer: 1494570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13613875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -1. Let s be ((-28)\/a + -3)*-30. Let d = 32 - s. Find the common denominator of -32\/11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -2*z - 3. Let u = 18 - z. Let t be (-20)\/u + (-21)\/63. Solve t*i + 11 = -1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6261710.12700142 + 6261764.127. Let d = -54 + m. Round d to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.3 (c) -19\/91 (d) -4\/5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/5 + 26\/30. Is 0 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2705\/3 - 1779\/2. Let f = -41\/3 + i. Which is the biggest value? (a) f (b) 7 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) - 32\/(-14). Suppose 4*p + 2 = v*s, -p - 4 = -s - 1. Suppose 14 = -0*j + p*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 1 + (147 - 151)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60724844 to the power of 1\/2, to the nearest integer?\nAnswer: 7793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734*b - 748*b = 2 - 72 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-128))\/(2\/(-24))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48.9624 and -5.\nAnswer: 43.9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076 + -29?\nAnswer: -28.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3*l = -12, 10*q + l - 4 = 8*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/((-87048)\/(-310))*(-48)\/10.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1874904, -1874898, -1874896, -1874898?\nAnswer: -1874904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - y**2 + 2*y**2)*(4*y + 0*y + 2*y)*(2 - 4 + 4).\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:03 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Suppose z*i + i - 420 = 0. What is the tens digit of -33*(i\/(-15) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.4 (c) 16 (d) 0.2 (e) 29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433 a factor of 154786684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 114114, 114101, 114074, 114027, 113954, 113849?\n\"Answer: -u**3 - u**2 - 3*u + 114119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 + 127. Suppose 3*s + 326330 = -z*w - 603276, 2*w - s + 929598 = 0. What is w rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 15, -25, 0.1, 16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 r when three letters picked without replacement from orrrorromfot.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmh when three letters picked without replacement from {h: 3, m: 11, o: 4}?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjcciccccqicqiccjc. What is prob of picking 1 c and 1 j?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 - -10?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 11*b + 31. Let y = -14 + 19. Calculate the smallest common multiple of y and s(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(40950\/(-120)))\/(3\/((-18)\/(-4))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**3 + 6*l**2 - 11*l. Is 23 a factor of o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, -11, 5, 15116, -2, -1\/2, 4?\nAnswer: 15116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.47 in 56, -2\/5, 269, 0.5, 5, -1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r - 8*r + 608. Suppose r*g - 34 = 15*g. Solve v + 3 = s, -g*s - 4*v = -5*s + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-45)\/4) - (3\/45)\/((-9)\/5913)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 594054.66 + 6.1.\nAnswer: 594060.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 + 72.3. Let l = o - 51. Let v = -23.2 + l. Which is greater: v or -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 288\/(36\/6) - (0 + 1). Which is smaller: 95\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9 (b) 0.3 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 5*t**2 + 3*t + 2. Let c be o(-5). List the prime factors of c\/65 - 2\/10*-181.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(13) + 2)**2 - (sqrt(1300) + -1 + sqrt(1300) + 4))*6.\nAnswer: -264*sqrt(13) + 2814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53549108.\nAnswer: 2, 59, 226903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1209\/176 + 131\/16. Let s = 14468 + -318231\/22. Calculate the common denominator of r and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 3:42 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*u + 41 + 363 = -101*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 356014732 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277\/30 - -42\/5. Let m be (-6 - 182\/(-30))*-9. Which is the second smallest value? (a) -1 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 15) in base 4?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/1998*-37*3\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + -1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -706, 4, 0.2 in ascending order.\nAnswer: -706, 0.2, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 400505215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49296 divided by -13?\nAnswer: -3792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 28 - -10) + 6 + -9.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than -46350480?\nAnswer: -46350479.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(512)*-2).\nAnswer: -sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/68)\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306885 (base 10) to base 11.\nAnswer: 19a627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83899 is divided by 20946?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 53*m**3 - 2*m**2 - m + 3. Calculate i(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/10 - 236*g**4\/3 - 55696*g**3\/3 - g - 2727. Factor m(s).\nAnswer: -2*s*(s + 236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - 19.99. Let m = o + 20.15. Let p = m + -2.15. Which is bigger: p or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*l + 209*l - 4*z = -46, -20 = 2*l - 2*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183 - -185. Let p be 7 - 0\/(1 + -2). Suppose f*o - 5*g + 3 = -14, 0 = -2*o + 3*g - p. Solve 0*d - d - o = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47601520 rounded to the nearest ten thousand?\nAnswer: -47600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 4. Let x(t) = -t - 2. Let i(y) = 3*d(y) + 7*x(y). Let l be i(-2). Suppose l = 2*h - 5*h + 24. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 26*q**2 + 11*q - 15656. Determine n(37).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = 0, -5*j + 21 = 2*w - 20. What is the remainder when 63 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505968, 1011852, 1517724, 2023578, 2529408?\nAnswer: 3035208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 3. Let q(y) = 11*y**2 - 2 + 4*y**3 + 3 - 10*y - 5*y**2 - 5*y**3. Let v be q(3). What is x(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106092 less than or equal to -106121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -953 - -1084. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -22*x**3 - 10*x**2 - 3*x - 6. Let d(n) = -23*n**3 - 10*n**2 - 2*n - 4. Determine -3*d(h) + 2*y(h).\nAnswer: 25*h**3 + 10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from ichdzud.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4121.\nAnswer: 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18401 - 7098. Suppose 3086 = n - q, 1037 = 4*n - 2*q - u. Suppose -n = -27*i + 21*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1\/((-4)\/(-12)). Let p(i) = 68*i**3 - i**2 + 3*i**q - 69*i**3. Give p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2628730 divided by -554\nAnswer: -4745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 + -12e7f8?\nAnswer: -12e7d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223884 + -97997. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23667 divided by -21?\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 10. Suppose -6*h + 9*h + 9 = 0. Let r be 16\/(-4) + 7*h\/(-3). Suppose -r*o + 0*u = 5*u - 28, 0 = -o + u + 4. Determine v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 16*c + 297 = 0. Let k = c + -83. What is the remainder when 54 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*u = 903973 - 81292, 0 = a + 3*u - 164534. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -0.5. Let b = v - -1. Let x be (2\/9)\/(2\/12). What is the biggest value in x, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 345*x**2 - 51403*x - 311. Determine w(149).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -316 (b) 581.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u**5*u)\/u*u*u*u)\/u)*u)**46 assuming u is positive.\nAnswer: u**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-4291.\nAnswer: 1716.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:13 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p - p + p)*(6*p**2 - 2*p**2 - p**2) + 27 + 34 + p**3 - 60 + 30*p - 3*p**2.\nAnswer: 31*p**3 - 3*p**2 + 30*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -0.48751.\nAnswer: 6.82514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -482 + 1203. List the prime factors of y.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1270543, 1270524, 1270495, 1270456, 1270407, 1270348?\n\"Answer: -5*o**2 - 4*o + 1270552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*h**2 - 5*h**3 + 3*h**4 + 234*h**2 - 2*h**4 = 0 for h.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 551313436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4661 (base 9) in base 5?\nAnswer: -102312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 21773?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 12, -2*l = -a - 5*l - 8. Let p be (3 + -11)\/a*-5. Suppose -4 - 1 = -5*h + 5*q, 0 = 5*h - 4*q - p. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(288) + -3)**2.\nAnswer: -626 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5, 2*d - 500 = 153*n - 157*n. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*h + 2 = -i, -5*i + 2*h + 23 = 0. Suppose 3*z + 2*q = 15, 3*z = 2*z - i*q - 8. Let j = 33 + z. Round j to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.59 plus 0.3?\nAnswer: -71.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 7 - 9. Suppose 4*w = -12, -2*q - 5*w - 13 = -f*q. Is (9 - -4)*q\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15717554 times 0.3?\nAnswer: 4715266.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13702235.\nAnswer: 5, 223, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91847382 to the power of 1\/3, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/925024 - -561720539\/87877280. Let s = 2662311\/76 + -35031. Let q = s + i. Find the common denominator of 49\/15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6 - 246\/(-36)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10*(-1599)\/312)\/(5\/80).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4792 - -4818. Solve 38*x = n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4708 + 4708.3. What is the closest to 3\/16 in l, -3, 0.53?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-183)\/((-78)\/30 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4.19. Which is the nearest to 0.1? (a) j (b) 0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -42 - 30. What is the greatest common divisor of 90 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1760 - -2250. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.3, -5, -0.07, -1\/2, -12\/197?\nAnswer: -12\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-297)\/66*(2 - 4). Put f, 1, -1, -3 in increasing order.\nAnswer: -3, -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 51*b + 21. Let d(p) = -5*p - 2. Let s(k) = -42*d(k) - 4*y(k). What is the least common multiple of 9 and s(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -130, -406, -958, -1882?\nAnswer: -3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*78\/91*(7\/6)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -236, 3.\nAnswer: -236, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 8*u**3 - 10*u**3 - 16*u - 2*u**2 - 2 + 15*u - 2*u**4 to i*u + g*u**3 + o + r*u**2 + n*u**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(99)*6 + -3) + 3.\nAnswer: -108*sqrt(11) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 != -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1205212136 - -11?\nAnswer: 1205212150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 230430847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from sesykkskshsskskss?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19625108 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8180386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:07 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -838\/5 (c) 2\/9 (d) -0.04 (e) -4 (f) -1\/3 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 81.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1374374, -1374439, -1374504?\n\"Answer: -65*f - 1374309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12989938 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3855327 is divided by 145.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/5 - 0)\/((-4)\/40). What is the greatest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -5\/48*c**4 + 3*c - 1\/12*c**3 - 1\/20*c**5 + 6 + 0*c**2 - 1\/120*c**6. Factor t(i).\nAnswer: -i*(i + 1)**2*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) -9948 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3088 - (-10)\/((-25)\/(-5)). Suppose -a + 16*a = i. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146 + -137. Let m(j) = -138*j**4 - 8*j**2 - 180. Let w(r) = -275*r**4 - 18*r**2 - 359. Let a(q) = h*m(q) - 4*w(q). Differentiate a(t) wrt t.\nAnswer: -568*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2689\/43150?\nAnswer: -2689\/43150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(6) + sqrt(36)\/sqrt(6))\/sqrt(2) - (sqrt(3) + (sqrt(3) + -2*sqrt(3)*2)**2 + (sqrt(48)*5 + sqrt(3))**2).\nAnswer: -1350 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6419706 + -6419706.7999957. Let q = z - -0.8. Round q to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.194 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d = -13*d + 53055. Is 69 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -252 + 198. Let f be b\/81 - 40\/(-18)*3. Let q = -61 + 115. Calculate the highest common divisor of f and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*v - 19*v + 57 = 0, -5*x = 3*v - 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-6*(sqrt(1872)*-2 + sqrt(1872)))**2 - (sqrt(1872)*2)**2*-1 - -2*-1*sqrt(1872)*1)*-2.\nAnswer: -96*sqrt(13) + 299520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8978.007ml in litres?\nAnswer: 8.978007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/(142\/20 + -7). Solve j*k + 3*y = 5*k, 7 = k + 4*y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.99999792 + 3. What is o rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109934139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67560929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20565454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.9 + -15.3. What is y rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {t: 2, o: 2, w: 2, a: 1, p: 9, z: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 36861000 to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.7, -28, -3, 3\/5.\nAnswer: -28, -3, -2.7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 1 + 2 - (-4 + sqrt(80)*1 + sqrt(80) + sqrt(80))) + sqrt(80) + 3 + -1 + sqrt(80) + sqrt(80) + -4 + sqrt(80) + 0)**2*-1.\nAnswer: -345 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/(-6) + (-2)\/4. Let k = -19667 + 235865\/12. What is the common denominator of k and 154\/18 + s\/(-126)*3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14621763 to the nearest 10000.\nAnswer: -14620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 193 = 3*i, i = 4*q + 4*i - 149. Suppose q = 3*s - 10. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + v + 3. Let a be w(-6). Let z = -23 + a. Determine b, given that 19*b - z*b + 2 + 0*b**2 + 32*b**2 + 7*b = 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -684 and -1047.\nAnswer: 716148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l - 6. Let y be m(-6). Suppose -635 = -y*j + 55*j. Suppose 674 = 9*v - j. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -71, -102, -131, -158, -183, -206?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 35 + (0 - 1) + (-3 - 7) - -68?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 1 - (22\/66)\/((-2)\/(-54)). Let a be (-51)\/105 + (-4)\/(-14). Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21167*i - 42 - 40 + 82 + 21159*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(405)*3 - (sqrt(405) - (sqrt(405) + sqrt(405)*1 + sqrt(405))*-4))**2 + -5.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 16 + l - 27 - 15 - 13 - 14 - 4.\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 27*m + 61. What is g(-25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28515364 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**2. Let a(d) = 67*d**2 + 17*d - 14. Let u be a(-16). Let y(s) = -28*s - u + 16866. Calculate k(y(i)).\nAnswer: 6272*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -65.5.\nAnswer: -60.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*a = -16, -1 = -4*l + 3*a - 13. Let v be (-6)\/1 - 33 - (0 + l). Let n = -35 - v. Calculate the least common multiple of 39 and n.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m - 892 + 14*m + 1032. What is b(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 68819.42 hours?\nAnswer: 247749912000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -864 - -327. Let j = -497 - t. Solve -41 = -5*w + 4*q, 5*w - j = w + 5*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2 + 559*h + 115040 = 0.\nAnswer: -160, 719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 76*z - 86*z + 179*z.\nAnswer: 169*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -64484 - -1185?\nAnswer: -63299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 323*m**3 - 2*m + 11. What is the hundreds digit of j(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47 and 0.1.\nAnswer: -46.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*t + 14117 + 1656 - 1628 = 0 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let u be w(-1). Let t be 2\/(-2)*(-9 - (-7 - -1)). Solve -2*h - t = -u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 450*v**3 - v**2 - 146386*v + 491447756.\nAnswer: 1350*v**2 - 2*v - 146386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 8*q**3 - 3*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -59, -5231 in decreasing order.\nAnswer: 27, -59, -5231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 16*v**2 + 15*v + 9. Let h be r(16). Suppose p - 11 - h = 0. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.05, -1, 0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65\/269 + 8285\/6456. Calculate the common denominator of x and 73\/36 + 2\/(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d + 1. Let m = -5753 - -5783. Let h = -7 + 4. Let f(s) = -30*s. Let v(x) = h*f(x) + m*c(x). What is the first derivative of v(o) wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y + 0*y - 4*y. Let p(i) = 3*i + 2. Let r(q) = -q + 5. Let b be r(4). Let j be ((-5)\/(-2))\/((-1)\/(-2)). What is b*p(m) + j*a(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 8*b + 3. Let g be o(-8). Suppose 0*q - 2*q + 10 = 0, g*q = -4*f + 55. Calculate the lowest common multiple of 4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 0.18844\nAnswer: 0.28266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6 and 88\/64125.\nAnswer: 128250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 51*i = 22, 2*h - 27*i = -26*i + 38 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 1. Let n(g) = -25*g**2 + 4*g - 3. Determine -n(a) - 2*w(a).\nAnswer: 25*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/(-225) + -1 + (0\/34 - 1007\/(-15)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 19 - 207 = j, -4*j + 16 = 0. List the prime factors of r.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 + 33\/6. Suppose 0 = 3*y - f*y + 12. Does 5 divide (-1)\/(y\/(-100)*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25806675, -25806676, -25806677, -25806678, -25806679, -25806680?\nAnswer: -25806681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -824 by 206.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/4 + 80067*u**4\/4 + 160137*u**3\/4 + 80069*u**2\/4.\nAnswer: -u**2*(u - 80069)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13801 + -13802. Let f = -23 - -28. Let t(p) = 2*p + 6. Let l(b) = 1. What is f*l(c) + r*t(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 14*b + 14. Let q be c(-12). Suppose -2*j = -j - q. Find u such that 69*u**2 - 24*u - 21*u**3 + 12 - j*u + 2*u = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 71 + 786*m - 71.\nAnswer: -3*m**2 + 786*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 - 15*d**3 - 54*d**2 - 3*d**3 + 4*d**2 + 23*d**3.\nAnswer: 2*d**3 - 50*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 5*k + 6. Let t(c) = c**2 - 6*c - 2. Let x(g) = -6*b(g) - 5*t(g). Let p(m) = 3*m. What is p(x(r))?\nAnswer: 21*r**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 3. Let l(h) = h - 5. Let f(j) = -5*g(j) + 3*l(j). Let u(x) = -2*x - 5*x + x + x. What is f(u(c))?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 19299*j**2\/2 + 46551600*j - 46561250.\nAnswer: (j - 1)*(j + 9650)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -317 - -413. Differentiate -75*j - t*j - 38*j - 28*j - 201 + 56*j with respect to j.\nAnswer: -181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n + 2. Let f be ((-2)\/(-2))\/(-1)*-1. What is the units digit of h(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2749, -5602, -8547, -11584, -14713, -17934?\n\"Answer: -46*o**2 - 2715*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2684 > -5505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15468569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*o - 3*o = -23, -4*d = 4*o + 28. Let z = 1 - d. Suppose -k + 9 = 2*k, -z*k + 15 = -g. Let y(n) = n**3 + n**2 - n - 1. Give y(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otttsoxioojoooitt. Give prob of picking 1 s and 1 t.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:36 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/8)*m**(-2\/7)*(m**1)**(4\/25))**(-8) assuming m is positive.\nAnswer: m**(1\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57931 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/((-96)\/(-772182)))\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1272 and 2455914.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in -4\/5, -1\/4, 7, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 12:14 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o = 46*o + 175. What are the prime factors of (-34428)\/190*o\/3?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16427*q - 11441*q - 4 + 4.\nAnswer: -27868*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 7*p**2 + 10*p - 8. Let s be -1 + (24 - -1) + 2. Suppose -2*n + s = 4*c, 3*n - 4*c = -c - 6. What is the lowest common multiple of h(8) and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 25173.07?\nAnswer: 100692.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -785 divided by -6981.\nAnswer: 785\/6981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 8 - 10 - 11 - 45*u**3.\nAnswer: -45*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o - 52*o - o)*(-10*o**3 - 12*o**3 + 8*o**3 + (-3*o - 4*o + 5*o)*(3*o - 2*o**2 - 3*o)).\nAnswer: 590*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26070 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-45))\/((-8)\/6).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.88 - -0.12. Let i(j) = -2*j - 5. Let o be i(-4). Let d = -1255 + 1255. Which is the nearest to n? (a) -10 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22054123.\nAnswer: 7, 13, 29, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -38\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2822*s**2 + 4699*s**5 - 1290*s**4 - 2348*s**5 - 2350*s**5 wrt s?\nAnswer: 60*s**2 - 30960*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 + 698\/(-18). Let u = -59 - h. Let s = -15 - u. Solve -d = -0*d - 1, 2*b + s*d = 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*n + 269*n = -205*n - 28640 for n.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 18388, 0.155, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 10621782?\nAnswer: 84974256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 701726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 462235.\nAnswer: 1\/462235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21352 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1341, 1451, 1663, 2007, 2513?\nAnswer: 3211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 31 = 4*u + 10, -27 = -5*u - 4*x. Suppose -5*r - 1 = -3*r - t, 3*r - 1 = t. Solve 0 = -v + 4*y + 4, r*v + u*y = -2*y - 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267139 to the power of 1\/2, to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 64*n - 386, 15*i - 10*i + 25 = 5*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 75*y + 1085. Let h be g(56). What is the highest common divisor of h and 5677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/80*n**5 + 1\/24*n**3 - n + 0*n**2 - 1\/40*n**6 + 1\/16*n**4 - 1. Let v(h) be the first derivative of f(h). Factor v(x).\nAnswer: -x*(x - 1)*(x + 1)*(3*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5594577004?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86)\/(-8))\/(20451\/(-204) + 100)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45139, 45138, 45133, 45124?\nAnswer: 45111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 250052341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5\/20 - 7*j**4\/6 - 7*j**3\/3 - 13*j**2\/2 + 2*j. Let k be t(-13). Suppose k = 2*z - 5*z + 11361. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z + 49. Let g be j(-6). Solve -t - g = -2*h, 5*h - 6 = t - 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4)\/((d*(d\/(d\/(d**(-7\/5)\/d)))\/d)\/d))\/(d**(-1\/4))**(-41))**(-48))**(2\/31) assuming d is positive.\nAnswer: d**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1723*i**2 - 1514*i**2 + 20*i**3 - 19*i**3 + (-i + i - 2*i)*(3*i**2 - 2*i**2 + i**2).\nAnswer: -3*i**3 - 3237*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 4. Let a be 4\/5*260\/26. Give z(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 41, 4, 2100 in increasing order.\nAnswer: -18, 4, 41, 2100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/6)\/((-4)\/24). Suppose -13*t + 71 + x = 0. Suppose t*z - 7*z - 591 = -3*g, g + z = 201. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r + 255. Let p(y) = 14*y + 255. Determine -2*p(j) + 3*x(j).\nAnswer: 2*j + 255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + x + 6*x)*(-5*x + 4*x + 3*x) + 90 - 90 + 3*x**2 + 2*x.\nAnswer: 9*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*g + 6. Suppose g*b + 2*b - 764 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 5\/6*i**3 + 0*i**4 + 0 - 6*i**2 + 0*i - 1\/12*i**5. Factor x(r).\nAnswer: -5*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 231 - 236. Put 0, a, 3 in descending order.\nAnswer: 3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 + -100.1. What is the nearest to n in 2, -6\/5, -5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -701425700 to the nearest one million.\nAnswer: -701000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000033084 rounded to 6 decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*u - 2 - 42, 2*u = -5*b + 5. Solve -12 = 14*i - u*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*k + k + 3*b, -b - 2 = -3*k. Solve -2*w = -k + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*t + 2657 = -1439 + 659 - 749 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1782\/1547 + -2\/221. Which is smaller: m or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18093324 is divided by 116?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Let b be -3*3\/(-15)*-5. Suppose 0 = 4*c + 5 - 1. Sort b, c, m in increasing order.\nAnswer: b, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 19 = -h. Let g be (-58)\/(-5) + (-2)\/(-5). Let t = h - g. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11488520 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -93*v**2 - 1625. Let y(w) = 13*w. What is o(y(u))?\nAnswer: -15717*u**2 - 1625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 1055 - 235. Suppose w + x = 6*w. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(((-1)\/(-2))\/((-5)\/(-10))). What is the second derivative of 9*l + 12*l + l - c*l**4 wrt l?\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14*10\/65 - 2\/13. Solve 0 = 4*g + a*v - 24, -g - 4*v = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:22 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/3))**(-30)\/(((d*d**(-1\/9)\/d)\/d)\/((d*d*d**(-6)\/d*d*d)\/d)) assuming d is positive.\nAnswer: d**(-386\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 2870*a**3 + 3*a**2 + 2*a - 2 - 5*a**2 - 5*a. Let m be w(6). Round m to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220000200 - 20222?\nAnswer: 212202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/8 - (6 + (-116)\/16). Suppose -16 = f*k + 3*q + 23, -2*k - 3*q = 24. Is k at least as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/2 - 2\/(-4). Let t be (-3*1)\/a*1. Let p = 7 - t. Solve -3*j - 4 = -5*s, -5*s - 4*j = -p*j - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9*(-3)\/(-2). Let n be o + 1*6*1. Suppose z = -2*z - 2*p + 58, -104 = -5*z + 4*p. Solve 5*d - 5*j + z = 0, -4*d - n*j - 17 = 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixfxixix. What is prob of sequence xfx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17822073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 10*k - 8*k + 0*k to o*k + j and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7*t + 84 = 0. Let c be -1 + 4 - (t + -20). Find s such that 0*s**c + 0 + 0*s**4 + 1\/2*s**5 - 1\/2*s**3 + 0*s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (28\/42 - (-278)\/42).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4*o**3 + g**4 + 148*g**3*o**3 + 17*g**2*o + 3*o**3 + 1 wrt g?\nAnswer: 24*g*o**3 + 24*g + 888*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v + 670. Give r(60).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 183, 411, 729, 1137?\nAnswer: 1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -4*r**3 + 206 + 5\/4*r**4 - 9*r**2 + 0*r. What is the second derivative of y(w) wrt w?\nAnswer: 30*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(sqrt(17) - sqrt(153))**2 - sqrt(170)\/(sqrt(20)\/sqrt(2))*-4.\nAnswer: 4*sqrt(17) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4481 - 0.0281. What is the nearest to 5 in 0.3, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998686.3ms in minutes?\nAnswer: 49.978105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 50575?\nAnswer: 50575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9) - (0 - 0). Let r = 0.299 + 0.001. Let p = -0.4 + r. Which is the closest to -5\/4? (a) 2 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 545*d - 2113?\nAnswer: 545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1277033\/184310 - 2\/13165. Let x = -156651\/2000 - -9482953\/106000. Let t = x - 3\/265. Find the common denominator of t and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 2.65.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291208431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13c809 (base 14) to base 16.\nAnswer: -a7dd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-21)*(-14)\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.42 and 0.8145.\nAnswer: -0.34209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -19, 4, 1, 12, 0.67, 8 in descending order.\nAnswer: 12, 8, 4, 1, 0.67, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2))\/((-6)\/(-8)). Suppose 0 = 24*a - 31*a + 42. Suppose 13*w - 46 = a. Sort w, 2, -5, l in descending order.\nAnswer: w, 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 + 7*t**2 - 3. Let k be y(-2). Let x(n) = k - 5*n + 17*n + 6*n. Determine x(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -73. Let l(y) = -y**3 - 7*y**2 + 10*y + 11. Give l(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413, 243, 71, -103, -279, -457, -637?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*z - 6*z. Suppose 1 - z = -w. Suppose w*a - a = -n + 39, -5*a = n - 96. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -311415\/7 + 44565. Let d = a - 77. Let k = -0.397 - 0.013. What is the third biggest value in d, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*(q*q\/q**10*q)\/q)*q**(-1\/4)\/q)\/(q*q**(9\/4)*q**(-1\/13)*q) assuming q is positive.\nAnswer: q**(93\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-537)\/(-5370))\/((-2)\/40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176907 bigger than 176907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, z: 2, x: 3, h: 3}. What is prob of picking 1 b and 1 h?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 3*t**3 - 3*t**3 + 9*t**4 - t**4 + t**4 + (-2 - 4*t**2 - 7*t + 7*t)*(0*t**2 - 5*t**2 + t**2).\nAnswer: 24*t**4 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -438575 - 11?\nAnswer: -438586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*37384564.\nAnswer: -37384564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.422893 and 3?\nAnswer: 10.268679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4007 - 4009. Which is the second biggest value? (a) 2\/3 (b) -8\/5 (c) k (d) -2\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -2)*(-4 - 130\/15). Let c = d - 36. Solve c*x + 2 = -8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 2*j**2 + 4*j + 9. Let t be 1\/(-1) - (1 - (1 + -3)). Does 11 divide h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 0.08, 3, -5\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/283 + 497\/6509. Let d = -3.1 - -0.1. Let z = d - -3. Which is the nearest to z? (a) -0.5 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z*z\/(z\/((z*z*(z\/z**(-1\/5))\/z)\/z*z)))*z))\/z*z)**1)**(-29) assuming z is positive.\nAnswer: z**(-319\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/720 + 19*r**5\/120 - r**4\/24 - r**2. Let s(a) be the second derivative of m(a). Is s(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5028 and 77\/96?\nAnswer: 40224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) -0.91 (c) -5\/3 (d) 5 (e) -4\/297\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = 2*y, -24 = 72*y - 76*y + 5*o. Let w(q) = -17*q**2 - q - 1. What is w(y)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 17, 5, -482, -0.9 in increasing order.\nAnswer: -482, -5, -0.9, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v + 15. Calculate y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 - 5*q + q + 4*q.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(325)*-2 - sqrt(325)) + sqrt(325) + -3*(sqrt(325) + 2 + sqrt(325)))**2 + -4 + sqrt(117) + -3 + 1.\nAnswer: -117*sqrt(13) + 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -25*z. Solve k + 25 = 5*s, -3*s + 11 + 4 = z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3\/3 + 19810*p**2\/3 + 2903768*p\/3 - 11447040 = 0.\nAnswer: -9756, -160, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.58 - 0.6. Let n = 0.07 - 0.08. Let d = n - 0.19. Sort d, -1, k in ascending order.\nAnswer: -1, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6026 (b) 0.0852 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -16051771*h. Let v(z) = 18*z**2. Calculate v(s(g)).\nAnswer: 4637868340255938*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10736 and 998321852.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6 - 34 = -z, -4*z = c - 67. Let d be (-55)\/(-6) - 4\/24. Let h = z - d. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 809, 817, 831, 851, 877?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 + (-6)\/8 + 49\/28. Let h be -1 + (-12)\/t + 0. Are h and 12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11318.514 to the nearest 10.\nAnswer: -11320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6754 divide 192921822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 38*g - 41*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = 0, -2*y + u = -4*y + 8. Let b be y\/4*0*(-4)\/12. Suppose 2*c - 740 = -5*o + 6*c, b = -c - 5. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1145, -4579, -10303, -18317, -28621, -41215, -56099?\nAnswer: -73273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51 + -11247014?\nAnswer: -11247065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - -9 - (0 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + r - 4. Let c be 3 + -2 + 0 + 2. Let t(d) = 4 + 0 - 15*d + 7 + 6*d**2 + 0 + 12*d. Give c*t(q) + 8*u(q).\nAnswer: 2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by 224\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2285a5 (base 15) to base 16\nAnswer: 192698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 + 725*d - 3521. Calculate n(-186).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 22 - 108)*(h + 0*h + 2*h) + (-3 + 2 + 0)*(2*h + 0*h - 3*h) - 3*h + 0*h - 4*h.\nAnswer: -477*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 12122 = 19*p. Calculate the highest common factor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*h + 5*j, -4*h = -4*j - 22 - 30. Suppose 26 = 3*p - h. Let l = -8 + p. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - g + 9 - 12 + (-g + 2*g + g)*(-1 - 1 + 0) + 0*g + 5*g - 4*g to u + s*g and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49 - 2?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2149 + -3246. Which is greater: -1095 or w?\nAnswer: -1095","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + g**2 + 2*g + 2. Let n be y(0). Let c(v) = -2*v - n*v + 0*v + 3*v. Let k(p) be the first derivative of -p**2 - 1. Determine k(c(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/34 - -28*1421\/(-3332)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.99*2214704\nAnswer: -2192556.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 88*v**2 + 612*v - 1296.\nAnswer: 4*(v - 9)**2*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 547924?\nAnswer: 547924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54.6 - 0.4.\nAnswer: 54.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-38))\/(4088\/77672).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1083 - 1080. Solve d - 16 = -4*x, 3*d - 9 = -p*x + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -110?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/52)\/(z*z*z**(-6\/11)))\/((z\/(z\/z**(1\/19)))\/(z\/(z\/(z*z*z\/((z**29*z)\/z*z))*z))))**(-1\/8) assuming z is positive.\nAnswer: z**(320893\/86944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpbpdcp. What is prob of picking 1 d and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 12, 2*o - 12 = -0*u - 2*u. Is 203 - (-1 - (-2)\/o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -2*s**3\/3 + 37. Let p(k) = -2*k**2. What is p(h(j))?\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2362087, 4724172, 7086257, 9448342?\n\"Answer: 2362085*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*d + 4236 = 52*d - 3900 - 4359 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 223*a**3 + 13*a**2 - 7*a + 32. Is 68 a factor of r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-33)\/(-135)*6\/2\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -503\/6049 - 1\/263. Let c = 17 - 82\/5. Sort c, p, 3 in decreasing order.\nAnswer: 3, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -354, -1402, -3152, -5604?\n\"Answer: -351*a**2 + 5*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 489?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 117, 28703 in descending order.\nAnswer: 28703, 117, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 921610018 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**4 + 4*r**3 - 10*r**2 + r + 3. Let n(y) = -6*y**4 - 3*y**3 + 10*y**2 - 2. Let x(z) = 3*n(z) + 2*u(z). Find the third derivative of x(w) wrt w.\nAnswer: -240*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = -0. Let h(u) = 12*u - 12*u + u**g. Let q(v) be the second derivative of v**3\/6 - 1965*v. What is h(q(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r = 39*r - 1407. Let c = -29 + 44. Calculate the least common multiple of r and c.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1672091*g**3 - 41206*g**2.\nAnswer: 10032546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-36)\/9))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/540*-3 - (-22)\/20. Suppose 9 = 3*l - 0*l. Let c(o) = -2*o**2 - l*o - o + 2*o**3 + 5*o + 0*o**3. What is c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/55*(13455\/2262)\/(-69).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10492079?\nAnswer: 13, 807083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 4*j**3 + 0*j + 3 + 0*j**3 + 2*j**3 as a*j**3 + n + s*j**2 + r*j and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a + 30 = 5*h, 3*h - 5*a = 18. Suppose 2*j + j - 3*x + 9 = 0, -2*x = 2*j + 2. Let f = 8 + j. What is the highest common divisor of f and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -768, 6, -7, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 x when four letters picked without replacement from mxvivmxyvmcmmx?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19372 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 1\/3, 78 in decreasing order.\nAnswer: 78, 1\/3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.068*0.7\nAnswer: 0.0476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7249179?\nAnswer: 3, 7, 61, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m + 9*m**2 - 6 + 2*m**3 - 4*m**3 + 3*m**3. Determine y(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**3 + n - 1. Let l be k(1). Let a(q) = l*q + 2*q + q**2 - 2 + 7. Determine a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2228735*o*s**2 + 2998*o*s - 106*s wrt s.\nAnswer: -4457470*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(1\/4))\/r)**(9\/5))**(28\/3)\/((r**1*r*r)**(-22)*((r\/r**(1\/2)*r)\/r)**31) assuming r is positive.\nAnswer: r**(547\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3835*w**3 + 4234*w**3 + 3364*w**3 - 1857*w**3)*(1 - 1 + w) to the form f*w**2 + j*w**4 + q*w + a + g*w**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8180115.\nAnswer: 3, 5, 41, 47, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/4)\/((-10)\/24 - 0). Put g, 0, -4 in decreasing order.\nAnswer: g, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 - (-187922)\/(-6). Let y = c - -90320. What is y rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p + 2*p)*(-436*p + 857*p - 447*p + (4 - 5 + 3)*(-1 + 1 + p) - 2*p - p + 2*p - 1 + 1 - 2*p + (2 - 7 + 3)*(2*p + 1 - 1)).\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-one eighths of a micrometer?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 - 105 - (-18)\/4.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -248886 + -1?\nAnswer: -248887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -6711 = -6710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 9:30 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54843647 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00076071261 to 6 dps.\nAnswer: -0.000761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2422, -4846, -7270?\nAnswer: -9694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*z + 68 - 8, 0 = -5*h. Let w be (-3)\/z*1 + 34\/8. Does 6 divide (-885)\/(-35) + w\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(76) + 2*sqrt(76) + -3) + 1)**2.\nAnswer: -144*sqrt(19) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*t - 25*t + 8. Let c = -4.075 + 0.075. What is the closest to -1 in 4, 0.4, c, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) + 4*(-44)\/336. Let d be (5 + -4)\/(-1 - 2). What is the third smallest value in 5, s, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o. Let p(i) = -2*i. Suppose 18*z + 95 = -z. Let b(l) = z*p(l) - j(l). Let g(s) = 58*s**2. What is g(b(h))?\nAnswer: 522*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*h - 51 = 0, f - 4*f + h = -71. Suppose f = 3*x - 2*o, -3*x - 9 = 4*o - 1. Let n be 4397 - (5 - (4 + x)). Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 913 - 875. What is the highest common divisor of 133 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83928 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86802 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 73. Let y be 11 + -6 + r + (-4)\/(-1). Suppose y + 4 = v. Calculate the remainder when 64 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 71*d + 22. Determine o(36).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6729 divided by 2243.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-one halves of a day?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210101211 - 1110?\nAnswer: -210110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6617034 + -5?\nAnswer: 6617028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 18. Suppose 0 = -2*w + p - s, -5*w - 3*p - 62 = -2*p. Let h = 24 + w. Solve 4*l = -5*g + 3*g + 16, 0 = -4*g - 4*l + h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27762 and 560?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -z - 1, -z + 62*g = 64*g + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 3, t: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*c + 3*c. Solve c*l + 3 = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 28*v**2 + 330*v + 853. Calculate u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4915 + 23200 = 23*b. Calculate the greatest common divisor of 159 and b.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-10)*-15*6\/(-27). Let p = x + -7. Suppose -2*v - 33 + 37 = 0. Put v, 4, p, -3 in descending order.\nAnswer: 4, v, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.03, 0, -2\/9, 221?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(sqrt(504)\/((4*sqrt(16))\/sqrt(2)))\/(sqrt(81)\/((sqrt(63) + sqrt(567))\/sqrt(7) - sqrt(9))).\nAnswer: -9*sqrt(7)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 + 10*o - 1. Let f be l(3). Which is smaller: -0.28 or f?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000368044 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57577, 115584, 173587, 231586, 289581?\nAnswer: 347572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -684, -1001, -1526, -2259, -3200?\n\"Answer: -104*y**2 - 5*y - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iijj when four letters picked without replacement from jijiii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 198, 231, 288, 375?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*o + 61521 - 48423 for o.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -44*k**2. Let v(t) = 4*t**2. Determine 3*l(z) + 32*v(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5402, -19660, -43428, -76700, -119470?\n\"Answer: y**3 - 4761*y**2 + 18*y - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4376808445?\nAnswer: 5, 875361689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8237263g to nanograms.\nAnswer: 823726300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + 7. Let b = n - 2. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -101027*n - 2128. Is f(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 864\/(-2 + -2)*(14 - (-464)\/(-32))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000098012 to 6 dps.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 365923 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.096 - 8.396. Let b = z + 8. What is the closest to 1\/2 in 2\/21, 2, b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 18*s + 2. Let j be c(-9). Let d be ((-460)\/(-55))\/j - (-14)\/(-77). Factor 2\/3*n**5 - 2\/3*n + 0 + 0*n**3 - 4\/3*n**2 + 4\/3*n**d.\nAnswer: 2*n*(n - 1)*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*q, 0 = -k - 0*q - q. Suppose -3*o + k - 12 = 0. Let i = o + 10. Calculate the remainder when 28 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6887779289*t + 6887779289*t + 4*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 14*i**2 + 17*i**2 - 5*i - 2*i**4 + i**3 + 2*i + i**4 to p*i**2 + x*i**4 + w*i**3 + a*i + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Suppose l*p + 99 = -p. What is p rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + t - t)*(-2*t + 4*t - t) + 0*t**3 + 0*t**3 + 2*t**3 - 3*t**3 - 8*t**3 + 3*t**3 + 2*t**3 + 2*t**3 + 0*t**3 - 7*t + 4*t**3 + 0*t - 2*t**3.\nAnswer: -t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12.196 * 37\nAnswer: -451.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q*t**2 - 2*q + 3*t**2 + 90*t + 43886 wrt t.\nAnswer: -6*q*t + 6*t + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/((-11)\/(-55)). Let d = 0.1 + 0. Which is the closest to d? (a) z (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/495 and -13\/315?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11\/57841?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.43 + -0.03. Let g = 0.4 - h. Let u = 13.77 - 13.37. What is the nearest to -0.2 in g, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/57 (b) 1\/5 (c) 2\/3 (d) -0.8 (e) -5 (f) 8 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/4 - (4 + -3). Suppose -x = -6 + h. Let t(z) = -x + 5 - 2 - 28*z. Let j(q) = -q**2. Determine t(j(w)).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(418) - (sqrt(418) + (sqrt(418) + (sqrt(418) - (sqrt(418) - sqrt(418)*-2)) - sqrt(418))))\/sqrt(11))\/((sqrt(16)*1)\/sqrt(8)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 409825914*m**3 - 946186446*m?\nAnswer: 2458955484*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 - 5*z**2 + 0*z**2)*(-2*z - 2*z + 2*z)*(-3 + 5 + 0)*(1 + 1 + 2) to x + h*z**2 + y*z**3 + s*z and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**0*i))**(12\/11))**(2\/5))**6)**(-9) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1062)\/(-42) + 4\/(-14). Solve 6*z + f = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -2. Let b be 2 + -1 + l\/(-4). Calculate the highest common divisor of 14 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpibmmrbrmmmem. What is prob of picking 1 p, 1 r, and 2 m?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 4*n**2 + 3*n + 1. Let w be f(3). Let y be w*(-1 - (-1)\/3). Let c be 3 + ((-50)\/3)\/5. What is the closest to y in -0.4, c, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018406 rounded to 5 dps?\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*g = -87, -i = -g - 52 + 9. Calculate the remainder when i is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + -8 - (-15 + (6 - 6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -136 + 37 + (5 - 43).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -5) + (-66)\/39*5?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -20, -7, 10, 31, 56?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -311 - -283. Which is the biggest value? (a) f (b) 7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196\/(-224)*1160\/70*(-9)\/3*2?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.26 from -0.1932322.\nAnswer: -0.4532322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1661*y + 3163*y = 79606 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2772 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 p when three letters picked without replacement from upnuupnuufuuufuffuuf?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Which is the biggest value? (a) 4 (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9754949 by 2.\nAnswer: -9754949\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*z + 226*z = 50 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -4\/3*x**2 - 5*x + 1\/30*x**5 - 28\/27*x**3 - 13\/54*x**4 - 2. Factor j(h).\nAnswer: 2*(h - 6)*(h + 1)*(3*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 + 6 + 4*y - 2*y**2 - 2*y**2 - 11*y. Let d be q(6). Suppose 2*h = -x + 107, 4*x - 3*h + d*h - 439 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcxkouomk. What is prob of sequence cmo?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 7.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5 - 2176*t**4 + 19848*t**3 - 33152*t**2 + 15484*t = 0. Calculate t.\nAnswer: -553, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -48)\/(1 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3987 is divided by 181?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -28, -1, 20, 1536 in descending order.\nAnswer: 1536, 20, -1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18 - -15) + -16 - -3539. What is the greatest common divisor of f and 762?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(75) + 2 - 1*sqrt(75)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 821534397 to the power of 1\/3, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 798830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**2*w**2 - 626*t + 6853*w**2 wrt t.\nAnswer: 6*t*w**2 - 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f - 5*f. Let w(c) = 7*c**3 + 6*c**2 + 8*c + 3. Let n(o) = -6*o**3 - 5*o**2 - 7*o - 2. Let u(h) = -5*n(h) - 4*w(h). Is u(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*s + 3*s + 2*s. What is the fourth smallest value in 1, 0.4, s, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3110*n + 5082*n - 4345*n)*(4*n - 15*n - 10*n) as o + j*n**2 + q*n and give j.\nAnswer: 49833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1582, -1724, -1962, -2296, -2726?\nAnswer: -3252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooollovooqq. Give prob of picking 1 o, 1 l, and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64934*t**3*y**3 + 470403002*t**3*y + t*y**2 + 3687*y**6 wrt y?\nAnswer: 389604*t**3 + 442440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26 + 2 + -5)\/(-1). Suppose -2*c + 72 = 5*m, -4*m + 19 + g = 4*c. Let t = -5 + m. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/23544 and -25\/5232?\nAnswer: 47088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*n + 74 = 0, 0 = -1662*i + 1658*i + 7*n + 102 + 77 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c + 1. Suppose 30 + 0 = -5*a. Let o(j) = 19*j - 6. Suppose -5*v - 48 = 147. Let k(s) = a*o(s) + v*i(s). Find the first derivative of k(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -948137653*a**3 - 1164385633*a**2.\nAnswer: -5688825918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -27. Calculate the least common multiple of 6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from vusuussvvvuzvuvvu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -650985237638.\nAnswer: -650985237629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 2*v**5\/3 + 5*v**3\/2 - 35*v**2. What is the first derivative of q(i) wrt i?\nAnswer: 80*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/11, -4\/5, 2\/15, -0.2, -38, -1\/2, 82?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5.6. Let q = 0.9 - y. Let x = -1376\/4119 - -1\/1373. What is the closest to -1\/6 in q, 1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffyyfffqqffqqf. Give prob of picking 1 f and 2 y.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179 - 2203\/12. Let z = m + 71\/12. What is the smallest value in -0.7, z, -0.5, 20?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1060 + 1107. What is the remainder when 143 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 12*p**2 - 3*p - 16. Suppose 245*y = 250*y - 45. What is the hundreds digit of u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 1, o: 1, b: 1}. What is prob of sequence ttm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 + 1 - 1)*(-1 + 4 - 4) + 22*q**2 + 29*q**2 - 45*q**2 + 2*q**2 - 5*q**2 + q**2 to the form a*q**2 + t*q + k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 305554216 + -305554228.00000006. Let o = g + 12. Round o to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1 - 22*o + 4 - 4. Let z = 2 - 7. Is s(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*i - 17*i + 9*i to m + f*i and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34628*y**2 + 40410 wrt y.\nAnswer: -69256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58391734*i**4*j - 81*i*j + 83*i + 487*j wrt i?\nAnswer: -700700808*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + a - 21. Let f be z(5). Let l(k) = 3*k - 5. Let c be l(f). Solve -3*x - 3*m = 15, -6*x - c = -x + 4*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 112037635 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143201 - -554?\nAnswer: -142203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-414)\/((-3)\/3) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 387*t. Let m(b) = -385*b**2. Calculate x(m(u)).\nAnswer: -148995*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 14*p. Suppose -4*f + 3*g - 3 = 0, -f - 2*g + 16 - 3 = 0. Let x(n) = -11 + 5*n - f*n - 4*n + 3*n. Calculate x(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 893229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7224 + 7250. Solve 28*o - u*o - 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2037*p. Let n(s) = s**2 - 12*s - 4. Let c(k) = 2*k**2 - 21*k - 7. Let a(h) = 4*c(h) - 7*n(h). Calculate a(x(g)).\nAnswer: 4149369*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, r: 7}. Give prob of sequence ryy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4194 and 15\/56852.\nAnswer: 511668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 11*k**2 - 14*k + 4. Suppose r + b + 9 = -0, -4*b = -3*r - 48. What is the tens digit of o(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.471 - 3.471. Put 10, c, 2, -2\/7 in descending order.\nAnswer: 10, 2, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 422 and 250246.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.3, -19333, 3, -510?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 726.6 from -221.\nAnswer: -947.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 377\/(-26))\/((-63)\/(-12)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**2 + 1 - 88*u - 248713*u**5 + 248593*u**5 + 0 wrt u?\nAnswer: -2400*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5752.1kg in tonnes?\nAnswer: 5.7521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**3 - 2*c**2 + 4*c - 14. Let s(r) = -3*r**3 + 3*r**2 - 3*r + 13. Let k(x) = 4*i(x) + 5*s(x). Give k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -66. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 176*x + 232*x + 12*x - 360 - 137*x wrt x.\nAnswer: 283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from fdfbfbffdfadfq.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -89, -93, -97?\n\"Answer: -4*w - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*d + 63*d - 8304*d**3 - 1 - 2*d**2 + 32*d + 52*d - 125*d wrt d.\nAnswer: -49824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*z = -579*z - 2570*z - 52803 + 6818 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.7 * -18.\nAnswer: 1416.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -2*o**4 - o**3\/3 + o**2\/2 - o - 23. Give p(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 35739 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p = 2940 + 6762. Let x = 417 + p. What is the greatest common factor of x and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 s when four letters picked without replacement from {g: 3, s: 4, c: 2, r: 2, f: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - l + 4 = -7, 0 = -5*k + 2*l - 26. Let p = 4 + -2. Which is the nearest to 1? (a) k (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adaaddadaaaad. Give prob of sequence daad.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*n - 52*n - 52*n + 162 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 20 + 27 - 92 - 323*h + 19.\nAnswer: -323*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*r = 5*c - 112*r - 244, -c = 5*r - 74. Calculate the highest common factor of 8404 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 164181, 165890, 167599?\n\"Answer: 1709*q + 162472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 - 6*h - 4. Determine t(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 17. Let n = -0.37 + 0.07. Let r = -0.1 - n. Sort r, m, -5.\nAnswer: -5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77946942 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**4\/4 - a**2 - 6*a + 2486. Determine l(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 4, s: 10, u: 1, v: 4}. What is prob of picking 1 b and 1 s?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*(o\/(o\/(o*o*o**(-2\/5)*o))*o*o)\/o*o*o)\/o)\/o)**(-2\/47))**(18\/13) assuming o is positive.\nAnswer: o**(-828\/3055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -23*x - 29. Give m(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64806 - 0.36775.\nAnswer: -64806.36775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28736213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -44*j - 178. Give a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -248, 5, -4\/5?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + w = 9, 3*g - 217 = w - 210 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 671 = -67*o - 1525 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 49, -106\/57, 0.8 in decreasing order.\nAnswer: 49, 0.8, -1\/4, -106\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 0, 2*d + 0 = 2*v - 2. Is v at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvqe when four letters picked without replacement from qqveyvyyyqvvy.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3760\/75 - (-8)\/(-60) - -1. Let d = 55 - y. What are the prime factors of 183 + d + (-2)\/((-2)\/(-7))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*10\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/723 and -5\/21.\nAnswer: 5061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 297*t**2. Let d(m) = -2*m**2. What is d(n(j))?\nAnswer: -176418*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 - f**2 + 4*f**3 + (0*f**2 - f**3 + 0*f**2)*(-3 - 3 + 7))*(7299 - 6907 - 5*f + 3*f) as a + b*f**4 + s*f**3 + l*f**2 + d*f and give s.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 11) to base 2\nAnswer: -10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -111, -255, -477, -789, -1203, -1731?\n\"Answer: -2*d**3 - 21*d**2 - d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 8. Give r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = -8*g + 90. What is the derivative of 13*j + 230 - 268*j**g + 139*j**3 + 41 - 30*j + 133*j**3 wrt j?\nAnswer: 12*j**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.131.\nAnswer: -0.0262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686888217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37780*q - 19227 = 38157*q for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 4*g**3 + 4*g**3 + (3*g**2 + g**2 - 7*g**2)*(-g + 13*g + g) + 0*g**3 + 0*g**3 + 7*g**3 to the form x*g**2 + t*g**3 + m*g + p and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10310 (base 5) in base 11?\nAnswer: -591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4952 - -13?\nAnswer: 4965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14701242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 192.89 and -884391?\nAnswer: 884583.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1998189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6225*t - 455*t - 751*t - 171*t as b + v*t and give v.\nAnswer: -7602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, y: 3, r: 3, c: 1}. What is prob of picking 3 r and 1 c?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.371543ms to microseconds.\nAnswer: 6371.543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.664 - -0.316. Let f = a + 0.02. Let v = f - 5. What is the nearest to 0.1 in 1\/3, v, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/4 + 4*v**5\/15 + 2*v**4\/3 + 3*v**2 - 722*v. Let p(k) = -6*k**3 + 3*k**2 + 3*k. Give 16*p(d) - 3*r(d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 13*m**3\/6 - 403*m**2\/2 - 6*m + 1. What is the derivative of p(a) wrt a?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 71.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(27)\/((sqrt(90)*-1)\/sqrt(10))*5 - (0 + (-1 + sqrt(192))*-4)*-5)**2.\nAnswer: -5600*sqrt(3) + 59200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 4, a: 4, v: 5, m: 1}. What is prob of sequence ra?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(208) - sqrt(208)*-1))\/(sqrt(100)*4))\/((sqrt(32) - (sqrt(32) - sqrt(352)\/(-2*sqrt(11) - sqrt(11))))\/(sqrt(56)\/sqrt(28))).\nAnswer: -9*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - h = 11931, 462 = -l + h + 3447. List the prime factors of l.\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 924*x + 398. Is u(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 136028*r**2 - 58*r - 20. Let l be s(17). Suppose -19*u = -l - 16168914. Round u to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 6*d - 10. Let n be 1 + -7 + 2\/d. Let a(y) = y**2 + 2*y. Let b(i) = -i**2 - i. Calculate n*b(w) - 3*a(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 5. Which is greater: m or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25334 - 32*o**3 + 25334 + 30*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.3 + 9.27. Sort 3, -0.4, x.\nAnswer: -0.4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2. Let i(p) = -4*p + 2. Let v(z) = 21*z - 11. Suppose -16 = 5*r + 2*x, -3*r + 2*x + 3 = -x. Let b(o) = r*v(o) - 11*i(o). What is l(b(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 4*q**2 + 3*q - 4. Calculate the remainder when 13 is divided by g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 5:27 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -71\/4*g**4 - 11 - 2*g**2 + 7*g - 5\/3*g**3. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -34026?\nAnswer: -34026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-4)\/4 - -3. Suppose -80 = o + w*o. Let x = o + 21. Solve 0*z - x*z = -5, -3*d + 5*z = 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*(-3)\/(-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 + 4*c**4 - 3*c**4)*(-3 + 2*c + 3) + c - 7 - 9649*c**5 - 1 + 9646*c**5.\nAnswer: -c**5 + c - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s - 105. Let a be v(16). Let m = a + 345. What is the lowest common multiple of 10 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 774*a**2 + 352183*a + 5920. Calculate p(-455).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2832800 and 89\/160.\nAnswer: 2832800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 25.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*(-9)\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 118*s**2 + 604*s - 54067. What is d(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7\/27, -1\/2, -3, -4\/9.\nAnswer: -3, -1\/2, -4\/9, 7\/27, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.14 - 3.03. Let s = r + 0.8. What is s rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6891702, 13783412, 20675122, 27566832, 34458542, 41350252?\n\"Answer: 6891710*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1122 and 9702?\nAnswer: 164934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 - 1330 = -5*j. Factor 152*t + 648 + 270*t + j*t**2 + 370*t.\nAnswer: 2*(11*t + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14493 + 14510. What is the highest common factor of i and 7361?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 10 = -56*r + 55*r, -3*r - 12 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i = 14*i + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -262*f + 4. Let w(s) = -33*s**2 - 69. Determine r(w(j)).\nAnswer: 8646*j**2 + 18082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 34. Let k = 389 - q. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - h**4 + 8*h + h**2 - 4*h**2 - 9*h as y*h**4 + r*h**3 + z*h**2 + k + n*h and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2816 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*g**3 - 3 - g**3 + (4*g - 6*g + g)*(2*g**2 + 2*g**2 - 2*g**2).\nAnswer: -g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -450?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74973743.\nAnswer: 13, 431, 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -481, -475, -465, -451, -433, -411, -385?\n\"Answer: 2*p**2 - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -95, -117, -119, -95, -39, 55, 193?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/30*628 + (-100)\/3500*140\/30?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -5.8. Let k = -37 - -39. Let f = k - d. Which is the third smallest value? (a) 0 (b) f (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0146274045 to 5 dps.\nAnswer: 0.01463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 7 (c) 18 (d) -3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 331, 347, 357, 361, 359?\n\"Answer: -3*p**2 + 25*p + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12)*-2)\/(1276\/103356)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896*c**2 + 1813*c**2 - 911*c**2 - c**3.\nAnswer: -c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - j**2 - 4*j + 4. Suppose m = -4*m + 15. Let h be z(m). Let q = h - -36. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)*w**6 assuming w is positive.\nAnswer: w**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/15 + 4\/(-10). Let s = 4 - 3. Is s greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -8) + (-52 - (47 + -102)) - (-62 - -2)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 31. Let y(m) = -m**2 + 0*m**2 - 6 + 0*m**2 + 8*m. Determine y(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + y**2 + 5)*(-131*y + 219 - 110 - 114) - 29*y**3 + 27*y**3 + 6*y - 3*y as h*y**3 + t*y**2 + w*y + u and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(500) + 2)*-1 + 1 - (((2 + sqrt(500))*4 - sqrt(500)) + 4 + -5))**2.\nAnswer: 240*sqrt(5) + 8009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 4*y - 2. Let v be r(3). Solve 2*s + 0*m = -v*m - 2, 3*s = 4*m + 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 46, 4, -2, 5 in increasing order.\nAnswer: -2, 4, 5, 17, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.9 + 14. Let j = -4.3 - -0.3. Which is the second biggest value? (a) v (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:54 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + 16 + 54 - 52?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-7)\/21 - 2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1779307 to the nearest one thousand.\nAnswer: -1779000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + 24, 19*p - 19 = -22*p + 39*p + 2*d - 3*d - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 - 4*g**2 + 32*g - 5. Let n(h) = 5 - 3 - h**3 - 3*h**2 - 11*h + 4*h**2. Let b(z) = 4*m(z) + 11*n(z). Is 18 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Suppose -r - 4*r = -15. Suppose p = -3*p - 5*k + 13, -r*p + 2 = -4*k. Let l(i) = -4*i**2 - 3*i**2 + 2*i**2 + i**p. Determine l(t(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/14445 and 16\/10593.\nAnswer: 158895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1904345, -3808731, -5713123, -7617521, -9521925?\n\"Answer: -3*r**2 - 1904377*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66 + -3?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/14 + (-8)\/(-28). Let v(i) = 150*i. Let n be v(y). Suppose 48 = -2*o + n. Round o to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 9*q - 4. Let c be w(9). Put 100, c, -3 in decreasing order.\nAnswer: 100, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -60 - 3*f + 60. Let x(z) be the third derivative of 7*z**6\/360 + z**3\/2 - 8*z**2. Let r(p) be the first derivative of x(p). Determine m(r(i)).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16470956?\nAnswer: 2, 29, 141991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 + 354 = -v. Let g = v - -938. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-8))\/g**1)**(-6))**12 assuming g is positive.\nAnswer: g**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(135) - sqrt(135)*-2))\/(sqrt(5) + sqrt(605) + sqrt(605) + sqrt(605)*-1))\/((6*2*sqrt(72) + sqrt(72))\/(sqrt(8)*-2*-4)).\nAnswer: -12*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9435442g?\nAnswer: 0.0000009435442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*x = 2*k + 12, 28 = -3*x - 4*k. Let w = x + 11. Calculate the lowest common multiple of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 46*y + 11. Let v(l) be the first derivative of -3*l**3\/2 - l**2 + 116*l - 115. Let g(d) be the first derivative of v(d). Determine 11*g(o) + 2*r(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**3 - 5*h**2 - h + 5. Let l(i) be the first derivative of -1\/2*i**4 + 2\/3*i**3 - 2*i + 209 + 0*i**2. Calculate 5*l(c) + 2*o(c).\nAnswer: -4*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 4 + 2)*(0 + 4 - 2) + 3 + 0 - 4 - 2 + 2 + 3)*(2*d + 1 - 1) to the form c + l*d and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -124465848*p. Let s(r) = -r**2. Determine f(s(m)).\nAnswer: 124465848*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + 21. Suppose -d = -4*q + 101. Let k = q - 9. Calculate the greatest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 121\/(-605)*(-5)\/(-66). Sort 1.3, a, -1 in decreasing order.\nAnswer: 1.3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4136*t + 467. Is p(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -14*q - 13. Let s be c(-11). Let k = s - 130. Solve 17 = 2*g + k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 a when four letters picked without replacement from ruvraaaalaaaaaall.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 10*m + 4. Let g(o) = -3 + 4*o - 2*o**2 + 4*o**2 - 13*o. Let b(y) = 3*c(y) + 4*g(y). What is the second derivative of b(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.175 (b) 2847 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 26. Solve x = -5*i, 4*f - 3 = i + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*o - 81547 = -d + 69*o, 5*o = 25. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + m**2 - 11*m - 60. Calculate d(10).\nAnswer: -1070","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -11\/30*j**5 - j**2 + 3\/8*j**4 + 1\/12*j**6 - 219 + 2\/3*j + 7\/18*j**3. Determine p so that l(p) = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 533 + -66. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4, 5*i = -0*r - 3*r + 140. Let g = -199\/5 + r. Which is the fourth smallest value? (a) 0 (b) g (c) 2\/5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 4:06 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dddddddwddwwdd?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n - 18*n**2 - 12 + 3*n**2 + 29*n + 13*n.\nAnswer: -3*(n - 2)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((6*sqrt(153)*-1 + -6*(sqrt(153) + (sqrt(153) - sqrt(153)*-1 - sqrt(153)) + sqrt(153)))*-4)\/(2*sqrt(81)\/(sqrt(576)*1)))**2.\nAnswer: 2506752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2724, 28800, 114370, 281010, 555744?\nAnswer: 965596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 12. Suppose 2 - 24 = -2*q. Let i be f(q). Let o be ((-2)\/(-4))\/((-3)\/30). What is the closest to 0.1 in o, -2\/9, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b5 - -3?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 200031?\nAnswer: -200033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 - 736*r**3 + 35508*r**2 - 78512*r - 928256 = 0. Calculate r.\nAnswer: -224, -4, 7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2597*d**3 + 3*d**2 - 25*d + 2 - 2593*d**3 + 4 = 0. What is d?\nAnswer: -3, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) - (-82)\/8. Let r(s) = -1272*s - 1274. Let k be r(-1). Sort k, 0, g in descending order.\nAnswer: g, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 11*l - 21. Let q be i(7). Let j(r) be the third derivative of -r**6\/120 + 2*r**5\/15 - r**4\/4 - 6*r**2. Is 7 a factor of j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**3\/3 + 1. Let t(i) = 14*i**2. Let m be (-17)\/3 - 3\/9. Let g(f) = 5*f**2. Let d(a) = m*t(a) + 17*g(a). Determine o(d(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 306 + -304. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3108, 6237, 9366, 12495, 15624?\n\"Answer: 3129*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Let p(x) = -2*x - 1 + u. Let j(i) be the first derivative of -i**3 - 3. Calculate j(p(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 347? (a) 3 (b) -0.5 (c) 4166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:24 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2919785*h*k**2 - 105*h*k + 6*h + 2*k + 44 wrt k.\nAnswer: -5839570*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 1. Let v(g) = 9*g + 4. Let u be -104*-4*(-6)\/(-96). Determine u*j(z) - 6*v(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 24. Is 10 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 19. Let z be o(-8). Solve -2*x + 3*x + z = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 3, h: 1, e: 1, w: 1}. Give prob of sequence ye.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 446 - -56. Let k = -499 + j. Solve -k*o + 2 = -3*l + 14, 6 = -5*o - 2*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1806876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 59, 49 in increasing order.\nAnswer: 1, 5, 49, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*g - 19, -68*k + 2*g - 14 = -70*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 13890 + 26445. List the prime factors of u.\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.39 - 0.21. Let q = -30\/203 - 4\/29. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or -79276?\nAnswer: -79276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 17*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1.44, 0.028.\nAnswer: -1.44, -2\/9, 0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/15 - (-276)\/115. Suppose 4*n = -y + 70, 129 = y - o*n + 41. Calculate the remainder when y is divided by 59.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1165 + -1168. What is the nearest to a in -0.1, 0.2, 0.07?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -323 + 328. Let v(u) be the third derivative of 0 - 4\/15*u**r - 1\/30*u**6 - 2*u**2 - 4\/3*u**3 + 0*u - 5\/6*u**4. What is l in v(l) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 5:34 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1726956 by -6.\nAnswer: 287826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**4\/12 - 4*l**3\/3 - 5*l**2\/2 - 7*l. Let q be z(9). Solve -4 - q = x - 2*t, 3*x = -2*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/9))**(3\/10)*((v**(-1\/6)*v)\/v)\/v**(2\/13))**35 assuming v is positive.\nAnswer: v**(-1057\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 267638610 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 39 - 84 = 0. Suppose -73*h - d = -68*h. Let z(q) = -q**3 - 10*q**2 - 3*q + 30. Let n be z(h). Put -1, 2, n in descending order.\nAnswer: 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -107594*m**3 + 107594*m**3 - 495*m**4 + m**2 - m**2 - m**4 + (0 + m + 0)*(-2*m**3 - 2*m**3 + 2*m**3) + 3*m**3 - 3*m**3 + m**4 + 0*m**4 - m**4 + 0*m**4.\nAnswer: -498*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1057773702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 12:26 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -2*t**6\/15 - 2*t**5 - 13*t**4\/3 + 40*t**3 - 72*t**2 - 178*t. Suppose l(k) = 0. Calculate k.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 0*p**2 - p**2 - 2*p**2 + 2*p**2 - p**2 + p**2 + (-p + 2*p + p)*(-2*p - p + 4*p) to the form b*p**2 + x + i*p and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (1 - -3 - (43 - (50 + -4)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(2\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/22 + 24\/11. Suppose -3*z = 2*z - 30. Suppose -z*s + i*s = -88. Calculate the smallest common multiple of s and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 52. Which is the third biggest value? (a) 2 (b) -1 (c) -1\/2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 676642*m**3 + 350799*m**2 wrt m?\nAnswer: 4059852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -15*g - 5. Solve g = -3*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 h when three letters picked without replacement from hhkwkhwwwhhwhhhhww?\nAnswer: 63\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 4, p: 1, z: 1}. What is prob of sequence ttht?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*c**4*o*v - 1956*c**4*v - c**3*o*v + 2*c**2*o*v + 2*c**2*v + 248*c**2 + c*o - 4*o*v wrt c?\nAnswer: 864*c*o*v - 46944*c*v - 6*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 377622\/5 (b) 2\/9 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 53 = -2*l. Which is smaller: l or -252\/13?\nAnswer: -252\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 12*a + 6*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9509, 33423, 73273, 129053, 200757, 288379?\nAnswer: 391913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/18320806 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + u - 1. Let q be t(-2). Suppose -q*g - 3*f + 18 = 0, -2*f + 11 = -0*g + 3*g. Let y be 4 + g\/(9\/(-6)). Is 3 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.29 + -1.39. Let i = 42 + -39. Suppose -2*j + i*n - 8 = -0, 4*n = 0. What is the third smallest value in 0.5, j, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53267182 at most -53267176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103524168, 207048336, 310572504, 414096672, 517620840?\nAnswer: 621145008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-259892 + 379*n + 259892)*(-1 + 0 + 0).\nAnswer: -379*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 4*m + 7. Let t be k(-5). Suppose 0 = -5*v + 4*i - 5 - 3, 0 = -5*v - i + 2. Let j = v + t. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (0 - -5188 - (-24)\/30) + 29\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44655*h**2*x**3 - 4*h**2*x**2 - 37*h**2*x + 16724*h**2 + 3*x**2 + 1 wrt x?\nAnswer: 267930*h**2*x - 8*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g + 4*b - 920, 0 = g - 3*b - 311. Suppose 0 = -3*h + 73 + g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 3*v - 6*v. Let w = v + 9. Let a = 10 + 12. What is the least common multiple of a and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 13 = -61. What is the remainder when 35 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-21)*6\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 10\/(-4))*-42. Calculate the common denominator of ((-9)\/27)\/((-2)\/(-10)) and 4\/(-14) + (-1272)\/z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 787, 795, 807, 823?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.028 - -0.028. Let q = o + -2. What is the closest to 2 in 0.5, 0, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61748000 to the nearest 1000000.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**5\/210 + 103*d**4\/84 + 10*d**3 - d**2 - 43. Determine n so that o(n) = 0.\nAnswer: -2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 157528938 and 4077.\nAnswer: 1417760442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126 * -0.2.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10367 to 3 dps.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3554 (base 6) in base 12?\nAnswer: -5ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9*o = -7*o + 3282, 3*x = 5*o + 1973. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 5:14 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - k**2 - k**2)*(-k**3 + 3 - 3) + 2*k**5 + 36*k**5 - 9*k**5 - 4*k**5 + 4*k**5 - 6*k**5.\nAnswer: 25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) + (-3)\/(-2). Let j be g*-1*1\/(-8). Let p = -50 + 49. Which is the nearest to 0.1? (a) p (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -199 - -199.1. Which is smaller: q or 1\/69?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 1243 = 55. Let a = 70 + -46. What is the highest common divisor of a and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 287*l**5 - 944*l**4 + 333*l**3 + 7*l**2 - 4950825*l wrt l?\nAnswer: 17220*l**2 - 22656*l + 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*v - 31774, v + 25409 = 12*x - 8*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfgi when four letters picked without replacement from iqiifiitiiqtiiitgit.\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84.4 + 84. Let m = -327996\/187 - -1754. What is the third smallest value in p, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11324301420 (base 5) to base 15.\nAnswer: 1242190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 427 + -317. Calculate the remainder when x is divided by 91.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = 15*o - 22 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 6. Let d be q(-9). Let p be ((-4)\/3)\/(4\/18). Let x = d + p. What is the smallest common multiple of x and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**3 - 81*z + 4. Let w(b) = 8*b**3 - 86*b + 6. Calculate 6*r(g) - 5*w(g).\nAnswer: 2*g**3 - 56*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 117*j**3\/2 - j**2\/2 + 2*j. Let y be w(1). Suppose -m - y = -6*m. What is the greatest common factor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123323130 + 10?\nAnswer: -123323120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyd when three letters picked without replacement from ydyydyhhddyhdytyd?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203652 - 203651 + 3*r + 407303 - 5*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 14*b**2 - 15*b - 3. Let u be y(15). Let n be u*4\/(-12) - -49. Let s be 30\/n - (-13)\/(-5). Sort -3, s, 0.4 in descending order.\nAnswer: 0.4, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1063 divided by -5\nAnswer: 1063\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1148*b**2 + 421*b - 53*b**4 + 3*b**3 - 421*b wrt b?\nAnswer: -1272*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 5*n - 9. Let m be b(7). What is the second derivative of -18*r**2 + 12*r**2 - m*r + 7*r**2 wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-3)\/(-27)*(-5 - -2). Find the common denominator of -77\/10 and -3*g - (-43 + 72\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.5 + -5.3. Which is the nearest to 0.1? (a) 0.5 (b) l (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let q(o) = -2*o**2 + 8*o**2 + 0*o**2. What is y(q(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 5*k = 8*r - 187, 0 = 5*k - 20. Let w = -172 - r. Put w, -1, -9, 1 in increasing order.\nAnswer: -9, w, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/3))\/u**35*(u*u**(-4))**50)**(-44) assuming u is positive.\nAnswer: u**(24200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -0*g + 4*g. Suppose -3*v - 89 = 5*c - 28, -3*c - 2*v = g. Let i be (-24)\/(-14) + (-4)\/c. Solve -4*t - w = 13, -t - 16 = i*t + 2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18557?\nAnswer: 7, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 7*y. Let o(x) = -2*x**3 + x**2 + x + 2. Let q be o(2). Calculate the remainder when (-350)\/q - 3\/(-12) is divided by m(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 487005708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) + 532168\/(-2552550).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*c + 40 = 0, -23*x = -25*x - 5*c - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-956 - 1906*c - 38*c + 957)*(-8 - 1 + 4).\nAnswer: 9720*c - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152*294\/(-931)*(-3)\/2?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**2 - 5*w**2 - w**2 + ((-w - 2*w + 4*w)*(1 + 4 - 1) - 3 + 3 + w)*(-w - 2 + 2).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 + -65. Let z be j + -4 - (7 + (-5 - 0)). Solve -a + 4*b - 25 = -z*a, 5*a = -b - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -158333*n**2 + 4*n + 12. Let j be x(-6). Round j to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a millimeter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37070 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 45. Suppose 141 = -26*u + 29*u. What is the remainder when u is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 17*f - 61. What is the units digit of g(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 601486059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -22\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 3*b**4\/8 - 15*b**3\/2 + 189*b**2\/4 - 147*b\/2 - 66. Find q, given that o(q) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s**3 - s**2 - 5*s - 2. Let m be x(-1). Solve 7*j - 4*j = m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 277 or -0.42?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27531, 55063, 82595?\n\"Answer: 27532*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 8*r**2 + r - 3. Let g be m(4). Solve -4*t - 15 = -3*t - 4*d, 3*t - d + g = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -53. Let b(r) = -93*r**3 - r**2 - r - 1. Calculate the lowest common multiple of -5 - (-23 + (k - 4)) and b(-1).\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -4*m + 4*v + 4, 7*m + 37 = 31*v - 35*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7711983, 7711984, 7711985, 7711986, 7711987?\n\"Answer: j + 7711982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*q - 4. Find the second derivative of -q*t - 15*t**3 + 15*t**3 - 3*t**4 wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -0.2. Let r = 1 + h. Which is the biggest value? (a) r (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 66.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + z - 10. Let s(d) = 7*d**2 + 2*d - 23. Let c(w) = -5*q(w) + 3*s(w). Calculate c(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2307 + f + 1673 + 4*f - 3*f.\nAnswer: 2*f - 634","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*z + 3*p, 9*z + 5*p = 5*z - 29 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(36)\/sqrt(4)) + ((sqrt(128)*-2)**2 - sqrt(2)) + (-1*sqrt(72))**2*3.\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -13*z**4\/24 + 37*z**3 - 50*z**2. Let p be i(17). Solve l + 0*l = -p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11921 + 0?\nAnswer: -11921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*h + 1210, 960 = 4*h + a - 249. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1677 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2158634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*d + 0 + 0)*(6*d - 3*d - 2*d) + 2*d**2 - d**2 - 2*d**2)*(3 - 5 + 4)*(17 - 17 + 3*d) to l*d + o*d**3 + z*d**2 + y and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1540 (b) 54\/13 (c) -5 (d) 5 (e) 0.1 (f) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40491 divided by -3?\nAnswer: -13497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16232.\nAnswer: 2, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*p + 117*p + 71215 = -5*x, -4*p - 3*x + 142521 = 0. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = j + j. Calculate the remainder when 22 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(3)*-1 + (-2*sqrt(192))**2) - 3*(sqrt(6)\/sqrt(8) - sqrt(18)\/sqrt(54))**2) + -4.\nAnswer: -2*sqrt(3) + 3055\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 1:08 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146175230 divided by -2357665.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*f = -341*f + 358752000. Round f to the nearest 100000.\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -2. Let k = 4 + v. Suppose 0 = -3*i, 0*h = -k*h - 4*i + 4. Sort 0, -5, h in descending order.\nAnswer: h, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -2*n**3\/3 + n**2 - 17. Let z(x) = -4*x. What is z(t(m))?\nAnswer: 8*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2\/11 (c) -3 (d) -6\/271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000096436977 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3, -39?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 139.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnfrfpfppfnppppnnff. What is prob of sequence pfr?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = 3. Let i(t) = t**3 - 5*t**2 - 8*t + 7. Let k be i(x). Let o = k + 7. Solve -5*f + o = -4*y + 6, 5*f - 3*y + 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652 - 1958 - 73945*r + 651 + 656.\nAnswer: -73945*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -17993, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*q = -1117*q - 3284 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 158 - (0 - 1). Suppose -2*z + 6 = z. Suppose 2*w + z*w - 5*p - 66 = 0, 0 = w + p - 12. Calculate the greatest common divisor of w and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1217 = 3828. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344.4018 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 22 = -3*b, -2*b = -14*p + 13*p + 10. Let w(m) = 11*m**2 + 9*m + 9. Determine w(p).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 6. Let t be q(-8). Suppose -2*i + t = 3*j, 3*j = i - 4*i. Suppose -y = -5*y + c, -4*c = j*y + 18. Let r(o) = 6*o**2 + o. Determine r(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/4 + 105*o**4 - 21839*o**3\/2 - 22155*o**2 - 44521*o\/4.\nAnswer: -o*(o - 211)**2*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/((-672)\/(-208)))\/(1\/(-537)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/5150980 and 91\/961930.\nAnswer: 159680380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 126*x**2 - 59 - 2154*x + 1079*x + 1075*x.\nAnswer: 126*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21223 + -16322. Does 30 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33500618?\nAnswer: 2, 16750309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 364*m. Let w(d) = -d. Calculate -2*u(q) - 504*w(q).\nAnswer: -224*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - 3111?\nAnswer: -3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*x - 90, 5*w - 8*w + 90 = -5*x. Suppose -2*m - d = -5*d + 14, 3*d = -5*m + w. Solve 4*l + m - 4 = 5*t, 1 = -l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 plus -668?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**3 + 6*j - 1. Let n(l) = 6*l**3 - 7*l + 1. What is 7*m(u) + 6*n(u)?\nAnswer: u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 1528*i**3 + 1.\nAnswer: 1528*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -16\/3 (c) -2 (d) 5727\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4877*f. Let o(m) = -2*m**2. Determine o(r(k)).\nAnswer: -47570258*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 1.2. Which is the fourth biggest value? (a) y (b) -0.1 (c) -2\/9 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (5 - 5)*8\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27598 is divided by 1105.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2752, -4043, -6186, -9181?\nAnswer: -13028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*d + 6. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 29*c + 31. Let t be p(-1). Let z be 2\/8*32\/12. What is the second biggest value in -5, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 minus 1?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(33\/(-13)) + -1. Let q = 3566 + -3566.3. What is the third smallest value in i, -8, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 10. Let a be o(-16). Let h be 4 - (-12)\/(-3) - a. Let b(d) = -20*d + 20. Let w(s) = 7*s - 7. What is h*b(p) + 17*w(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 2029066*s - 6087200\/3.\nAnswer: 2*(s - 3043600)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 82876326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 437, 533, 721, 1031?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24909, -49865, -74881, -99963, -125117, -150349, -175665, -201071?\n\"Answer: -s**3 - 24*s**2 - 24877*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 530277914 to the nearest integer?\nAnswer: 23028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15285 is divided by 3821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4302.199 nanometers to kilometers.\nAnswer: 0.000000004302199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.94174 millilitres?\nAnswer: 0.00494174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*t**2 + t**5 - 7*t**3 - 4 - 3*t**3 - 44562*t + 44547*t.\nAnswer: (t - 4)*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -268 * 0.5.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*t**3 + t - t + 39*t**3.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1799195*z**4 + 2*z**3 + 305002*z - 4?\nAnswer: -21590340*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21798242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 0. Let n = -7 - x. Is n at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/((-4)\/90*-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 25*q**2 - 22*q + 593. Calculate f(-23).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 6*x - 10. Let z be t(7). Is 10 a factor of (z - (-7 + 3))*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9052 and 1606.\nAnswer: 99572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-2) - (-9)\/(-18). Let v(y) be the first derivative of -11 + 0*y**2 - 12*y + 2\/3*y**b. What is the derivative of v(f) wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**16\/(h**(-3))**34 assuming h is positive.\nAnswer: h**166","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 16*c**2 + 16*c + 20. Let x be y(17). Let s be ((-20)\/14)\/((-5)\/35). Let m = s - 5. Solve -x = -m*k - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64199023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/4))\/(d*d\/(d\/d**(2\/7)))*(d*d**(-1))**13*((d**(-7)\/d)\/d*d\/d**2)\/((d*d\/((d*d**(-1\/2)*d)\/d))\/(d\/(d**(-6)\/d))) assuming d is positive.\nAnswer: d**(-99\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089307 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*q = 8 - 6, -2*q + 18 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3*(-15)\/(-2). Let l = 1650 - 1646. Put -1, j, l, -3 in descending order.\nAnswer: j, l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*s - 12602 - 7438, 5*o - 26685 = -4*s. List the prime factors of s.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2 + 4*n - 4 + 19 - 9. Calculate g(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + sqrt(567) + sqrt(567)*-1 + -2 + 1)**2 + -1)*-6.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((62780\/(-258))\/(-73))\/(20\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16746676 is divided by 299?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - -47. Let v = a + -79. Let d(j) = -6*j**3 + 11*j. Let c(o) = -o**3 + 2*o. Give v*d(r) - 22*c(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 8*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let v(g) = 5*g - 11. Calculate v(c(l)).\nAnswer: 5*l - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n + 0*n**2 - 2\/3*n**3 + 5. Let j(x) be the first derivative of 2*x**3\/3 + 4. Calculate j(o(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 3}. Give prob of sequence zjz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/11)\/(o*o*o**0)*(o**(-2\/43)*o)\/(o**(7\/2)*o*o) assuming o is positive.\nAnswer: o**(-6365\/946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-94)\/((2\/6)\/((-4)\/6)). Let y = c - 124. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -17*l**2 + 2*l. Calculate c(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 68, 125, 198, 293, 416, 573, 770?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 24*d - 54. Let b be m(-21). Suppose -b*c - 90 = -450. Solve -c = 4*u + 4*q, 5*u = 6*u + 3*q + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000077404009 to 7 decimal places.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*b - 28 = 0, y + 3*b - 1 = -3. Suppose -y*z - 93 + 273 = 0. Solve 5*s + 7 + z = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 + (-12)\/7. Let v(t) be the first derivative of t**3 - t - 3. Let j be v(m). Solve 5*w + j = -9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooff. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 0*h + 0*h + 2)*(-2 + 0 - 2) - 4 + 4 + 16*h + h + 2*h - h + 4 - 2*h - 4 + (3 - 2 + 1)*(6*h - 4*h - 3*h) to the form d*h + n and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/20 - 7*p**4\/12 - p**3\/3 + 4*p**2 - 53*p. Let z be (28\/(-8))\/(1\/(-2)). Determine o(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -154 (b) -0.05 (c) 4\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3006*n**2 + 1005*n**2 + 1000*n**2 + 3*n**3 - 2*n**3 + 1001*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*g - 74*g + 675*g + 0 + g + 0 + g - g + g + (1 + 0 - 3)*(-1 + 1 - g) - 3 + 3 - g.\nAnswer: 641*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*x - 6. Suppose -s + 175 = 2*r + 57, -4*r = x*s - 236. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 5*g**4\/12 + 5*g**3\/3 + 2*g. Find w such that c(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyd when three letters picked without replacement from dmyxpdlyp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10) + (-3)\/(-45)*69\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*a = -o - 2, -3*a = 2*o + 8. Suppose 5*d = -o*q + q + 2, -4*d = -5*q - 106. What is the units digit of (-40)\/6*q\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ror when three letters picked without replacement from rvro?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let h(p) = p**2 - p + 1. Let t(s) = -6*s**2 + 5*s - 5. Let x(r) = 5*h(r) + t(r). Determine b(x(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796373 is divided by 2356.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 6*k**2 + 3*k - 5. Determine b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11213 - -114?\nAnswer: -11044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 6\/(3 - (2 + 3)). Suppose 0 = a - 5, f*y + 5*a - 17 - 8 = 0. Suppose y = 4*o + 62 - 358. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 34 - 128 = -u, -2*u + 360 = -f. Is u a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-24)*60\/(-150)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 50861, 1, 4\/7, -1?\nAnswer: 50861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 72*w**2 + 205*w + 1325. Calculate m(39).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 12*k - 2. Let u be h(8). Let c(p) = p**2 + 3*p - 6. Let q be c(-6). Suppose -2*a = -q - 12. Calculate the greatest common factor of u and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.6 - 5.568925. Let o = s - 2299.131075. Let k = 2188 + o. Round k to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**3\/6 - i**2 - 13*i. Let z be d(-3). What is the nearest to z in -0.5, 2\/7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24357 - 7919. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*q**3 + 421*q**3 - 149*q**3 + 687*q - 138*q**3.\nAnswer: -37*q**3 + 687*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.4, 23, 17.\nAnswer: -0.5, -0.4, 17, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123780\/79 or -5\/7?\nAnswer: 123780\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -486989605 less than 4?\nAnswer: 486989609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 1920?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8499*u**2 - 2*u - 8. Let q be r(4). What is q rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 819?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q**2 + 97*q + 2047 wrt q.\nAnswer: -2*q + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.81063348 to two decimal places.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/(-2)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103119 or 103130?\nAnswer: 103130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 482295301 + -3?\nAnswer: 482295298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbybbbbxbbbbb. Give prob of picking 2 b.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*d - 91*d - d**3 + 0*d**3 - 94*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759475 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 13. Let r = 1056 - 1054. Let x be r\/7*(-245)\/315. What is the closest to x in -0.1, f, -0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 303939066?\nAnswer: 303939068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -6*z + 47. Solve -4*j - z*w = -31, -j + 5*w = -0*j + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12823 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 114910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) + sqrt(209) + sqrt(209) + sqrt(209)*3 + sqrt(209) + sqrt(209))*-6)\/(1*sqrt(11)*1) + -2*(sqrt(684) - -2*sqrt(684)*1)*-3)**2 + -1.\nAnswer: 68399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2479 + -3545. Is y at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/88 and -107\/52360.\nAnswer: 52360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -49.23. Let t = o - -0.77062. Round t to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 1342 = -443. What is the greatest common divisor of w and 442?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, e: 2, v: 6, u: 1, q: 1}. What is prob of sequence ve?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-2*q + 0*q + 0*q) + (0 - 2*q + 0)*(3 + 1 - 39).\nAnswer: 74*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10037 + 210953\/21. Let c = 68\/7 - i. What is the closest to 0 in -2, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1424 - -1429. Which is the nearest to 0? (a) m (b) 10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/64 of a week?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t = 18*t + 40 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 42\/1937 (b) -1\/23 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6254*a**3*s**2 - 4680*a**3*s wrt s.\nAnswer: 12508*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 33. Let q be k(-6). Find the common denominator of -50\/27 and (-10)\/11*(4 + q\/(-18)).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.99 - -1?\nAnswer: -44.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -24\/5 - 1\/5*u**3 - 2*u + 13\/5*u**2 = 0. What is u?\nAnswer: -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 2*s**2 + 2*s**2)*(-2*s + s + 3*s) - 3*s**2 + 3*s**2 - 3*s**3 + (0 + 0 + s)*(s**2 - s**2 - 2*s**2) + 5*s**3 - 2*s**3 - 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 194.\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 12 - 22 = 4*a, 0 = 4*g - a - 136. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 7, q: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1213 and -4200?\nAnswer: 5094600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/8*248\/6. Is (p\/(-3))\/(10\/75) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-2)*(-4)\/(-16). Let o be -161783*(0 - (u - 0)). Suppose 0 = -2*l - 208217 - o. What is l rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -853, -1198, -1529, -1846, -2149, -2438?\n\"Answer: 7*k**2 - 366*k - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*3*2\/(-72).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2780, 0 in decreasing order.\nAnswer: 2, 0, -2780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3182 <= -3183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d - 2008. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookmokmmkkkkk. What is prob of picking 1 o and 2 m?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/20 - ((-55)\/(-20) + -2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 1\/80*d**5 - 1\/48*d**4 - 1\/24*d**3 + 7*d + 1\/8*d**2 + 0. Factor m(l).\nAnswer: (l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + -1. Let n = q + 0.5. What is the closest to n in 0.3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2773*h**2*u**2 - 321*h**2*u - 5*u wrt u?\nAnswer: -5546*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(2\/55)\/(v**(-1\/4)\/v)**(-26) assuming v is positive.\nAnswer: v**(-3579\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*1\/3*0. Suppose -k = -4 - t. Suppose 4 + 8 = k*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6641084 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111714131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**20)\/w*w**(2\/51) assuming w is positive.\nAnswer: w**(-967\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*472.\nAnswer: 141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3))**10*((k*k**(-1\/2))\/k)\/(k*k**(-2)\/k*k) assuming k is positive.\nAnswer: k**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*y - 1 = -0*y, z + 3*y - 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 18, -2, 5 in descending order.\nAnswer: 18, 5, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 4:38 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42412, 42418, 42428, 42442?\n\"Answer: 2*t**2 + 42410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 350936.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77090863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19951207 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 11*l + 15. Let m be p(12). Suppose -42 = -14*z + 7*z. Calculate the lowest common multiple of 3\/m*2 - -2 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 1, w: 1, s: 2, f: 1, r: 1}. What is prob of picking 1 u, 1 d, and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/958452 and -127\/11508.\nAnswer: 6709164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from ppzpq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*c + 2*c + 7*c in the form p + x*c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2850668912.\nAnswer: 2, 7, 13, 29, 181, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*a**2 - 1188 - 3*a**3 + 1188)*(-2 + a + 2) + (-a - a**2 + a)*(-29 + 29 + 50*a**2) as s*a**3 + p*a**4 + i*a + y + u*a**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 249*r**4 - 4*r**3 + 2 - r**2 - 248*r**4 + 3*r**3 to j + t*r + u*r**2 + z*r**3 + p*r**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 852 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j + 8 - 25. What are the prime factors of 3*(0 + j) - (-8 - 318)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 102\/8 + (-2)\/(-8). Let s be 1685\/30 - 7\/42. Let z = s + a. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4851 - 4715. What is the remainder when 194 is divided by v?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -v + 11, 3*v + 3*a = 27. Suppose v = -2*h - 1. Let r(s) = s**2 + 4*s - 6. What is the units digit of r(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(120)\/(sqrt(6) - sqrt(42)\/sqrt(112)))\/(-2*sqrt(64)*-1)*4.\nAnswer: 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.4 (c) 0 (d) 3\/17 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2\/4 + 1061893*d\/2 + 1127616743449\/4 = 0.\nAnswer: -1061893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -20*j - 44. Let f be n(-4). Suppose 0*t + 5*b = -3*t + 21, 5*t - 35 = b. Solve 5*l - t = -i - f, 2*l = 2*i - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -592.999999854 - -593. What is u rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**5 + 200*x**4 - 479*x**3 + x**2 + 451*x - 256. Let m(v) = -3*v**5 + 99*v**4 - 240*v**3 + 225*v - 129. Let p(u) = -6*b(u) + 11*m(u). Factor p(a).\nAnswer: -3*(a - 1)**3*(a + 1)*(a + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a, 3*l = a + 6 - 0. Suppose 0*p + l*p = 0. Suppose p = -3*k + 6*k - 15. Solve -3*r + 2*r + k = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -21*n - 76. Let u = -15 - n. Let m(a) = a**2 + 3*a + 2. Is 10 a factor of m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -18. Suppose 4*k - 9 = 3. Let q = v + k. Is -2 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**18)\/(r**4*r)*r**(2\/27)*r*r**(-1)*r assuming r is positive.\nAnswer: r**(407\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -356d (base 14) in base 16?\nAnswer: -245d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2152*i + 166 + 3008*i - 642 - 4*i**4 - 48*i**3 - 40*i**3 - 288*i**2 = 0.\nAnswer: -17, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 1180 (c) 9.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1200 * -0.2\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 594, 60 in decreasing order.\nAnswer: 594, 60, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.022 + 1.978. Which is the fourth smallest value? (a) 3.1 (b) m (c) 4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-266)\/(-224)*4 + -5. Let i = 0.4 + -0.2. Which is the fourth smallest value? (a) u (b) -6 (c) i (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125461251*q**4 + 164447617*q?\nAnswer: 1505535012*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3909*2.\nAnswer: -7818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-36) - 57\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0 + k**2 + 4 + 9*k**2 + 13*k**2 - 6*k**2 + (-5*k + 4*k + 2*k)*(3 - 3 - 2*k) - 13 + 13 + 7*k**2 in the form r + b*k + d*k**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f - 15. Suppose -f*k + 7*v - 3*v + 59 = 0, 3*v = -4*k + 37. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/3*s**2 - 224\/3*s + 8.\nAnswer: -2*(s + 6)*(19*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, k: 16}. Give prob of sequence xxkk.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 27 + 21. Let k be 1 + h + (-44)\/22. Which is the smallest value? (a) k (b) -10 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + -106.7. Let v = 5 + f. Sort 3, v, -1 in descending order.\nAnswer: 3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 + 9204158*z**2 + 110449887*z\/2 + 82837413.\nAnswer: (z + 3)**2*(z + 55224942)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -76, -158, -240, -322, -404?\n\"Answer: -82*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 12*x + 15*x, -5*x + 45 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.72 + 10.72. Which is the nearest to -0.07? (a) i (b) -4\/5 (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 * 16\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 33*f + 2609. What is the remainder when u(-44) is divided by 57?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2809 take away 3?\nAnswer: -2812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92926501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39112 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 406\/174 - -2*1 - (-8)\/(-6). Let p(z) be the first derivative of 1\/6*z**4 + 16 + z**2 - 8\/9*z**b + 0*z. Factor p(i).\nAnswer: 2*i*(i - 3)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - ((-196)\/2 + 4) - 4. Let c = 94 - s. Suppose d + 2*a = -c*a + 135, -5*a + 635 = 5*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1561811 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-2630)\/322) + -8. Let r = 17\/23 - n. Factor r*o**3 + 8\/7*o**2 + 0*o - 4\/7*o**4 + 0.\nAnswer: -4*o**2*(o - 2)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3))**9*((k**7*k*k*k)\/k*k)\/k**(1\/7))\/(k**(1\/9)\/(k*k**(-6))*k**(-1\/2)*k**(-2)) assuming k is positive.\nAnswer: k**(157\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 50*m**2 + 48*m + 227. Calculate f(51).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 23*f - 192. Solve 2*q = -0*q - 2*p + f, 5*p = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d + 12 = 0. Let b = -2 - d. Let h(u) = u - 2. Let v be h(5). Solve -13 + v = -b*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 80 = 5*n, -2*n = -4*q - 7*n + 28. Let o = -19 + 55. What is the highest common factor of o and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.089, -375\/32.\nAnswer: -375\/32, -0.089, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-413350)\/(6 - -1)*-200. What is b rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**3\/o)\/o*o*o*o**(-2))\/(o**(2\/23)\/o*o*o**(-2\/17)*o) assuming o is positive.\nAnswer: o**(12\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 13*g**2 - 2*g + 3. What is the remainder when 171 is divided by t(-13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - (-12 + 34)) + 19?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 10*q - 114752 = 0. Suppose 0 = -40*s + 42*s + q. Round s to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3396 - -10757. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*n + 17, -2*n + 0*n + 3 = 5*m. Which is bigger: n or -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from {t: 3, h: 1, d: 4, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 5, 654 in decreasing order.\nAnswer: 654, 5, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01131 to 4 decimal places.\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 - 1. Let x(o) = -13*o**3 + o - 4. Let z be 42\/(-12) + (-9)\/(-6). What is z*x(l) + 9*n(l)?\nAnswer: -l**3 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h - 5*h - 2 + 5*h + 3*h. Let m be o(2). What is the remainder when (27\/4)\/((-2)\/m) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + (-1458)\/168)\/(3\/4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from lvdfnppd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.76331 days in hours?\nAnswer: 546.31944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 9*v + 4*n - 14 = 0, -v = 4*n - 6. Suppose -5*x - 4*l - 18 - 4 = 0, -2*x - 14 = -l. What is the biggest value in 0, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93, -37, -575, -1725, -3691, -6677, -10887?\n\"Answer: -34*k**3 + 108*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 61*x + 76. Let i(f) = 30*f + 38. Let k(t) = -9*i(t) + 4*y(t). What is the tens digit of k(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -132*y**3 - 22724*y**2 + 42832*y + 65424 = 0.\nAnswer: -174, -1, 94\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23065995 divided by 1873?\nAnswer: 12315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2178467 to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298578588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1, 0.12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 12*d**2 + 13*d - 20. Determine q(13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -6. Let m be (0 + 0)\/(8\/4). Let w = -14.3809 - -0.3809. Which is the second biggest value? (a) w (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -19. Let y = 11.4 + b. Let g = 0.4 - y. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -106*r**2 + r. Let l(q) = 260*q. Determine t(l(m)).\nAnswer: -7165600*m**2 + 260*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, y: 2, c: 7}. What is prob of picking 1 c, 1 y, and 1 q?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010381 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 328470698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 4. Let q(r) be the third derivative of -r**6\/120 - 7*r**5\/60 + 7*r**4\/24 - r**3 + 2*r**2. What is the units digit of q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 9 = -4*t - l, 0 = -3*t + 3*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*127)\/(-30 - (-134070)\/4470) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*x - 91*x - 230*x**2 + 29 + 234*x**2 + (1 - 4 + 1)*(-6*x**2 + 4*x**2 + 0*x**2) as a*x + s + q*x**2 and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41643 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1181, 2077, 2975, 3875, 4777, 5681?\nAnswer: 6587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*s**4\/7 + 18*s**3\/7 - 84*s**2 + 2304*s\/7 - 2496\/7 = 0. What is s?\nAnswer: -13, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**6\/10 - 3*x**4\/4 + 18*x. Find the third derivative of d(u) wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 68.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(44)*-3)\/(sqrt(16)\/sqrt(4)*1) + 4.\nAnswer: 4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 e when four letters picked without replacement from {z: 2, e: 3, r: 4, i: 8}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-9)*(-2)\/15.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.3. Let k be (-4)\/(-10)*(-310)\/(-186). Which is the third biggest value? (a) 4 (b) k (c) r (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 11:51 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -50 - (-62 - 4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + -4 + sqrt(5) + 5.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-5)*(-33)\/(561\/(-85)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 9*g. Let b be r(-8). What is the common denominator of ((-658)\/(-70))\/(12\/(-15)) and b\/28 - 1042\/168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395 + v**3 - 2*v**3 - 395.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 378488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*f - 8 = 0, 0 = y + 3*f - 4 + 2. Suppose -2 = d - y. Solve 4*c - 8 = p, d*c + p - 6 = -p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13358800 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3294)\/189 + 17*1. What is the smallest value in 2\/27, r, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**2 - 135*v**3 + 28*v**2 - 4*v**2.\nAnswer: -135*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.698089531 to four dps.\nAnswer: 1.6981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -35*n**2. Suppose -13*s + 495 - 105 = 0. Let r(v) = -5*v**2. What is s*r(g) - 4*a(g)?\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 103001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -1383, -2264, -3145, -4026, -4907?\nAnswer: -5788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 776218 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3503868860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 4*a**3\/3 + 20*a**2 - 7*a - 54. Is q(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-5\/7))\/v)\/(v**(-3\/10)*v)*v**(-5\/9)\/(v*v*v**8) assuming v is positive.\nAnswer: v**(-6641\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*v - 15 = 108*v. Let g be 120\/(-50) - 2\/(-5). Let r be 0 - 4\/(g + -2). What is the highest common factor of v and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - 9 + 9)*(5 - 4 - 4).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675293 is divided by 174?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 60, -1, -4 in decreasing order.\nAnswer: 60, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 2426, 8678, 20822, 40814, 70610, 112166?\nAnswer: 167438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4989*a = 7134 + 12822 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 - 19*k + 11. Let a(u) = 2*u**2 + 10*u - 6. Let m(g) = 7*a(g) + 4*f(g). Let i be m(3). Solve -4*v = -12, -i*c + 0*v - v - 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11376*q**2 - 12867*q**2 + 22286*q**2.\nAnswer: -1957*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6484804*c**2. Let j(p) = 2*p. Calculate k(j(m)).\nAnswer: 25939216*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124 - -128. Suppose 3*w = -t + 4*t - 6, -3*t = -w - 6. Solve -t*p = -6*p - i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1043*c + 160 wrt c?\nAnswer: -1043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 - -102?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 8*j + 2. Let s be h(-4). Suppose -r + 4*g = -14, -s*r - 3*g + 28 = -r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105641911 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -5, 5, 2, -52 in descending order.\nAnswer: 5, 2, -5, -37, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*f + 20, 0*f = l - 3*f + 8. Suppose -l*t + t = -873. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037196521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*1*sqrt(208)*1*-4*-6)**2 + -5.\nAnswer: 479227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22ddde (base 16) to base 15.\nAnswer: -30209c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8bb17 + 147?\nAnswer: -8b9a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 680336 to the power of 1\/2, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.4 and -6561.9177.\nAnswer: -6572.3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 11*y**5\/20 - 349*y**4\/4 - 9*y + 30. What is the third derivative of f(z) wrt z?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -242384282 to the nearest 1000000.\nAnswer: -242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.43 + 25. Let k = u + 0.13. Let z = -5 + 8. Sort -0.5, z, k in decreasing order.\nAnswer: z, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3))**(-12)\/((k\/(k*k\/(k\/(k*k**4))))\/((k*k**(-2\/3))\/k)))**20 assuming k is positive.\nAnswer: k**(740\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 5*s + 5033. Let j be x(0). Let a(l) = -5028 + j + 5*l + l. Let i(v) = v + 1. What is 3*a(d) - 15*i(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184745 is divided by 95?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/17 - 200*q**2\/17 + 194*q\/17 + 396\/17 = 0 for q.\nAnswer: -1, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24452 + -407. What are the prime factors of p?\nAnswer: 3, 5, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-8) + (-28)\/16)*2. Let v(z) = z - 5. Let o(m) = 1. Calculate t*v(a) - 11*o(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by -90.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**24*n)\/n)\/n**(-3\/8) assuming n is positive.\nAnswer: n**(203\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14340050 - -4?\nAnswer: -14340043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/143 (b) -28 (c) -4 (d) 1\/8 (e) 493\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174.5 + 174.39. What is the smallest value in -0.5, i, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1309)\/231608 + 162\/10611?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1845415 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-17))\/(16\/(-944)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b**3 + 14*b**2 + 15*b - 106. Let r(w) = -3*w**3 - 4*w**2 - 5*w + 35. Give 2*n(g) + 7*r(g).\nAnswer: g**3 - 5*g + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -21*t + 167. Determine i(17).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 61 (b) 3\/4085 (c) -0.5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - q + 1. Let u be h(1). Suppose -b - 11 = -u*r + 3, 0 = 5*r + 2*b - 38. Factor 4*y - r*y**2 + 0 + 2*y**3 - 2 + 2*y.\nAnswer: 2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1 + 0*x - 2*x**2 + 5*x + x**2. Let k be v(4). Let j = 54 - 163\/3. Which is the nearest to j? (a) k (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 6*i**5 - 44*i**4 + 88*i**3 - 16*i**2 - 64*i = 0?\nAnswer: -2\/3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/28 and 7\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k**2 + k**3 - 18*k**3 + 2*k**3 wrt k.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 - 141*d**3 + 16*d**2 - 21*d**2 + 11*d**2 - 6 wrt d.\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545999 < 3545997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22273437 is divided by 1762.\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97899916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) -5 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 36 = -20*x. Calculate the highest common divisor of 234 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -814, -813, -812?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 1732441 = 354811. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.3 - -26.3. Which is greater: 15\/11 or g?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.5 (b) 1049 (c) 2 (d) 1.4 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 12) to base 6.\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -2. Let i(p) = p**2 + 2*p - 2. Let a be i(s). Suppose u = 2*g - 7*g + 18, 3*u + a = 4*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8837771 + 57*a**3 - 8837771.\nAnswer: 57*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 2:43 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*h - 38*h - 7*h - 2 to the form o*h + p and give o.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2089?\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106088554 divided by -4.\nAnswer: 53044277\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 10. Suppose 4*f = l - 38, -m*l + 2*f + 5 = -47. Calculate the lowest common multiple of 20 and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 6:48 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1595*b. Let f(u) = 22*u - 7*u - 8*u - 8*u - 3*u. Determine g(f(k)).\nAnswer: -6380*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4810015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quauwqqauwuqaw. Give prob of sequence aq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12425613 to the power of 1\/2, to the nearest integer?\nAnswer: 3525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((0 + 1 - -1) + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**2*z**3 - 3054583*p**2 + 1991*p*z**2 - p*z - 1228*z**3 wrt z?\nAnswer: -18*p**2*z + 3982*p - 7368*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46364171 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 115*p**2 + 3276*p. Let i(y) = y. Determine t(i(f)).\nAnswer: 115*f**2 + 3276*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, 1, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/24)\/((-805)\/(-206724)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b - 71*b - 4095 - 2618 = 0 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8 = -12. Let a(c) = 9*c - 57. Let b be a(6). Let y be 6\/b*18\/(-24)*2. Sort y, w, -5, -1 in ascending order.\nAnswer: -5, -1, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1. Let q(w) = w + 7. Let n(a) = q(a) + 4*t(a). Let b be n(-9). Does 4 divide 80\/(-24)*(-1 - b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**(5\/7))\/p))**28*p**2*p*p**(-21) assuming p is positive.\nAnswer: p**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 8. Let m = -0.04 - -0.14. Let r = -0.2 + m. Which is the nearest to 0.1? (a) o (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*a*b*m + 60*a*m**2 - 9*b*m + 2*b + 7*m**2 wrt a.\nAnswer: 21*b*m + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25096 + -25097. Suppose -v - 55 = 4*v. Which is greater: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.4. Let q = 0 + p. Let g = 1.5 + q. Which is the third smallest value? (a) 0 (b) 0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from kftkkkttktlt?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624454 is divided by 139?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48952409?\nAnswer: 11, 1399, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 14*k + 8*k)*(-10*k**2 + 5*k**2 - 4*k**2) - 2*k**3 + 0*k + 0*k.\nAnswer: 25*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - -0.52. Let s = 89.925 + -90. Let v = s + 0.475. Which is the nearest to -1? (a) 3 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -19, -4674205 in descending order.\nAnswer: 0.2, -19, -4674205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546874478 is divided by 451?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.5 (c) 6.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 26 = 3*t + 4*s, 2*s = -t + 8. Let x be 1 - 2 - (5 - t). Suppose 0*u = -4*u - 8, 0 = -x*l + 4*u + 262. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-50)\/(-175))\/2)\/((-1)\/(-21))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 29. Suppose 3*q + f*y - 830 = 4*y, q - 3*y - 282 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -157*p**3\/6 - 225*p**2\/2 - 5*p - 4. What is the units digit of t(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. Suppose -2*x - 5 = -3*x, -16 = -2*z - h*x. Let c = z + 0. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -8651*i**4\/12 + 1610*i**3\/3 - 3*i**2\/2 + 8709*i. Find the second derivative of t(j) wrt j.\nAnswer: -17302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 53637?\nAnswer: -53632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 182*z - 447. Calculate m(-63).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d. Let i be k(-1). Suppose -3 + 0 = -i*f. Let n = 23 - 23. Which is bigger: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 29. Determine r(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0.8. Let j = 63910.9 + -63911. What is the closest to m in 2\/9, 1\/4, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 68980620 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = o, o = s + 153862 - 1135865. Suppose 2*h = -5*z + 3*z + s, -2*z + 982004 = -4*h. What is z rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = -12. Suppose 0 = -5*p + 5*q + 5, 2 = 5*p - 2*q - 9. Solve -6*s + p*s - z = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 798938789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -25*i + 9*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 298676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1902*j - 1768*j + 2010 = 0 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -29*a**3 - 2*a**2 + 2*a - 1. Suppose -5*s = 5*w - 15, -w - 2*s - 1 = -3*s. Let k be p(w). Let g = k + 55. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -22. Let t = z + -23. Solve -5*q = -5*g - t*q - 23, -3*g - 3*q = 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15344844 + 1172.\nAnswer: 15346016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:58 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgnw when four letters picked without replacement from {n: 3, c: 2, r: 1, w: 2, g: 2, k: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112304 (base 5) in base 12?\nAnswer: 18541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2312.816 - -2370. Let n = -57 + a. Round n to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g - 12 + 31*g**2 + 0*g - g**3 - 32*g**2 - 3*g. Does 16 divide t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 173, 273, 389, 527?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1164 - -1724. Suppose 674 = -2*a - x. Let g = 868 + a. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(65)\/sqrt(5) + -2)**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.4468 decades in millennia?\nAnswer: 8.944468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(1\/3))\/(f*f\/(f*f*(f*f**4*f)\/f)*f))\/((f**5*f)\/f**(-6)) assuming f is positive.\nAnswer: f**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-384 - -398)*(-2)\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5546)\/(-404) + -3)\/((-1)\/(-2)). Let q = r - -9\/202. Calculate the common denominator of 43\/84 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0727 + 2.9273. Let w = 20 + -19.9. What is the nearest to w in -1\/6, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - 3*z - 47*z**2 + 7*z - 124*z**2 + 5*z.\nAnswer: -171*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 12*b - 146. Let l be o(-20). Factor -1172*q - 50*q**2 - 2*q**4 - 18*q**3 + 583*q + 589*q + l*q**2.\nAnswer: -2*q**2*(q + 3)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 246*d + 742. Calculate r(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*s + 3*u, 6*s - 1323*u - 1325*u + 16 = -3966*u + 1320*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/12)\/(1\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*6.427423\nAnswer: 1.9282269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 14*m + 6 + 2 as b*m + a and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 44\/154*42\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -751 in descending order.\nAnswer: 2, -2, -751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -18*i**2 + 49*i + 33. Let x(p) = 10*p**2 - 23*p - 17. Determine -4*m(k) - 7*x(k).\nAnswer: 2*k**2 - 35*k - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/8, 0.5, 2\/27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10313 (base 4) to base 5\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2043*q + 557717. What is v(-273)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046487 to 7 dps.\nAnswer: -0.0000465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 4*n + 2. Let i(v) = -v**2 + v + 4. Let j be i(0). Let q be u(j). Is 2 equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 2\/7, 0.2, -1.2, -4 in increasing order.\nAnswer: -52, -4, -1.2, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7)*-2 + 1 - (-2 + sqrt(35)\/sqrt(5)).\nAnswer: -2*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1550 and 180730.\nAnswer: 903650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 3. Let p = 23 + -14. Let q = 5 - p. Let j be d(q). Solve -j = -2*w - 3*v, -3*w - w + 5*v = 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 7\/3, -215, 5, 59, 1, 2 in descending order.\nAnswer: 59, 5, 7\/3, 2, 1, -1\/9, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*n = 10*n + 48564. Is n at most as big as -682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + z + z + 4*z + z + 2*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*x**3*z**3 + 30*x**3 + 12*z**3 + 7*z wrt z.\nAnswer: 234*x**3*z + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54259 at least as big as 53520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6312900 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.497745 millilitres?\nAnswer: 0.005497745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Let n(u) be the first derivative of u**4\/12 - 5*u**2\/2 - 3. Let y(j) be the second derivative of n(j). What is w(y(g))?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 17 - (201 - 155).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = -712 + 789 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 825?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:46 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -909*a. Let t(m) = -119*m + 1. Determine f(t(c)).\nAnswer: 108171*c - 909","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -30*m - 40. Let u be j(-4). Suppose 0 = -4*f + 1636 + u. List the prime factors of f.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*a + 4 = 2, 4*k - a - 9 = 0. Let t(c) = -c**3 - 13*c**2 - 11*c + 11. Let z be t(-12). Sort k, z, 0, 4 in decreasing order.\nAnswer: 4, k, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.4 - -5.4. Let p = -1 + 0. Suppose 0 = 8*f + 28*f - 180. What is the closest to p in w, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 19*l + 17. Let c(o) = 2*o**2 - 17*o + 18. Let g(b) = 5*c(b) - 6*t(b). Let n be g(12). What is the greatest common divisor of 60 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -665 - -614. Is ((m\/(-2))\/3)\/((-19)\/(-18962)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/10 and (-2 + 65\/50)\/((-1)\/(-16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2 + (-6654)\/(-84). Let w = b + -82. Let a = w - -2\/7. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -82e0?\nAnswer: -82e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2 = j - 5, 0 = j - 3*n + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -655\/8. Put 0.5, -0.4, i, 1\/5 in ascending order.\nAnswer: -0.4, i, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 17*x**2 - 35*x - 4. Is 25 a factor of c(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q + 6*q - 3*q)*(-10*q + 2*q**2 + 4*q + 2*q).\nAnswer: 24*q**3 - 48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 plus 0.86678?\nAnswer: 0.52678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 1787*x**3 - 1790*x**3 - 14.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6992\/(-140) - (-560)\/(-9800)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -311?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-10)*950\/4940?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:26 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93266 divided by 602.\nAnswer: -46633\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**32)\/q)\/(((q\/(q*q**(-13)*q))\/q)\/q))\/((q*q**21)\/q*q**(-24)) assuming q is positive.\nAnswer: q**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 6. Suppose -c + 5*c - 80 = 0. Suppose f + 4*f + z*l = 20, 5*f + 3*l = c. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00630737679 to seven dps.\nAnswer: -0.0063074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 106*h + 328. Let v be u(-47). Is v less than or equal to -239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4796?\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -102222?\nAnswer: -102231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (5\/(-4) - -2). Let s = -1672\/3 + 11722\/21. Put s, -0.4, 1\/4, w in increasing order.\nAnswer: -0.4, 1\/4, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -388*t*y**4 - 155*t*y - 12*t + 144325 wrt y?\nAnswer: -1552*t*y**3 - 155*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2258 + 4550 + 25*y - 2261)*(-5 + 0 + 4) to the form z + v*y and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2495? (a) -1 (b) 24 (c) 2\/29 (d) 1.7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -236 - -282. Find the second derivative of -a*m - 74*m**2 - 48*m - 3*m**2 wrt m.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 9:21 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 140*q. Let g(o) = -7*o + 11. Let w(m) = -2*m + 3. Let v(z) = 6*g(z) - 22*w(z). Determine a(v(f)).\nAnswer: 280*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577, 3968, 13177, 31114, 60689, 104812, 166393?\nAnswer: 248342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125381405.\nAnswer: 5, 523, 47947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1320 by -440.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - m**3 - 2*m**2 + 0*m**2 + m. Let f(j) = -j**3 - j**2 + j. Let b = 16 + -15. Give b*w(t) - 2*f(t).\nAnswer: t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let t(b) = -b + 1. Let y(u) = 20*u - 18. Let z(n) = 72*t(n) + 4*y(n). Give c(z(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-1392)*-29*-66\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2165*c - 164*c + 254231 = -5212*c - 55928 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/83624 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 2ca9a?\nAnswer: 2ca93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16092, 128756, 434544, 1030014, 2011724, 3476232, 5520096?\nAnswer: 8239874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 1. Does 4 divide a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1564217 divided by 7.\nAnswer: 1564217\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34872, 69727, 104586, 139449, 174316?\n\"Answer: 2*n**2 + 34849*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3076\/59645?\nAnswer: 3076\/59645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + ccca?\nAnswer: ccc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2, -107, -63 in ascending order.\nAnswer: -107, -63, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 53*i - 2. Let d(x) be the third derivative of -11*x**4\/8 + 157*x**2 - 2*x. Calculate o(d(q)).\nAnswer: -1749*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*w + 9330006, 4*s - 3*w = -0*s - 12440009. What is s rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10649430 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**2 - 3 + 0 + 5 + 5*y. Let p(h) = -11*h**2 + 8*h + 3. Let l be ((-5 + 3)*(-3)\/9)\/((-88)\/(-660)). Give l*p(t) - 8*i(t).\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 98. Let h be w\/20 + -2 + (-4)\/(-10). Let z(i) = -i**3 + i**2 + i - 4. Let m be z(h). Let o(s) = -s. Give o(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 12*m = -5*f + 65374, -f = -m - 32693. Let c be m\/(-567) - ((-10)\/(-6) - 1). Which is bigger: 54 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -151512215?\nAnswer: 151512220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 138502 (b) 0.1 (c) 5 (d) 4 (e) 17 (f) 3 (g) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223413, -223404, -223383, -223344, -223281?\nAnswer: -223188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -159384620 plus -0.617201?\nAnswer: -159384620.617201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let g be r(-3). Let t = 1 - g. Let u be (3 - 18)*t\/2. Solve n + 4*a = u, -2*n - 3*a = 1 - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065692123 rounded to 5 decimal places?\nAnswer: 0.06569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + t - 6, -2*i - 6 = t - 6*t. Let l(f) = 0*f - f**i + 80 + f - 2*f + f**3. Let o be l(0). What is the greatest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**4 + 114*w**3 + 768*w**2 + 1184*w + 519. Let l(a) = -2*a**4 + 28*a**3 + 192*a**2 + 296*a + 130. Let r(d) = -2*f(d) + 9*l(d). Factor r(m).\nAnswer: -4*(m - 11)*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1933 + 2050 + 2676 - 7965 + 4*j + 2269)*(-2*j + 2*j - j) to the form p*j**2 + x + m*j and give m.\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*w + 31568, -2*w + n + 19652 = -11911. Round w to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*q + 26*q = 26690. Solve q*r = 159*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 17*p - 24. Let z be c(18). Let i(v) = v**2 - 6*v + 3. What are the prime factors of i(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 431 + -498. Put k, 5, 0.4 in decreasing order.\nAnswer: 5, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/((-2*sqrt(36))\/sqrt(9))*-1)\/(-1*2*sqrt(1089)*2).\nAnswer: -sqrt(7)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in 0.5, 5, 1, 4, 111?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i - 133 - 155 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**3\/3 - 7*v - 7. Differentiate u(x) wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46718 * 0.06.\nAnswer: 2803.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -59\/6, -634, -5, 1.3 in ascending order.\nAnswer: -634, -59\/6, -5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 4*l**2 + 2. Is p(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 60.5. Let m(r) = 19*r - 8. Let o be m(-2). Let a = -33 - o. What is the third biggest value in a, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18964947 and 5322?\nAnswer: 2661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*q**3 - 31*q**3 + 61*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*a + 350 + 55, -3*a - 4*c = -619. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 20, 56, 126, 242, 416, 660?\n\"Answer: 2*v**3 - v**2 + 3*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115291.\nAnswer: 11, 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 44506112 divided by -794752\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Suppose t - 29 = -n. Suppose f = -4*i + 165 - n, -5*f = -5. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from rrmhh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -54*a + 49. What is the tens digit of z(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1777.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y**3 + 6 + 0*y**3 + 3*y**3 - 3*y**2 + 3*y**3 to w*y**2 + s*y + c + r*y**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 280 = 7*u. Let x = -36 + u. Suppose -f**2 + 3*f + 2*f - 7 - f + x = 0. What is f?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = 0, 0 = -4*x + 9*c - 7*c + 2464. Let d = x - 564. Calculate the common denominator of d and -145\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 113 = -17. Solve 0 = 2*i + x + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -152*h - 2340. What is the remainder when 710 is divided by b(-16)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16193 is divided by 1797.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 60460000 to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/5, -0.5, 4, -0.3 in descending order.\nAnswer: 4, -2\/9, -0.3, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -40*o - 20. Let k(q) = 77*q + 39. Determine 6*k(h) + 11*z(h).\nAnswer: 22*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - -4*sqrt(756))\/(sqrt(175)*5).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0*r - 2 - 3*r)*(0*r - r - 2*r + (2*r - 3*r + 2*r)*(2 - 4 + 3)) to the form h*r + c*r**2 + q and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-3) + (-3)\/(-9). Let f be -2 + 16 + -2 + r. Let y = 10 - f. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -326 + 328. Let a(d) = d**3 + 5*d**2 + 5*d + 6. Let r be a(-4). Suppose -r*w = 3*w. Solve -5*g = -k*g - 5*f - 18, -3*g - f = w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 2, -31, -3, -9 in increasing order.\nAnswer: -31, -29, -9, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -396. Let u = 392.99978 + n. Round u to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, 1\/6, 4, 49\/17 in decreasing order.\nAnswer: 4, 49\/17, 1\/6, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 41\/1127658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227067219 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*-40*(-1)\/3. Let k(c) = 4*c**2 - 37*c + 40. Let x be k(0). Calculate the highest common factor of o and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41\/4 of a millennium?\nAnswer: 10250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4.1299 or -1616?\nAnswer: 4.1299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**6\/960 - n**5\/240 - 19*n**2\/2 + 18*n. Let v(i) be the first derivative of q(i). Factor v(t).\nAnswer: -t**2*(t + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f + f)*(63*f - 63*f + 7*f**2).\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 114.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 4*v - 3*v + (-1 + 5 - 3)*(-3*v + v + 0*v) + 5*v - 4*v + 0*v - 10 - 2 - 7*v + 8.\nAnswer: -9*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - f. Let u(y) = -3*y**2 - 4*y - 4. Let a(x) = -42*x - 1217. Let w be a(-29). Calculate w*u(r) - 4*j(r).\nAnswer: r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 11*q - 14 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196251215536565\/20464 - -9590071131. Let u = t - -2\/1279. What is the common denominator of 19\/318 and u?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 28*c = 10*c - 41728. Calculate the greatest common factor of c and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 - (-6 + (9 - 3)) and 126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136042 is divided by 773?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*q + 29 = 0, 2*q - 6 = 2*k - q. Suppose 0 = -4*z + 5*z + k. Let b(p) = -p - 4. Let r be b(-2). Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -205*b + 204*b - 2 - b**3 + 0 + 3. Suppose -2*n + 4 = -5*n - 2*u, 18 = 4*n - 2*u. Let r be 1*(-3 - -2*n). Determine w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 832 - 830. Is d greater than 9\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 1897 = -33*h - 601. Let j(g) = g**2 - 6*g + 7. Let i be j(5). What is the second derivative of -9*o**i - 960 + 960 + h*o wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 116 - 61 + 4*q**2)*(-3 + 5*q + 3).\nAnswer: 20*q**3 - 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 243 - 1682 + 5*j**2.\nAnswer: j**2 - 1925","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 times 4.22?\nAnswer: 270.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39477 >= 315815\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1545.3389738 and 0.1.\nAnswer: 1545.4389738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 105 + 38)*(-3*j + 3*j + j)*(1 + 5*j - 1).\nAnswer: 825*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(((-1751)\/119)\/((-48)\/224)).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1794.35 to the nearest ten.\nAnswer: -1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 420 or 43?\nAnswer: 420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by -2\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64163, 128616, 193071, 257528, 321987, 386448, 450911?\n\"Answer: b**2 + 64450*b - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o**2 + 24*o**2 + 14*o**3 - 229*o**3 - 2.\nAnswer: -215*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 257.\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 13*c + 200. Calculate j(12).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -410 divided by -185769\nAnswer: 410\/185769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 1)\/((-2)\/(-6)). Find the first derivative of 1 - k - 3*z**2 + 4 wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 423.8017 centuries?\nAnswer: 42.38017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 = -i + 5*r, 2*i - 2*r + 2 = 0. Solve i = -h - h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -1\/225*t**6 - 1\/150*t**5 + 0*t**3 - 26*t - 47 + 0*t**2 + 1\/45*t**4. Let j(u) be the first derivative of x(u). Factor j(d).\nAnswer: -2*d**2*(d - 1)*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + b = -6, -5*g + 202 = -5*b + 197 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3472 and 8064.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 3:20 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170 + 224. Calculate the smallest common multiple of (-110)\/33*r\/(-10) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00679287214 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0\/w)**(2\/79)\/((w*w**(-4)*w)\/(((w*w*w\/(w*(w\/w**2)\/w)*w)\/w)\/w*w)))\/((w*w**(3\/2))\/(w*w**(3\/7)))**(-19\/5) assuming w is positive.\nAnswer: w**(11111\/1106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + b - 2. Let g be c(-8). What is g rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfpyufyfyifyip. What is prob of picking 1 i and 2 p?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629122*n + 284 = -629123*n + 2*j - 15*j, 4*n - 5*j = 118 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742696 is divided by 247552.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**4 + 124*q**3 - 236*q**2 + 116*q = 0.\nAnswer: 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1476.72021 to 1 dp.\nAnswer: 1476.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 48988\/3, -0.4, 0.3, 0.72?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 4:47 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18091934 is divided by 341357.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (2 - 2)\/2. Let b be ((-63)\/27)\/((-4)\/(-6)). Let o = b + 3. Is o greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*a - 123*a + 25500 = 67*a. What is the greatest common factor of 48 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79854 by 26618.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9466165045.\nAnswer: 5, 89, 103, 206527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y + 2. Let d(z) = 6*z. Let f(x) be the second derivative of x**3\/6 + x**2\/2 - 3*x. Let k(u) = -d(u) - 5*f(u). What is -8*a(l) - 3*k(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213763*h**3 - 213763*h**3 - 821*h**5 + 44*h**2 wrt h.\nAnswer: -49260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7\/4)\/(k*k**(1\/2)*k) assuming k is positive.\nAnswer: k**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 30*g - 2607. What is l(87)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 24. Let q be (g - -2)*1\/(-3). Suppose 5*p + 4*r + 3 = 0, -5*r + 6*r + q = 3*p. Are 1 and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvxvvvxvowcocxcvc. Give prob of picking 1 v, 1 x, and 1 o.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1075568 divided by -16.\nAnswer: 67223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (2 + sqrt(275))*-6 - (sqrt(275)*-2*5 + (sqrt(275) + 0)*-1 + sqrt(275))) + 1)**2.\nAnswer: -600*sqrt(11) + 4625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665402 (base 8) in base 6?\nAnswer: 4445014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -12, -43, -108, -219, -388, -627, -948?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 41 - 70 = -3*z, -3*z + 4*l = -25 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*o = 10, 0*k - 3*o = 3*k - 15. Solve -8 + 1 = 5*z + 2*l, k*z = 4*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83941 is divided by 83932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.1 (b) 0.3 (c) 1.1 (d) -0.1 (e) 1214 (f) -2\/13 (g) -2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 11*m**2 - 2*m + 26. Let z be g(11). Suppose z*f + 2*d + d - 167 = 0, -2*f - 3*d + 85 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2133 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -16*q + 24. Suppose 2*k + q = 4*k. Solve 1 = -u - k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 208.129 + -208. Let z = x - 0.329. Which is the smallest value? (a) 0.05 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x, -4*r - 196 = x - 188. Which is the smallest value? (a) r (b) -5 (c) 0.036 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(363)*1 - sqrt(3)))**2 - 4*(sqrt(108))**2.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1426602078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6945, -13984, -21027, -28074, -35125, -42180, -49239?\nAnswer: -56302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 2, -42, 1 in decreasing order.\nAnswer: 8, 4, 2, 1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 57 - 23 = 0. Let o = 18 - x. Let l be (o\/38)\/(9\/(-27)). Are 1 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 3*k**3 + 20*k - 31*k + 11*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109.9 - 460287.795.\nAnswer: -460397.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**3 - 49685*d**2 - 49680*d = 0.\nAnswer: -9936, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*w - 7*w. Suppose 1 = 4*a - w. Suppose q - 10 - 18 = -5*i, 2*q - 11 = 5*i. What is the remainder when q is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 16*k**2 - 29*k - 11. Let m be u(-14). Which is the third biggest value? (a) -1\/4 (b) m (c) 0.02 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(5\/2)\/v))\/v**(-1\/7))\/(v*v\/((((v*v**(-3\/4)*v)\/v*v)\/v)\/v)*v*v*((v**(4\/5)\/v)\/v*v)\/v) assuming v is positive.\nAnswer: v**(-407\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72, 144, 216, 288, 360?\n\"Answer: 72*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-280)\/(-12))\/(-7)*(439 - 446 - (-235)\/34).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16609721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103638025 is divided by 3454600?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*x + 197*x**2 - 42*x)*(-x**2 - 2 + 2)*(-23*x + 15*x - 20*x).\nAnswer: 5516*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c**2 + 2*c + c**2 + c**2 + 3*c**2 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 795*o**2*t**6 - 3*o**2 - 4*o*t**2 + 11*o*t wrt t?\nAnswer: 95400*o**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ittnjttnijtnjninn?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**3 - 5*l. Let v(h) = -11*h. What is 5*d(m) + 3*v(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33\/5 of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001275 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6493 + 6494. Sort n, 100, -0.2, -2\/3, 1\/2 in ascending order.\nAnswer: -2\/3, -0.2, 1\/2, n, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9480728 by -1654.\nAnswer: -5732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d. Let g(h) = h + 5. Let n be g(0). Suppose n*v + d = 40. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559855669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/(-49)*2\/(-10)*1195\/478.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = 29 - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*y + 15*y - 45*y)*(0 + 0 - 1)*(y + 0*y - 4*y).\nAnswer: -207*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + j)*(6*j - 2*j + 10*j) + (14*j + 17*j - 6*j)*(-5*j + 3*j + 4*j).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42141?\nAnswer: 3, 11, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450, -470, -482, -468, -410?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14454.4937 and -3.\nAnswer: 43363.4811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*a**2 + 8332975*a + 23570271?\nAnswer: 18*a + 8332975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7 - (1 + -7))*(-83)\/8 and -39\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -57, -22, 37, 126?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -9. Suppose 3 = -x*s - 0. Is (-2)\/s + (52 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2237223*y - 603190*y - 1.\nAnswer: -2840413*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 5*l. Let v be r(-3). Let x = 12 - v. Let a be -2*(1 + (-3)\/x). Which is smaller: 1\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1390, -2778, -4168, -5560, -6954, -8350, -9748?\nAnswer: -11148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23 + 1135*h + 183 + 60*h wrt h?\nAnswer: 1195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355129 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/14 and -25\/866?\nAnswer: 6062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11417 - -11480. Let m(t) = -t**3 + 9*t**2 + 11*t + 4. What is the least common multiple of m(10) and c?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*h + 3*k, -5*h - 2*k = -109850 + 109865 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2355768.725 and -0.042.\nAnswer: 2355768.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5037.746 and -1.\nAnswer: -5037.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**4\/3 - p**3\/2 + 2*p**2. Let a(t) be the first derivative of -12*t**2 + 8*t + 6414. Give -3*a(d) - 8*f(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -31*o - 1147. Let x be r(-37). Which is the closest to x? (a) -5 (b) 1\/124 (c) 0.3 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = -7*r + 4*r - 4*w, 4*w - 577 = -5*r. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**2 - 1026*o + 39585 = 0.\nAnswer: -377, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/108 and -5\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/116)\/2*(-492)\/1968\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 - 83. Suppose 3*n - 3 = 0, 0 = -4*l + 2*n + n + 9. What is the biggest value in -2, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - 3*f + 3*f + (3*f**2 + 3*f**2 - 4*f**2)*(-f**2 - 3*f**2 + 2*f**2) + (-8*f - 4*f - 13*f)*(0*f**3 + 0*f**3 - f**3).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d - 5*d + 0*d)*(-2*d**4 + 2*d**2 - 2*d**2) - d**5 - d**5 + 0*d**5.\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*h = 870 + 520, 0 = j + 2*h - 345. Suppose 26*b = 1083 + j. What is the remainder when b is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 28*n - 158. What is d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 935772, 935770, 935768, 935766?\n\"Answer: -2*k + 935774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*((-10332)\/396)\/41.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39795.\nAnswer: 3, 5, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 91564*i**2 - 136*i - 269. Is o(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5\/4, -2\/5, 3.5, 4, 118?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**3 + 11*d**2 - 530*d + 2141. Determine r(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036880 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 72 + 26. Suppose -8*g = 6*g - j. What is the remainder when 53 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1724 - -1678) + (5 + 0 - (1 + -4)) + 0\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194354239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60384 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:10 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -b4 (base 14) in base 9?\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (-5*(sqrt(99)*1 + sqrt(99) + sqrt(99)) - sqrt(99))) + sqrt(99))\/((-1*sqrt(81))\/sqrt(9))*5)**2.\nAnswer: 89100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6226 - 13?\nAnswer: -6239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -921 at most as big as -922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0104748 rounded to 4 decimal places?\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + 228\/(-24))*1\/(-2). Which is the third biggest value? (a) p (b) 2 (c) 10\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2350895 to two dps.\nAnswer: -3.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.1, 4476.3, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -4*i**3\/3 - 10. Determine v, given that q(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 2*m**2 - 21*m - 97. What is the units digit of h(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-11 - 1) + 22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (7 - -3)) + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120 - -104 - (-26 + 0)) + (-27 - 2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -12*z**4 + 1\/5*z**5 + 16*z + 2\/5*z**6 + 32*z**2 + 24*z**3 + 0. Let h(o) = 0. Calculate o.\nAnswer: -4, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2308 + -2306. Let a = 28 - 13. What is the units digit of 8\/w - a\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.72 (b) 6 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**6\/120 + 3*w**5\/20 + w**3\/3 + 2*w**2. Let v = -39 + 48. Let s be o(v). Solve -s = -r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/109 + -232\/763. Let t be (-80)\/28 - (-94)\/(-658). Which is the second smallest value? (a) -0.4 (b) t (c) -1\/2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 - -141. Suppose 4*r = -n*c - 43, 3*r + 0*c + 11 = 2*c. Put r, -1, 6 in decreasing order.\nAnswer: 6, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*t - 378, 202 = -3*l + 4*t - 175. Let o = l + 182. Calculate the remainder when o is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3221730*w**2 + 105201*w - 12 wrt w.\nAnswer: 6443460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = -2*t, 3*t = 5*j - 8800. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -32. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 8*u**2 + 5*u - 9. Suppose g + 7 = -0. Let x be q(g). Solve x*r - 3*r - 10 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t**2 - 56*t + 11. Let c be s(12). Let f = c + -188. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -225752.\nAnswer: -225752.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16956 and 5936013.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {d: 1, x: 2, u: 3, w: 4, k: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/90 and -62\/35565?\nAnswer: 213390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-four fifths of a day?\nAnswer: 18432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -706636?\nAnswer: -706637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11 and -1.3.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i + 23 + 34 + 49*i - 11*i + 2*i to n*i + b and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(10)*2*5))\/(sqrt(128)*-1*4 + sqrt(128)).\nAnswer: -sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(48) - sqrt(288)\/sqrt(6))\/sqrt(2))\/sqrt(12).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 26\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2 + -2372965.\nAnswer: -2372966.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 17. Let q(c) = c**2 + 4*c + 2. Let d be q(-4). Suppose -d*x - 5*n = -181, x + 3*x = -3*n + 355. Calculate the highest common factor of z and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 5, -2, -4, 4 in ascending order.\nAnswer: -4, -2, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 12:35 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssg when three letters picked without replacement from {g: 4, s: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o - 2. Let b be v(4). Let r be (-74)\/b - 2\/7. Suppose 32 = -r*d + 172. Solve -2*k - l + 8 = k, 2*l = 5*k - d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.134 + 7.97. Let j = r + 2. Let v = j + 0.2. What is v rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5 = 5*s, -3*s + 2*s - 1 = 5*u. Suppose 5*v - 2*v = u. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2701, 2700, 2695, 2680, 2649, 2596, 2515?\n\"Answer: -o**3 + 4*o**2 - 6*o + 2704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c, 5*c + 224 = -3*b - 1395. Let d = b - -802. Let j(t) = -259 + d - t. Let u(s) = 4*s. Determine j(u(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355213865.\nAnswer: 5, 179, 396887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1903, 7662, 17263, 30700, 47967, 69058, 93967, 122688?\n\"Answer: -a**3 + 1927*a**2 - 15*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 872*o**2 + 13*o - 116. Does 91 divide x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3007118 + -2147118. What is j rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 578471 or 5206228\/9?\nAnswer: 5206228\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1152 (b) 3 (c) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -20, -34, -52?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5153*t**3 - 11*t**2 - 2*t - 2. What is the remainder when g(-1) is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/264 - (-22)\/(-264)) + 32088\/1232\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*r + 216 = 0, 5*r - 280 = -0*q - 5*q. Let w = q - 47. Calculate the least common multiple of 18 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2461 - -54133\/22. Calculate the common denominator of d and 57\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**(4\/5))**(2\/11)*(o\/o**3*o**(1\/5))\/(((o**(-2\/9)*o)\/o)\/o)**(-26) assuming o is positive.\nAnswer: o**(-116491\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44 - 31 + 50 + 53*a**4 - 13*a**4 wrt a?\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8826 - 1986 = 6*s. Suppose -10*z + 14*z = -3*y + s, -y + 373 = -z. List the prime factors of y.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1 + (8 - 4). Suppose 0 = -y*j + 3*j - 36. Calculate the least common multiple of j and 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1298*f**3*q**3 - 240*f**2*m*q**3 - f*m*q + 4*f*m + 2*f*q**2 + 16237*m*q**3 - 7*m*q**2 - m wrt f.\nAnswer: 7788*f*q**3 - 480*m*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/35 - (-3)\/378*-22. Let g = -0.8 + 0.3. Let o be 2 - ((-24)\/(-10))\/1. What is the closest to 1\/3 in h, o, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/5)*f*f*f**6)\/(f**(-1\/8)\/f*f**(-1\/2))*(f**(-1\/3))**(-20)*(f\/(f*f*(f\/(f\/(f\/(f\/(f**(-2\/5)*f))))*f)\/f*f))**(-48) assuming f is positive.\nAnswer: f**(16787\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.9 (b) 1\/4 (c) 0.5 (d) 31 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 19. Give p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 34*g**3 + 6*g**2 + 206*g - 1074. Let h(v) = 43*v**3 + 6*v**2 + 205*v - 1073. Let u(y) = -5*b(y) + 4*h(y). Factor u(n).\nAnswer: 2*(n - 7)**2*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**2*d**3*r**2 - 5*c**2*d**3*r + c**2*d*r**2 + 3*c*d**2*r**2 + 2*d**3 + 2*d**2*r**2 + 5*d wrt d?\nAnswer: 24*c**2*r**2 - 30*c**2*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -432, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 46821b65 - 0?\nAnswer: 46821b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 0.3 (b) 15.2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*w = -60, 5*w - 211 + 76 = 5*p. Let y be 22\/6 - (-16)\/p. Solve -2 + y = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*r = -2*r + 3327 - 522 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m + m + 3*m + 5*m**2. Let s(w) = 11*w**2. Let v(y) = -4*s(y) + 9*u(y). Let l(g) = 3*g**2. Give v(l(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1 - 2*d - d**3 - 2*d - 8*d**2 - 7*d + d. What is the smallest common multiple of h(-7) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 c, and 1 o when three letters picked without replacement from {a: 2, c: 1, m: 11, w: 2, o: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21435 (base 9) to base 13.\nAnswer: -660b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28097060 a multiple of 883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221675196.\nAnswer: 2, 3, 23, 803171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46\/5842953 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -73*h - 2099. Calculate q(-29).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2311 + 2315. Let z(v) = 490*v - 6. Let j be z(4). Suppose -r*s = 5*p - j, -4*p - 1 = 7. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*a + 21, -11*g + 21*a + 25*a - 97 = -10*g - 32*a - 7*a for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1836.5 - -1836. Which is the third smallest value? (a) r (b) -3\/7 (c) -3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19145, 33950, 48753, 63554, 78353?\n\"Answer: -x**2 + 14808*x + 4338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = z - 20, -5*z = 4*y - 6 - 14 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*l, 0 = 2*k + 2*k - 4*l - 268. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.45 - -0.05. Let i = 4.5 - 0.5. Which is the third biggest value? (a) g (b) i (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 279*m - 3515. What is v(-13)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 103*t**2 + 1959*t + 42. Calculate n(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 48 = 4*x. Suppose x = b + b. Let g(o) = o**2 - 7*o - 2. Let i be g(b). Is i < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.51 * 2.7\nAnswer: 1.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -360 (b) 1 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83360095 and 119085850?\nAnswer: 833600950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = -2. Suppose -16 = -3*r + 4*g, 0 = j*r + 3*g - 23 - 16. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/20)\/((-1)\/(-96)*-3). Let u = -52 - h. Which is the closest to u? (a) -0.1 (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-492)\/(-5) - (-2)\/(-5). Suppose -n = -r + l + 32, -r - 3*l + 142 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5416 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 42*o**3 - 14*o**2 + 53*o - 98. What are the prime factors of b(6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:01 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4386, 8774, 13162, 17550, 21938, 26326?\nAnswer: 30714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3 + 5\/3*l - 1\/3*l**2 = 0. What is l?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 53 = 3*v, h + 4*v + 34 = -47. Let m(g) = -6*g**2 + 18*g - 5. Let p be m(5). Is p at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*l**2 - 53*l**2 + 23*l**2 + 38*l**2.\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 400\/281 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 1908.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**3 + 163*t**3 - 26*t**3.\nAnswer: 119*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -2527?\nAnswer: 2528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q + 25*q - 24*q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63214530.\nAnswer: 2, 3, 5, 47, 107, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 16) to base 5\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - 8?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 29770 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 0*x + 0*x**2 - 1\/120*x**5 - 1\/90*x**6 - 4\/3*x**3 + 0*x**4 + 3. Let p(z) be the third derivative of r(z). What is p(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -4, -3, -0.5, -174558?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-960)\/126)\/4 + 2. Let g = 291\/5 - 58. Let y be (-8)\/26*2\/(-4). Which is the closest to -2\/7? (a) g (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 64. Suppose -g = 3*h - 6*g - 71, -2*h + g = -52. Calculate the remainder when h is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 14. Let i(c) = 2*c + 7. Calculate 6*g(a) - 11*i(a).\nAnswer: 2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47428*d - 7*d**3 + 47428*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.274504 kilograms in nanograms?\nAnswer: 8274504000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - r = 5*s + 4, -5*r - 20 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*p + 5*u - 0*u, -2*p - 8 = 2*u. Let s = 299421\/109 - 2747. Is s at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 7*i**2\/2 - 7*i - 127. Let m(u) = -2*u - 3. Let s be m(-3). Calculate the remainder when 26 is divided by g(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 6*l**2 - 4*l**2)*(3*l + 2*l - 4*l) + (3*l - 4*l - l)*(l**2 - l**2 - l**2) + 2 - 2 - l**3 - 202*l + 387*l - 86*l**3 - 174*l.\nAnswer: -86*l**3 + 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117206782 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwgy when four letters picked without replacement from gggwggggyw.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*m = 94*m - 2020 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79.9 - 79.89999242. What is w rounded to 7 decimal places?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63878 (base 14) to base 11\nAnswer: 154688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 422 and -0.3.\nAnswer: -126.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:16 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 1, -4, -1.\nAnswer: -4, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36641604 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -975188, -975179, -975168, -975155, -975140, -975123, -975104?\n\"Answer: g**2 + 6*g - 975195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*24\/16.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -184.29 - -181.3392. Round h to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -35541544?\nAnswer: -35541551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*a = a - 7, 4*j - 29 = -a. Let v = 23 - j. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2713*r**3 - 1595*r**2 + 2719*r**3 + 0*r + 0*r to the form w*r + v*r**2 + i*r**3 + j and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from uvuioip.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -8*q + 4*q. What is the remainder when 75 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9387501 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.34?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3\/5 (c) 4 (d) -14\/395 (e) 1.6 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 13*y - 41*y**3 + 42 + 42*y**3 to l + r*y**3 + v*y + c*y**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -51. Suppose f = -8*d - 0*d + 33720. Is (-3)\/(-12) - (d\/(-4))\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -819*h - 10675. Give q(-13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**3\/2 + 3*r**2 + r. Let b be a(6). Let z = -18 + b. Solve -z*k + k - 4*m + 35 = 0, -4*m = -4*k - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7636\/(-182)*11\/(-88) - 10\/2 and 43\/364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28962 - 0.600541.\nAnswer: -28962.600541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.0584um in millimeters?\nAnswer: 0.2630584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2200 and 63624.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h**2 - 1237*h + 3712. Calculate k(3).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -2801\nAnswer: -840.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/6 (b) -16 (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let v(s) = -25*s**2 + 1. Calculate -2*v(y) - 4*z(y).\nAnswer: 46*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 124*d**2 + 705*d + 66. Let v be z(-6). Factor -85\/3*c**2 - v + 340*c - 40\/3*c**3 + 5\/3*c**4.\nAnswer: 5*(c - 6)**2*(c - 1)*(c + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3533271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -542540860.3 - -0.173.\nAnswer: -542540860.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27014.4 rounded to the nearest 100?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -50. Is 10 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81658875 divided by -1088785.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 227. Let c = g + 111. What is the least common multiple of c\/(5\/(-2 + 192)) and 22?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/30)\/(1\/6). What is the tens digit of 2\/2*(p + 37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 169\/(-117) + 12\/2)*6.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Suppose 5*d - 25 = 5*o, -377*d - 1 = -378*d. Put 2, o, u, 5 in decreasing order.\nAnswer: 5, 2, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6452868m to kilometers.\nAnswer: 0.0006452868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/40 - (-2067)\/(-12). Let s = x + 176. Calculate the least common multiple of 3 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845943.4 tonnes to milligrams.\nAnswer: 845943400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 78, 109, 170, 267, 406?\n\"Answer: h**3 + 9*h**2 - 3*h + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -1121?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1094727944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:00 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 82115, 163982, 245849, 327716, 409583?\n\"Answer: 81867*i + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -759, -1543, -2315, -3069, -3799?\nAnswer: -4499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-1\/41)*(l**(-1))**(33\/4))\/((l**0)**(1\/53)*l*l\/(l*l**(8\/5)*l)*(((l**(-2\/3)\/l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(-4939\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 480*g**3 + 3*g + 2*g + 484*g**3 to the form i + d*g + j*g**2 + m*g**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/8*114\/(-9). Let f be (1 + -5)*h - 1. What is the units digit of (-1 - 6)*198\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2768, 5538, 8322, 11132, 13980, 16878, 19838, 22872?\nAnswer: 25992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 20616733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 9*b**2 - 23*b - 6. Suppose 0 = -8*w + 8 + 24. Let r be 5\/(-5)*(w - -7). Let o be z(r). Solve 0*f - 20 = o*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*-6*sqrt(539))**2.\nAnswer: 1680*sqrt(11) + 485116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 330401142132?\nAnswer: 330401142122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - y + 3, 41 = -7*t + 33*y + 75 + 86 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84622 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) - (-45)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 - 2*j**2 - 3*j + j + 44 + 2*j**3 + 23*j**4 as o*j**3 + k*j**2 + i*j + d + f*j**4 and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401*o = -402*o + 4. Solve 0 = -o*p + 7 - 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*o + 19 - 10 - 11 - 1 - 1.\nAnswer: -101*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w**3 - 85*w - 333. What is l(-6)?\nAnswer: -1551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r. Let j = 12 + -11.9. What is the closest to 0.1 in j, r, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c + 7. Suppose 3 + 13 = 16*r. Let b be k(r). Solve 12 = -4*t + q - 0, -4*t + 2*q - 8 = b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -49. Suppose -5*n = 2*k - 5*k + y, -5 = n. Let f be (7 + 1 + -5)*(-2)\/9. Which is the second biggest value? (a) k (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 637 + -574. What is the remainder when 267 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 4*j - 14 - 27 = 0, -20*l - 810*j - 40 = -814*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 1\/12*v**4 + 0 + 0*v**3 + 0*v**5 - 1\/10*v**6 + 0*v**2 + 2*v. What is the third derivative of f(n) wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*h + 10, 482 - 452 = 5*h - 5*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1*229\/1374)\/((-77)\/(-6))\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1261726897 to the nearest integer?\nAnswer: 35521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2\/3*x**2 + 4\/3*x + 0 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s - 2 = 0. Let j be (s*(-6)\/8)\/((-5)\/10). Suppose -j*t - 3 = -2*d + 5, 0 = -t - 2. What is the highest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163*z**4 + 93*z**2 wrt z.\nAnswer: 3912*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65205744 to the nearest integer?\nAnswer: 8075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/25 + 142*c**4\/25 + 8882*c**3\/25 - 142*c**2\/25 - 1776*c\/5 = 0. Calculate c.\nAnswer: -40, -1, 0, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*w = -6*c, 5*w = 15. Let l(a) = -3*a**3 + 2*a + 1. Let n be l(-1). Put 1, n, c in decreasing order.\nAnswer: n, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/28307160 and -15\/18403?\nAnswer: 311378760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4522028 divided by 161501\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9*n = 52. Solve g - 4*q = -14, 0 = -4*g - 2*q + n + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**2. Let t = -11 - -13. Let k(q) = 9*q**2 - 8*q**2 - 2*q**t. Calculate k(n(x)).\nAnswer: -121*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125 - 76*s + 125)*(0 - 3*s**2 - 5 + 1).\nAnswer: 228*s**3 + 304*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*x**2 - 2)*(0 + 2 - 3)*(-269*x - 4565 + 4565) to the form u*x**3 + b*x**2 + p*x + a and give u.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*n**3*r**2 - 2*n**3*r - n**3 + 277*n**2*r + n*r**2 - 21*r**2 - 64*r wrt r.\nAnswer: 250*n**3 + 2*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 468\/(-81) - (-3828)\/27. Let h = 160 - l. Solve -h = 12*q + 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/242)\/((-9)\/(-6))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*a - n, -2*a - 17*n + 23*n = 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x. Let l(z) = 48*z + 632. Determine l(s(j)).\nAnswer: 144*j + 632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let g(s) be the first derivative of 5400*s**3 - s**2 - 2*s + 20. Let d be g(v). What is d rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a year in months?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145433788?\nAnswer: 2, 36358447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from owqrrhwrhhe.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 24 = f, -4*f - 10 = 3*u - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 754*q + 3000. Calculate w(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b**2 - b - 1. Let i(k) = -2*k**3 + k**2 + 4*k - 6. Let v(g) = g**3 - g**2 - 3*g + 5. Let z(m) = -5*i(m) - 6*v(m). What is 2*q(n) - z(n)?\nAnswer: -2*n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/4553 and -5\/409299.\nAnswer: 11869671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a decade in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 22*j - 6 - 11*j + 3. Is l(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000824687 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(158*p**4 + 327*p**4 - 274*p**4) + 1 - 4*p**4 + p**4 + 1.\nAnswer: -214*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19377, -38781, -58203, -77649, -97125, -116637?\n\"Answer: -p**3 - 3*p**2 - 19388*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a - 79 = 49 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -1939, -4757, -8807, -14089, -20603?\nAnswer: -28349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27\/4 of a microsecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 30, 70, 146, 270?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 22 + 16)*(-3 - 3 + 5)*(b - 3*b + 0*b).\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*i - 16, i = -2*o - 3 + 1. Calculate the greatest common divisor of i and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/2*1030\/7725*(-10)\/1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - n + 3. Let k(y) = -16*y**2 + 8. Let v(h) = 9*h**2 - 4. Let c(j) = -3*k(j) - 5*v(j). Give -3*c(d) - 4*o(d).\nAnswer: -d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(272) + 4)**2.\nAnswer: -160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-6) + 2 - 2. Let m(n) be the second derivative of 2*n**3\/3 - n**2\/2 + n. What is m(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -134 and 542.\nAnswer: -72628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 - 130. Suppose 4*b - 6*b + 12 = 0. Suppose b*u = 3*u + 702. Calculate the remainder when u is divided by i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*m**4 - 2\/13*m**2 + 0 + 0*m**3 + 0*m.\nAnswer: 2*m**2*(m - 1)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 5, -15, 3 in ascending order.\nAnswer: -15, 2\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 9*x + 57. Give n(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**4 + 4*i**3 - 2*i**2 - 2. Let n(h) = 496*h**4 + 48*h**3 - 26*h**2 + 398. Let s(u) = n(u) - 12*p(u). Find the third derivative of s(a) wrt a.\nAnswer: 11616*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 20*i - 12*i, 4*i = -4*w + 5173684. Round w to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69604*y + 8875 - 8875.\nAnswer: -69604*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/2)\/(-16))\/(195\/60).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**4\/12 + 2*w**2 - 50. Let t(l) = 32*l**2 - l**2 + 10*l**2. Calculate t(a(o)).\nAnswer: 164*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 3*h**2 - 2*h)*(11 + 146 - 65 - 6*h).\nAnswer: -18*h**3 + 276*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4ba3 - 4?\nAnswer: 4b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 914566.8 weeks?\nAnswer: 153647222.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 91214298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**3 + 18*o**2 - 18. Let l(k) = -k**3 - k**2 + 1. What is 54*l(t) + 3*q(t)?\nAnswer: -27*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**3 + 2*q**2 + q - 3. Let z = -303 + 301. Let i(c) = 4*c**3 - 3*c**2 + 2. Give z*a(x) - 3*i(x).\nAnswer: -2*x**3 + 5*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*x**4 - 70*x**3 - 2*x**2 - 79*x + 8?\nAnswer: 240*x**2 - 420*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**2 - 391*b. Let s(o) = 12582*o + 4. Calculate s(l(z)).\nAnswer: -100656*z**2 - 4919562*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8904?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 131234366 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6786147\/22 - -308460. Let r be (3\/(-895))\/(4\/25). Let s = -31251\/5012 - r. Calculate the common denominator of c and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 227*l**3 + 2*l**2 - l + 4. Let h be f(2). Let c = 2984 - h. Find the third derivative of 12*o**6 - 2*o**6 - 1194*o**2 + c*o**2 wrt o.\nAnswer: 1200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 10:36 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -368, -367, -366, -365, -364?\n\"Answer: y - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkkjzkzkkkkdjzzk. What is prob of sequence zjd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = v, -v + 4*g = 2 + 9. What is the tens digit of 3\/v*13*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 212612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83945\/6 + 13993. Which is the smallest value? (a) 4.6 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4)*-2*3\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -9*u**5\/4 + u**4\/24 + 47*u**3 + 222*u**2. Find the first derivative of o(n) wrt n.\nAnswer: -270*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 0.06788.\nAnswer: -0.03212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*r**3 + r**2 - 28*r**4 - r**4 + 10 + 15*r**4 + 2*r + 13*r**4 + 0*r**2 to a*r**4 + f*r**2 + n*r**3 + p + t*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)*d*d**(27\/4)*d*(d**(-1\/4)*d)**(-16))**(-5) assuming d is positive.\nAnswer: d**(245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*11*2. Let t(q) = 3*q + 109. Let b be t(i). Solve -15 = 5*j - 5*u, -4*j + b*u = 5*u + 17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*j + 3. Suppose 0 = 2*s - p + 3 - 17, 0 = -p - 4. Let q = s - 2. Solve 0 = -5*a + j*m - 3, -3*a - m = -2 - q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40094 + 40096. Solve 2*n - 17 = y - 20, 0 = -2*n - w*y + 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(-2) assuming h is positive.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -b791?\nAnswer: b7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w. Let i(c) = 733235*c. Determine i(v(h)).\nAnswer: 2932940*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(6\/8*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, -5, -55, 14, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = r - 31, 4*n + 3 = -1. Let a = r + 15. Suppose a = i - 36. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 * 1\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 2*v + 5. Let n be g(-5). Let q be (n + 2)\/((-167)\/(-2)). Let p = 20981\/1670 - q. Find the common denominator of -23\/6 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - a + 6 + 25 = 0, 5*s + 4*a + 45 = 0. Let t = s + 16. Suppose -t*f + 268 = f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5\/9 - 32*h**4\/3 - 1138*h**3\/9 - 572*h**2 - 984*h - 528 = 0.\nAnswer: -33, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1777 - 1777 + 9*m + 11*m**4 - 2*m**2 + 15*m**4 + 19*m**4 in the form o*m**4 + j*m**2 + n*m**3 + y*m + w and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -3\/2 (c) -2\/7 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-1\/3)))**(-48)\/(p*p\/p**(-1\/4)*p)**45)\/((p*p**(-1\/4))**(2\/7)*(p**3\/p)\/(p*p**(-1\/3))) assuming p is positive.\nAnswer: p**(-11071\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.8 - -17. What is the nearest to d in -1, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = t. Let y be 6\/(-2) - (t - -5). What is the second biggest value in 2, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 2*k**2 + 4*k**2 + 10.\nAnswer: -2*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3*x**2 - 86*b**3*x - 46*b**3 + 2*b**2*x**2 + 2384*x**2 wrt x?\nAnswer: -6*b**3 + 4*b**2 + 4768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 30581217?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmm when three letters picked without replacement from {m: 4, f: 10}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h + 2 = 0. Let i = -1443\/20 - -723\/10. Is i at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 0 + sqrt(300))*-6 + -5 - -1*(sqrt(300) + 3 + sqrt(300) + 4 + sqrt(300)))**2.\nAnswer: -360*sqrt(3) + 24304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -1 - 1\/3*h**3 + h**2 + 1\/3*h = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 902 - -4?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**3 + 2*f**2 - 2*f - 1. Suppose -3*y + 2 + 16 = 0. Let g(b) = 7*b**3 + 3*b**2 - 3*b - 1. Let p(s) = y*w(s) - 5*g(s). Solve p(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166b5 (base 13) to base 12\nAnswer: -209b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10.268775363+0.16\nAnswer: 10.428775363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -89. Let c = d - -117. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 4 = -q - 3, -6*t + 13*q - 20 = 13 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, -2 in increasing order.\nAnswer: -18, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + l**2 - 10*l**2 - 3*l**2 - 12*l + l**3.\nAnswer: -3*l*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*u - 17, -2*l + 17 = 4*u + 3. Let s be -3 - -2*l\/10. Is (-2688)\/(-18) + s\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -937.8243 and -10.5.\nAnswer: 9847.15515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 15 = 11*o. Suppose 128 = -4*f + 2*k + 4280, 3112 = o*f - 2*k. Round f to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1415 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2302 - 1802 = -143*g + 1616 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(245) + sqrt(245) + 5)*4 + 3*(sqrt(245) + 0 + sqrt(245) + 2 + sqrt(245))*-2)**2.\nAnswer: -840*sqrt(5) + 24536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*q - 8 = 0, 5*i = 7*i + 4*q - 2. What is the third derivative of a**2 + 234 - 20*a**i - 234 wrt a?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1687.3201 rounded to the nearest 10?\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16440 + 16444. Solve 42 = -3*g - h*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78047, -78025, -77987, -77927, -77839, -77717, -77555, -77347?\n\"Answer: d**3 + 2*d**2 + 9*d - 78059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627528 divided by -4?\nAnswer: -156882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(425) + 1 + 0)**2 + 4.\nAnswer: 50*sqrt(17) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -83253.559 times 1?\nAnswer: -83253.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10086 + 11622. What is the greatest common divisor of l and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2917606 and 3.\nAnswer: -0.8752818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29480150 is divided by 777?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42032, 168214, 378526, 672968, 1051540, 1514242, 2061074?\n\"Answer: 42065*a**2 - 13*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.21*-32.1\nAnswer: 6.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15 = 2*s. Suppose -2*t - 4 = -4*p, 3*t + 0 = 5*p - s. Suppose 0 = 3*y + 4*i - 26, -y + i + i + 2 = t. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6470, 443 in increasing order.\nAnswer: -4, 443, 6470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**7\/840 - 23*p**6\/80 + 5401*p**5\/240 - 460*p**4 + 12800*p**3\/3 - 2*p**2 + p - 549. Factor m(k).\nAnswer: (k - 64)**2*(k - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2521 = -4*r - 2513, 0 = 4*r - y - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 104*g + 2587. What is n(-52)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/311? (a) -1\/10 (b) -63 (c) 5\/12 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -h, -3*x - 10 = -7*x - 2*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/5 + ((-522)\/29 - -17) - (-72)\/(-155).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3117435253515 - 83\nAnswer: -3117435253598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 38\/57*(-1)\/(-1)*(-21)\/119\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 216579*o + 433179*o + 0 + 5*o**2 - 216600*o.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*w + 2068 = -83*w. Solve 8*t = w - 38 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14443 times -38\nAnswer: 548834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncwwbal. Give prob of picking 1 a and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6096290289.\nAnswer: 3, 2032096763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m + 274. Let p be i(24). Suppose p*j = -2*j - 204. Round j to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -75. Let d = 1737 + -1647. Calculate the lowest common multiple of f and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.087 + -2.087. Put -14, x, 16 in descending order.\nAnswer: 16, x, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 296*b**2 - 22*b - 21. Calculate the remainder when v(-1) is divided by 71.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3197, -12731, -28601, -50807, -79349?\nAnswer: -114227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -829.897 and 0.1.\nAnswer: -82.9897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 61.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q = 23*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 2*z + 25 - 24, -18*j - 50 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3282345 (base 10) to base 14\nAnswer: 616293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 49*v - 115. Let i be n(5). What is the second derivative of i*x**2 - 7*x + 42*x + 63*x + 23*x wrt x?\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 8*t**4 - 132*t**3 + 172*t**2 + 120*t = 0.\nAnswer: -1\/2, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 88*w + 2. Suppose 0 = -5*t - 30. Let d be h(t). Let n = -261 - d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 83021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6 and -152378.\nAnswer: -152378.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l + 160*l + 46 - 170*l + 110.\nAnswer: 17*l + 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1780)\/(-8)*2*(-6)\/(-5). Find the second derivative of 32*s**4 + 534 - v - 83*s wrt s.\nAnswer: 384*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = -5*q - 1190, -2*y + 4*q = -468. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (485\/30)\/((-1)\/(-6)). Let y = r - 54. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2362369 + 3074*i - 67*i**2 + 97*i**2 - 29*i**2.\nAnswer: (i + 1537)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8)*-2)\/(13*(-3)\/(-156)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 3*v + 8. Give n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 14*y**3 + 2*y**2 - 1. Calculate z(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 15*h**2 + 5. Let o be (-5 + 0)*(9 - 8). Let c(t) = 8*t**2 + 2. Let j(i) = o*c(i) + 3*m(i). What is the first derivative of j(s) wrt s?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69870184?\nAnswer: 2, 43, 101, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/2566360 and 51\/10?\nAnswer: 2566360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - 4.1. Let b = w + 6. Does 2\/11 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4\/7))\/d**(1\/2)*d**(-1\/2)*d**(4\/3)\/d)\/(d**(-6)*d**(2\/9)\/d)**(-19) assuming d is positive.\nAnswer: d**(-8128\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -535, -1075, -1617, -2161, -2707, -3255?\nAnswer: -3805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -103? (a) -0.2 (b) -4 (c) -1\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2 and -75\/1568?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*m = -40, 3*y - 2*m + 5*m - 24 = 0. Suppose -y*c + 4*c = 0. Let t(x) = c*x - 4*x + 3*x. Let a(o) = o. What is t(a(i))?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5252.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(450))\/((sqrt(320)\/sqrt(160) - sqrt(32))\/sqrt(8)).\nAnswer: -4*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*(-35)\/(-35)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58943 is divided by 427.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 3:09 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, p: 3, t: 3, z: 3, y: 3}. What is prob of sequence htz?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/16 in -0.4, 405, -3\/4, -5, -0.033?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1216)*2 + 5 - (0 + sqrt(1216))*-4)*-2 + -5)**2*-6.\nAnswer: -1053024 - 23040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 12) in base 7?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 77373 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*m + 34 = -3*y, 0 = 4*m - 12. Let q = 6 + y. Let k be ((-6)\/q)\/((-198)\/(-24)). Sort k, 1\/2, -5 in descending order.\nAnswer: 1\/2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -8, 8\/7, 3, -1\/44, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882 = -7*z + 2436. Let y = z + -143. Calculate the remainder when 233 is divided by y.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 5*u - u)*(-2*u**4 + 2*u**4 + 3*u**4) + u**2 - u**2 - 3*u**5.\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 96 = 3*l. Suppose -17*v + l*v - 273 = 0. What is the remainder when 55 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l. Let i(w) be the second derivative of 0*w**2 + 3*w + 1\/3*w**3 + 0. Give i(j(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-2\/45)*c*c*c**(-1\/37) assuming c is positive.\nAnswer: c**(4876\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -10*r - 95. Do r and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.60973 micrograms in grams?\nAnswer: 0.00001260973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143563 (base 7) to base 4.\nAnswer: -12301102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 6 = t. Sort t, -1, 5 in decreasing order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 627693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/12 and -45\/98.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m + 15. Let b(a) = -3*a - 7. What is -7*b(r) - 4*k(r)?\nAnswer: r - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/1024998 and -17\/18552?\nAnswer: 4099992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86297279921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 2*d + 16, 0 = 73*d - 28*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u, 0 = -3*p + 2*u + 570. Let b(v) = -v**3 + 30*v**2 - 52*v - 55. Let m be b(28). Calculate the highest common divisor of p and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -953*z. Let w(g) be the second derivative of -g**3\/6 + 4*g + 1291. What is w(s(d))?\nAnswer: 953*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*u - 147*u - 203*u - 348*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6381940, 12763873, 19145796, 25527703, 31909588, 38291445, 44673268?\nAnswer: 51055051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 6\/14785703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -995? (a) 43 (b) 0 (c) -0.4 (d) 4.9 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 + 4 = 5*s, 2*f - 6 = -4*s. Let o(w) = w**3 - 10*w**2 - 12*w + 14. Let g be o(f). Let j be (-3)\/(g\/5)*-1. Solve j = 2*c - 7*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:02 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -1154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.108223um in nanometers?\nAnswer: 6108.223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3836 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 10*k + 6. Let l be u(-5). Let i(w) = 2*w - 8. What are the prime factors of i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -117*r + r**3 + 13518*r**2 - 1 - 6714*r**2 - 6768*r**2. Determine j(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4056.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -37*g - 1. Let j be s(-13). Suppose -250 = -10*w + j. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 - -96. Let t(v) = -160*v**2 - 69. Let r(j) = 239*j**2 + 104. Let u(z) = p*r(z) + 7*t(z). What is the derivative of u(a) wrt a?\nAnswer: 150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6356, -6, -9 in descending order.\nAnswer: -6, -9, -6356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -49. Let i = -14 + 16. Suppose 0 = -y + 3, 2*c + 4*y - 44 = -i*c. Calculate the remainder when b is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2845439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.582848 litres to millilitres.\nAnswer: 582.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**2 + 9*b. Let g(m) = -3*m**2 + 3*m - 3. Let j(y) = 7*y**2 - 7*y + 7. Let z(x) = -5*g(x) - 2*j(x). Let h(t) = o(t) - 2*z(t). Factor h(f).\nAnswer: -(f - 1)*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtltlhllh. What is prob of sequence lh?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 7 + 1)*(0*w + 0*w - w) to the form i*w + r and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 4*o**2 - 2*o + 5. Suppose -18 = 12*k - 94 + 40. Let r(d) = 2*d**3 - 3*d**2 + d - 4. What is k*u(c) + 4*r(c)?\nAnswer: 5*c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -83. What is the derivative of 0 - 4 + 27*s**4 - j wrt s?\nAnswer: 108*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/((-16)\/312). Let f = y + 19. Let l be -4 + 3 + f + 0. Solve l*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - 5*l + (2 - 4 + 3)*(3*l + 5*l - 5*l))*(-2*l - 5 + 5)*(5*l + 2*l**2 - 3*l - 4*l**2).\nAnswer: 4*l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -436, -447, -460, -475, -492?\n\"Answer: -g**2 - 8*g - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 10*c - j = -3, 0 = -7*j + 21 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g. Let j(r) = -5*r. Let o = 6 - 0. Suppose o*f - 6 = 9*f. Let y(h) = f*j(h) + 3*u(h). Let q(n) = -7*n. Calculate q(y(v)).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6620 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1433 - -5630. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992 is divided by 1123.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190)*-1)*-6)\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 580 and 76722110?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**5\/30 + s**4\/12 - 7*s**3\/6 + 14*s**2. Let z be c(2). Which is bigger: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - sqrt(425)) + 5 - (4 + sqrt(68) - sqrt(17))) + 1)**2.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 40*j**3 - 29*j + 27*j - 21*j**3 - 4*j**2 + 1 - 20*j**3. Determine p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1764*p**4 + p**3 + p**2 - p + 34539.\nAnswer: 21168*p**2 + 6*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00149478 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/77*-4*(-14)\/(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2997043*j**2 - 998753*j**2 - 999531*j**2 - 998756*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*n - 35 = -21*t + 56*n + 61*n, 0 = t - 3*n + 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -180*s - 52. Let k be o(-3). Let b = 670 - k. Suppose 0*p = p - 5*x - 51, -5*p = -3*x - 233. Calculate the remainder when b is divided by p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -252 * -0.17.\nAnswer: 42.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2) - -6*42\/6. Suppose 0 = 5*z - 3*p - 110, 4*p - a = 2*z - 3*z. Calculate the smallest common multiple of 5 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-18)*6*1\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.32147km in micrometers?\nAnswer: 68321470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294 and 768?\nAnswer: 37632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28349920 and 254640?\nAnswer: 85049760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from vyhyyyyvyjyvuyjhb?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*u - 19899 = -7719 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 214 - 145 - 276 - 269 - 484)*(33*h**4 + 20 - 20).\nAnswer: -44253*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4143)\/129*-1)\/((-120)\/(-14)). Let x = -2\/645 - v. What is the common denominator of 97\/36 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roiixvvvixwi. What is prob of sequence wvi?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 65\/10 - (-4)\/(-8). Suppose 4*j - k*j = -6. Suppose -4*x + 22 = 5*n, -5*n = -3*x + 6*x - 24. Calculate the greatest common divisor of n and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - h - 4. Let z(u) be the first derivative of 2*u**3\/3 + 2*u + 49. Give -4*m(i) - 9*z(i).\nAnswer: -2*i**2 + 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 1656 = -11728. Determine w so that -h*w + 9 + 1 + 1937*w - 25*w**3 - 10*w**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21897569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/4, -1\/129 in decreasing order.\nAnswer: 2, -1\/129, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8092 = -2*m. List the prime factors of m.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5761029 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 189798 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59121542.2449 - 59118641. Let w = c + -2903.04490101. Let h = w + 1.8. What is h rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) + (sqrt(68) - (-4*sqrt(68) + sqrt(68))))*-2*-4)\/(sqrt(256) + sqrt(256)*1*-3 + 6*(sqrt(256) - -1*sqrt(256))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 398 and 117\/15 + (-1)\/(-5).\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -2.93.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8801 is divided by 2928.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, u: 1, y: 3}. Give prob of sequence yysu.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j + 7*j + 8*j)*(-31 + 29 - 154*j + 2*j**2 + 3).\nAnswer: 56*j**3 - 4312*j**2 + 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/8)*u*u*u*u\/(u**10*u*u))\/(u**(-6)*u*(u**(-1)*u*u)\/u*u) assuming u is positive.\nAnswer: u**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:22 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) 8 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q - 411*q - 1470 = 4162 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 17*n - 8. What is the tens digit of j(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 2*u + 13. Let o be p(-4). Let a be (-5 - 1)*36\/o. What is the first derivative of 10 + 12*h - 20*h + a*h + 11*h**3 wrt h?\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -265, -1485, -3511, -6337, -9957, -14365, -19555?\n\"Answer: s**3 - 409*s**2 + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 8322092\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 20*x**2 - 13*x + 20. Let t be v(-20). Suppose -i + 6*i - t = 0. Suppose -p = 3*p - 4, -2*p + i = q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -16. Suppose r = 3*h - h. Suppose -3*z - 3*s + 1638 = h, -2*z + 307 = -5*s - 792. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2468636 divided by 617159.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/20 + (-33858)\/(-45).\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -5 - (0 - -2). Suppose 0 = -2*s + 9 + n. What is the second derivative of 4*t**s + 6*t - 3*t**5 - 10*t wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1493190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 735, 2521, 6383, 13359, 24487, 40805?\n\"Answer: 173*n**3 + 575*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 (base 7) in base 16?\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 159, 8, 5, -1 in decreasing order.\nAnswer: 159, 8, 5, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -6.6. Let v = -101 - -104.96. Let z = v - -0.04. What is the second biggest value in z, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 - (-2 - 0) - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*(-476)\/(-34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -171234781, -171234779, -171234777, -171234775, -171234773?\n\"Answer: 2*m - 171234783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 72*g**5\/5 - 416*g**3\/3 - 163*g**2 + g. What is the first derivative of o(i) wrt i?\nAnswer: 1728*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21435944?\nAnswer: 2, 2679493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22653?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3199 divided by 48071?\nAnswer: 3199\/48071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/7 - (-58)\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**4 - 35*v**3 + 72*v**2 - 51*v + 26. Let d(i) = 9*i**4 + 141*i**3 - 288*i**2 + 201*i - 105. Let o(s) = 5*d(s) + 21*z(s). Factor o(g).\nAnswer: 3*(g - 7)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**(-10))*s)\/(s\/((s\/s**(-1\/10)*s)\/s)))**(-1\/13)\/((s*s*s*s**(-1\/5))**27*(s*s**(2\/3))**(-2\/15)) assuming s is positive.\nAnswer: s**(-87301\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2) + 5 - sqrt(2) - (3 + sqrt(288))**2) + ((sqrt(72)*-3)**2 - 6*(sqrt(50))**2).\nAnswer: -74*sqrt(2) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, j: 1, s: 1, b: 7, z: 1, h: 2}. Give prob of sequence bjh.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/120 - 2*h**5\/15 - 3*h**4\/8 - 2*h**3\/3 + 67*h**2. What is s(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 242577062?\nAnswer: -242577064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -67*k + 79*k + 12 - 29. Let v be (8\/(-14))\/((-1)\/7). Is d(v) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -554\/115 - -20660092\/4288695. Let f = y - -617421\/273482. What is the common denominator of f and -133\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3184 is divided by 347?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228 - -130. Suppose -4*r = -s - g + 15, 4*r - 346 = 2*s. Suppose h - 40 = -4*f + 35, -4*f + h + r = 0. What is the remainder when 35 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1401672*n**4 + 2*n**3 - 4205016*n**2 + 2803338*n + 4 = 0. What is n?\nAnswer: -2, -1\/700836, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2090\/17 + 123. Let l = 39\/85 - a. Sort -1, l, 3.\nAnswer: -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3642037.\nAnswer: 7, 520291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) + (-22)\/8. Let y be (-5)\/n + 8\/24. Suppose -j + 5 = -y*j. Let x(r) = 2*r + 2. What is x(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -7.9. Is n greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -24*i + 1885. Let f be w(77). Solve 0 = 2*v - d, -2*v - d = f - 33 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 6) to base 14\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 1, f: 2, g: 1, q: 2, m: 1}. What is prob of sequence fm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 80\/(-50)*(-115)\/2. Suppose -2*d - y + 174 = 0, -d + 0*y + n = 3*y. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4576362*i**5 - 6*i**4 + 7*i**2 - 30825686 wrt i.\nAnswer: -274581720*i**2 - 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*x + l, x - 5*l - 6 = 3*x. Suppose 5*u - 878 = -3*d + x*d, -5*d + 15 = 0. Let c be 4\/(8\/u)*10. What is c rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/91 + 3\/13. Let j = -0.81 - -0.01. Let k = 1578 - 1576. Which is the second biggest value? (a) k (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1004 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 3\/4*b**4 + 0*b - 1\/3*b**3 + 3 + 0*b**2. Find the third derivative of q(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216\/17*g**2 + 60\/17*g**3 + 2\/17*g**4 + 208\/17*g + 0 = 0.\nAnswer: -26, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r - 58. Let w be d(-10). Let m(f) = -12 + 0*f + 37 - 5 - w*f. Give m(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 12*x**2 + 11*x - 16. Let y be r(-13). Solve -5*u = -7*u + y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, 4, -0.5, -10\/17, -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p. Let l be d(2). Suppose 4*v - l*k = 40, 5*k = 4*v - 15 - 25. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1760*a - a**2 + 541*a + 829*a.\nAnswer: -a**2 - 390*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16294241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkekleltklkkklkl. Give prob of picking 1 k and 1 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.64 + -1.63862. What is f rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 19, 60, 139, 268?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 3*z**2 - 4*z. Let x(c) = -c**3 + 4*c**2 + 5*c. Let w(h) = 4*o(h) + 3*x(h). Let y be (-2 + 6\/2)\/1. What is the units digit of w(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 23*g - 89 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*w + 3*m + 351, -3 + 4 + 4 - 7 = m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = i + 3*q + 15, -q = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*o + 21341 - 11741 = 0 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 17564 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9083761 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 - -436\/3. Sort -2\/9, m, 0 in decreasing order.\nAnswer: m, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/49*0\/(-9). Let a be 7 + -4 - (0\/(-3))\/1. Solve -n - a*i - 12 = y, -1 + 4 = -3*n + 2*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*f - 91472 - 89336 = 0, 5*w = 3*f + 226012. What is w rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -884, 0.2, -5, -1\/3, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1087 divide 35254223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139446 is divided by 1339.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8481594 rounded to 2 decimal places?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*t**3 - 10*a*t**2 - 37819*a*t - 2*a + 77*t**5 wrt t?\nAnswer: 6*a*t - 20*a + 1540*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (380\/4)\/(-19)*2\/6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1100*l*p**4 - 8*l*p**3 - 2*l*p**2 + 356*l*p - 2*p**4 + 43 wrt p.\nAnswer: -26400*l*p - 48*l - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96 or -89?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 8*s - 24. Let a be n(-2). Let f be 0*2\/4*-2. Suppose -4*l + f*d = 3*d - 32, 7 = -l + 3*d. Solve 5*w + 1 = -l*g + w, a = g - 5*w - 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*n = 3, 4*r - 3 - 3 = -2*n. Let j be -1 + ((-1)\/(-1) - -13). Suppose -2 - j = -r*c. Solve 0*m = -c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from {g: 2, f: 1, x: 1, z: 1, n: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -6 (b) 1\/6 (c) -30 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, 59, 240, 533, 962, 1551, 2324?\n\"Answer: 4*j**3 + 20*j**2 + 5*j - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/3 + 26*m\/3 - 8 = 0. What is m?\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 990\/75*3\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 5*w - 2. Let z be k(-2). Let b(d) = d**2 - z + 0*d + 5*d + 19. Determine b(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -313360 - -761464787\/2430. What is the common denominator of q and 157\/60?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3) + -3 - (-19 - -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 147*a + 80*a + 72*a)*(-2*a + 2*a + 2*a)*(2*a + 1 - 1) - 3*a**3 + a**3 + 0*a**3 + (-2*a**3 + 3*a**3 - 2*a**3)*(-2 + 5 - 2).\nAnswer: 17*a**3 - 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013215629244 rounded to five decimal places?\nAnswer: 0.01322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*q = -1991, -37*q + 40*q + 1592 = 4*i. What are the prime factors of i?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673004.\nAnswer: 2, 3, 17, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/20 - (-6)\/15. Suppose b**4 - 4*b**3 + 3*b**f + 4*b**3 - 4*b**3 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87036738?\nAnswer: 2, 3, 23, 630701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 10 = -4*u, u = -2*u + 5*q - 40. Let m be (-4)\/(1*(u + 3)). Suppose 0 = 4*f - 401 + 377. Solve f*n = m*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81322, -81336, -81350, -81364, -81378, -81392?\nAnswer: -81406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8138\/(-187174) + (-11)\/805.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/12)\/(10\/(-60))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 + a**2 - a - 4*a**3 + 0*a**3 + 0*a**3 in the form n*a**2 + o + l*a + v*a**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74491 - -1518238. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.84 - 1.16. What is the second biggest value in z, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 1. Let v(a) = -7*a**2 + 0*a + 2 + 4 - 5*a. Let o(i) = -i**2 - 592*i + 10347. Let y be o(17). Calculate y*r(d) - v(d).\nAnswer: 7*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 4\/(-6))*-6. Suppose q - 745 = -j*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 332 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*l - 98 - 46, 5*l = 5*p - 230. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12c00 + -2?\nAnswer: -12c02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24377 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**3\/3 - r - 3. Let f = 52 - 49. Let t(h) = -h**2 + 3. Let i(x) = f*b(x) + t(x). Let v(w) = 20*w. Determine i(v(l)).\nAnswer: 800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6361 - -103577?\nAnswer: 86216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 68 = 2*o - 32*b - 392, 36 = -2*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 943*f + 954*f + 36)*(1 + 4 + f - 3) to q*f + g*f**2 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 69596, -2, -10, -13\/4?\nAnswer: 69596","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/22, 0, -3910, -0.1, -3, 6 in descending order.\nAnswer: 6, 3\/22, 0, -0.1, -3, -3910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 less than -1295780?\nAnswer: -1295669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfdffvpffydfpvpyfvf. What is prob of sequence fv?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 18*d**2 - 5*d + 6. Let g be n(2). Let x = g - 20. Let h(i) = -27*i + x*i - 18*i. Let r(v) = 2*v. Determine h(r(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149 + -135. Let t = u - -631. List the prime factors of t.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1004.2 not equal to -4105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j**3 - 3*j - 36. Let m be g(-5). Suppose 0 = -11*d + m + 439. What are the prime factors of d?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -972072576 divided by 87?\nAnswer: -11173248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.596 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 - -293. Suppose 0 = -11*n - 0 + w. Let i(z) = z**2 + 1. What is the remainder when n is divided by i(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 10 + 1)*(0*d + d + 0*d)*(9 + 1 + 18)*(-2*d**2 - d**2 + 5*d**2).\nAnswer: -672*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u, 2*u = 4*c - 3*u + 18. Let j = c + 2. Let k be 15 + j - (9 - 11). Are 17 and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2 (b) -28 (c) -5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -197507*g*l**2 - 3*g*l - 903037*g - 2*l**2 wrt l.\nAnswer: -395014*g*l - 3*g - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and -0.0127.\nAnswer: -9.0127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19773873845*t**2\/2 + 3105360060*t - 243838440 = 0. Calculate t.\nAnswer: 9876\/62887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 y, and 1 m when four letters picked without replacement from mqqqqymmmmqqqm.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 512 - 420. Calculate the smallest common multiple of 8 and w.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - (-2 - 1) - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20100200212 + 111?\nAnswer: -20100200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 26 = -4*f, 0 = 8*f - 54*b + 51*b + 47 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:10 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-168)*(-294)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.117666238 and -0.2?\nAnswer: 0.0235332476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iitv when four letters picked without replacement from {i: 2, v: 2, t: 8}?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74346.565 - 74502. Let z = i + -0.265. Round z to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4439265 + -4\nAnswer: -4439269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 3*b - 41, -9 = -5*c + 3*b - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1999687*w**3 - 97*w**2 - 11558*w wrt w.\nAnswer: -11998122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**3 - 110557*u**2 + 3*u + 15365381 wrt u?\nAnswer: 6*u**2 - 221114*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2726808 is divided by 68169?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 6:53 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60842*s - 60841*s - k - 1, 4*s - 2*k = -6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 - 5*z**4 - 2*z**4)*((-30*z + 54 - 54)*(5 - 2 - 2) + 14 + 31*z - 14).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 364, 0, -7, 9 in increasing order.\nAnswer: -7, -3\/2, 0, 9, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**4\/6 - 94*q**3\/3 + 392*q**2 + q + 910. Factor h(c).\nAnswer: -2*(c - 4)*(c + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 2. Let g be k(5). Let j = g - -9. Calculate the lowest common multiple of j and (6\/2)\/((-18)\/(-12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3\/5 + 807*z**2\/5 - 10773*z - 10935 = 0. What is z?\nAnswer: -1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*(-20)\/(-75)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -18, -34, -68, -126, -214, -338, -504?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6508.014439 - -6508. What is k rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*t - 1094 + 336 + 498 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 3*g**3 - 6*g**2 + 12*g + 7. Let n(t) = t**2 + 4*t - 13. Let b be n(-6). Let r(q) = q**2 - q + 1. Calculate b*c(f) + 12*r(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 31261*h - 516. Let y(v) = 607*v - 10. Let b(p) = 5*g(p) - 258*y(p). Let s(r) = r**2 + 6*r**2 - 6*r**2. Determine b(s(i)).\nAnswer: -301*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42332*b*f**5 - 2*b*f**3 - 8*b*f**2 + b*f + b + 30 wrt f?\nAnswer: 2539920*b*f**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 82 - 16. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 8:25 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 l when four letters picked without replacement from cqccccllllqclcccolc?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1685 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 3. Let y(l) = -l - 4. Let u(a) = -4*j(a) + 3*y(a). Let d(h) = 29*h**2. What is u(d(m))?\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455 - 21*p - 508 - 503 + 1979 - 513.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*a**3*g + 2*a**2*g**2 + 20*a*g + g**2 - 96*g - 1 wrt a.\nAnswer: 63*a**2*g + 4*a*g**2 + 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (25 + 9 - -2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/4)\/((-1)\/5). Suppose -h = k + 10. Let x = h - -18. Solve -x*d - 3*m + 0 = 3, -5*m - 13 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 552822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000076781 rounded to seven dps?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -848*u + 570*u - 304*u + 21534 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1478, -1477, -1476?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + h + 28, -11 = -t - 4*h + 3. Solve -l = -2*o + t, o + 7 = 4*o + 2*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a meter in millimeters?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 + 468\/45 + (-572)\/5. Which is bigger: y or -115?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -2231120100021?\nAnswer: -2231120100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-20))\/3*10\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 63*n**5 - 53*n**2\/2 + 16*n - 1010. What is the second derivative of c(i) wrt i?\nAnswer: 3780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjhzzzzhhvz. What is prob of sequence hchv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2562*x**3 - 10*x - 3959. Let v(w) = 2*w - 3. Let d(m) = -a(m) - 5*v(m). Differentiate d(z) wrt z.\nAnswer: -7686*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-5450)*18\/54*-10.\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Suppose y*h = -h. Sort 4, h, -1.\nAnswer: -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767 divided by 3?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1971 and 218124.\nAnswer: 654372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/15)\/((-2)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1157 = 2*a - 381. Let d = a - -639. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q - 15. What is d(12)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2514)\/(-66) + 3\/(-33). Calculate the highest common divisor of 57 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392340 + 392340 - 26*v.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + 2*m)*((57 - 55 + 37)*(4*m + m - 4*m) + (0*m + m + m)*(2 - 2 - 1)).\nAnswer: 111*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 657?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/10)\/((o*o*o*o\/((o*o**10)\/o))\/o)*(o**(-22))**(-2\/113) assuming o is positive.\nAnswer: o**(8237\/1130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-8 + 4 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**4\/2 - 445*l**3 + 64705*l**2\/2 - 447705*l - 1646100 = 0.\nAnswer: -236, -3, 30, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1215 (base 8) to base 13\nAnswer: 3b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 6585160*u + 39511140.\nAnswer: -5*(u - 6)*(u + 1317038)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 + (-3 - -3) + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*g = -281*g + 5420 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(8\/3)\/v))**(1\/11)\/(v\/v**(2\/5)*v\/v**(-2\/27)))**(28\/3) assuming v is positive.\nAnswer: v**(-72128\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.981848 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.021 + -0.021. Let c = -3084 - -3083. What is the second smallest value in -0.3, c, o, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 36.33.\nAnswer: 35.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175632616 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -2*x**3\/3 + 2. Suppose 0 = 2*q - 2*r, 0*r = -4*q - 4*r. Let u(l) = q*l**2 - 4*l**2 + 6*l**2. Determine u(g(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/20 + 201\/15. Suppose 0 = u*s - 15*s + 3. Let q = 1 - -6. Solve -s*z = -q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9*o - 7*o + 13*o - 14*o. Let c(z) = -2*z**2 - 3*z + 3. Let m(t) = -t**2 - 2*t + 2. Let u(n) = 4*c(n) - 6*m(n). Calculate f(u(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/91*(-7)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 15 = 2*t, 5*t + 36 = 48*u - 55*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.4, 4, 1\/2 in decreasing order.\nAnswer: 4, 1\/2, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Let d = -47 - -121. Suppose -b*c + d = -175. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173422908?\nAnswer: 2, 3, 89, 113, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-205)\/2*(-2)\/30 and 9\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -19. Which is the biggest value? (a) u (b) -5 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448517*s**2 + 450803*s**2 + 448517*s**2 - 1347837*s**2 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 12. Are f and 6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j - 2*j + 3*j - 1. Let i = 31 - 27. Is x(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unngnwung. What is prob of sequence ugn?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.324 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9525 + 4189. Let q = r + -9323. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 69?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-18)*3 - ((-8)\/24)\/(-1). Let v = 0.1 - -0.2. Let p = -35\/87 + 2\/29. Which is the nearest to p? (a) g (b) 7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*m**2 - 9 - 12*m**2 - 69*m**2 - 2*m + (m + m - m)*(-4*m + 0*m + m) + 2*m**2 + m**2 - m**2.\nAnswer: 3*m**2 - 2*m - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243502073 to the power of 1\/2, to the nearest integer?\nAnswer: 35263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -795*d - 12557. What is r(-16)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37391145?\nAnswer: 3, 5, 11, 19, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1143)\/(-1524))\/((-2)\/((-4816)\/(-210)))?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 59. Let q = k + -16. What is the remainder when 70 is divided by ((-3)\/6)\/(q\/(-36))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62\/8*3*368\/138. Let z = -63 + t. Sort -2, -11, z, -5 in descending order.\nAnswer: z, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2223 and 285?\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/6*3\/(-27). Let u be (-3)\/60 + (-3)\/(-10). Let j be 1 - ((-2)\/(-4) + 0). Which is the closest to j? (a) d (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -842 + 8339\/10. Find the common denominator of 55\/28 and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -361?\nAnswer: -4\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 19*n**2 + 382*n + 692. Give j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12990\/1457 + -87\/47. Which is smaller: 7 or o?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 - (-4 - -13) - (35 + 15 + -4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 7683 and 7683 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3313 (base 4) to base 8.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 8) to base 10\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6143*u = -9321*u + 101696 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-21))\/(-5)*-2)\/((-3)\/(-14)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*-4*3\/(-4) + -306. Let d be (-145)\/30 + 5 + t\/18. Is d less than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**3\/3 + 3*z**2 + z. Suppose 0 = -4*g - 5*l - 5, -16 = -5*g - l + 4. Is n(g) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134379200 rounded to the nearest one hundred thousand?\nAnswer: 134400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21137.4 - 352218.986\nAnswer: -331081.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 14*r**2 - 33*r - 11. Let p be d(-16). Suppose -4*u + 4*t = -t, -5*t - 5 = -p*u. Solve -f - 4*a = -u, -f - 2*f = -a + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7070 (base 13) to base 10.\nAnswer: 15470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 2325918?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*w + 3*w. Let u = -24 - -23.48. Let l = u - -0.02. Which is the closest to 0.1? (a) 3\/4 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/16 + (-41)\/(-12) and -105\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -0.95. Let j = t - 0.14967. Round j to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 906 or 610050\/673?\nAnswer: 610050\/673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 10*w**2 + 9*w + 15. Does 5 divide m(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 79.50125 decades?\nAnswer: 7.950125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -40*o + 44*o - 20, 3*o = -4*q + 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67996, -68364, -68732?\nAnswer: -69100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9716223 centuries in millennia?\nAnswer: 0.09716223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9856 and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 + 325\/45. Which is the nearest to i? (a) 2\/19 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 22664.71m?\nAnswer: 22664710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 3) + 284 + -1. Let q = j - 112. Let l = q - 89. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-170)\/(-35) + 2\/14. Suppose 14 + 1 = m*f. Sort -4, f, -1 in decreasing order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2207, -2276, -2383, -2522, -2687?\nAnswer: -2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k + 104. Let r be u(11). Solve 0 = r*d - 4*v + 18, -d - 2*d - v = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3 - 90. Let f = -124 + 105. Let i = m + f. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*c + 1221, 4*j - 2*c - 861 = 769. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(7) + 5 + ((sqrt(7) - (sqrt(7) + sqrt(7)*-1))*4 - sqrt(7)).\nAnswer: 5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*j + 204 = -3*b + 89 + 81, -3*j - 92 = 7*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*i*s**2 + 16*i*s*t + 65*i - 10*s**2*t + 49*s wrt i.\nAnswer: -9*s**2 + 16*s*t + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3*o)*(-61 + 153 + 109) as x*o + u and give x.\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -17. Let t = 3 - m. Let f(z) = -2*z**2 - z. Let c be f(-1). What is the smallest value in -0.4, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 694 - 688. Suppose 0 = i + 2, 2 = z - i - p. Solve 19 = z*g - 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(((-12)\/5)\/((-5460)\/(-168350)))\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34675.972 rounded to the nearest 100?\nAnswer: -34700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by -2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 6 = 0. Suppose 45*j = 93*j - 48. Which is the second biggest value? (a) j (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**5 - 118763*i**4 - 712609*i**3 - 593857*i**2 + 1425228*i = 0.\nAnswer: -4, -3, 0, 1, 118769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3))**(-10)\/(x**5\/x)**(-43) assuming x is positive.\nAnswer: x**202","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2471?\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 4:08 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(143))\/sqrt(11).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1121*w = -1127*w - 848760. Round w to the nearest one thousand.\nAnswer: -141000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5555.1 to the nearest one hundred.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -752 = -4*t + 4*o, o + 376 = t + t. Let g = -124 + t. Suppose -g*n + 63*n + 54 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 55. Is -1\/72 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 15*a - 13*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2)*21\/42?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4281217 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43665.5l in millilitres?\nAnswer: 43665500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8507\/3258*(-24)\/21 - (0 - 4\/(-9))?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 269981035*p**2*w**3 + 2*p**2*w**2 - 2*p**2 - 19846*p*w - p + 22*w**2 + 11 wrt w.\nAnswer: 1619886210*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40940*n**2 - 2*n - 516*n**3 + 40947*n**2 - 14*n wrt n.\nAnswer: -3096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111.182 + -0.418. Let y = -111 - w. Which is the biggest value? (a) y (b) 5 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*h - 67 - 35 = -s - 16*h, 0 = -4*s + 2*h + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4\/7 - 34*f**3\/7 + 96*f**2\/7 - 94*f\/7 + 31\/7 = 0.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a factor of 179003896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -192*s + 194*s - 8540000. Suppose -49*g - s = -44*g. What is g rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -797, -2262, -3727?\n\"Answer: -1465*h + 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q - 16. Calculate v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236 = 6*v - 248 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1.8. Let z(i) = -i**2 + 4*i + 7. Suppose -4*s - 4*b + 20 = 0, -2*s + 6 + 4 = -b. Let l be z(s). Which is bigger: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 9*d**2 - 2*d - 21. Give n(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -902, -903, -904, -905?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 2. Suppose -6*n + 2*n - 10 = 3*v, -4*v + 2*n = -16. Let b(j) = -1 + 2*j - j**2 - v*j. Give 2*b(o) + s(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69777600*f + 69777670*f + 420 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*q = 1238*q + 71208 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x + 2. Let o(d) = 13*d - 3. Let y(k) = -2*o(k) - 5*t(k). Let u = 6317 - 6321. Determine y(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6 - -174)*156.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*p + 12*p + 29*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.149 - -3.149. Let h = 0.16 + -0.06. What is the biggest value in c, 2\/7, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/975 and -23\/99435?\nAnswer: 6463275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(76)*-1)\/sqrt(4) + sqrt(19) + sqrt(19)*3 + -1 + sqrt(19) - ((-4*2*sqrt(228))\/(-3*sqrt(36)\/sqrt(3)) + -4).\nAnswer: 4 + 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.95016 - 0.74235.\nAnswer: 21.20781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7649.71 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12658 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110100011010010011001 (base 2) in base 5?\nAnswer: -3003133310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**2 + 9*p + 1343. Let g(m) = -20*m**2 + 26*m + 4026. Let i(s) = -2*g(s) + 7*z(s). What is the first derivative of i(q) wrt q?\nAnswer: -18*q + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233*p - 233*p + 43*p**2)*(-4*p + 3*p - 4*p) + p**3 + 0 + 0.\nAnswer: -214*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -10770057?\nAnswer: -10770060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 3*f - 4. Let w be i(-4). Suppose -11 = -4*h + 21. Let m be (-1458)\/(-72) + (-2)\/h. Solve 4*r = -w*r - m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3780632 (base 10) in base 5?\nAnswer: 1431440012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2 - (-32)\/12). Let b be (-2)\/3 + 136\/6. Let z = b + f. What is the lowest common multiple of z and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*(8\/(-32))\/((-6)\/(-16)). Let x = -63 + 93. What is the highest common divisor of n and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1495955 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 1275 = 18*c. Suppose -3*h + c = 15. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 13*y - 15. Let k be m(-15). Let v = k + -11. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -223\/3 (c) 1 (d) -0.1 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 185939 + 186303 = 0 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 5 - 5*r + 5. Let m(b) = 14*b. What is m(t(x))?\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404 by 10.\nAnswer: 202\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 10*c = 8*c, 5*c = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.76 - 11.76. Sort x, -16, -9\/5 in increasing order.\nAnswer: -16, -9\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**4\/6 - p**3\/2 + 3*p**2\/2 - p. Let d be (30\/(-90))\/(4\/(-24)). Give b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 91*i - 880. Calculate j(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 138 and 325168887?\nAnswer: 325168749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (6 - 1)) + 1 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -l - z + 46, -4*l + 2*z = -504. Let g = l + 20. Suppose -3*s = -2*s - g. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-8\/5)\/y)\/y**(3\/13))\/(y\/(y\/y**(2\/17))*y*y\/((y\/(y*(y\/(y*(y*y**(1\/14))\/y))\/y*y*y))\/y)))**(8\/11) assuming y is positive.\nAnswer: y**(-425548\/85085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**2 - 67*v - 58.\nAnswer: -(v + 1)*(9*v + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 71.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10830461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9) + 0)\/(22 + -3). Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 234*a**3 - 2 + 2*a + 592*a**3 + 2 + 0*a - a**2 as x + k*a**3 + j*a**2 + m*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4999*n + 5034*n = -700 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12 + 2)\/(0 - 2). Solve x + 7 = h*b - 0*b, -5*b = -3*x - 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1610.905245 to the nearest 10.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217886452?\nAnswer: 2, 7, 19, 23, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**3\/3 - n**2 - n. List the prime factors of k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11752 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*a + 30 = 5*v, 2*v = 4*a - 12. What is the second derivative of -32*n - 8*n**5 - v*n**5 + 52*n wrt n?\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 45. Suppose -93*s + 80*s + 303 = 4. Calculate g(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, w: 4, o: 5}. Give prob of picking 3 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/20 + a**4\/2 + 3*a**3\/2 + 2*a. Factor o(m).\nAnswer: m*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292741956*b**3*n - b**2*n - 553*b**2 + 69*b*n + 3*b + n - 2 wrt b?\nAnswer: -1756451736*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = -12*b + 23062. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -38*c**2 - c + 13. Let x(a) = -19*a**2 - a + 7. Let o(d) = -4*b(d) + 7*x(d). Is o(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.142 - -4091.67206.\nAnswer: 4091.53006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h - 2. Let k be j(-2). Let q(r) = -70*r - 372. Let b be q(-6). Calculate the highest common divisor of k and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 25 = -d, -3*d - m + 5*m = -119. Is (18\/d)\/(1\/140) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2230211022 + -3?\nAnswer: 2230211015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -38583 minus 40?\nAnswer: -38623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3\/7 + 5454*v**2\/7 + 1137405*v\/7 + 1131948\/7 = 0. Calculate v.\nAnswer: -188, -1, 2007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 276.406.\nAnswer: 273.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -31414, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320101552 (base 7) to base 12.\nAnswer: 6423721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8099 + 10538. Is y a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvgk when four letters picked without replacement from yvzkzkttg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1519\/18 - -84. Let u = -1\/9 + z. Let s = 1.2 + -5.2. Which is the nearest to -1\/2? (a) -5 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**3 - 2*b - 2. Let g be o(-1). Let m(f) = -2*f**3 - 7*f**2 - 4*f + 1. Let a be m(g). Solve -6 = 2*x + 3*w, 3*x - 4*w = a*x + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*g + 33. What is the remainder when 3 is divided by g\/4*2*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36286025 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -166, 0, -4, -1\/7, -4\/13, 0.5 in ascending order.\nAnswer: -166, -4, -4\/13, -1\/7, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, o: 2, c: 7, r: 4, k: 6}. Give prob of sequence rojc.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 13 + 3 = 0. Let u(t) = -t**2 - 11*t - 10. Let r be u(m). Solve -v + 2*c + 3 = r, -3*v + 5*c + 2 + 4 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3054 (base 7) to base 4.\nAnswer: -100230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8599717272 take away -119973?\nAnswer: 8599837245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134.814 + -135. Let a = r + 0.436. What is the nearest to 0 in a, 0.4, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*11*(-28)\/(-22)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11231 - -10?\nAnswer: -11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -0.01 (b) 1\/5 (c) -1 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + u + 2. Let f(o) = 4*o**2 + 3*o + 4. Calculate 2*f(p) - 5*l(p).\nAnswer: -2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + -4 + (sqrt(2) - -4*(sqrt(2) + sqrt(4)\/sqrt(2))))*5.\nAnswer: -20 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -159\/770 and 51\/237314.\nAnswer: 1186570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/60 + 11\/66.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9320 - -7488. Calculate the greatest common factor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17546021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-25 - 4347\/(-105)))\/(3\/40)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -97?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4 - 1 + 9*i + 2. Let u(b) = 4*b + 3. Let m(s) = 6*d(s) - 13*u(s). Calculate the remainder when m(7) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 221\/4. Let m = -0.6 + -1.4. Let s = -41 - -43. Which is the closest to m? (a) q (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + n + 27. Let p be h(0). Let j = 48 - p. Suppose z - 14 - j = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -299551, -15 in increasing order.\nAnswer: -299551, -17, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-3)*1\/5. Let t = -132.9 - -133. Which is the third biggest value? (a) h (b) 2\/11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15*r. Let y(p) be the first derivative of -23*p**2\/2 + 499. Give 8*g(w) - 5*y(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1448 = 1166. Suppose 993 + s = 10*b. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l**2 - 121*l + 111. Calculate r(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (135\/10 + -15)*4\/(-6) + 27. Solve -f*x - 6*x = 238 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 25*v + 68. Solve -z + 0*z + 3*k + 4 = 0, 4 = -v*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 201*n**3 + 89*n**3 + 104*n**3 in the form h*n**2 + w + i*n**3 + t*n and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858 is divided by ((-530)\/25)\/((-77)\/330 + 1\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 8 = -7*o. Let x be (7 + -8)\/(2\/o). Let p(f) be the first derivative of -f**4\/4 - f**3\/3 + 2*f + 19. Give p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -0.4, 3, -8\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99 in 2\/7, 11\/5, 0, -4?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405993 is divided by 79?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*y = -588*y - 30 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -ad (base 15) in base 9?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:39 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3775 = -5*o + n, 2*n + 1526 = 2*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4458?\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23)\/((0 + 1)*(-4 + 5)). Let q = v - -28. Suppose -q*f = -35 + 5. What is the least common multiple of 2 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20873 + -13165. Is k a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -15.9 (c) -2 (d) 9\/157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-2 + 5\/(-1)). Let o be ((-4)\/m)\/(5\/450*-3). Suppose -4*s + s + 6 = 0. Solve 3 = -x + h, -h + s*h = 4*x + o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200054960?\nAnswer: 2, 5, 7, 357241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 10. Let h be w(-13). Let a(o) = -3*o**3 + o**2 - 4*o - 3. Let c be a(h). What is the greatest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + u = -1, 187*v + 5*u = 192*v - 5. Solve -6*t + 40 - 22 = v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 22, 51, 80, 109, 138?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 21*n**2. Let k(x) = -16*x**2 + 3*x. Give k(g(b)).\nAnswer: -7056*b**4 + 63*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232 - 17*z**2 - 1055 + 105*z**2 + 394*z**2 wrt z.\nAnswer: 964*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2351 - 2351 + 456*l**4)*(1 - 2*l - 1).\nAnswer: -912*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 4, d: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 8. Let z be w(-4). Let a(q) = -q + 7. Let o be a(5). Solve -o = -2*j - z*t + 8, -j - t = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4648 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 4b25b6?\nAnswer: -4b25b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -93.\nAnswer: -8\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*n**3 + 80*n**2 - 616*n - 5255090 wrt n.\nAnswer: 27*n**2 + 160*n - 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/112*(-124)\/(-2)*76\/(-266).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675040 (base 8) in base 10?\nAnswer: 227872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127 is divided by 1111?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b - 4*x - 548, -b - 2*x + 286 = 0. Calculate the highest common factor of b and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose k = 2*i + 4. Let t be 6\/27 - (-5)\/(90\/(-22)). Is i <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-8) + (-1)\/(-4). Suppose 0 = 9*l + a*l - 5187. Suppose -1908 = -3*p + l. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14244*p + 14241*p + 36 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 8.2?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 4*k + 2*k)*(k**3 - 2*k**3 + 4*k**3)*(1 - 1 - 1) as a*k**3 + s*k + j + q*k**4 + u*k**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**9\/189 + r**5\/15 + 5*r**3\/3 + 21*r**2. Let q(g) be the first derivative of k(g). Find the second derivative of q(m) wrt m.\nAnswer: 320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 5*x**2 - 3*x - 3. Let p be w(4). Let f = 46 - p. Suppose -3*g = -4*g + f. What is g rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/5 - 12*d**4\/5 - 78*d**3\/5 - 132*d**2\/5 - 93*d\/5 - 24\/5 = 0. What is d?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44186 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = l. Let y be l + 5*(-1)\/(-5). What is the nearest to 1 in y, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*k - 13*z + 30, -2*k + 3*z - 3 = 0. Solve -5*o + 8*o - 18 = -k*c, -c + 6 = 2*o for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219*f**6 + 2*f**4 - f**3 - f**2 + 175*f + 5?\nAnswer: -26280*f**3 + 48*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -25*g + 3. Calculate the remainder when p(-1) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3774)\/(-444)*(-72)\/(-51). What is the greatest common factor of c and 1084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.4 and -28.2794894?\nAnswer: 24.8794894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**4\/4 - 5*n**3\/3 - 13*n**2\/2 + 12*n + 894. What is g(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, -2, -0.4, -9, -4\/105 in descending order.\nAnswer: 14, -4\/105, -0.4, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.1. Let p = 127.9 + -128. Let t = 1.8 + 0.2. Which is the nearest to h? (a) 1\/5 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -5, 43149 in decreasing order.\nAnswer: 43149, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5\/59 (c) -0.53 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 2242?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1015579, 2031250, 3046921, 4062592?\n\"Answer: 1015671*r - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 22. Let b(v) = v**3 - v**2 - v - 2. Let l be b(0). Let u be 11*l\/(0 + 2). Is u less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2225, -4450, -6679, -8912?\n\"Answer: -2*n**2 - 2219*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*a*f*v - 35*a*f - a*v + 9*a + 2*f*v + 5896*f + 30*v wrt a?\nAnswer: 10*f*v - 35*f - v + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 2*o + 13. Let l(d) be the first derivative of -3*d**4\/4 + 3*d**2\/2 - 26*d - 373. What is 5*k(t) + 3*l(t)?\nAnswer: t**3 - t - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.27 + 0.37. Let l = 163 + -134. Which is the second biggest value? (a) -0.3 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -499, -557, -661, -817, -1031, -1309, -1657?\nAnswer: -2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 759?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m**2 - 11*m + 11. Let q(t) = -3*t**2 - 2*t + 2. Let d(a) = -11*q(a) + 2*y(a). Let x(c) = 14*c. Calculate d(x(z)).\nAnswer: 588*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -11*g - 40. Let b be (((-14)\/4 - g) + -1)*-53850. Suppose -5*i - b - 6575 = 0. What is i rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p - 83. What is l(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6 (b) 10 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*n**3 - 9879*j*n*z + 2*n**3*z + 3*n**2*z - 1846*z with respect to j.\nAnswer: 3*j**2*n**3 - 9879*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 130, 257, 386, 517, 650, 785, 922?\n\"Answer: b**2 + 124*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1183611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a5d (base 14) in base 6?\nAnswer: -34055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -12*y**2 - y - 1. Let m be l(-1). Let p = 15 + m. Solve -p = -x - 2*a + 3*a, 0 = 2*x - a - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:56 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33 and -1193739?\nAnswer: 1193706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1889 + 1?\nAnswer: 188a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/319362 and -89\/1277448?\nAnswer: 1277448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.120354m to centimeters.\nAnswer: 612.0354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 50878128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -2. Let k = 0.1115 - -4.8835. Let p = 0.005 + k. Which is the smallest value? (a) p (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 182 - 6*f - 182. Let j(z) = -3*z. Give j(q(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 1. Let d be l(2). Suppose 0*y = 4*n + 2*y + 6, -5*n - d*y = 10. Let q(x) = -8 + 12 + 5*x - 2*x - 8*x**2 - 5 - x. Determine q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -33. Let i(a) be the first derivative of 54*a**2 + 24*a - 42*a**3 - 11 - 735\/4*a**g. What is w in i(w) = 0?\nAnswer: -2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60500 = 47*i + 675*i + 90102 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14736 - 3683.\nAnswer: 11053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2. Let i(p) = -252959997*p. What is i(s(o))?\nAnswer: 505919994*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 9*n + 2. Let t = 12 - 21. Let w be u(t). Solve 0 = -0*r - w*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 251727 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:53 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 5436524?\nAnswer: 5436534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -65952000 rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2)\/i*i))**(-12)\/((i\/(i\/i**(-7)))\/i**(-1\/7)) assuming i is positive.\nAnswer: i**(-204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/72*-27*(-1)\/(-39)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 6. Is 0 - (-2 + (-4305)\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/71, -1\/3, 1\/4, 178?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418846089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*7\/((-7)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/120 - j**5\/5 + 5*j**4\/12 - 3*j**3\/2 + j**2. What is the remainder when i(-13) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4369685*s**3 - s**2 + 42*s - 20553 wrt s.\nAnswer: 26218110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-144))\/((-3)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q - 42 = -16*q - 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19388 is divided by 245.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3950\/70 + 12\/(-28). Which is smaller: 58 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14593, -14672, -14805, -14992, -15233, -15528, -15877?\n\"Answer: -27*f**2 + 2*f - 14568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 11*d**5\/5 + 947*d**4 - 26489*d**3\/5 + 46577*d**2\/5 - 32682*d\/5 + 7848\/5 = 0.\nAnswer: -436, 6\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/23748 and 39\/40?\nAnswer: 237480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75 - 10?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.896053 minutes to hours.\nAnswer: 0.39826755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1230)\/(-9) + (84\/(-18))\/7. Let l = z + -46. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2780050 - 2780045.599987. Let d = -4.4 + j. What is d rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3813225337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132*y + 914 + 406 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/30 - a**4\/24 - 5*a**3\/6 + 2*a**2 + 25. Calculate the remainder when p(-12) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -897, -1704, -2511, -3318, -4125?\nAnswer: -4932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s + 38. Let d(f) = -5*f**2 + 50*f - 6. Let g be d(10). Calculate r(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -46, -1\/11, -6\/5, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.052? (a) 85 (b) 57 (c) 248\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 z, and 1 b when four letters picked without replacement from {w: 1, e: 1, v: 1, z: 6, q: 1, b: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8089643ml in litres?\nAnswer: 0.0008089643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*r = 35, -2*r + 12 = 4*s - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*h = -159, -757 = -23*q + 46*h - 47*h for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 3*z + 14 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -101100001100101?\nAnswer: 101100001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 853.3 - 851. Put -0.9, -1\/2, u in ascending order.\nAnswer: -0.9, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863*l - 48 = -855*l. Let w(s) = -5*s - 31. Determine w(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035675 rounded to six decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5 - 4652*n**4\/7 - 1286*n**3\/7 + 13984*n**2\/7 + 13288*n\/7 + 2656\/7 = 0.\nAnswer: -332, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211\/168 + 1\/168. Which is the fifth smallest value? (a) -1 (b) -2\/27 (c) 2 (d) 1 (e) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 457\/64 - 105\/64. Let c = 28287\/24956 + -22\/367. What is the common denominator of i and c?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12059420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 34234 (base 9) to base 14\nAnswer: 8440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (5 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**5\/21 + 10*y**4\/21 + 2*y**3\/21 - 2*y**2 - 12*y\/7 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = -4*d, v = d - 1 - 7. Let m = v + 4. Let x(k) = k + 3. Let j be x(-5). Which is the biggest value? (a) j (b) 1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 v when four letters picked without replacement from vkkvkvvkkvkv?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 - 4*r - 3. Let s be (1 + -11)*((-1)\/(-2) + -2). Let m(o) = -1 - 2 - 4*o**2 + s*o - 55*o + 20*o + 15*o. What is -5*c(q) + 4*m(q)?\nAnswer: -q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 3, i: 5}. Give prob of picking 3 i.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3 + 61*p**2 + 2*p - 2.\nAnswer: 6*p + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + -1. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 8*y + 3. What are the prime factors of v(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-564))\/((-546)\/1456)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.03 + -6. Suppose -4*i - 8 = 0, 5*z - 3*i + 0*i - 81 = 0. Let n = -19 + z. Which is the biggest value? (a) r (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23093?\nAnswer: 7, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*u - 44 = -0*j, 5*u = 5*j - 115. Let w = j + -21. What is the remainder when 17 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 21*v**2 + 17*v - 13. Let p(k) = 14*k**2 - k + 1. Let w(a) = -66*a**2 - 4*a + 2. Let t(x) = 4*p(x) + w(x). What is -6*d(g) - 13*t(g)?\nAnswer: 4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times -0.8847?\nAnswer: -33.6186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)\/s*s*s**(-7)*s)**(2\/17)\/(s**(2\/15)\/(s**(-1)\/s))**(3\/5) assuming s is positive.\nAnswer: s**(-1294\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 844*v**2 + 4*v - 8. What is the tens digit of w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**7*(v**(-4)\/v)\/v*(v**1)**(-2\/25))\/(((v**2\/v)\/v*v\/v**(-4)*v)\/((v**3\/v)\/(v\/v**6))) assuming v is positive.\nAnswer: v**(-277\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:44 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*m**3*o**2 - 7*m**3 + 2*m**2*o**2 + 2*m**2*o - 27*o wrt m.\nAnswer: -168*o**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 283925175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 27*t**2. Let z(p) = 3*p - 18. Let l(g) = g - 5. Let n(b) = -18*l(b) + 5*z(b). Determine n(f(x)).\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 21. Let n(x) be the first derivative of -x**4\/4 - x**3\/3 + 3*x**2\/2 - 4*x - 2. Let k be n(-3). Solve -3*p - 29 = k*h, -4 = 2*p + u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6075 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = 20*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64293 is divided by 241.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 31. Suppose -4*p + 4*o = -n, 2*o - 18 = -2*p - 2*o. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, k: 1, i: 3}. Give prob of sequence jjj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 0.8515.\nAnswer: -5.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqqe. What is prob of sequence eq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (35 - 32 - (0 + 22)) - -3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.1265043 and 78036.7?\nAnswer: 78037.8265043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 3*f + 4. Let i be w(4). Suppose -6*l + 3*l + 3 = i, -7 = -3*t + 5*l. What is the tens digit of 54\/t*(-2 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 25*r**2 + 74*r - 1218. Let y be g(-29). Let j = 0.1 - 0.1. Let v = -5 + j. Put v, 5, y in descending order.\nAnswer: 5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t + 310 = 30*t. What is the nearest to 1 in 0.4, 1, t, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (6 + 55\/(-10))*10 and 132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 452*t + 2299 - 421*t - 24*t to p + k*t and give p.\nAnswer: 2299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 9*m**3 + 26*m**2 - 180*m + 200.\nAnswer: -(m - 10)*(m - 2)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 9. Suppose 5*c + 42 = -73. Is 20 a factor of ((-3)\/f - c) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-8842613.\nAnswer: 5305567.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2638 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60*z**3 + 2*z**2 + 76?\nAnswer: 180*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5127331296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hth when three letters picked without replacement from {t: 11, h: 9}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 3*y**2 - 19*y - 168.\nAnswer: (y - 8)*(y + 6)*(y + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1909 to 3 dps.\nAnswer: -0.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r + 11. Let v(t) = -t - 1. Let h(i) = u(i) + 4*v(i). Let f(d) = -d. Let c(m) = -5*f(m) - h(m). Calculate c(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 10 = 26. Solve -p*a + 0*a = -12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 7*z**2 + 96*z - 12. Calculate k(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -52.026. Let p = -1.026 - n. Let f = 144 - 581\/4. What is the smallest value in p, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppepqqqpppqp. What is prob of picking 2 q and 1 e?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 3*m + 7, -23*n + 19*n - 5*m - 11 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnh when four letters picked without replacement from {d: 4, x: 4, h: 3, n: 5}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4153729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 + 0*n**3 + 15*n + 0*n**3.\nAnswer: 5*n**3 + 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from ljfjaazfklzl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**3 - 511444656*m**2 - 6539390801485026*m + 2615756402425156.\nAnswer: -2*(m + 25572233)**2*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1170924055147\/6822 + 3\/(-2). Let x = -171639401 + k. Let s = x - -14\/379. Find the common denominator of s and -5\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**2 - 7*w - 508. Suppose 0 = 2*a - 3*a + 5. Give f(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 10832701*p.\nAnswer: p*(p - 10832701)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 3*v**2 + v**2 + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53504)\/3648)\/(198\/(-675))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 45 + r + 3*r)*(24 + 10 - 1).\nAnswer: 132*r - 297","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(-1*sqrt(36)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 435\/11310 - (-14558)\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1158274*l**5 + 39*l**3 - 467158764*l wrt l?\nAnswer: -23165480*l**3 + 234*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 7*b - 6*b)*(2 - 4 + 0) - 2*b - 2 + 2 to w + r*b and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -2)**2 - (-2*sqrt(15))\/sqrt(5).\nAnswer: -38*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1404854225 to the nearest 100000.\nAnswer: 1404900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3 + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.070706 to three dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(((-18)\/(-9))\/2). What is the nearest to z in 2, 1.3, 1\/3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 8. Let y be g(-10). Solve y*n = -3*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4315 (base 7) in base 14?\nAnswer: 7b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from ddddddddddtdded.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 14. Let c = -11 - -2. Let o be y(c). What is the second biggest value in o, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17735659*i**5 + 118*i**2 + 152*i - 99?\nAnswer: -1064139540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-1)*o\/(o*o\/(o\/(o\/(o**15*o)))*o)*(o**(15\/2))**(-2\/21) assuming o is positive.\nAnswer: o**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24975, -24973, -24971, -24969?\nAnswer: -24967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/4950 and 93\/13816.\nAnswer: 3108600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 2 - 2)*(-v**3 - 2 + 2) + 4*v**3 - 6*v**3 + 19*v**4 - 18*v**4 in the form q*v**4 + w*v**2 + g*v**3 + i*v + o and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49597?\nAnswer: 49597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -2)**2 + -1 + 3*(sqrt(242)*-2)**2 + 4*sqrt(242)*2 + 3.\nAnswer: 44*sqrt(2) + 3152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15067643*o**2 - 3*o + 85126.\nAnswer: -30135286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95230599 is divided by 1268.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 46*m. Let a be x(1). Let s = a - 23. Solve v + 8*f - 3*f = s, 4*v - 17 = -5*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, -42, -57, -74, -93, -114, -137?\n\"Answer: -b**2 - 10*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60140 and 4?\nAnswer: 60140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 91 + 171 - 70.\nAnswer: 2*g + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83057003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 1, u: 1, i: 12, t: 1, f: 2}. What is prob of picking 1 d and 1 i?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31285567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 16) to base 6\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -424*j**3 - j**2 - j. Let o be r(2). Let v be (-2 + o)\/(-7 + 6). Round v to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-18)\/(-15) - (-1)\/(-5))*321 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 49*n - 151. Let p be q(-4). Let w = -272 - p. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 54*j + 168*j - 114*j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 13*c + 567666 = -3*w, -4*c - 3*w = -454122. Let j = -39532 + c. What is j rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -1\/3 (c) -11 (d) 3\/4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100\/563 - 271866\/2815. Let t = w - -96. Sort 2, t, -1\/3.\nAnswer: t, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d**3 - 3*d**2 + 3*d + 20. Let z(k) = 1 + k**3 - 52*k**2 + 17*k**2 + 36*k**2 - k. Let h(b) = -y(b) - 3*z(b). Differentiate h(x) with respect to x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 403629.5l?\nAnswer: 403629500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.85 - 32.05. Let u = f + 29. Let l = 23 + -21. What is the nearest to -0.2 in l, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 10:02 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124\/9*t - 1\/9*t**2 - 3844\/9.\nAnswer: -(t - 62)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*j + 7, -n - 18 = 4*j. Does 19 divide (-1 + (18 - n))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-9)\/(-6))*-6. Let p(s) = -2*s + 1 + 4*s**2 + 0*s**2 + 2*s**3 + 3. Let a(n) = n**2 + 1. Let x(k) = r*a(k) + p(k). Factor x(i).\nAnswer: 2*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 9 - 5) + 10 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.323 * 218.3.\nAnswer: -70.5109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 5.\nAnswer: -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 197671765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 78*b**3 + 2*b**2 - b - 1. Let x = 249 - 248. What is the remainder when y(x) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80413, 160827, 241245, 321673, 402117, 482583, 563077?\n\"Answer: u**3 - 4*u**2 + 80419*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37080837 and 1444.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 + -5687\/18. Find the common denominator of 37\/33 and h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22156627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 - -299.5.\nAnswer: 299.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -12, 5, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/9 - 60400*d\/9 - 456020000\/9 = 0.\nAnswer: -15100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6)*4 + 9. Let t = j + -10. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5014 greater than or equal to 5013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y**2 + 281. Let c be o(0). Suppose 0 = -3*u - 2*r + c, -2*r = -3*u + r + 261. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**7\/280 + t**5\/120 + t**3\/3 + 2. Let z(r) be the third derivative of v(r). What is the second derivative of z(y) wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6247, -12245, -28527, -60235, -112511, -190497, -299335, -444167?\n\"Answer: -857*d**3 + d - 5391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 5*s = 10. Suppose -2*p + 7 = s*q - 19, -3*p = 4*q - 25. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/270 and 53\/864.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -788\/257 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b*b**7*b**(-1\/5)\/b**1)**(-36) assuming b is positive.\nAnswer: b**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**2 - 1613*m + 2285 wrt m.\nAnswer: -4*m - 1613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-3 - 1 + 3)*(-98 + 183 - 93)*(48 - 3*s - 48)*(0*s - 3*s + 0*s).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -45*b**2 - 16*b + 28. Calculate y(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572399114?\nAnswer: 2, 7, 23, 41, 191, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f - 10 - 1)*(-2*f**2 + 2*f - 2*f) + 3*f**3 + 3 - f**3 - 4.\nAnswer: 6*f**3 + 22*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44\/3 + (-45)\/(-135). Solve 3*k - w = 4*d, 4*k = -4*d - 2 - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 3:41 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*x + 18, 2*x = 3*f - 0 - 7. Suppose -x*u + 11 = -1. Factor -2*m - m - 12*m**u + 5*m + 7*m**4 + 3*m**2.\nAnswer: m*(m - 1)**2*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + -1 + sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80))*6 + -6*sqrt(80)*-2)**2.\nAnswer: -2016*sqrt(5) + 141156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45515\/2640*29 - (-2 - 1). Let s = 5538\/11 - k. Find the common denominator of s and 49\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/398 and 45\/44?\nAnswer: 8756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -123*(1 - (-4)\/(-3)). Let t = -17 + k. Suppose -5 + 9*m + 4 + t*m**4 + 2*m**3 - 23*m**2 + 5*m**3 - 16*m**5 = 0. What is m?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -52, 5, 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**3 - 4*l**2 + 2*l + 1. Let a be s(2). Let c = 3802 - 3796. What is the greatest common divisor of c and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665029 + 1216211 = 120*c. What are the prime factors of c?\nAnswer: 61, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 6:29 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**8\/336 + i**7\/210 + i**6\/120 - i**5\/60 - 5*i**2. What is f in n(f) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -f + 16, 4*k + 8 = 6*k. What is the greatest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19875*w - 4063 wrt w?\nAnswer: -19875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:25 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:58 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 525823611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*s = 227*s + 24. Let h(w) = -9*w**2. Let c(y) = -260*y**2. Determine s*c(g) + 117*h(g).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6077883\/1966 - -6183\/2. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194 + -46.1\nAnswer: 147.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 - 20*u**2 + u - 518. Determine z(-11).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5424\/5 - -1073. Let m = s - -143\/10. What is the common denominator of m and -97\/122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*p**2 - 24*p**2 - 115 + 115 + 1179*p**2 - 2*p**2 + p - p + (-3*p**2 - p**2 + 7*p**2)*(-2 + 1 + 2) to g + w*p**2 + b*p and give w.\nAnswer: 1177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2485, 9447, 28315, 65041, 125577, 215875, 341887?\nAnswer: 509565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -114, -228, -354, -498, -666, -864?\n\"Answer: -a**3 - 107*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 40 (b) 1\/3 (c) 0.1 (d) -5 (e) 55 (f) 0.025\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 14. Suppose y - 195 = p*q, -5*y - 5*q + 390 = -3*y. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67288*n**3 + 67173*n**3 - 134463*n**3 - 4*n**2 + 4*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3668?\nAnswer: 1\/3668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let h(b) be the first derivative of -71*b**2 - 53. Calculate r(h(u)).\nAnswer: -142*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346309 is divided by 468?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*u - 384 = -r, 4*u = 5*r + 640. Let s = 130 + r. Put s, -28, -2 in descending order.\nAnswer: s, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34a - 6?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f + 20. Let p be v(4). Let r(g) = 99*g + 95. Let t be r(-1). Put 1, t, p in increasing order.\nAnswer: t, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4942.75621 to 1 decimal place.\nAnswer: -4942.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebooeoeeoke. What is prob of sequence eo?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1225576.61 to the nearest 10000.\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 2, -45 in increasing order.\nAnswer: -45, 0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 11:40 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**4 + 4*b**4 + 4*b**4 + (0*b**2 - 2*b**4 + 0*b**2)*(10 + 8 - 12) as c*b**2 + q*b**4 + g + w*b**3 + o*b and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19949 and 14?\nAnswer: 279286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**2 - 266*g + 1056. Let q be m(-48). Which is the fourth smallest value? (a) 0.009 (b) 0.03 (c) -0.1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 106.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - -9)\/(4\/(-354)). Let a = 250 + i. Let v = a - 48. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1153601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043803 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*o = -112 - 40, -2*v - o = -146. Put v, -4\/5, -5\/4, 5 in decreasing order.\nAnswer: v, 5, -4\/5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - -50 - (8 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 0*m = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/4)\/(y*y**(-2\/9)\/y*y)*(y\/y**7)\/y**10 assuming y is positive.\nAnswer: y**(-577\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 5, -179, -3 in increasing order.\nAnswer: -179, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*b**3 + 1390*b**2 + 23*b**3 + 5 - 1313*b**2 - 2*b to p*b**3 + s + k*b**2 + o*b and give k.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**9*n)\/(n*((n\/n**(3\/5)*n*n)\/n)\/n)*n**5*n*n*((n\/(n\/(n*n*(n*n**(-10))\/n)))\/n*n)\/n assuming n is positive.\nAnswer: n**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(2 - 75\/9). Suppose 0 = p + k - c, -5*p + 272 = 3*k + 84. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35029139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d\/d**2)\/d*d\/(d\/d**(1\/3)))**(-16\/11) assuming d is positive.\nAnswer: d**(-16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-76)\/1425)\/(-4 - (-7 - -7)).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 17*d - 14*d. Let x(z) = 6*z**2 + 5*z - 5. Let y(p) = 18*p - 18 + 0*p**2 + 5*p**2 + 16*p**2. Let g(a) = d*x(a) - 5*y(a). What is g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa2611 (base 11) to base 14.\nAnswer: 67d1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:52 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -11, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 4*x + 5. Let a(k) = k**2 - 3*k - 2. Let q(o) = 2*o**2 - 6*o - 3. Let h(j) = 5*a(j) - 2*q(j). Determine 4*h(u) + 3*y(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1686000 and -145\/173658.\nAnswer: 173658000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 158?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6 and 0.44?\nAnswer: 1.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 19*g**2 + 85*g - 686. Determine c(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343 - 14?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 2*n**2 + 4*n - 2. Let g(c) = 5*c**3 - 11*c**2 - 21*c + 10. Determine 2*g(z) + 11*i(z).\nAnswer: -z**3 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 - 2 = 3*q, q - 15 = -3*w. Let o(j) = -j**3 - 4*j**2 + 2. Let s be o(-4). Let t be (-2 - 0) + 0 - s. Sort -1, w, t in ascending order.\nAnswer: t, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15222 + -15104. Sort -14, 4, j.\nAnswer: -14, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 428\/33 + -139\/11. What is the fourth biggest value in 771, -5, d, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10418994 and -0.2?\nAnswer: -2083798.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4397 is divided by (-2170)\/(-25) - (-6)\/5?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-156117)\/(-13)*1 + (-1)\/((-2)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/(-24)*(-741)\/2 is divided by (-2)\/(-6) - (428\/(-12) - -5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 22 - (-4 + -6 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-6)\/(198\/(-555)) - -2. Let g(s) = -7*s - 6. Let v be g(-4). Let q = v - k. Sort q, -2, -2\/23.\nAnswer: -2, -2\/23, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/27*1\/((-8)\/(-54)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, -35, -622, -2095, -4832?\nAnswer: -9211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 14 = -18*d. Let o be (-2)\/(-2) + -1 + 7. Calculate the greatest common divisor of o and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1535 - -4604\/3. Let x = -63 + 1073\/17. What is the biggest value in 0.1, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 523018.5 and -120978191?\nAnswer: 121501209.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 13 = -n, -63 = -3*n - 2*h + 7*h. Let i(p) = -n + 6 + 4*p - 3*p + 0*p. Suppose 28*r - 147 = 7*r. Give i(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**3 + j**2 + 2*j - 3. Let p(x) = 14*x**3 - 3*x**2 - 6*x + 8. Let v(l) = -17*f(l) - 6*p(l). Give v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((20 - 38) + -38).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -15) + 11 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -178191, -178222, -178267, -178320, -178375, -178426, -178467?\n\"Answer: c**3 - 13*c**2 + c - 178180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1463 and 4309067?\nAnswer: 47399737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -32, -52, -72, -86, -88, -72?\n\"Answer: f**3 - 9*f**2 + 6*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h - 5 = 0. Let k(r) = 2*r - 7. Let j be k(6). What is the second derivative of 6*v - 2*v**j + 6*v**5 + 3*v - 3*v**h wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1740 + -1737. Solve -17 = -u*h + c - 5*c, -3*h = c - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 24*q - 119. Calculate y(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -2)*((-27)\/6 - -4). Suppose c - 21 + 9 = z. Solve 8 = 4*u - c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, g: 3}. Give prob of picking 2 o.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1349 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-240)\/112 + 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26822615 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 954 and 2135286.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 78941016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 18*g - 75. Let q be h(7). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 - (4 + 3*-13) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 12*z**2 + z + 3. Let f be k(12). Let l = 11 + f. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6928 = 2*s + 2*s, -10 = -5*c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 880.07 + -872. Let o = c + 1.83. Let i = o + -10. Is -2 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14\/h)\/(h**8*h)*h\/h**(-13)*h*h*h*h**(-33) assuming h is positive.\nAnswer: h**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -5*r + 26, 7*r - 94 = 5*x - 40 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162604924003 + 9.\nAnswer: 162604924012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.01, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 3*h**2 + 5*h + 5. Let j(q) = -5*q**2 - q + 2. Let g be j(1). What is i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1960170860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.275302 rounded to three dps?\nAnswer: 1.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-66) + 233\/11. Suppose 0*g + h = 3*g. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 1 + d - 2*d + 10. Let b be g(-9). What is the greatest common divisor of b and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.082*-25407.3.\nAnswer: -2083.3986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/9 and -74\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-2)\/2 + 11951\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*w = -2 - 5, -5*y + w - 9 = 0. Sort 8, y, -2, -4.\nAnswer: -4, -2, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 3 - 77 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 49*q + 172. Give j(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 7, -5, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 + 2 = -8. Let k(n) = 9*n + 5. What is k(u)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430934617 to the power of 1\/2, to the nearest integer?\nAnswer: 66565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-6)*c)**(2\/35))**(-9) assuming c is positive.\nAnswer: c**(72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 5. Let w be y(-4). Let p(t) = t**3 - 6*t**2 + 7*t - 6. Let s be p(4). Let c = w + s. Let l(h) = 11*h**3 + h**2. What is l(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15*(-95)\/342?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 120\/10 - (-1 - 1). Let p = m - 11. Suppose p*h = 4*h + 1. What is the nearest to h in -1, 1\/11, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and 0.886.\nAnswer: 40.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 205632554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000209481762 rounded to 7 dps?\nAnswer: 0.0002095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + l**2 + 1. Let r be t(-1). Let z be 1*(2 + -1) - r. Solve -5*k - 2*q - 8 = z, -3*k - 6 = 3*q - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 4*r**2 + 4*r - 4. Let i be s(3). Suppose -2 = 13*p + 24. Sort p, 2, i.\nAnswer: p, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 - (10 - 107). Let v = 101 - p. Suppose 0 = -4*s + 186 + 42. What is the greatest common factor of v and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 611*q**3 + 0 - 608*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*p + 15, 0 = -5*x + 2*p - 5*p + 41. Suppose -2*k + 6 = 0, -10*k + 2107 = 2*z - x*k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 375\/(-20)*3\/((-9)\/(-40)). Let m be (-20)\/(((-746)\/q - 3)\/2). Let z be (28\/(-1) + 4)*m\/6. What is z rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 - 6*g**2 + g**2)*(69 - 69 + 33*g**2) to c + p*g**3 + q*g + b*g**2 + s*g**4 and give s.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4671498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13898123453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -25*a. Let z(t) = 13*t**2. What is z(g(m))?\nAnswer: 8125*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1552.56696 seconds to weeks.\nAnswer: 0.002567075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(104)*-2)\/((sqrt(96)*-2)\/sqrt(12)) + -3.\nAnswer: -3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -9.7. Let z = 2.7 - w. Round z to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - 2. Let d = 25 + z. What is the third derivative of 5*n**2 - n**d - n**4 - 13*n**2 wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9367 is divided by 75.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26641 - -31?\nAnswer: 26672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c2 + 5?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/816631 and 26\/9.\nAnswer: 7349679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.582, -3, -2\/11, 6\/7?\nAnswer: 0.582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000708204 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 10712 = -10199. Solve -5*a - 14 = -5*h - 3*a, -b = -4*h - a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 59*s**4\/4 + 2*s**3\/3 - s**2 + 3*s - 6. Is a(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 1. Let j = 24 - v. Suppose -j*y + 91 = 29. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 37*k + 135. Let f be v(-33). Solve -d + 0*d - 2*w + f = 0, 2*d - 3*w = -1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1401315078 - 4?\nAnswer: -1401315082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.22 (b) -2\/11 (c) 1\/42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*s + 71*s - 1688 = -52*s - 544 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/1*5\/(-10) + 80. Sort -3, -5, o.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**3 + s**2 - s. Let h be r(-2). Let i be (-1 - h\/(-24)) + 2. Let l = 1 + -5. Sort l, -2\/3, i in decreasing order.\nAnswer: i, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -3) + 1 - -1. Let u be (o\/(-6))\/((-1)\/102). Solve -3*f = 2*f - 2*a + 5, -5*a - u = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502567547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + 0 + -4 + sqrt(14)\/sqrt(2) - (-4*sqrt(14)\/sqrt(2) + (sqrt(28) - sqrt(7))*-3).\nAnswer: -4 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 51 = -30. Let z be 2*(-2 + o\/6). Solve k + 8 = z*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 1229?\nAnswer: -122c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/43, -5, -1\/3, 2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 2*f**2 + 7*f**2)*(-2*f + f**2 + 2*f) + f**4 + 0*f**4 - 5938*f**3 + 5982*f**3 - f**3 + f**3 - f**4.\nAnswer: 3*f**4 + 44*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -17731?\nAnswer: -53193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.9736 and -0.17.\nAnswer: -2.375512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010012112 - 21?\nAnswer: -1010012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 120640000 rounded to the nearest 1000000?\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.84036 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 22*u**2 - 1370*u - 1440. Let p(w) = 13*w**2 - 823*w - 864. Let y(j) = -12*p(j) + 7*q(j). Let y(a) = 0. Calculate a.\nAnswer: -1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w + 12. Let l be w\/21 - (-4)\/14. Suppose 5*v + 2*x - 32 = 0, -3*v + 12 + l = 3*x. What is the remainder when 22 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125984713*a**5 + 64739*a**2 - 9278*a?\nAnswer: 7559082780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3674 - 3817. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - 10.2. Let r = 7.965 + w. What is r rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 2, b: 1, c: 3, a: 5, v: 1}. What is prob of picking 2 s and 1 v?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166052804 to the power of 1\/2, to the nearest integer?\nAnswer: 12886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 13*t**2 + 4*t**2 - 5*t)*(0 + 0 - 2*t).\nAnswer: 26*t**3 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/12))\/((w\/(w*w*(w\/w**(-8))\/w*w*w*w))\/w)*(w*(w\/(w**(-8)\/w*w))\/w*w)\/w*w*(w\/((w\/(w*w*w*w**(-2\/3)*w*w*w*w))\/w*w)*w)\/w assuming w is positive.\nAnswer: w**(365\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + v - 2)*(v - 3*v**3 - v)*(-13*v + 19*v + 5*v) - 7 + 7 - 2*v**5 + (5*v**3 - 2*v**3 - v**3)*(-v**2 + v**2 - 2*v**2).\nAnswer: -39*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/67440 and -16\/35.\nAnswer: 472080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112715099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9817.\nAnswer: 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72.05? (a) -0.4 (b) -0.3 (c) -0.235 (d) 0.01 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*p**4*t**2 + 4*p**2*t**2 - 12*p**2*t - p*t**2 + 3*p*t + 1015 wrt p?\nAnswer: 684*p**2*t**2 + 8*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1252 or -1257?\nAnswer: -1252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**6\/195 + 4*f**5\/65 - 19*f**4\/78 + 4*f**3\/13 - 48*f. Find w such that q(w) = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 1b6?\nAnswer: -1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(19)*3.\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-6))\/((-1)\/3)*4\/(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 883 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 6*z**2 - 5*z - 4. Suppose 9*g = -18 + 45. What is y(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78 and -0.038?\nAnswer: 2.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51072 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(486)*4)\/(-4*sqrt(75)).\nAnswer: -37*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3*x = -22, -247*s - x - 14 = -251*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 (base 16) in base 7?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 297, 578, 853, 1128, 1409, 1702?\n\"Answer: c**3 - 9*c**2 + 301*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p = -207*p + 37*p + 1629 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3193 and 490?\nAnswer: -156.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 + 4 = 3*l, -5*i - 31 = -3*l. Suppose 5*v - 1674 = l*v. Let b = 1145 + v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 3?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 220, 210, 200, 190, 180?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 6*r**2 - r - 1. Let s = 30 + -36. Let o be c(s). Solve -j - 7 = -3*v + 5, o*v = -j + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 5*i**2 + 42*i - 15. Give p(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 107 and 0.775.\nAnswer: 107.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20717 + -20717.1546. What is the biggest value in 5, m, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 1\/333422, 5?\nAnswer: 1\/333422","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 20*f - 11. Let p(s) = -20*s - 2. Let g(m) = -7*m - 1. Let u(i) = -8*g(i) + 3*p(i). Calculate 11*u(t) + 2*y(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 9) to base 14\nAnswer: 10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -47. Let i(z) = -1 - 18*z**a + 1 + 19*z**2. Let b(t) = -24*t + 2. What is i(b(q))?\nAnswer: 576*q**2 - 96*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.161 - -1.161. What is the nearest to -1\/4 in -3, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16bdbb2 (base 14) to base 10\nAnswer: -11217040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v*w**3 + 3*v*w - 1312*v - 8*w**4 - 906*w**3 - w**2 - 78 wrt w?\nAnswer: -18*v - 192*w - 5436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*p - 98*p - 12040 = -121*p for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(425) - sqrt(425) - sqrt(68)\/(sqrt(12)\/sqrt(3))) - ((sqrt(102)*-2)\/sqrt(6) - sqrt(85)\/(-2*sqrt(5))))**2.\nAnswer: 4*sqrt(17) + 81\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*1*(3 + -2). Solve y*q = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 - -261. Suppose 0 = -2*k + r + c + 106, 2*r = 0. Let f = 144 + k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1767044 * -473\nAnswer: -835811812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 2130*s - 219375.\nAnswer: -3*(s + 125)*(s + 585)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13*0.177\nAnswer: -2.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 790325 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 32. Let w be k(-12). What is the third derivative of 2*t**2 + t + 4*t + 3*t**6 + w*t**6 + 5*t**6 wrt t?\nAnswer: 6240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/231 and -46\/1833?\nAnswer: 141141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 2:34 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**2 + 52790*g - 527400 = 0?\nAnswer: 10, 10548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -175377, -175378, -175371, -175350, -175309, -175242, -175143, -175006?\n\"Answer: j**3 - 2*j**2 - 2*j - 175374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215920 and 997600.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10)*-1 - 888\/(-30). Solve 5*y = n - 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*d = 208*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/7 and -16\/36799.\nAnswer: 36799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 19663.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 119421 plus -901895111?\nAnswer: -901775690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-360)\/125)\/(-12)*5)\/(11 - 4256\/385)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -15, 0.4, -8182 in decreasing order.\nAnswer: 0.4, -0.2, -15, -8182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138313 + 138313.057733. Round n to three dps.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - k + 24 = 2*k, 20 = 4*k. Suppose -c + n = -183, 6*n + 548 = y*c + 2*n. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94835 divided by 65\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7530324 is divided by 23606.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 118*z + 57. Let i(f) = 176*f + 86. Let q(n) = -5*i(n) + 8*p(n). Find the first derivative of q(l) wrt l.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0085 and -1.4?\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100529\/8 - -13247. Let q = z - 691. What is the common denominator of q and (-58)\/6*(-2)\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 4. Solve -2*k - 3*f = 2, b*k + f = 4*f + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.5041 - -1.5041. What is the second biggest value in 1\/4, w, -469?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/24 + 3\/2. Let d = -14 + 13.96. Let r = 6 - 11. Which is the closest to d? (a) 2\/5 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 4893445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 732 - 62951\/86. Let z = 45\/172 - x. Is -2\/3 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 66 = -4*a. What are the prime factors of -3 + 2 + -3 + a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -6, -1, 5, 310?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-259)\/(-148)*((-18)\/(-84))\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*l + 139*l - 92*l as k + q*l and give q.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 27*c + 44. Determine g(-32).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1226 - -1223. Let r(f) = f**3 + 3*f**2 + 4*f + 1. Calculate r(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 527, 5?\nAnswer: 527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 1.6096?\nAnswer: 1.7096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9205402 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**(2\/91)))\/z*z)\/z*z*z**(-2\/145))**(-1\/8) assuming z is positive.\nAnswer: z**(-27\/26390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*s - 6, 0*t + 4*s - 12 = -3*t. Find v such that -7*v**2 + 5*v**2 - v + 3*v + t*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (47 + -26 - 16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7312386.\nAnswer: 2, 3, 1218731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -223 + 279. Suppose -w + d = n - 5, -4*w - 5*n = -245. What is the greatest common factor of 24 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128954 divided by 18422.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 27 + 69 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.59418 and -0.9.\nAnswer: -1.49418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -16, -3*c + 41*f = -864 + 977 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6157 (base 9) in base 11?\nAnswer: -3428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.4725 + -0.293.\nAnswer: -4.7655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/7 and 50\/343.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4391, 35056, 118271, 280304, 547423, 945896, 1501991?\n\"Answer: 4378*j**3 + 7*j**2 - 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/183 (b) -3\/5 (c) -1\/6 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2901384 and 10738.\nAnswer: 264025944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 7*f + 6. Let o be (0 + -1)\/(2\/(-24)). Suppose -5*p = -2*p + o. Calculate v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(-2)*g)))**(1\/21)\/(g\/(g*g*g*g**(-4)*g)*g**(-5\/2)*g*g) assuming g is positive.\nAnswer: g**(-23\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = 4*b - 9*b. Let q(a) = -a**2 + 9*a. Let c be q(5). Let u = c - -4. What is the remainder when b is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 + 8 = 3*j, 10 = -5*j - 2*o. Suppose -4 = -j*l - l. Suppose -4*n - 3*p = -72, l*n - 5*p - 41 = -1. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/17)*a*a**5*a*a**(-1\/4)\/(a*a*a*a\/a**0)*a**(-2)\/(a\/(a\/a**2)*a)*a**(3\/2)\/(a*a**(1\/4)) assuming a is positive.\nAnswer: a**(-36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*n + 257 = -754, -4*o - 4*n + 984 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39226, -39142, -39058?\n\"Answer: 84*y - 39310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5*(-1)\/(20\/112)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3 - 2468386*s**2\/3 + 15633380*s\/3 + 11519312\/3 = 0.\nAnswer: -411404, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 3, z: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 divided by 2.\nAnswer: 133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20215.\nAnswer: 5, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 141\/102*-2)\/(-2). Let c = 2 - -4. Sort u, -4, c in decreasing order.\nAnswer: c, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 124 = -9. Suppose 4*y + 4 = -0*y - 4*l, -5*l - j = -y. Suppose 0 = -y*w + 40 - 4. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 3 = 3*t. Suppose -37 - 219 = -4*q. Suppose -2*h = 4*y - q, -y + h + 70 = 3*y. Is t > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*l + 3*x, 4*l + x = 4*x + 46. Let v(r) = r**2 + 5*r + 2. Let c be v(-5). Let q = l + c. Solve -y - 2*y - q = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48\/(-10)*-2*(-20)\/(-16). Calculate the least common multiple of 54 and (1 - -1)\/(c\/(-48))*-1.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(16*u + 76*u + 58*u).\nAnswer: -150*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 5119*h**2 - 82132*h - 143780.\nAnswer: (h - 5135)*(h + 2)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - f**3 + 3*f**3 + (2*f + 0*f + 0*f)*(2 - 2 + f**2))*(-4 - 2*f**2 + 4).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5\/20 + 5*t**4\/6 + t**3 - 11*t**2 + 37*t. What is the remainder when 151 is divided by o(10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*y - 22 - 1007 + 69 = 0 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2 - 9*i**3 - 5*i**2 + 3*i + 2 - 6*i. Is x(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m - 4 = -33*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 770674969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -15518?\nAnswer: -15518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 12\/3)*(-340 - 32). What is i rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1001\/8604 + -5\/956. Which is the nearest to -5\/4? (a) 0 (b) g (c) 4 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = 167*g + 339*g - 6010 - 18421 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 16*i = 0. Solve i*v - 2 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -143 + (15 - -195) + 40?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Let s(t) = -942659*t**2. Determine w(s(l)).\nAnswer: 1885318*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2*i - 2. Suppose -5*d = 2 - 12. Let p(s) = -s**2 - s + 1. Let o(j) = d*p(j) + x(j). Let w be o(-2). What is the nearest to 0 in -0.4, -5, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m + 69 = 61*m. Suppose -2*n - 4*s = 2*n - 4, -3*n + 4*s = -31. Let o be (10\/15)\/(4\/(-18)). Put n, m, o in descending order.\nAnswer: n, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = w + 116. What is the remainder when w is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from ymwyywlfmmmm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17619966 divided by 1258569?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265207*a + 265189*a - 1 + 1 - 795644*a + 265190*a.\nAnswer: -58*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 593377664 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:45 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (38 - -4 - 123)) + (-1 + -3 - 1).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -3, 9, 0, 3.187?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**2\/2 + 13*w + 1. Let r be i(-10). Factor 14*d**3 - 18*d**2 - 2*d**4 - 4*d**3 + 14*d - 7 + 3 + 0*d**r.\nAnswer: -2*(d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 458\/7 + -426\/7. Let z = -235\/56 + f. Let r = -7.7 + 8. What is the nearest to 1\/4 in 4\/3, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*t + 2*t**2 + 130*t**3 + 75*t - 250*t + 95*t in the form r*t**2 + z*t + p*t**3 + x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**8\/6720 - n**7\/630 + n**6\/144 - n**5\/20 - n**4\/6 + 2*n. Let q(i) be the third derivative of r(i). Give q(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 1}. What is prob of picking 3 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 6*x. Suppose -8 = p - 4*f + 3*f, x = -p + 3*f - 10. Let u(a) = a**3 + 7*a**2 + 2*a - 1. Determine u(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, x: 2, b: 8, h: 1, u: 1}. What is prob of picking 1 b, 1 u, and 1 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/28 of a week?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3052103 is divided by 393?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2285 - 12?\nAnswer: -2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -64933 - 101796 - 72935. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**5 - 393*y**3 + 14*y**2 - y**4 + 88 + 0*y**3 + 12 + 62*y**3 wrt y.\nAnswer: -60*y**2 - 24*y - 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1667 - 914. Let d = 752.99927 - f. Round d to five decimal places.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*d - 15*d**4 + 5*d**4 - 12 + d**4 + 7*d**4 + 362 wrt d.\nAnswer: -8*d**3 - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 818*u + 4905. Is d(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300470691?\nAnswer: 3, 100156897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -14*u**3 + 20*u**2 - 32*u + 9. Let l(w) = -5*w**3 + 7*w**2 - 11*w + 3. Let v be ((-20)\/(-25))\/(2\/(-15)). Let i(c) = v*m(c) + 17*l(c). Solve i(a) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from ttccjjtjttttjtcjtcj?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 21223021?\nAnswer: 21222321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*w + 7 = 0, x + 5*w = 4*x + 37. Let i be (-4)\/8*x + 2. Suppose 0 = -0*g + i*g - 332. What are the prime factors of g?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.243 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -0.9 (c) 3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-12) + 59156\/(-7728) + 8. Let h = -296.243 + 0.243. Which is the biggest value? (a) h (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -0.050751523?\nAnswer: -0.250751523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*x = 314, 1300 = -8*l + 12*l + 5*x. Is l a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:28 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t - 27. Let y(l) = -l + 4. What is the tens digit of y(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784*u = 780*u + 4*k - 268, 15*k - 910 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -938491716 + 134204909042\/143. Let j = h + -47798\/11. Let r = j - -194. What is the fourth smallest value in -0.4, r, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 20\/19 - 2\/19*v**2 + 18\/19*v = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 c, 1 f, and 1 y when four letters picked without replacement from {y: 2, w: 1, o: 1, f: 2, q: 1, c: 2}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6)*10\/1. Let s = -6 + 5. Let d = -3 - s. Sort v, 1, d in descending order.\nAnswer: 1, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = 13. Let n(a) = -2 - a**v + 0*a**2 + 1 + 4*a**2 + 2*a. Calculate n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h + 10*h - 6*h - 219 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**3 - 40*p + 2 + 40*p as z*p + l + o*p**2 + c*p**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-4)\/(-24)*3. Which is smaller: c or 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 6*s**2 + 11*s + 6. Let a be o(-2). Put a, -4, -77 in decreasing order.\nAnswer: a, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-1 + 1 - 2*f) - 2*f - 32*f + 0*f + (3*f - 4*f + 2*f)*(2 - 4 + 0) - 2*f + 2*f + f.\nAnswer: -37*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -1 - (-4 + 1*sqrt(3)))**2.\nAnswer: 48*sqrt(3) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 5*m + 74. Suppose -m = -3*v - 11. Let i be 4\/(-8)*v\/(-1) - -3. Put i, 0.5, -3\/5, -0.2 in descending order.\nAnswer: i, 0.5, -0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from kkhkkhkkhkkhkh?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-165)\/9*(-3)\/1 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2057, 4087, 6117, 8147, 10177?\n\"Answer: 2030*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6050318, 6050316, 6050314, 6050312, 6050310, 6050308?\nAnswer: 6050306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -532\/799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let t(d) = -5. Let s(f) = 2*n(f) + t(f). What is the tens digit of s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -25, -469, -4, 2, -5, 4 in increasing order.\nAnswer: -469, -25, -5, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:26 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 26*p - 17. Let a be k(4). Suppose 105 = 6*m - a. Suppose -27*r = -m*r. Solve 0 = -3*f + 2*o - 5, 2*f - 5*o = -r*o + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:21 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*h + 46, -4*v + 2*h - 10 = -68. Suppose z + c = 15, 4*c + 2 - 22 = 0. Suppose 0 = -n - 5*u + v, u + 27 + z = n. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -118 and 4?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 8*f + 118. Suppose -5*h - 3 = 47. Let n = f + h. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184 or 12?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + f**2 + 4*f)*(-3 - f + 3)*(-29*f + 289 - 289).\nAnswer: 29*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*p + 6, 3*i - 3*p - 21 = 0. Suppose 0 = 2*k + q + 2*q - 392, 1030 = i*k - 5*q. List the prime factors of k.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*k - 10, 2*r = 7*r - 2*k - 25. Let t(y) = r*y**2 - 2*y - y**3 + y**2 - 3 + 1 + y. What is t(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16617000.12 to the nearest one hundred thousand.\nAnswer: 16600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21120 (base 5) to base 10\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 101, -1, 197, 35 in increasing order.\nAnswer: -2, -1, 35, 101, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, v: 1, t: 2}. What is prob of picking 2 t and 1 l?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w + 6*w = 85068. Is w at most 1668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 680 = -3*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1245 divided by 4896.\nAnswer: -415\/1632","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2\/3)*k)**30 assuming k is positive.\nAnswer: k**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1794253.5 microseconds?\nAnswer: 0.029904225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 25. Suppose -3*h - 2*u + 58 + 57 = 0, c*u = -h + 34. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Suppose 0 = 5*h - 18 + 3. What is the second derivative of -h - 5*b - b**v + 3 + 0*b wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/527920 and -63\/25076200.\nAnswer: 50152400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/6731, -4, -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1914, 7945, 17986, 32031, 50074, 72109, 98130, 128131?\nAnswer: 162106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 4549862, 0 in ascending order.\nAnswer: -6, 0, 1, 4549862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: a2 (base 13) to base 2\nAnswer: 10000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose 2*o - 5*r - 24 = x, 5*r = -8*o + 4*o + 18. What is the remainder when 13 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5))**(-8)\/(o**(-1\/4)*o*o\/o**(4\/7)))\/((o**(-1\/3))**(-45)\/((o\/(o*o*o*o**(2\/3)\/o))\/(o*o**(-4)\/o))) assuming o is positive.\nAnswer: o**(-7159\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2363 + -22?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x = 5*s - 72, 159*x = 163*x + 5*s + 24 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4086516*q + 2 - 11*q**2 + 4086516*q.\nAnswer: -11*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -2, 2, 14, -319?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.6 - -97.9. Let a = 133 - x. What is the closest to 0.01 in 1\/7, -1\/9, a, -0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:47 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 26 = n, 0 = -0*n + 2*n - 3*y - 107. Let f = 35 + -19. Calculate the remainder when n is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142601 (base 8) to base 12.\nAnswer: -25315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211320113 (base 4) to base 9.\nAnswer: -255748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -9 + (3 - 2) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 1\/3*l**4 + 0*l**2 + 0*l**3 + 8\/15*l**6 + l + 0 + 0*l**5. Find the third derivative of x(f) wrt f.\nAnswer: 384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 3:54 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -33*k**3 + 14*k**2 + 5. Let q(u) = -34*u**3 + 16*u**2 + 6. Let n(a) = 7*g(a) - 6*q(a). What is n(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 63 = 4*a, -2*a + o + 15 = -18. What is the tens digit of (-39)\/(-12)*1*a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 168\/49 + 46\/7. Solve q - t*i + 2*i - 10 = 0, -5*i = -2*q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + 2. Let o(d) = 18*d**2 - 13. Let t(x) = 39*a(x) + 6*o(x). Let u(j) = -j. What is u(t(f))?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 6 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 at least as big as 1071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 10 (c) 15\/49 (d) -150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v + 15 = 0. Let n be (4\/12)\/(v\/2). Factor 2\/3*w**4 + 2\/9*w**5 + n*w**2 + 0*w + 2\/3*w**3 + 0.\nAnswer: 2*w**2*(w + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/18 + 22\/6. Let p be (-8)\/18*z\/6. Let f = 0.3 + -0.4. Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5277 divided by -3.\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -6*a + 392. Let r be 4\/(-14) - (-161)\/a. Sort -5, 1, 2, r in ascending order.\nAnswer: -5, 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3962 divided by 3.\nAnswer: -3962\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*b**4\/13 + 153944*b**3\/13 + 329337466*b**2\/13 + 804264300*b\/13 + 292410000\/13 = 0. What is b?\nAnswer: -4275, -2, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 985455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (-24 + 1 + (-30 - -43)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.081, 5, -1\/5, -1\/437, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 + 298*y**2\/5 - 2190*y - 2250.\nAnswer: -2*(y - 75)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 45*r - 152. What is the units digit of y(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234424 is divided by 43.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23491266 and 0.0416?\nAnswer: 23491266.0416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -13*g - 4. Let r(y) = -207*y - 63. Let c be -64 + (2 - 1 - 0). Let d(u) = c*o(u) + 4*r(u). Let m(b) = -b**2. What is m(d(f))?\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) -5 (b) -4\/101 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 + 38*r + 191. Let y be x(-10). Is 1057\/5 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:26 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 22. Let l(m) = 2*m - m + 15 + y*m**3 - 7*m**3. Is l(0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 8*b + 38*b + 3*b**2 + 4*b**2.\nAnswer: 6*b**2 + 46*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 1143 + 53. Suppose 0 = 10*t - z - 12. What is the remainder when 62 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-6) + 10\/(-15). Let b = i + 6. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Suppose 0 = 5*b + k - 37, -5*b + k + k = -46. Suppose -4*f + 5*h = -b, 0*h + 8 = 2*h. Solve f + 5 = -u*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*y + 9 = -4*l + 503*y, -5*l - 9 = -4*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18)*-2 + 6*(-3*sqrt(18) - sqrt(18)))\/(sqrt(54)*-1 + (sqrt(726) + 3*sqrt(726) + sqrt(726) - sqrt(726) - sqrt(726))).\nAnswer: -14*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 - 12300*i**4 - 2*i**2 + 12298*i**4 + 62 + 160*i as x*i**3 + d + u*i**4 + z*i**2 + h*i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4222)\/(-27443))\/((-2)\/208)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 135520\/2481 and 56 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**3 + 13*o**2 + 6*o + 8. Let g(n) = -11*n**3 + 27*n**2 + 11*n + 16. Let m(r) = 9*c(r) - 4*g(r). Let z = 7 + 3. List the prime factors of m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-16)*16\/12. What is the second smallest value in k, -5, 0.3, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/4 + -14 + 3190\/360 and -143\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -343\/4. Let p = -130 + 23. Let g = 106.9 + p. Is h bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005423 to 7 decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/7 + 1 + (-1315)\/3990)*(-483)\/1610?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nngnnngnnngnnn.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 0, 3*s = -2*i - i. Factor 0 + 2\/5*t**4 + s*t**3 - 2\/5*t**2 + 1\/5*t - 1\/5*t**5.\nAnswer: -t*(t - 1)**3*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -18911 - 83877 - 28099. Is 42 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + 11. Suppose -2*k + 0 = -l. Calculate the highest common divisor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-50) - (-8)\/(-10))\/(2\/(-114)). Let w = -277 - -790. Calculate the greatest common divisor of b and w.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1426668 is divided by 237777.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 493984 and 1720.\nAnswer: 2469920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 3053.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/606099 and 50\/117?\nAnswer: 1818297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523266 is divided by 104345.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.393 + 4.507. Let s = r - 5.3. Suppose -5*f - 5*z = -z - 20, 2*f - 8 = 3*z. What is the third smallest value in -13, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -43, 72, -5, 4.\nAnswer: -43, -5, 3, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-1\/10))*((u\/(u*u*u**(4\/7)*u*u))\/u)\/u)**(-8))**(-12\/7) assuming u is positive.\nAnswer: u**(-18384\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 120\/16*(-204)\/(-170). Solve -41 + 23 = -l*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 288 - o + 285 - o**4 - 577 + 2*o**3 to the form n*o**4 + d*o + j*o**3 + g + z*o**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -5, 0.2, -0.05, -43\/5 in decreasing order.\nAnswer: 0.2, -0.05, -4\/7, -5, -43\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2.7, -4, 0.5, 8\/5, -2\/11, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -5*k**2\/2 - 12. Let w(n) = -116*n + 220*n - 127*n. Give b(w(r)).\nAnswer: 115*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49861, 50097, 50345, 50611, 50901, 51221?\n\"Answer: n**3 + 229*n + 49631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 4. Let o = -15 - -18. What is c(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-95))\/(3 - 504\/180)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -1\/24*j**6 + 0*j + 1\/30*j**7 + 0 - 1\/30*j**5 + 0*j**3 + j**2 + 0*j**4. Determine o, given that k(o) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*j**3 - 1868*j**2 - j - 49781 wrt j?\nAnswer: 27*j**2 - 3736*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Solve o = -3*l + 4*l + 5, -x*l - 15 = -3*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(24\/18))\/(2\/8). Suppose k*f - 120 = -5*f. Let x be (-4)\/(-6)*f\/10. Which is the biggest value? (a) -5 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 10*f**5 + 5045*f**4\/2 + 97110*f**3 - 881960*f**2 + 1179400*f + 351480 = 0?\nAnswer: -202, -58, -1\/4, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1449 - -0.0551. Which is the nearest to -11? (a) 1\/4 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -16.6. Put o, -2\/5, -3\/5 in decreasing order.\nAnswer: o, -2\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, k: 2, p: 4, u: 2}. Give prob of picking 1 p, 1 d, and 1 k.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 1334272\nAnswer: 14676992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 58, 63, 68?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1300 = -2*l, -2*l + 3247 = 7*g - 2*g. List the prime factors of g.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142488?\nAnswer: 2, 3, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/3 - (-1)\/3. Let l be 2\/r + (-613)\/14. Let n = l - -787\/18. Which is the nearest to -1\/4? (a) 1 (b) n (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5381500 to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/37, -4, -0.27.\nAnswer: -4, -0.27, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224*a*q**3 - 29*a*q**2*u**3 - 2*a*q**2*u**2 - 2*q**3*u**3 + 2*q**2*u wrt q.\nAnswer: 1344*a - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 15 + 21 + 220*n + 11*n - n**4 - 196*n to a*n**4 + d*n**3 + v + i*n + u*n**2 and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.5 - 9. What is the biggest value in 0.1, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c - 248. Let v(t) = -6*t + 250. What is 5*a(l) + 4*v(l)?\nAnswer: l - 240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 550136\/205 or 2685?\nAnswer: 2685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 98.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = y + 19, y + 13 = -3*g - 4. Suppose -2*f = 2*m + 114, 4*m - 45*f = -46*f - 216. Let p = y - m. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83779*b - 828 = -83825*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54363844 or 54363843?\nAnswer: 54363843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:14 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 586524 + 586832 for x.\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184982 - -131.97566.\nAnswer: -1184850.02434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 177380971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/41 in -0.5, -4, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + -0.33. Let n = l + 0.499815. Round n to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - (sqrt(1872) - (1 + sqrt(1872) - sqrt(1872))*2) - sqrt(1872)) + (sqrt(208) - (sqrt(208) + sqrt(208)*1 + sqrt(208)) - sqrt(13))*2)**2.\nAnswer: -120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 23, 79, 165, 281?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 + -88.13. Let m = g + 88.000172. What is m rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1091447 (base 10) to base 11.\nAnswer: 686025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = -0*k. Suppose -k*c - 40 = 5*w, 0 = -3*w + 5*w + 10. What is the second smallest value in 0, 2\/7, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*s - 14, -8164*s - 4 = -2*i - 8166*s for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**2 + 10*g**2 + 10*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and -9799 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044781 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18762 - 131027\/7. Let d = 44 - j. Is -1 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 0.9. Let o = 0 + 2. Let v = -27\/20 - -7\/4. Which is the nearest to o? (a) 0.1 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 17. Is 12 a factor of j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by 5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*t + 4*n + 6, 2*t - 4*n = 12. Suppose 30 = 5*q - t*q. Which is bigger: q or 25\/4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32229 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0, -2, 10 in increasing order.\nAnswer: -2, 0, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 1 = -2*u, 5*c - 8 + 3 = -4*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0 - 13\/105*w**7 + 0*w + 0*w**5 + 0*w**6 - 23*w**2 + 0*w**4 - 14\/3*w**3. Find the first derivative of b(o) wrt o.\nAnswer: -104*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v = -6, 0 = -2*s + 2*v + 42. Suppose -4*i + 10 = -2*u, 3*i - 4*u = 8 + 2. Let o = s - i. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36395*v**2 - 36295*v - 100 = 0.\nAnswer: -20\/7279, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -14*c + 9*c. Suppose -5*f + c = k, k - 4*k - 4*f + 17 = 0. Suppose 3*p - 35 = -q + k*p, 3*q - 60 = 3*p. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8245704767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 214000 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z + 48. Let s = z - 42. Solve -28 = -4*t - 4*b, t + s*t + 4*b - 26 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253158 is divided by 103.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 at most -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, 1067, 3110, 6073, 9950, 14735, 20422, 27005?\n\"Answer: -c**3 + 469*c**2 - 283*c - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**3\/6 + 53*c**2\/2 - c. Suppose -3*n = -n. Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 11253*a = -11255*a + 46, 7*r - 5*a = 55 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 113 (base 6) to base 13\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y + 4335 = -1140. Let i = y + 208. Let g(m) = -m**3 - 11*m**2 + 7. Determine g(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23479006 to the nearest integer?\nAnswer: 4846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(405) + -1 + -1 + sqrt(405) - ((-5*(0 + sqrt(405)))**2 + sqrt(405))).\nAnswer: -27*sqrt(5) + 30381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 3*l**2\/2 - 2*l - 102. Let g(u) be the third derivative of -u**4\/24 + u**3\/6 - 5*u**2. Give 8*g(j) + 3*v(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f + 569*f**3 - 375*f**4 - 119*f**3 - 151*f**2 - 29*f**2 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Let i(x) = -5*x - 4. Let k(g) = 6*g + 5. Suppose -7*v + 11 + 10 = 0. Let h(s) = v*k(s) + 4*i(s). Give h(a(p)).\nAnswer: -4*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*p + 25, f - 3*f = -4*p + 26. Let s(h) = h - 2. Let x(q) = 762*q + 4 - 1522*q + 758*q. Give f*x(d) - 7*s(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 7. Let k be t(-5). Find i, given that -2*i**3 - 9*i**2 + 3*i**k + 4 + 0*i**2 + 4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 + -10402?\nAnswer: -10337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 40. Suppose 31 = 3*o + 4*d - 5*d, -5*d = -g. Solve -5*n - o = -3*w, 7*n = 6*n + 5*w + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 621244 + 137*b**5 - 621244 - 4*b**5 - 2 + 2 + (0*b**3 + 0*b**3 + b**3)*(-2*b**2 - 3 + 3).\nAnswer: 131*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 19*f - 16. Let d be r(-20). Suppose d*z + v + 659996 = 0, 3*z + v + 218690 + 276306 = 0. What is z rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n = -28*n - 2*x + 18, -3*n - 3*x + 15 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p + 5. Suppose -36*y + 31*y = -30. Give f(y).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*d - 528, 5*f = d - 0*f - 116. Let r = d - 96. Suppose 0 = -n - 4*n + 40. Which is greater: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**5\/20 - 7*c**4\/12 + 2*c**3\/3 + 3*c**2 + 6*c. What is a(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*d - 3*m, 3*d - 5*m = -m + 29. Suppose 3*y = 4*y - 12. Calculate the remainder when y is divided by -1 - 1 - d*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1700) + -2.\nAnswer: -1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + 4 - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3295.2128 and 14.\nAnswer: -3281.2128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**4 + w**4 + 0*w**4)*(98*w - 217*w + 113*w - 71).\nAnswer: 30*w**5 + 355*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29385?\nAnswer: 3, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from mbbmbmbmmm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 53. Which is the second smallest value? (a) 3 (b) j (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16228*q**2 - 19221*q**2 - 5 + 5.\nAnswer: -2993*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*s*t**2 - 3*g*s - 99640*g*t**3*w - 6*s*t**3 + 2*s*t*w + s*t - s + 62 wrt w.\nAnswer: -99640*g*t**3 + 2*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 2*q)*(1 - 3 + 10)*(6*q - 16*q - 10*q)*(-q + q - q).\nAnswer: 160*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4170 + 4990. What is the highest common factor of 41 and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/2 - b**3\/3 + 2*b**2 - 3*b - 1. Let w be ((-6)\/2)\/(3\/(-2)). Let y be d(w). What is y rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {j: 7, f: 1, c: 12}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118320 or 118321?\nAnswer: 118321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6255857 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzfzzhyrsrfshr. Give prob of sequence hzr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3 + (-119)\/(-21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 190 and -7.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**3 + 58*t**3 - 79*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -4215?\nAnswer: 4218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745 = -7*b - 682 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 0)*1\/1. Suppose 5*k - 3*d = 130, k - 2*d = -b*k + 33. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250138564 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112021 (base 3) in base 12?\nAnswer: -15a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50371440 divided by 6.\nAnswer: -8395240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*o - 5*p, 2*p - p - 5 = 0. What is the remainder when (-14*o)\/(-1)*8 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -3980\nAnswer: 3\/1990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0 + 9*d - d**2 + 1\/3*d**3. Let u(t) = -31. Let l(s) = 11. Let p(z) = -17*l(z) - 6*u(z). Give -2*p(q) + v(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by (((-16)\/(-24))\/(2\/(-234)))\/(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -20*p - 6*p. Let s(w) be the third derivative of 1\/42*w**7 + 35\/24*w**4 - 1\/8*w**6 + 5*w**3 - 16*w**2 - 1\/4*w**5 + p + 0*w. Factor s(n).\nAnswer: 5*(n - 3)*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -41, -58, -75?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2 - 2 + 0 + 3 + (1 + 1 - 4)*(-2 + 1 + 0) + 2 + 1 - 1 + 1 + 0 - 3 + 1 + 1 - 3 + 2 - 4 + 3 + 1 + 0 + 8)*(2*m**2 - 3*m**2 + 2*m**2).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7845.1569ms?\nAnswer: 0.00217921025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/48120 and 121\/1215030?\nAnswer: 4860120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 2053*b + 14441. Let t be c(-7). Let g(f) = f**3 - 4*f**2 + 4. Let w be g(4). Put w, -5, t, 0 in increasing order.\nAnswer: t, -5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28960 - 4106?\nAnswer: 24855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmo when three letters picked without replacement from omoooom?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -11. Let m be (-3 + 3\/v)\/1. Solve -5*r - 10 = 5*p, m = 4*r - 6 + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**4 + 5*v**3\/3 + v**2\/2 - 5*v - 10. Let o(l) = -2*l**3 + 2*l**2 - 2. Give -5*o(w) + 2*z(w).\nAnswer: 2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*c**3 - 45*c**3 + 93*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2. Let t = 6\/26777 + 53488\/294547. Which is the closest to t? (a) 5 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**3 - 22*o**2 + 152*o + 25. Let i(c) = 3*c**3 + 12*c**2 - 76*c - 13. Determine 11*i(y) + 6*m(y).\nAnswer: 3*y**3 + 76*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(3 - 4\/8). Let i be (-120)\/168*(-2)\/o. Does i = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -5, -4291, -1, -54 in ascending order.\nAnswer: -4291, -54, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = 2*g + 100, -5*r + 5*g = -90. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.136 + 0.126. Which is the smallest value? (a) -2 (b) -4 (c) x (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**3 + 777*c**2 - 38*c - 27. Let k be r(-111). Sort 3, 4, k in descending order.\nAnswer: k, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(7) + (sqrt(7) + sqrt(63)\/sqrt(9))*-1.\nAnswer: -sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*y - 4*h + 51, 0 = y - 5*h - 2. Let q(b) = y*b - 8*b + 10*b. Let c(a) = -4 + 43 - a**2 - 39. Determine q(c(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37207868 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6411204 by 55269.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23437 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5 - (2 - 65\/25)*21845 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 651\/2 + 72\/(-144). Solve -5 = -v*u + 324*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1323*a - 157*a + 35054 - 39063 - 88105 for a.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 40*g + 584. Calculate the remainder when x(15) is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -9 + 17 + 11 + -11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 290766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/975 - (-102)\/(-90))\/((-158)\/4 - 2).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m - m. Suppose -h + 0*h = -5*f + 921, m = 4*f - h - 736. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 10*u**3 + 178*u**2 - 228*u = 0.\nAnswer: -19, 0, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1797, 3630, 5485, 7356, 9237, 11122, 13005, 14880?\n\"Answer: -v**3 + 17*v**2 + 1789*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*w + 15, w + 32 = 4*z - 0*w. Let g(n) = 8*n**2 - 2. Let v(a) = 15*a**2 - 4. Let o(j) = z*g(j) - 4*v(j). Differentiate o(k) with respect to k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 - 4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/9 - 6 - -17. Suppose 2*a - 3*z = 12 - 0, -5*a - 3*z = -30. Suppose 0 = -a*i + u*i - 115. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*v - 1359 = 96*v - 13*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 669064?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i + 23*i + 3*i + 21*i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**2 + 2*r**2 - 36*r**2 to s + v*r**2 + g*r and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n - 19 - 36*n**3 - 14*n**2 - 12 + 11 - 4*n + 35*n**2. Let m be b(-15). What is m rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8534301*i**3 + 16418745*i**2.\nAnswer: -51205806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/407 and 45\/296.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 234288, -4, -8, 3 in increasing order.\nAnswer: -8, -4, 3, 234288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 12. Let o(z) = -z**3 + 8*z**2 - 6*z - 5. Let s be o(7). Suppose 5*t - 21 = s*b, -15 = -b + 6*b. What is the remainder when p is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419961 (base 13) in base 10?\nAnswer: 1535106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 0*r + 0*r + (1 + 0 - 3)*(53 - 28 - 1737*r - 25).\nAnswer: 3472*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 790685, 1581534, 2372383?\nAnswer: 3163232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1218 divide 533958293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 3. Let w(b) = b. Let p(t) = -7*t + 8. Let u(g) = -p(g) + 2*w(g). What is 11*n(d) + 4*u(d)?\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Let k = -290 + 287. Put b, 4, k in ascending order.\nAnswer: k, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1756021\/4 or -439004?\nAnswer: -439004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*w - 4 = 5, 0 = 2*d - 2*w - 6. Let t be (2 - (-3 + d))*-11. Does 5 divide (-8)\/(-12) + t\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f + 3*f. Let y be (10\/(-30))\/(2\/(-6)). Which is the biggest value? (a) f (b) 6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.145*1.5\nAnswer: 0.2175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/3252)\/((-1)\/(-3)). Let l = b - -552\/1355. What is the closest to 0 in l, 5\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9437 + 9437.0151. Which is smaller: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/16 - p**3\/2 + p**2\/8 + 3*p\/2 + 130. Factor g(f).\nAnswer: -(f - 1)*(f + 1)*(f + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - u - 45 = 0, u + 17 = -2*v + 2. Let r be 6\/(-2)*28\/(-6). Let x = v + r. Calculate the remainder when 10 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4102*p**4 + p**3 - 2341*p wrt p.\nAnswer: -49224*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31934198 plus 1.648?\nAnswer: 1.96734198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7612 - 11?\nAnswer: 7601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18604618 to the power of 1\/2, to the nearest integer?\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 1596.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by 38\nAnswer: -27\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 - 1421916 - j**3 + 1421916.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 5 + 10 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 5)*(-17*p - 22*p - 6*p) + 7 - 8 - 8*p + 1.\nAnswer: -278*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 550 = 49*m + 62*m. Suppose 2*w + 2*w = r + 2, 2*r - 2*w = -4. Put m, r, -10, -4 in decreasing order.\nAnswer: m, r, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88605\/895*(3\/(-18))\/((-2)\/(-4)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 10 + 541*o + 545*o - 1083*o)*(3*o**3 - 1 + 1).\nAnswer: 6*o**5 + 9*o**4 + 30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 201632*d*u**3*y - 11940*d*u**3 - 3*d*u**2 wrt y.\nAnswer: 201632*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 424, 954, 1838, 3076?\n\"Answer: 177*z**2 - z + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -1, -1134, 5, 0.07, -7, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13 - l + 14 + 2. Calculate the remainder when 66 is divided by w(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/30)\/(70\/50).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 761\/174 - -11\/87. What is w in -k*w**3 - 9\/4*w**4 + 27\/4 + 63\/4*w + 15\/2*w**2 + 3\/4*w**5 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - l - 5. Suppose -8*q - 58 = -9*q. Calculate the remainder when q is divided by t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3980285681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + 2 + 15 - (-12 + 21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*o = -113*o + 767. Let h(w) = 14*w + 12. Let y be h(9). Let q = y + o. List the prime factors of q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 106 - 328. Let t be u\/(-14) - 14\/49. Let q = t - 2. Solve 4*a + n + 4 = -11, -a - q*n = 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4567768*o**4 - 8142934 wrt o?\nAnswer: -18271072*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + 11.3. Let z = -12.000033 + s. What is z rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 14245225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3. Let c(k) = -33*k - 52. Let i(l) = -c(l) + 2*m(l). Find the first derivative of i(x) wrt x.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 1737 = -483. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 8:20 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741 = 31*x + 5*x - 426 + 1557 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43111 - -4145?\nAnswer: 51300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5388, -5378, -5366, -5352?\nAnswer: -5336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1*d**(-2\/3)*d)**(-5)*(d**1*d)**(-2\/19)\/(d\/((d**(-2\/3)\/d)\/d))**(-21) assuming d is positive.\nAnswer: d**(3712\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18530482.743 and -29.\nAnswer: -18530511.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 4*u**2 - 3*u + 6. Let m be b(-5). Let j be -1 + 3 - (m + 4). Factor -j*g**5 - g**3 - g**3 - 4*g**4 + 0*g**4.\nAnswer: -2*g**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - c = k + 8, 4*c + 14 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 3, -0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*v = -4*v + 15, -13 = -j + 3*v. Let x be j\/11 - (-4)\/22. Put x, 0.4, 2 in descending order.\nAnswer: 2, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -3. Let h(g) = g**3 + 10*g - 7*g**2 + 107 + 0*g**3 - 115. Let t be h(b). Solve 2*f = -4*o - 0*f + t, -3*o + 2*f - 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a millennium in decades?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o + 9. What is k(13)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*h - 340*h = 84*h - 52309 + 6481 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 5*t**3 + 129 - 129.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 4189, -1\/39, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33010 is divided by 111?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**5\/40 - w**3\/2 + 2*w. Let t(c) be the second derivative of l(c). Calculate the remainder when t(1) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26432 divided by -13216.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.58354691 - 10.684546. Let u = s + 0.101. What is u rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-192)\/(-15))\/((-2)\/(-10)). Let j = a + -61. Suppose 0 = 4*w + 8, -w = 4*g - j*w - 92. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3697552 and 131936.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 78616.89g?\nAnswer: 78.61689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11505343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 636108*s**2. Let i(o) = 12*o - 1. What is i(f(r))?\nAnswer: 7633296*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2126 and 96\/(-14) + (-218)\/1526 - -12?\nAnswer: 10630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 s when four letters picked without replacement from {c: 2, v: 2, f: 3, s: 5}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 - 12813726\nAnswer: -12813726.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29649876*w**2 + 13*w + 194328?\nAnswer: -59299752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 22. What is n(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -2.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + r + 21 = 0, -3*r + 5*r + 27 = 5*g. Let s(l) = l**2 + 3. Does 21 divide s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**2*o)\/o)\/o*o)\/o)\/o**(-2\/9)*o**(-2\/13)*o*o\/(o*o**(3\/7)\/o)*o*(o**(1\/4))**(-46)*(o*o**1*o)**(-4) assuming o is positive.\nAnswer: o**(-30893\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3. Let b(j) = -11*j - 172. Let f(h) = b(h) + 3*s(h). Let i be f(-33). Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 10:41 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g + 1. Suppose -4*y - 8 = -p, -3*p + 1 = -3*y - 5. Calculate the remainder when d(y) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**8\/33600 + d**7\/12600 + d**6\/3600 - d**5\/600 - d**4\/3 - 3*d. Let l(c) be the third derivative of m(c). Factor l(q).\nAnswer: -(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*4*(-3)\/3. Let b(s) = -s + 1. Suppose -n + 10 = 8. Let h be b(n). Sort 3, y, h in ascending order.\nAnswer: h, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3*c**4 - 2 - 1 - 4*c + 4 - c**2 to the form p*c**4 + r*c**2 + l*c**3 + i + t*c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(4\/4)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (7 - (-7 + 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -32 - (1 + -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 3. Suppose -4 - 12 = 4*j. Let i be t(j). Let a be ((-3)\/15)\/((-2)\/(-6)). Does i = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/4 + 217*p**3\/4 + 2619*p**2\/4 - 6777*p\/4 - 2295 = 0 for p.\nAnswer: -204, -15, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -0.77 (c) 4 (d) -0.1 (e) -117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.00665 + -0.05\nAnswer: -0.05665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2745)\/(-3) + (-5 - (-5 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 1. Let q(w) = w + 11. Let j be q(-9). Let m(a) = 5 + 9*a - 3 - 7 - 16*a**j - 8*a. Determine -11*i(k) - 2*m(k).\nAnswer: -k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/40 - 7\/5) + 6. Suppose 149 + 46 = g*o. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/11))**(17\/3) assuming m is positive.\nAnswer: m**(-68\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-3) + (-4)\/(0 + 1). Let g be (b\/22)\/(6\/264*22). Determine i, given that 6\/11*i**2 + g*i**4 + 6\/11*i**3 + 0 + 2\/11*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, 56670 in descending order.\nAnswer: 56670, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -89, -140, -193?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, k: 7, d: 1}. Give prob of picking 3 k and 1 s.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 - 1)*(-v + v + v) + 0*v - 4*v + 0*v)*((4 - 1 - 5)*(1 - 5 + 2) + 2 - 1 - 2 + 603 - 272 - 715) in the form p*v + h and give p.\nAnswer: 1905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2379)\/52)\/(-61)*8\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 30. What is the remainder when 65 is divided by z(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12065953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**5 - 22395*o**4 - 4*o**3 + 40261*o**2 + 7*o + 1 wrt o?\nAnswer: 120*o**2 - 537480*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69910a (base 11) in base 8?\nAnswer: -4170251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -560*z + 336. Let a(r) = r. Calculate k(a(y)).\nAnswer: -560*y + 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 15. Let s be 9 + -1 - (1 + (-46)\/(-6)). Which is the third smallest value? (a) 0.1 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 288?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/1)\/(10\/(-110)). Differentiate h*i**4 - 22*i**3 + 3 + 22*i**3 with respect to i.\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -10 + 1. Suppose -359975 = -2*c - 5*z, d*c - 2*z = -z + 540005. What is c rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 9. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(2040\/(-200))*(42\/(-40))\/((-12)\/(-48))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 40645740?\nAnswer: 40645744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 698458634 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 0 - 5\/3*w**3 + 1\/2*w**4 - 6*w - 5*w**2. Let g(c) = 2*c**2 - 3*c - 3. Suppose -10 + 58 = -3*n. Determine n*g(r) + 5*m(r).\nAnswer: -2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 21*s + 361. Give r(32).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.747 * 5.\nAnswer: 58.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245)*-1*1.\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7405, -7, 0, -14?\nAnswer: -7405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 113 in 0, 2\/5, -35?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -192, -196, -202, -210, -220?\n\"Answer: -a**2 - a - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -6*(sqrt(117)*2 + sqrt(117) + -3))**2.\nAnswer: -9720*sqrt(13) + 228798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**4\/4 + 4*v**3\/3 + v**2 + 7*v - 9. Let i be -10*2*(-1)\/4. Calculate b(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*-6.76.\nAnswer: -1.2168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t**2 - 4*t - 16. Let h(x) = 4*x**2 + 2*x + 1. Let w(p) = -6*p**2 - 3*p - 1. Let s(j) = 8*h(j) + 5*w(j). Calculate -11*s(o) - 2*y(o).\nAnswer: -2*o**2 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92514260?\nAnswer: 2, 5, 4625713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9\/2, 982 in increasing order.\nAnswer: -2, 9\/2, 982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -1.520074?\nAnswer: 0.1520074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44295 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 107609912 and 0.1.\nAnswer: 107609912.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**4 - 3297*g**3 - 8211*g**2 - 3282*g = 0. Calculate g.\nAnswer: -547, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74523453 is divided by 576?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*d + 136 = 295 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 563461057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139151 + 138913.596. Let g = 237 + c. Let z = g - -0.4. Round z to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4 - 35*f**3 - 345*f**2 - 585*f = 0. Calculate f.\nAnswer: -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 56\/9 (c) 503 (d) -0.4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j + 15 = -4*c, 2*j - 10 = -c. Suppose -4*v + 5 + 15 = c. Suppose 2*o - v*o + 18 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 0, -2\/2789, 5, 4?\nAnswer: -2\/2789","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 17*z**4\/12 + 3*z - 1. Let m(p) = -3*p. Give u(m(t)).\nAnswer: 153*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/125 - -107\/1125. Which is the smallest value? (a) -3\/8 (b) u (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 5*l**3 + 1 + 9*l**2 - 13*l**2 - 3*l**3 to k + o*l**3 + s*l**2 + n*l and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4468544*a**4 - 42*a**3*k - 2*a*k + 115150*a - 3*k + 4 wrt a?\nAnswer: -53622528*a**2 - 252*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 12 = i, 481*i - 483*i = 2*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -364 (b) -134 (c) 27\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + 5*a**5 - 5*a**5 + (-2*a**3 + 3 - 3)*(2*a + 2*a**2 - 2*a) + 5*a**5 + 0*a**2 + 0*a**2 - 2*a**5 - 3*a**5 + 4*a**5.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 - 6*f**2 - f - 8. Let g(h) = -9*h**3 - 12*h**2 - 3*h - 16. Let m(d) = -3*g(d) + 7*u(d). Determine m(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**5 + 25*o**4\/4 - 10*o**3 - 10*o**2 + 40*o - 14. Factor k(c).\nAnswer: -5*(c - 2)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 416\/201855 or 1?\nAnswer: 416\/201855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 210.6 to zero decimal places.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 75 = 5*l, -4*l - 12*u + 54 = -14*u. Suppose -l*w + 6*w = -36. Solve -3*f + w = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**2 + 50*c**2 + 5*c**2.\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-18)*(-6)\/(-4). Let c = 1 + q. Let l = 0 + 2. Solve -3*k - 4*u - 5 - 16 = c, l*u = 4*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 13299872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1872 divided by -4\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 22*b - 93. Let s be a(-26). Solve -s*v = -8*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/4 - a**3\/6 - 4*a**2 + 3*a. Let n be p(-3). Solve -3*j = -7 + n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9985 - 54099 = -2246*h + 30950 + 46220 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4535874\/945 + (-7)\/15*10\/(-35). What is the highest common factor of 750 and f?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**2 + 220*j + 2*j**2 - 89829 + 89607.\nAnswer: 2*(j - 1)*(j + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/98 + -13*(-2)\/(-21). Let x be (-4)\/(3 - 1) + 4. Suppose 6 = -2*q + 5*a, 0 = x*q + 2*a - 2 + 8. Is q greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -65*j**7\/21 + 61*j**5\/60 - j**3\/2 + 379*j**2. What is the third derivative of d(i) wrt i?\nAnswer: -15600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95.378 - 0.022. Let z = a - -89.37. Let l = -0.03 - z. Is l less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 = -3*y + 16, -3*t + 4*y + 8 = 0. Suppose -3*g = -g. Let o be g + 8\/2 - 1. Put o, t, 2 in ascending order.\nAnswer: 2, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11a0 + 7?\nAnswer: -1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 47*g**2 - 137*g - 58. Let t be d(20). Let a(l) be the first derivative of -14 + 5\/2*l**t + 0*l. Let z(s) = 2*s. Determine z(a(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 6290 = -130*f + 384 for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3562?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -0.2. Let q be 320\/(-400)*(-10)\/28. Is q at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 9) in base 6?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 1842 = 6*q. Let z = -20263\/66 - q. Let r = z + -1\/6. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119 - 512892\/4320)*(-32)\/4?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*d + 4 = 0, -4*d = -5*r - 9*d. Suppose -4*f = -3*g + 26, -5*g + 4*f - r = -40. Solve 4*z + 2*j - g = 0, -3*j = -3 - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/(((-84)\/(-40))\/(-7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67059.\nAnswer: 3, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/206941744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let a(q) be the third derivative of q**7\/1008 - 11*q**5\/60 - 29*q**2. Let o(n) be the third derivative of a(n). Give u(o(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/24 + 2*h**2 + 8. Let k(o) be the second derivative of f(o). Let i(c) = 32 - 66 + 34 + 12*c. Give i(q) - 15*k(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1348 + -947. Let q(v) = v + 0*v - n + 405. Let y(m) = m - 1. Give q(w) + 4*y(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -187*n + 4324 - 7087 - 8457 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-21)\/(-28) - (-3)\/(-12)). What is the units digit of (618\/o)\/(45\/(-540))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*x - 3*s = 1292, 0 = -22*x - 18*x + 45*x - 4*s + 220 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4445.\nAnswer: 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8802*o**2 + 4603446*o - 22. What is y(-523)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*d - 3*d + 3*d**3 - d**3 + 2 - d**3 to the form v*d**2 + t*d**3 + p*d + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 0*n + 0*n. Let w(q) be the first derivative of -31*q**4\/12 + 320*q - 549. Let t(b) be the first derivative of w(b). What is k(t(d))?\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/600 and 8365\/(-2625) - (-6)\/2.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**3\/3 + 7*a**2\/2 + 8*a - 112. Suppose 0 = 2*q - q - 6. Give r(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5*g*g*g**(-1\/3)*g*g**(2\/19)\/g**(2\/3))**(-19\/6))**(-26) assuming g is positive.\nAnswer: g**585","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345\/138*(-18)\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2*l**2)*(-2*l + 3 - 3) + 2*l**3 + 9*l**3 - 2*l**3 + 2 + 2*l**3 - 2)*(-24*l - 3*l - 7*l)*(1 + 1 - 3).\nAnswer: 510*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffrqfrf. Give prob of picking 1 q and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3 + 13. Suppose f**3 - f**4 + 0 + 0 + 4*f**2 - 2*f**u = 0. Calculate f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 11*h - 32 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-4*sqrt(153) - sqrt(153)) - 5*5*sqrt(153))\/(((sqrt(9) - 5*(sqrt(225) + sqrt(9))) + sqrt(9) - (sqrt(9) + (sqrt(45)*2)\/sqrt(5) + sqrt(9)))*1))**2.\nAnswer: 425\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6151.274 + -6145. Round i to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 2. Let k be z(-7). Let f = k - 22. Suppose -2 = 3*i + 4, 5*i - f = -5*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289995, 1159962, 2609907, 4639830?\nAnswer: 7249731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 2 + -3)*2. Let n = -31 + 48. Suppose n = h - q. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -453 - -787. Let d = -334.22 + g. What is d rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**4\/5 - 54*b**2\/5 + 20*b - 48\/5 = 0.\nAnswer: -6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3765*h**2 + 4410*h wrt h.\nAnswer: 7530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50160 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5768.9*1.\nAnswer: -5768.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4871 is divided by 810?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 2\/5, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 5*q**2 + 2*q - 5. Let x be i(5). Suppose -l - 4*l - 40 = 5*o, 0 = x*l - 3*o + 32. Which is the third smallest value? (a) 0.2 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 38. Let h be 1\/1*(5 + t + -2). Let q = 39 + h. What is the highest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(((g\/(g*g\/((g\/g**(-2))\/g*g)))\/g*g)\/g*g)))**(-48)*g**(-2\/5)\/(g*g*g**1*g*g) assuming g is positive.\nAnswer: g**(-507\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 899 - 901. Calculate the remainder when ((-650)\/(-40)*g)\/(2\/(-20)) is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330\/2249 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 22 = -16. Suppose -n + 194 = 7*y - 12*y, -w*n = 3. Is y less than -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 7*k**2 + 2*k + 2. Let t be w(7). Let s(l) = -l**2 - 17*l + 43. Let q(m) = m**2 + m + 1. Let n(j) = 2*q(j) + s(j). Is 27 a factor of n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6d3 (base 14) to base 2\nAnswer: -10101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -39. Suppose 4*l + c - 61 = 0, 0*l - r = -l - 4*c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 3. Let y(i) = 2*i - 2. Suppose 11*b - 51 = -18. Calculate b*s(k) - 5*y(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 13*i**2 - 2 - i + 9*i**2 - i**3. Does 7 divide f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.32 + -23.42. Let i = 1.1 + -0.8. Which is the closest to w? (a) i (b) -4 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12407299 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.6 (c) 5 (d) -1\/9 (e) 0.011 (f) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 4*f. Let t be (20\/25)\/(4\/10). List the prime factors of -42*(f - t\/(-3)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32)\/(-336)*-14)\/((-4)\/(-42)). What is the hundreds digit of (-126)\/(-36)*(-4892)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6855, 6671, 6485, 6297?\nAnswer: 6107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6 + 22\/60. Let w be (0\/2)\/((-26)\/26). Which is greater: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*d - 1)*(-28*d + 138*d + 9*d) + (5*d - 3*d + 3*d)*(2*d - 2 + 2) to the form h*d + i + p*d**2 and give p.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/3)\/o)\/(o*o\/o**(2\/5)*o))\/(o*o**(-1\/2)*o*o\/(o**(1\/4)\/o)*o))\/((o*o*o**0)**(-47)*(o**(-2))**(-23)) assuming o is positive.\nAnswer: o**(2429\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 8106071.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1290\/(-1075)*(-5)\/4. Which is the closest to -1? (a) j (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -523, 583 in increasing order.\nAnswer: -523, -1, 583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**5\/60 + 5*t**2\/2 - t - 132. Let g(b) be the second derivative of o(b). Let k(c) = 75*c. Calculate k(g(f)).\nAnswer: -75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p + 8. Let z(w) = -3*w + 7. Let q(n) = -4*d(n) + 5*z(n). Let c be q(2). Let l be 8\/(-10)*(-20)\/8. Solve l*m - 4*t = -16, -c*m - 7 - 15 = -t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-577 - -578) + (1 - -9) + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rerrrehreerbere. What is prob of sequence hr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/2271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and 6644.\nAnswer: 385352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.10656mg in grams?\nAnswer: 0.08410656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 20075*z + 80814. What is o(-4)?\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -95*i**3 - 5725*i**2 - 240800*i - 672060. Let k(y) = -14*y**3 - 818*y**2 - 34400*y - 96009. Let n(d) = 3*g(d) - 20*k(d). Suppose n(x) = 0. What is x?\nAnswer: -80, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -6665786?\nAnswer: 1\/3332893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l - 1. Let t(g) = 6*g. Let y(s) = 4*t(s) + 5*v(s). Let h be y(-7). Let q be h\/(-4) - (-36)\/8. Solve 0 = q*d + 7 + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n**3\/11 - 64*n**2 - 1256*n\/11 + 416\/11 = 0.\nAnswer: -2, 2\/7, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 3080*m + 3 + 5.\nAnswer: -3080*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108853825?\nAnswer: 5, 23, 189311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:46 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-86 - -86)*2*1\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 460233684 or 460233683?\nAnswer: 460233683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22157258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26 - 40.9.\nAnswer: -41.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -61. Let k(z) = -6*z - 1. Let s(h) = 11*h + 1. Let v(c) = -c**2 - 5*c + 7. Let l be v(-7). Calculate d*s(g) + l*k(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*x - 1360. What is the units digit of (-9)\/((-108)\/x)*(-1 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -6) + 14 + (12 - 24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v - 1\/2*v**2 - 3. Let x be (-1 - 2)*(-4)\/6. What is o(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 + -2.8. Let d = 1.4 + o. Let l = 0.30064 - d. Round l to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 39320635420*i**4 + 313123477352*i**3 - 11532419376*i**2 + 3429472*i - 256 = 0.\nAnswer: -8, 2\/13369, 2\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -40. What is the third derivative of 10*s**m + 34*s**2 - 5*s**2 + 32*s**2 - 107*s**6 wrt s?\nAnswer: -12840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2391\nAnswer: 2\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - o + 318 - 60 = -3*o for o.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.01 + -26.21. What is the second smallest value in 2, 8, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 717 + -714. Suppose -18 + 75 = x*z - 3*n, 125 = 5*z + 5*n. Let l be -5*(-2)\/((-6)\/(-33)). Calculate the greatest common divisor of z and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2815731309?\nAnswer: 3, 1913, 490631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 8*u**2 - 8*u - 7. Let z be s(-7). Which is greater: 1\/4 or z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61504484 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 875 = 11 - 686. Calculate the least common multiple of 7 and n.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/817200 and 121\/136200.\nAnswer: 817200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16887968 to four dps.\nAnswer: 0.1689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -128005520 rounded to the nearest 1000000?\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241143321313 - -10?\nAnswer: -241143321303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -175, -182, -189?\n\"Answer: -7*w - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (28 - (22 + -12)) + -14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/9341082 and -74\/1071225?\nAnswer: 233527050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.93 - 34. Let u = 16.2 + -16. Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 170, 4, 5, -17.\nAnswer: -17, 4, 5, 22, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-1)\/((-18)\/22). Suppose 2*y = w + 73, -y - 3*w = -8*w - 50. Let p = -32 + y. Which is the third biggest value? (a) 9 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(((f*f*f**(1\/11)*f)\/f)\/f)*f)\/f**(3\/8)*f\/(f\/((f\/(f\/(f\/(f*f*f\/((f*f**3*f)\/f*f)))))\/f))*(f**(2\/7)\/f)\/f assuming f is positive.\nAnswer: f**(1121\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21914 - -29761. Calculate the greatest common divisor of w and 532.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0 + 0)*(-8 - 9*w + 8) - 3*w**2 + w**2 + 0*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:49 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 y when four letters picked without replacement from jdyyyyddydd?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00180637 rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*p - 10*p + 5*p)*(8*p - 12*p + 3*p + 14)*(p**2 + 18*p**2 - 4*p**2) as z*p**2 + n*p + v + u*p**3 + t*p**4 and give u.\nAnswer: -5250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 + 2*h**2 - 2*h - 8. Let z(o) = -o**3 + o**2 - o. What is -i(a) + 2*z(a)?\nAnswer: a**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 1. Let j(b) = 6*b + 7 - 2*b + 2*b - 8 + 4. Let c be 4*2\/(0 - 2)*1. Give c*j(a) - 11*d(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019 * 0.082.\nAnswer: 0.001558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*l + 26 = -7, -l = -r - 6. Let i = -5 - r. What is the derivative of 1 - 6*h - i - 3 + 1 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbtrtqttobbqpbqttqo. What is prob of sequence rt?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/85*5\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -232243 or -232241?\nAnswer: -232241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 5*x**2 - 4. Give h(-7).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48982 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2758 = 5*y + 2777, y = -3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-93)\/(-10))\/((-6)\/(-8)) and -85\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639067 to the power of 1\/2, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 13252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020201 - 202211120?\nAnswer: -121120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 22*f**2 - 74*f + 38. Let p be q(18). Sort 4, p, -12.\nAnswer: -12, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40036 is divided by 2669.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/m)\/(m**(-3)\/m))\/((m\/(m\/m**2)*m)\/(m\/(m\/m**(4\/5))))*(m**(3\/5)*m**6)**(1\/56) assuming m is positive.\nAnswer: m**(-23\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, p: 2, k: 2, o: 4}. Give prob of sequence okpk.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/28 (b) -4\/9 (c) 0.5 (d) -0.2 (e) 0.01 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/12 + (0 - -6). Suppose 2*r = -3*f + 84, -q*r = -0*r. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 1 - 45. Let i = 13 + s. Find the third derivative of -v**6 + 7*v**6 + 2 + 4*v**2 - i wrt v.\nAnswer: 720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3 + 3481306*i**2 - 1514931211232*i - 4544824965504 = 0. What is i?\nAnswer: -3, 870328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/4 + 281*m**3\/4 + 19597*m**2\/4 - 20445*m\/4 - 19881\/2.\nAnswer: (m - 2)*(m + 1)*(m + 141)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-43)\/(-5) - 18\/(-45). Let t(l) = -31 + 16*l - l + 6. List the prime factors of t(c).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5844 + -29222\/5. What is the closest to -2 in 3\/16, j, 0.1, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1 - -1*6. Let h(j) be the second derivative of -j**5\/10 - 3*j**4\/2 + 17*j**3\/6 - 10*j**2 - 41*j. Let i be h(-10). Which is bigger: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Suppose -2 = -4*t - 2*s + q, 5*t + 15 = 5*s. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - ((-57 - -33) + 5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 223*v + 6405. What is g(-49)?\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 31*a + 25. Is s(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14086512?\nAnswer: 2, 3, 11, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1cecd (base 15) to base 5\nAnswer: 11010333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*i = -13, 28 = 5*x - 4*i + 5*i. Solve 0*k - 5 = -x*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -15) + -140 - (1 - -11) - (-3 - -12)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*l**2 + 0 - 3*l**2 - 3 + 2 with respect to l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250112289 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -29.0021. Let x = 44.7979 + w. Round x to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276774.\nAnswer: 2, 3, 163, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 12*t - 16. Let b be m(13). Put 0, 4, b in ascending order.\nAnswer: b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219314.\nAnswer: 2, 53, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) 5\/21 (b) 1\/2 (c) 36 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -35) + -15 - -61?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c + 22856 - 23018 - 20*c - 28*c. Calculate l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 205 - 123. Let d = 998005351.9999882 - 998005434. Let n = d + p. Round n to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipjipppippqk. Give prob of picking 1 p and 2 i.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*c**2*g**3 + 152*c**2*g + 2*c*g**2 wrt g?\nAnswer: 444*c**2*g + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*j + 3. Suppose -3*m - m - z = -12, -z - 12 = -j*m. Which is the third biggest value? (a) -3 (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348570 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*j**2*k**3 - 2*d**3*j**2*k - 3*d**2*k**2 - 19*j**2*k**3 - 1752*j**2*k - 13*k**3 wrt k.\nAnswer: -6*d**3*j**2 - 114*j**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11113 - -3?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(sqrt(3645) + 1*sqrt(3645) + -1)*2*-1)**2.\nAnswer: -432*sqrt(5) + 58321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 8, j: 2}. Give prob of picking 3 p and 1 g.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 175787264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2)*-2)\/(39 + 19065\/(-492)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 - 41)*(q + 0 + 0) in the form i*q + v and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2956 (base 11) in base 9?\nAnswer: -5205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 7*k**4\/24 + k**2 + 284*k. Let h(p) = 28*p. What is w(h(j))?\nAnswer: 196*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c**2 + 1. Let g be a(-1). Let o = -1 - g. Suppose o = -p + 3. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*q + 2 = c, 2*q = 4*c - 12. Let k(s) = -s. Let v be k(c). Calculate the common denominator of (-1)\/v - (-106)\/24 and 57\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 484 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -17*d**2 - 6. Let z(h) = -51*h**2 - 17. Determine 17*u(k) - 6*z(k).\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**2*q**4 + 16*k**2 - 4*k*p*q**3 + k*p - 12*k*q**2 - k + 399*p*q**4 + 3*p*q**2 wrt q?\nAnswer: 48*k**2*q - 24*k*p + 9576*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -80, -13, 15, 5, 0.2.\nAnswer: -80, -13, -4, 0.2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131615 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:18 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 - 80 = 7*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423.2 - 601. Let a = s + 178. Are a and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -9 + (-1 - -3) + (-452 - -408).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/143 + 41\/13. Solve -s*q + q - 5*x - 3 = 0, -3*q + x + 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -33*h. Let p(u) = -107*u - 1. Give w(p(t)).\nAnswer: 3531*t + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*z + 23, 1165*p - 1293*p + 218 = -4*z - 438 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c\/((c**11*c)\/c))\/c)\/c*c)\/((c\/(c\/(c*(c\/c**24)\/c*c*c))*c*c)\/c))\/(c**(9\/10)*(c\/(c**(28\/9)*c))\/c))**34 assuming c is positive.\nAnswer: c**(20213\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (10 + (14 - -21) - 33).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 35*y**3 + 6*y. Suppose 36*k + 102 - 312 = k. Let b(n) = -210*n**3 - 35*n. Give k*b(p) + 35*l(p).\nAnswer: -35*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g - 3*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95644.\nAnswer: 2, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)*h)\/((h\/h**3)\/h))**(-16)\/((h**1)**(-19)*h*h**0*h*h**(5\/2)) assuming h is positive.\nAnswer: h**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11*b**2 + 8. Let l be (-2)\/((7\/(-35))\/((-3)\/(-6))). What is the hundreds digit of d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 12 - 22 = -2*i, i - 15 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0465 minus 19048.7?\nAnswer: -19048.6535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**6\/900 - c**5\/225 - 60*c**2 - 14. Let d(f) be the second derivative of v(f). Find a, given that d(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4060 * 0.03.\nAnswer: 121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 173358 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.227 (b) -0.3 (c) -1\/4 (d) -0.2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + 1\/(-4). Suppose -3*b + 3 = 3*g, t - 4 = g. What are the prime factors of 0 - -9 - (b - 6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*m - 140481 = 5*m - 115*m. Which is greater: m or -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose 22 = 3*r - c*r. Calculate the least common multiple of 14 and r.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/864*6 + 12\/(-96))*(-13)\/(-3)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u - 21 = -4*o, -4*o + 18 = 2*u. Suppose 46 = 3*g - 5*j, o*g = -2*j - 3*j + 10. What is the remainder when 13*1 - (-2 + 5) is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqqqqdddddqq. Give prob of picking 1 d and 1 q.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 - 2240*r\/9 - 26818.\nAnswer: 2*(r - 1219)*(r + 99)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4962*0.4.\nAnswer: 1984.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 312, 344, 376, 408, 440, 472?\n\"Answer: 32*h + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.422 times -2?\nAnswer: -4.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 9:07 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 321846 + 2*s - 321846 - 1635*s**3 + 617*s**2 wrt s?\nAnswer: -9810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 9 - 569*y.\nAnswer: -569*y + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) + 4*sqrt(252) - sqrt(252) - sqrt(252))*-3*4)\/(-6*sqrt(900)*2 + 2*sqrt(900)*-1))**2.\nAnswer: 324\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*g - 3*x, 0 = -2*g - 5*x + 6 - 1. Let c = 12 - g. Solve 9 - 1 = c*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 1 - 1 + 3*c - c - 4*c + 0*c + 0*c + 2*c + (0 - 2 + 3)*(1 - 2*c - 1) - 2*c + 1 - 1)*(167 - 167 - 8*c**2).\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*y**3\/2 + 370*y**2 + 106*y.\nAnswer: -y*(y - 106)*(7*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.026 + 1.226. What is the nearest to -13 in 1, r, 5\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*i**2\/3 - 204758*i\/3 - 20476\/3.\nAnswer: 2*(i - 10238)*(10*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-51) - (6 + 2387\/(-374)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**2 + 14*w - 249. Calculate x(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = -2*q, -3*k = -4*q + q + 12. Let h be (1 + (1 - 6))*k. Solve 5*n + 45 = 5*j, h*j - 7*j = -12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5387 + -32393\/6. Calculate the common denominator of 2\/6 + 106\/60 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 300 + 169 + 150 + (-s + 0*s + 7*s)*(0 + 8 - 4) as p + b*s and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69963*m + 68354*m - 184902 + 67445 for m.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3143 + 10703. What are the prime factors of h?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*c*m*s + 75*c*m - m*s wrt s.\nAnswer: -47*c*m - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 11:51 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2. Let y(u) be the first derivative of u**3\/3 - 104. Calculate y(w(p)).\nAnswer: 49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 2. Suppose 2*p + 56 = -5*p. Let m be (p + 3)*8\/10. Calculate the least common multiple of 10 and b(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2482658?\nAnswer: 2, 881, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*f - 7. What is the smallest value in 2, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 = -q, q + 4*q - 4*i = 51. Let u = -9 + q. Solve -1 = u*d - d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 14*u**2 + 13*u + 19. Calculate p(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u. Let w be c(-1). Put -0.3, w, -3 in decreasing order.\nAnswer: -0.3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -38. Let b(c) = 109*c + 8. What are the prime factors of b(n)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40314935 and 0.06?\nAnswer: -2418896.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - k**2. Let b(d) = -4*d**3 + d**2 + 3*d - 4. Let c(m) = -b(m) + 5*s(m). Suppose -5*o + 2 = 27. Calculate c(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8905*-61.8.\nAnswer: 240.4329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4 + 0*s**3 - 14*s - s**3 + 14*s**2 + 22. Let t be g(13). Solve 3*f - 8 = -2*j + j, 5*f = t*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50367621 by -3.\nAnswer: -16789207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122522501 (base 6) to base 10.\nAnswer: 2374885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 367956192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**0)**(-33)\/(f**(-2\/15)*f\/f**4*f)*(f**(-2\/7)*f*f*f)**35*(f\/(f**4\/f))\/(f\/f**(1\/8)) assuming f is positive.\nAnswer: f**(3391\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2 + 3 - 6 - 58*k. Let g be j(2). Calculate the common denominator of (g\/(-6))\/(-1*9) and -77\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9749817 micrometers in meters?\nAnswer: 0.0000009749817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170 + 75 = -w. Suppose 4*t - w = t. Let l = t + -224. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4 - 4. Suppose -d*r + 3*q + 25 = 0, -3*r + 3*q - 7 = -5*r. Suppose r*k - 60 = 5*k. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 36. Let s = p - 15. Let m = s - 10.0000063. What is m rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4560176 centuries in millennia?\nAnswer: 0.04560176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405 - 36261.\nAnswer: -36666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhhhhccchchhchhhh.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3984*f*g*p**2 + 49*f*g + 3*f*p**2 - 15*f*p + 11*f - 2*p**2 - 15 wrt g?\nAnswer: 3984*f*p**2 + 49*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11550 = 1958*v - 1256*v - 1227*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 411 and 5?\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 105, 135, 161, 183, 201?\n\"Answer: -2*t**2 + 36*t + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 372*u**6 - 2*u**4 - 922*u**2 + 2*u + 2.\nAnswer: 44640*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 3*o**2 + o. Let t be k(2). Let r = -503737 + 503732. Let h = 3 - 2. Which is the nearest to h? (a) r (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1039.000003261 - -1039. What is p rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88 - (1 + (-2)\/2). Suppose -4*h - 44 = -8*h. Calculate the highest common factor of s and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2363 + -2058. What is the highest common divisor of h and 2257?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 33. Let f = -0.051 + 0.451. What is the third biggest value in 1\/17, l, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -136100*c**4 - 929352 wrt c.\nAnswer: -544400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 209*l - 6. Let r(f) = -212*f + 5. What is -3*g(j) - 4*r(j)?\nAnswer: 221*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i - 372 = -26*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*u + 101*u + 33 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d + 47617 - 48085. Solve 145*j - 132*j = d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 82*s**2 - 2697*s\/4 + 756.\nAnswer: (s - 336)*(s - 1)*(s + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 16*y - 152. Calculate f(17).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648 is divided by 779?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264 is divided by 1044.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/1983194?\nAnswer: -3\/1983194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/23145 and 137\/30?\nAnswer: 46290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4358004?\nAnswer: 2, 3, 7, 29, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.59 + -2.41. Let m = -76 + 75.82. Let y = m + 0.48. Which is the second biggest value? (a) -2\/7 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6}. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2 (b) -1 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875*j + 1494*j = 19189 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17d6 (base 15) to base 9.\nAnswer: -7053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i + 6. Let c(w) = 8 - 2*w + 1 + 0 - 5 + 0. Let o(q) = -2*b(q) + 3*c(q). Let h(s) = -2 - 12*s - 13*s + 2. Determine o(h(k)).\nAnswer: 1250*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 637735 and 38?\nAnswer: 1275470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 33 = 5*j. Suppose -5*a - 12 = -37. Solve -5*v = -a*w + j, 2 - 12 = -4*w + 3*v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3898*r**2 + 3914*r**2 - 11709*r**2 + 3905*r**2. Let f(a) be the first derivative of -a**2 + 4. Determine z(f(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1649340 and 935?\nAnswer: 1649340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 17812158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1345, -5570, -12625, -22516, -35249?\nAnswer: -50830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69 - (-38 - -3)) + -1 + -8 + 32?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, l: 8, t: 1, f: 5}. Give prob of sequence ofto.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4782775 is divided by 27806.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -412?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 3*b**3 + 4 - 2*b**4 - 9*b - 3*b**4 + 9*b + (0*b**2 + b**2 + 0*b**2)*(0*b**2 + 0*b**2 + 2*b**2).\nAnswer: -3*b**4 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76787?\nAnswer: 31, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 - 42*d**3 + 621*d**2\/2 - 722*d + 546.\nAnswer: -(d - 3)*(d - 2)**2*(d + 91)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885015?\nAnswer: 3, 5, 71, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2161 + 3*g - 6*g**4 - 5*g**3 - 7*g - 2159 as j + h*g**4 + w*g**3 + x*g**2 + s*g and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - 2) + 3 + 3 + -1. Let x = -0.37 + -16.63. Let k = x + 13. Which is the biggest value? (a) 5 (b) 0.3 (c) k (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 18\/159209657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 44. Let y be 1*-2*(-5)\/2. Solve y*a - 14 = 3*h, h + 0*h + 5*a = c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(320)) - ((sqrt(5) - (sqrt(15)\/sqrt(3) + sqrt(5))) + -3)*1.\nAnswer: 15 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.3 + 14.1. Put 3\/7, c, -4 in increasing order.\nAnswer: -4, c, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030397 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.7 (b) -4 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/203 + (-316)\/1400)\/(91\/14 + -7)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*-1*-5)\/((sqrt(144) - -2*sqrt(144))*2 - sqrt(144)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*f**2 - 85*f**2 + 6*f**2)*(0 - 1 - 1 + (2 - 2 + 2)*(-2 + 7 - 4) - 1 - 3 + 3 + 0 + 3 - 1 + 1 - 2 - 2 + 1 - 1 - 1 + 2 - 3 - 1)*(2*f + 2 - 2*f - f).\nAnswer: -510*f**3 + 1020*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 120 + 4 + 2*2. What is the highest common divisor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(198)\/(sqrt(22)\/sqrt(2)))\/(sqrt(99)\/(sqrt(66)\/sqrt(6))).\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 1. Let a(c) = -3*c**2 + 12*c - 12. Let j(t) = a(t) - 4*x(t). Let q be j(-14). Calculate the highest common divisor of q and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -x + 2*l - 14, 0 = -3*x - 5*l - 70. Calculate the common denominator of ((-19)\/(-5))\/((576\/x)\/(-9)) and -7\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/21)\/((-3)\/((-126)\/(-60))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1825 and -0.1?\nAnswer: 1824.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3 + 3*j**3 - 7*j**2 - 2*j**3 - 8*j**2 + 9*j + 6*j**2. Let a be u(8). Suppose a*l = 9 + 21. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1136, 2\/23, -0.1, 3 in decreasing order.\nAnswer: 1136, 3, 2\/23, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5\/3 - 94732*z**4\/3 - 132572*z**3\/3 + 271566*z**2 + 397851*z + 113670 = 0. Calculate z.\nAnswer: -18945, -3, -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mee. Give prob of sequence eme.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0695? (a) 52 (b) 36 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 1. Let b(d) = d**3 + 2*d**2 - 5*d - 3. Let i be b(-3). Let v = 11 + -10. Let h be 1\/(0 + v)*i. What is l(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -590\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 1. Let x(i) = -126*i - 9. Give x(p(c)).\nAnswer: 630*c + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1608 + 81*p**3 - 830 - 778.\nAnswer: 81*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -543?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334, -657, -956, -1219, -1434, -1589?\nAnswer: -1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 + 37. Suppose 0 = -b + k + 475. What are the prime factors of b?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 1 (c) -1\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53083023 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*k = -14, -4*z = k + 4*k + 19. Let p be (-1)\/z - (2 + -4). Suppose -p*t = 6 - 0. Let i(d) = d**2 + d. Determine i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 - v. Let x(u) = u**2. Let p be -1 + -8 - 9\/(-3). Let s(n) = p*a(n) + 21*x(n). What is the second derivative of s(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -1999, 4, -1\/7, -29\/2?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349672 (base 11) to base 9.\nAnswer: 1034562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.3, 0.3, 27, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 2. Let s = 790 + -790. Let t be 6\/1*4\/(-6). Put s, y, t in increasing order.\nAnswer: y, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klfvlfvfvlkkk. What is prob of sequence vfff?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 7*f - 21. Let n be i(-9). Let q be -10*(12\/5)\/n. Suppose q*j - 11*j = -153. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 14*f**2 + 15*f - 59. Let z be y(9). Calculate the highest common divisor of 30 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - a)*(-6 + 1 + 3 + (1 + 1 + 2)*(5 - 3 - 3)) + (0*a + 3*a - a)*(120 + 74 - 63))*(3 + 1 - 2).\nAnswer: 536*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*(sqrt(567) - (5 + sqrt(567) + 1)) + -3)*-4)**2.\nAnswer: 3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-16) + -7 - 3\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 9*i - 5. Suppose 0 = -13*s + 20*s - 434. Suppose -7*f + s - 13 = 0. Let k(y) = 8*y - 4. Let h(n) = f*k(n) - 6*l(n). Let a(t) = -t. Determine a(h(r)).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + -3*sqrt(114)*-1)\/sqrt(6) - (sqrt(114)\/(-2*sqrt(6)) - sqrt(228)\/(sqrt(12) + sqrt(12)*-2)).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1497 + 1286. Put b, -1, 3 in increasing order.\nAnswer: b, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 76*g + 335 = -11*g. Solve -2*u - 5*b = -0*u + 9, -u - 3*b - g = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**2 - w - 10. Let r(d) be the second derivative of d**3\/3 + 400*d. Calculate -3*r(o) - 2*z(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 35*k + 915. Let l be o(-26). Solve 0 = 5*x - l*q - 30, -4*x - 3*q = 11 - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (sqrt(396)\/(sqrt(24)\/sqrt(2)))\/(-1*sqrt(99))).\nAnswer: -15 + 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629640227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4897 = 4*b, 2*x - 773 + 1999 = b. What is the highest common divisor of 1800 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27373580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 280015561 > 280015559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2039*x**3 - 4215*x**3 + 2140*x**3.\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4680 and 1170.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195225859?\nAnswer: 673, 290083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*b + 0*b**2 - 141*b - 3*b**2 + 332*b.\nAnswer: -3*b**2 + 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35354, -70625, -105896?\nAnswer: -141167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*w = -36, -2*a + 8 = -3*w - 21. Let v(z) = -a - 10*z + 5 + 0 + 3. Calculate v(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965241 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005868 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 21 = w + 3*l, l - 30 = -w. Calculate the highest common factor of w and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-3*-1*sqrt(88) - sqrt(88)) + sqrt(88) + sqrt(88)*2*-2))\/(1*(sqrt(72)*-3 + sqrt(72))*-2).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**4\/4 + 7*t**3\/3 - 2*t**2 - 7*t + 2. Let n be i(6). Let k(a) = -2*a + 7. Let d be k(n). Are d and -3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 7*g + g**3 + (2*g + 0*g - g)*(-g**2 + 2*g**2 - 2*g**2) - 3*g**3 + 0*g**3 + 2*g**3 - 2*g**3 + g - g)*(-2*g**2 + g - g).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/2 - 39*z**2\/2 - 30*z + 126 = 0. What is z?\nAnswer: -3, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.323 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 7*o**2 - 13*o - 17. Let t be c(-9). Let a = t + -258. Which is bigger: a or 45\/16?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4608 and -0.3?\nAnswer: 1382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/374 - 2\/17. Put p, -4, -2 in descending order.\nAnswer: p, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/(l**(5\/2)\/l)*(l\/(l\/(l\/(l\/((l*l**(-2\/3)*l*l*l)\/l*l)))))\/l**1)\/(l**8\/(l\/(l\/(l**2*l)))*((l**1*l)\/l*l*l)**(1\/11)) assuming l is positive.\nAnswer: l**(37\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -630 divided by 5.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-5))\/(12\/20). Let l = 4.214 - 9.214. Sort -1, -3, l, k in decreasing order.\nAnswer: k, -1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0, 233?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -u - 10*k - 37, 3*u - 30 = 3*k. Suppose -7*y - 2*a = -3*y - 626, -4*a + 310 = 2*y. What is the remainder when y is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2100, -15852, -52788, -124500, -242580, -418620, -664212?\n\"Answer: -1932*p**3 - 228*p + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*f**5 + 51*f**5 - 29*f**5 + (0*f + 0*f + f)*(f - f - 2*f**4) - 2*f**3 - f**5 + 2*f**3.\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*w + 206*w + 9346 = 5*x, 2*w = -3*x + 5600. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3894669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 613937660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w + 14. What is the remainder when w is divided by 2*(1 - 1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1101331, -2202669, -3304009, -4405351, -5506695, -6608041?\nAnswer: -7709389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aifl when four letters picked without replacement from ilzazzzvzlifzvz?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.005\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -11663454.\nAnswer: 1\/11663454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l - 3*l)*(-l + 4*l - 2*l) - 237*l**2 - 221 + 221.\nAnswer: -236*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**4\/7 - 3936*y**3\/7 - 964308*y**2\/7 + 1944392*y\/7 = 0.\nAnswer: -493, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28613?\nAnswer: 13, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12385897 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -30*i**3 - 21. Let p(k) = 3*k**3 + 2. Give 6*j(t) + 63*p(t).\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o**2 - 12*o + 53. What is the hundreds digit of h(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -19. Suppose x - d - 7 - 3 = 0, -5*x + 14 = 4*d. Calculate the highest common factor of x and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 + -1342. Let t = -1164 - -303. Let p = t - j. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0 (c) 5 (d) -112 (e) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*f - 63 + 73, 6 = -4*f - 5*r. Let j be ((-1)\/(-4))\/(f - (-77)\/(-84)). Let d(w) = -w - 5. Let m(o) = -5. Determine j*d(c) - 4*m(c).\nAnswer: -3*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33512 + -16412. Does 63 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*t + 306*t - 32*t**3 + 31*t**3.\nAnswer: -t**3 - 42*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -415 at most as big as 100.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2932 + -2884. Calculate the remainder when 3165 is divided by g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11827448 - 11827448 - 7779*b**2 as a*b**2 + o + x*b and give a.\nAnswer: -7779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(sqrt(13) + -1 + sqrt(13)) - sqrt(91)\/(-1*sqrt(7))).\nAnswer: -8 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(3 - (7 + -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (113 + 1)\/(6\/(-8)). Let b = 9 - a. Let r = b - 96. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12237548.\nAnswer: 2, 3059387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2. Suppose -8*p = -12*p + 8. Let o(y) = p*y - 3*y + 4*y + 0*y. Calculate o(i(f)).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152829 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 + 4*c**2 + 4*c + 6. Let f(b) = -b**3 - b + 1. Let u(d) = 4*f(d) - o(d). Let t be u(8). Suppose -t = -4*a - 42. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.1118 - -19.11179890283. What is a rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 9*i**2 + 181*i + 865. What is c(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 27 = -6*d. Let p be 6\/d*(-15)\/(-6). Solve -1 = -5*a + p*v, 0*a + 3 = -3*a + 3*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 2*j. Let a(n) = 16*n**2 + 17*n - 4. Give a(y) - 6*t(y).\nAnswer: 10*y**2 + 5*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8117000 rounded to the nearest 100000?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - t - 6 = -3, -3*p - 19 = -5*t. Suppose 2*i = -k + 234, -p*i - k - 456 = -6*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7746, -15263, -22778, -30291, -37802, -45311?\n\"Answer: q**2 - 7520*q - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 10*d**2 + 10*d - 16. What is b(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 187 (b) 0.2 (c) 0 (d) -0.2 (e) -396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*z**2 + 139*z**2 + 28 + 126*z**2.\nAnswer: -9*z**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r - 36*r + 1 = -g - 4 - 2, -10 = 5*g + 10*r for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13262359214.4 minus 0.06252?\nAnswer: -13262359214.46252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 17.85?\nAnswer: 33.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s. Let n(z) = -7617*z + 2. Give n(p(x)).\nAnswer: -22851*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 188\/(-846) - 61\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3\/3 + 7172*j**2\/3 - 115520*j\/3 + 154368 = 0 for j.\nAnswer: -1809, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 667*c**2 - 1189*c**2 + 486*c**2 + 449*c**2.\nAnswer: 413*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 225009, 226332, 227655, 228978?\n\"Answer: 1323*x + 223686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18807.\nAnswer: 3, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 77*r**5\/60 - r**4\/12 + 28*r**2. Let s(g) = -2*g. Calculate x(s(n)).\nAnswer: 308*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10687*n - c = -10682*n - 21, -2*c = -20*n + 78 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18500127 and 2456?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 162\/14117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**5\/20 + 4*x**4\/3 + 5*x**3\/2 - 6*x**2 + 3*x. What are the prime factors of p(-14)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + 0. Suppose r = 4*z + q, -4*q - 4 = 4. Suppose -2*u = -5*j - 7*u + 5, -15 = -z*j + u. What is the smallest common multiple of j and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*q + 1420*q**3 + 37*q**4 - 153*q + 177*q**4 - 1420*q**3 wrt q.\nAnswer: 2568*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 15*o + 38. Give x(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (84\/154 + 1646\/(-33))*-39. Find the common denominator of 2\/((-6)\/(-8) + (-2379)\/d) and -101\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13519*j + 13488*j = 62 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*(-2)\/2157*19749\/(-454) and 3\/8?\nAnswer: 5752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eecc when four letters picked without replacement from {c: 6, t: 2, e: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2074.05 + 1641. Let s = m + 433. Sort -1\/3, s, -2, -6\/11.\nAnswer: -2, -6\/11, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2240071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3920 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/396682 and -91\/18.\nAnswer: 3570138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -959*b + 130413. Determine g(136).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 441799777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7070346*w + 0 + 7071583*w.\nAnswer: 1237*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2272*(-3)\/54 - (-4)\/(-18). Suppose 3*t + 2*n - n - 163 = 0, 0 = 2*t + 5*n - v. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + 20) - -16 - (84 - 7)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(700)*-1 + 0))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*x + 6 = 7*q, 4*q + x = 19. Suppose 0 = -g + 5, q*g = 2*k - 0*g. Factor k*f**2 - 7*f**3 + 13*f - 18*f**2 - f**4 + 3*f.\nAnswer: -f*(f - 1)*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 30 = 6*s, 3969828*l - 10 = 2*s + 3969829*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 - 3. Let q = -16 + 19. Let t be (-1)\/q + (-80)\/(-24). Let z(o) = -2 + 12*o**3 + o**2 + 0 + 0 - 11*o**t. Determine -2*p(d) + 3*z(d).\nAnswer: d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:48 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 4*z)*(-3 - 1 + 5 + (-2 + 3 + 0)*(4 - 6 + 4)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.4 - 5.6. Let g = n + 14.8. What is the smallest value in g, 2, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 341907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.96 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10213212030 (base 4) to base 6.\nAnswer: -41541220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 275 = -4*g + 2*d, 2*d = 3*g - 208. What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 53\/765395 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 6 + 4)*(o - 2*o + 0*o) + 2*o - 2*o - 34*o + 1 - 1 + 2*o in the form u + c*o and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -7118?\nAnswer: -7116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*2*(-1)\/6. Let s = -80 + 37. Let a = 37 + s. Is a less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -7, -0.8, -2\/17, -2\/7, -62.8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254122961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/(1\/6). Suppose -4*c - 4*y = -32, u*c - y - 18 = 4. What is the least common multiple of 5 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58351343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 10. Let u(f) = -3*f - 8 + 8*f + 40*f**2 + w. Is u(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 8*d - 6*d - 2*l, 4*d + 4*l - 44 = 0. Suppose -5*s - 2*j + 0 = -15, -5 = -5*s - 4*j. What is the highest common divisor of s and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-16) - (-46978)\/(-144). Let a = -465 + 140. Let r = m - a. Which is bigger: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126715, -506849, -1140405, -2027383?\nAnswer: -3167783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(1\/12)\/o)\/o))\/((o*o\/o**(2\/9))\/o))\/(o**(-3\/5)\/(o*o**(-8)\/o)) assuming o is positive.\nAnswer: o**(-947\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -20. Suppose 5*o - 22 = o - 5*k, -2*o + r = -2*k. Suppose u = -3*i - 0*i + o, -3*i = 3. Calculate the lowest common multiple of 9 and u.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*l**3 - 7565*l**2 - 21625*l - 12750.\nAnswer: 5*(l - 255)*(l + 2)*(6*l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.12914 and -32370 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/756*(2 + 0)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -81, -93, -109, -129, -153, -181, -213?\n\"Answer: -2*g**2 - 6*g - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4225166 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 492, 0.2, -0.67 in decreasing order.\nAnswer: 492, 0.2, -0.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -27*f - 307. Let j be b(-18). Suppose 10 = 5*g + 85. Let d be 12\/g + j\/5. Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r**(1\/8))\/(r**(-4)*r**(-4\/7)))**(-8\/15) assuming r is positive.\nAnswer: r**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1633741\/300464 - 2\/18779. Let i be ((-114713)\/4)\/((-18)\/(-4)). Let c = i + 6370. Calculate the common denominator of c and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268261133 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*q + 2 + (7 + 2 - 3)*(2*q - 2*q - q))*(2 + 2 - 2 + (-1 + 0 + 4)*(2 - 5 + 1) - 1 + 3 + 0).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 89*o + 172. Let q be p(-2). Let m = 46 - 46.1. Which is the closest to m? (a) q (b) -1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85218432 divided by -107328.\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 1 g when three letters picked without replacement from kkkokgokkokkko.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 8)*(-1)\/3. Determine u, given that 1512*u**3 - 2548*u**4 + 18*u + 14*u - 183*u**k + 1372*u**5 - 185*u**2 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1, -18, -9, 2 in decreasing order.\nAnswer: 2, 1\/3, -1, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -27*x**2. Let l(c) = 39645*c. What is u(l(s))?\nAnswer: -42436602675*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 = t + t, 0 = 3*r - 4*t - 36. Let f be 0*4\/16 - -84. Let x = -12 + f. Calculate the highest common factor of x and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169 + 168.249. Let c = 0.141 + g. Let w = 0.60892 + c. What is w rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/374 and 95\/442?\nAnswer: 4862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1132.719403+1\nAnswer: -1131.719403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1551 + -1554. Let h(n) = n**3 - n**2 + 2*n. Let z be h(0). Put s, 18, z in increasing order.\nAnswer: s, z, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6801.\nAnswer: 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39555 is divided by 13180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 838\/30 + (-3343)\/(-50145).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d**5 - 14*d**4 - 36*d**3 + 186*d**2 + 10*d. Let n(k) = -k**5 + k**4 + k**2 + k. Let f(v) = -i(v) + 10*n(v). Factor f(u).\nAnswer: u**2*(u - 2)*(u + 4)*(u + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (55 - 140 - -47).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.306 rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a + 18*a - 11*a - 1.\nAnswer: 14*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -6 (b) 1\/4 (c) 2\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 1. Let z be 2 + (-4 - 2\/q). Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.15, -4769, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1\/6 (b) 1\/4 (c) 0.2542 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 1623.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/5*(-90)\/27. Suppose 8*z - h*z - 114 = 0. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -11010?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -93, 0.07, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + 2*m + 1 + (-23*m - 15*m - 30*m)*(0 - 4 + 2))*(-1 + 1 + 1) + (1 - 2 + 3)*(-2*m + 4 - 4).\nAnswer: 131*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3245977 rounded to 3 decimal places?\nAnswer: -0.325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -52*z - 52. Let d be k(-6). Let m = d - 159. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56604150 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/2, -37 in increasing order.\nAnswer: -37, -1\/2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41086 + 41083. Let a(o) = 24*o**3 + o**2. Let k be a(1). Is z <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = 2*g - 3*g, 4*g = -16. Suppose 2*f = -2*n + 4, -f + a*n + 10 = -2. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.3, 4, -4, 5, -2 in ascending order.\nAnswer: -8, -4, -2, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1, 4\/5, -0.5.\nAnswer: -5, -1, -0.5, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 188 + 553 = 5*j, -4*d - 3*j = -363. Let i be (1\/2)\/(1\/d). Calculate the highest common factor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*b - 3*b - 3*b + (-3*b + 0*b + 4*b)*(-5 + 2 + 2))*(2*b**3 - 5*b**3 + 2*b**3) in the form u*b**3 + y + p*b + r*b**2 + m*b**4 and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -0.3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*m**3 + 21*m**3 - 135*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5431100 to the power of 1\/2, to the nearest integer?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.0088, 4, 0, 6\/11?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/17 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11249134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(900) - sqrt(900) - sqrt(36))\/sqrt(12) + -3)**2 + (-3*(1 + sqrt(147) + 0))**2 + -4.\nAnswer: 252*sqrt(3) + 2660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 55 = -19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335 = -33*u + 74 + 262 + 22 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(112) - -2*sqrt(112))*4 + sqrt(112)*-1*1 + -2 + (sqrt(112) + -2 - sqrt(112)) + -1 + 3)**2.\nAnswer: -176*sqrt(7) + 13551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 7 = y + 17, 4*y + 16 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8566198858 + -8566208502.959977. Let b = m + 9644.9. Let o = -0.06 - b. Round o to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-15)\/75)\/((-4)\/(-120)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/20 - n**3\/6 - 3*n. Factor l(t).\nAnswer: t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6182 - 6186)*(-2)\/(-20)*2\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 15, 12, -3 in ascending order.\nAnswer: -4, -3, 5, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 i when four letters picked without replacement from {h: 6, p: 1, i: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 3\/2 (b) 47\/81 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185847490 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86958880 to the power of 1\/2, to the nearest integer?\nAnswer: 9325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5524902 or 1\/5?\nAnswer: 5524902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 359954, -2, 4 in ascending order.\nAnswer: -2, -1, 3, 4, 359954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 65*b + 398. Let i be d(-6). Solve 0*h = -i*h - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11994 divided by -69561?\nAnswer: -3998\/23187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3\/3 + 5*b**2 - 2*b - 4. Let a = 27 - -26. What is the remainder when a is divided by q(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 539*w**4 + w**3 - 11*w**2 + 696*w - 2 wrt w.\nAnswer: 12936*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1118*y**2. Let p(n) = 496*n. Give p(h(b)).\nAnswer: 554528*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/12 + m**4\/4 - m**3 - m**2 + 30. Let w(l) = -30*l**2 - 35*l + 35. Calculate 35*t(s) + 6*w(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12253785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36636 is divided by 7307.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2486.5 - 2486. Which is the nearest to -21? (a) -3\/5 (b) -0.09 (c) q (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 2659 - 2614 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 506 + -504. Let g = 45 - -35. Suppose -g = -4*k - w, -b*k = -0*k - 5*w - 40. Solve 3*u + 2*u - k = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - 4575?\nAnswer: -4561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 5, x: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1680337, 1680340, 1680343, 1680346, 1680349?\nAnswer: 1680352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 0.023, 604\/5, 0.5?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.99999901 - 38. Round z to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 64011.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4*s - 0 + 5 - 1, -25588*s - 22 = 5*z - 25586*s for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-55)\/(-25) - 1\/5. Let v be (-40)\/d*1470000\/(-3). What is v rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1.4. Let u = p + 1.4. Which is the nearest to -1\/5? (a) u (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14009815 is divided by 6791.\nAnswer: 6773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 274*i**2 - 24*i - 1245. Let d(v) = -548*v**2 + 60*v + 2491. Let k(c) = -2*d(c) - 5*s(c). Differentiate k(f) with respect to f.\nAnswer: -548*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*p - 46, 2*p + 8*t = 21 + 15 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61, -91, -121, -151?\n\"Answer: -30*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164691\/16310 - 4\/1631. Calculate the common denominator of p and 113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 7*h - 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(2\/3)\/k))\/k**0*(k\/(k**4*k)*k)\/(k**(-3\/5)*k)*k**(-6)\/k**(2\/11)*((k*k**3)\/k)\/((k**4\/k*k)\/k) assuming k is positive.\nAnswer: k**(-1361\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021211 + -11?\nAnswer: -1021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*(2 - 84\/(-3)). Suppose 2*f = -x + 20 - 2, 5*f - p = -x. Find the second derivative of x*l - 33*l**2 - 10*l - 19*l wrt l.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -857, -844, -817, -770, -697?\n\"Answer: m**3 + m**2 + 3*m - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, 9, 339, 1063, 2313, 4221, 6919, 10539?\nAnswer: 15213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(84\/(-3)))\/1*(-3262)\/(-3495)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 839.53817 rounded to one decimal place?\nAnswer: 839.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f + 2*f - 4*f)*(8*f + 23 - 23) + 2*f**2 + 0*f + 0*f + (-2*f - 5 + 5)*(f + 0*f + f) - f + 2*f + 5*f**2 - 3*f**2.\nAnswer: 88*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 16 = 3*q, 0*q = -3*s + 5*q + 20 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6993, -7009, -7051, -7131, -7261, -7453, -7719, -8071?\n\"Answer: -2*g**3 - g**2 + g - 6991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.115379 and 451.76832.\nAnswer: 451.652941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, g: 7, x: 2, p: 1}. What is prob of sequence gx?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - d + 11. Calculate the remainder when 30 is divided by n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10843*k*n**3 + 2*k*n**2 + 4*k*n - 62*n**4 - 85*n wrt n.\nAnswer: -65058*k - 1488*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 204 = -16*c. Solve c*i + 3 = -9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -75*l**3 - 149*l**2 - 6. Let b(w) = 59*w**3 + 147*w**2 + 5. Give -6*b(r) - 5*k(r).\nAnswer: 21*r**3 - 137*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 75*m**2 + 574*m + 81. Let u be y(-82). Solve -u*p = -38*p + 129 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-102) - (-132)\/(-34). Let p(m) = 5*m**3 + 11*m**2 - 11*m + 11. Let k(o) = 2*o**3 + 4*o**2 - 4*o + 4. Calculate g*p(h) + 11*k(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9812 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4602 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + 37*k + 10. Let o(q) = -2*q**2 - 25*q - 7. Let s(t) = 7*o(t) + 5*p(t). Let m be s(-7). Let u = -10 - m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -4. Let t = o - -33.04. Let u = -5.96 - t. Is u less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 12140, -2\/25, 1, 0.181?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 5*g + 6. Let r be l(-3). Is -55 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(((-276)\/414)\/(10\/(-9))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*k - 23, -2*k + 4*k + s + 1 = 0. Solve -k*j + 16 = -2*w + 4, 3*w = -j - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + 1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/60 + m**4\/6 + 2*m**3\/3 + 3*m**2. List the prime factors of d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -4 (b) -6\/13 (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 + 4*s. Let f(c) = -c - 7*c + 3*c + 4*c**2. Let b(v) = 4*f(v) + 5*x(v). Let t(z) = z. What is b(t(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 30 - (-5 + -2 - -9 - -5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/9 + 3344*v\/9 - 190298\/3 = 0. What is v?\nAnswer: 193, 1479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - 0*k + 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 39, -3, 9 in descending order.\nAnswer: 39, 9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 587648069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11542052 is divided by 102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 5*d - d**2 + 4*d - 5. Let t(r) = 2*r + 13. Let c = -4 - 5. Let w be t(c). Determine j(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 + 100*j**2 - 350*j - 698. What is r(5)?\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.313 and 129453460.\nAnswer: 129453460.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142114 is divided by 553.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -101687, -101779, -101871, -101963, -102055, -102147?\n\"Answer: -92*x - 101595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 178790, 357579, 536368?\n\"Answer: 178789*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.330734 + 282.009734. Let h = x + -282. Round h to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -1\/9 (b) 5 (c) 40782 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -68437, -119753, -171069, -222385, -273701?\n\"Answer: -51316*p - 17121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 k when four letters picked without replacement from uuukukuukkkkkkuuuuuk.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -20, -4, -6628 in descending order.\nAnswer: 6, 4, -4, -20, -6628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 307*i**4 + 11*i wrt i?\nAnswer: 3684*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v**4 - 10*v**4 + 5*v**4 - 2 + 6 - 5 + 2*v**4 + (-5*v + 3*v + v)*(0*v**3 + 2*v**3 - v**3) - 2*v**4 + v**3 - v**3.\nAnswer: -14*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*c**2 + 3*c + 586*c**3 - 3*c - 543*c**3 + 50*c**2 in the form y*c + f + j*c**3 + a*c**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 46026, 46028, 46030, 46032, 46034?\n\"Answer: 2*g + 46024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*x**4 - 1 + (0 - 1 - 2)*(3*x**4 + 5*x**4 - 5*x**4) + 0*x**4 - 10*x**4 + 0*x**4.\nAnswer: -21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m + 86 + 44 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 40 = 2*p. Suppose -5*l - p = -3*l + 3*x, -2*l - 14 = 4*x. What is the closest to 1 in 3, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 + 118. Calculate the highest common divisor of 38 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1526 - 1.08.\nAnswer: 1524.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 70*m - 1496. Let k be b(22). Solve 45*i = k*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 8*g - 5. Let y be d(6). Let p = y + -6. Let t = 5.05 + -0.05. Which is the biggest value? (a) p (b) t (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -22*f - 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/60 + r**4\/4 - r**3\/3 + r**2. Give t(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -4, 2, -7 in ascending order.\nAnswer: -7, -6, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 1594719.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 291*o**3 - 55*o - 36464?\nAnswer: 873*o**2 - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 12:20 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f - 7*f - 2*f + 15*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*a + 88 - 3 + 50 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + j + 23. Let q(u) = u**2 - 22. Let x(t) = 2*f(t) + 3*q(t). Let r be x(-6). What is the second derivative of 26*m - 622 + 622 + r*m**5 wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u + 1. Let g(t) = -175*t + 70. Let l(p) = -g(p) - 3*q(p). What is the derivative of l(w) wrt w?\nAnswer: 187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 13*q + 21. What is x(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2183318947.\nAnswer: 2183318947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7)\/(x**(-1\/11)*x))\/(x**21\/x*x*x\/x**(-14)) assuming x is positive.\nAnswer: x**(-2875\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 0*p - 2*p + (2325 - 2325 - 12*p)*(-1 - 1 + 3).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 3. Let u = -79 - -73. Calculate q(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2457\/50 + 346\/25. Let o = d + 35. Calculate the common denominator of (158\/32)\/(6\/8) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/2*2*-1. Let r be 34\/51 + i\/(-10). Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2. Let h(v) = 260*v**2. Determine h(y(n)).\nAnswer: 260*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - -0.0525?\nAnswer: -0.0275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 - (-63 - 64) - 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173120\/2379 - -948\/13. What is the common denominator of z and 61\/177?\nAnswer: 10797","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3466 - 3463. Sort -1, -9, 7, i, -2.\nAnswer: -9, -2, -1, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31309952?\nAnswer: 2, 331, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98058329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13575181249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 104270?\nAnswer: 104264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 16.377.\nAnswer: 19.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + -0.3. Let j = 0.68 + 0.22. Let n = 11262\/14065 + -2\/2813. Which is the third smallest value? (a) n (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 55 = 3*y, 11*y + 104 = 2*t + 16*y. Solve t*q - 33*q + 27 = -3*n, 0 = 3*q + 3*n + 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -105, -281, -529, -849, -1241, -1705?\n\"Answer: -36*b**2 - 68*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26210, 26230, 26310, 26480, 26770?\nAnswer: 27210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 divided by -167?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -3, 2, -1\/2 in increasing order.\nAnswer: -3, -1\/2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2838*p**3*x - 5*p**3*y - 28*p**2*x*y - 4*p*x*y with respect to y.\nAnswer: -5*p**3 - 28*p**2*x - 4*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - 105*p**4 - 86*p**4 + (-2*p + 0*p - 3*p)*(-4*p**3 - 2*p**3 + 3*p**3) to i*p + a*p**4 + l + n*p**2 + j*p**3 and give a.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 6*c**2 - 4*c - 4. Let z be y(-6). Suppose -6*m + 2*m = -3*u + z, -3*u + 5*m + 25 = 0. Let p(k) = k + 1. Calculate p(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.94 + 0.94. Suppose h + 5 - 4 = 0. Let o = -5.5 - -6. Which is the nearest to m? (a) 2 (b) o (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3214 - 4?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 + 15*z)*(9 + 1 + 6) + 3*z + z - 3*z to the form k + s*z and give s.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10933728*j**4 - 10424247*j**2 wrt j?\nAnswer: -262409472*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/3 (b) 0.2 (c) 3923\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 39*z**2 + 40*z + 37. Calculate m(-38).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/4 + 49*j\/4 + 51\/2 = 0. What is j?\nAnswer: -2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**4 - 1542462*q**3*s - q**3 + 1209*q*s + 1190*s wrt q.\nAnswer: -12*q**2 - 9254772*q*s - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -l - 9 - 9, -3*y = 2*l - 9. Let p be l\/(27\/(-6))*297. What is the highest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Suppose -s + 5*r = -3 + 1, -3*s + 6 = -2*r. Solve -3*w + 4 = o*m - 15, m + s*w - 11 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m + 225 - 315. Let g(f) = f + 5. Let b(a) = 1. Calculate m*b(q) + g(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 q when three letters picked without replacement from {a: 5, m: 2, q: 6, p: 1, e: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -0.08711.\nAnswer: 1.13243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 5*q - 13. Is p(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -70. Let i = 5701888\/80535 - 2\/16107. Let c = i - 71. What is the closest to 2\/3 in -0.12, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -589, -1183, -1787, -2407, -3049?\n\"Answer: -h**3 + h**2 - 590*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 7. Is g bigger than -11\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (2 - 1)) + -13 + 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16546506 + -8648087. Suppose -4*p - 7025430 = 5*b - 26771486, 5*p - c = -2*b. Let g = b - 1849212. What is g rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 + 1 + 4*q - 1.\nAnswer: 8*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*s - 4*w, 3*w - 13 = -0*s - s. Let b = 5 - -7. Let i be ((-42)\/(-4))\/(2\/b). Calculate the highest common divisor of s and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - -2. Let t = 23 - a. Suppose p = -t*x - 9, p + 3*x + 13 = -x. Calculate the remainder when 7 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4 + 4*l - 7 + l + 3*l.\nAnswer: 8*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320228 and 1212702.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 11*y - 26 - 50 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 = 0, -4*k + 172 + 379 = -v. Suppose -k = 5*c - 8*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (9 + -1 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 9. Let r(i) = -i**2 + i + 4. Let z be r(o). Let f = -3.1 - -3. Which is the nearest to f? (a) -2\/5 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68150911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 101*v**2*w**2 - 2*v*w + w**2 - 38 wrt v?\nAnswer: 202*v*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**3 + 85*q**2 + 12*q - 20. What is p(-12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)\/u*u)**(-7\/8)\/((u**(4\/3)*u)\/(u*((u\/(((u*(u\/(u*u**(2\/3)*u))\/u)\/u)\/u))\/u)\/u)) assuming u is positive.\nAnswer: u**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*-1*(6 - 24)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 - -103) + -2 + 3 + 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 5*y**3 - 37*y**2\/2 + 8*y. Find the first derivative of t(x) wrt x.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -14*(52\/(-8) - -5). Suppose 7*x - u*x = -56. Solve -3*h + x*h - 2 = -z, -7 = h - 2*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-2)*f)*f*f**(-8)\/f)**(-34)*(f\/(f\/(f*(f\/(f*f**5*f))\/f)))\/(f*f**2)*(f\/(((f\/f**(-2\/3))\/f)\/f*f))**(17\/4) assuming f is positive.\nAnswer: f**(2765\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.008 (b) 4 (c) 0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10076 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**3\/4 - 113315*d**2\/2 + 2568057845*d\/4 = 0. Calculate d.\nAnswer: 0, 22663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 2*s - 2*s - 8*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 - 46. Suppose 46*o + 12 = 50*o. Solve -o*h - t = -5*i, 0 = -i - 3*i + h + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419953807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 + -144. Suppose 2*n = k - 16, -n + 80 = t*k + 4*n. Solve 0 = -3*z - z + k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a factor of 542709505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 3*n**7\/70 + 17*n**4\/12 - 269*n**3\/3 + 38*n**2 - 8*n. Find the first derivative of s(t) wrt t.\nAnswer: 36*t**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-975)\/10)\/(-5) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2283744 = 181*b - 1124305. List the prime factors of b.\nAnswer: 19, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*2)**2*-4 - (sqrt(684) + (sqrt(684)*1 + sqrt(684))*-3) - ((sqrt(684)*2)**2*2 + sqrt(684) + 4 + (sqrt(684) + 2 + sqrt(684))**2))*-6.\nAnswer: 144*sqrt(19) + 114960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.4066261787 and -55?\nAnswer: 61.4066261787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + 0*j**4 - 4*j**4 + (-2 + 2 - 4*j**2)*(j**2 + 4 - 4).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a19 + -2a8?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 6*s**2 + 4*s + 5. Let h be t(4). What is the nearest to h in -0.1, 0.5, 1\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1480179 and -589.6.\nAnswer: -1480768.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -429.4877 to 1 dp.\nAnswer: -429.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1 - q - 3 + 4. Suppose -5*w + 13 = 4*f, 32 = 4*w - f - 3*f. Suppose -w*x - 30 = -5. Let z(k) = -6*k + 1. What is x*t(a) + z(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2))**(-5\/4)\/(s**(1\/12)*s*s\/(s*s*s**(-2\/5))) assuming s is positive.\nAnswer: s**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 725131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 421680353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -210*q**2 - 162*q + 0 - 177\/2*q**3 - 12*q**4.\nAnswer: -3*q*(q + 2)**2*(8*q + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 3828.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1856)\/(-192) + (0 - -1)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-368)\/(-24) + -14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481984 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -73*h**4\/3 - 19*h**3\/6 - 40*h**2. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 364. Let n(s) = 5*s + 1457. Calculate 2*n(t) - 9*q(t).\nAnswer: t - 362","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -22 + -34 - (1 + -52)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*h - 4*p, 12 = -5*h - 2*p + 2. Suppose 2*n + h*n - 108 = 0. What is the second derivative of -n*l - 5*l**4 + 23*l + 16*l wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -547*t - 752. Is 110 a factor of g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) -6671 (b) -2 (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9038 is divided by 44.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -380486 + 380488. Let 2\/3*g**2 - 2\/3*g**5 - 2\/3*g**4 + 0 + t*g**3 - 4\/3*g = 0. Calculate g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 16 = 0, 10*b + 7 - 20 = 5*w + 44 - 2 + 9 + 26 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -5, 0.5, 0, 2979499, -1\/2?\nAnswer: 2979499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262694 is divided by 1270.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/7)\/((-768)\/126 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*f - 18617 = -24428 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -8.1. Let y = 7 - h. Which is the nearest to -1\/2? (a) -0.3 (b) -3\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 15*a**2 - 1291*a + 10414. Give j(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(4\/6*(-180)\/(-16))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f + 16. Is 8 a factor of w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/15*3 + 10. Solve 4*k = -v*j - 27, k - 3*j = -j + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(68))**2*3.\nAnswer: -36*sqrt(17) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/x)\/x**(-4)*(x**(-6)\/x)\/x**(-5)*x**(-3\/4)\/x**(-8)*x*x**(-7)*x*x**2 assuming x is positive.\nAnswer: x**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984660 is divided by 8637.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 3, e: 1, k: 1, t: 1}. Give prob of picking 1 e, 1 k, and 1 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4 - 18*q**3 - 83*q**2 - 108*q - 44 = 0 for q.\nAnswer: -2, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41.1472 + -4.4652. Round p to zero decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from didid.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**4 + 11*i*r + 217*r + 1 wrt i?\nAnswer: 12*i**3 + 11*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8347.903ml to litres.\nAnswer: 8.347903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 + -0.19. Which is the nearest to j? (a) -3 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*v + 7, 5*v = 2*p - 2 - 11. Let n be (-24)\/9*(-21)\/(-168). Which is the fourth biggest value? (a) -1\/5 (b) n (c) p (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -19*u + 220. Calculate z(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/646 and 13\/772376.\nAnswer: 249477448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:17 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*h - 318. Let v = 55 - h. Factor 180\/11*l**v + 54\/11 - 2\/11*l**5 + 2*l**4 - 92\/11*l**3 - 162\/11*l.\nAnswer: -2*(l - 3)**3*(l - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**4 - 5624*z**3 + 1913680*z**2 + 44633568*z + 81567360 = 0.\nAnswer: -20, -2, 714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -431 + -16571?\nAnswer: -169a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -1) + -3 + 0. Let w be (5 + -2)*c*-1. Suppose -r - w*r + 64 = 0. Calculate the highest common divisor of r and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, a: 4, m: 1, o: 4, f: 3}. What is prob of picking 1 x, 2 f, and 1 o?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h + 2. Let q be a(-2). Suppose 0 = -r + 5*m + 17 + 4, -2*m + 18 = 2*r. Let v = r + q. What is the second smallest value in -0.5, -1\/5, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(-12) - 2\/12. Let n be 3*(y - (-22)\/6). Let g(l) = l**2. Let i(h) = h + 2. Let p be ((-1)\/(-3))\/((-1)\/(-3)). Calculate n*g(c) + p*i(c).\nAnswer: 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -22*q + 8. Let i be n(-4). Suppose 8*b - i = 4*b. Suppose -2*h + b = 3*f - 72, 4*h - 64 = -2*f. What is the remainder when 62 is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 11000 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (-15)\/(-6))*6. What is the tens digit of ((-34)\/(-6))\/(l\/(-27))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16639, 18083, 19527?\nAnswer: 20971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.44962412 rounded to three dps?\nAnswer: 42.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-4)\/(-588)*6). Let n be -2 + 8\/3 - r\/42. Suppose 2*d - 6*d = -2*p - 10, -2*d - 5 = p. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d**2 - 15*d + 5. Let z(r) = -r**2 + r. Let n(k) = x(k) + 6*z(k). Is n(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + 6. Let j = -22 + b. Let i = -12.91 + j. Is i bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 49. Which is the third smallest value? (a) 7 (b) -0.2 (c) -52 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 21*n**2\/2 + 509*n\/4 + 357.\nAnswer: (n + 4)*(n + 17)*(n + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {z: 2, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 12*z**2 + 4855*z - 58157. Calculate c(12).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 619071.7 millilitres?\nAnswer: 619.0717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 48795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3109*m**2 + 22*m**3 + 6216*m**2 - 3108*m**2.\nAnswer: 22*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3478420 and 293400?\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/14)\/(1\/(-10)). What is the common denominator of (-8)\/h - (-178)\/(-330) and (14\/(-84))\/(14\/220)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2471 + 120?\nAnswer: 2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854 divided by -618?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7 - 5 = 0. Let h = 80 + -62. What is the remainder when 34 is divided by (l - 3)*h*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.066 + 0.6.\nAnswer: 9.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 174\/36)\/(2\/(-9)). What is the third biggest value in 0.3, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -403, -804, -1203, -1600, -1995, -2388?\n\"Answer: y**2 - 404*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2605283 at most -2605283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 595269089427*s**2 + 53453640*s + 1200 = 0.\nAnswer: -20\/445447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one quarters of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*q - 392 = 0, w + 2*q = 2*w - 101. Suppose 212 = w*n - 93*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f = 4*h + 24*f - 4012, -4*h - 5*f + 4048 = 0. Calculate the remainder when h is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*s = 38, 2833 = -2*p + 3*s + 2825 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*q - 62*q - 67*q - 61*q - 20*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = x + 71493 + 13828511, -2*k = 4*x + 55599996. What is x rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2460 by 615.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372413217 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 140 - 115. Let b(j) = g*j**2 - 3 + 5 + 9 - 50*j**2 - 11*j. Calculate b(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 10:04 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000671583 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 at least 3372\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4\/8 - 3*r**3\/2 + 3*r**2\/4 + 3*r\/2 - 9\/8 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 6*z = -844. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -6 - (0 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*b + 6, 4*z + 6 = z + 2*b. Let x be 2 - (-6)\/(-3) - z. Suppose x = -5*i + 29 + 11. What is the highest common factor of i and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131178 divided by 6?\nAnswer: -21863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12700 - 48*d**2 - 25411 + 12711 - 99*d**2.\nAnswer: -147*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11827*v**2. Let x(c) = 3*c. What is l(x(k))?\nAnswer: -106443*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 287 = -3*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*2\/6*1. Suppose -t + 2 = b. Let r(i) = -8*i + 1. Give r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-1*7)\/((-8954)\/(-121))).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/2253?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -1\/77, -0.5, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25059719 and 10856?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 324471 = -8*x + 14*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 0.1893.\nAnswer: 0.013251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.3 (b) -1\/10 (c) 21\/2 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 380583.\nAnswer: -380578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 150061881 + -11?\nAnswer: 150061870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1229 bigger than -1229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**5\/20 - 5*n**4\/6 - 10*n**3\/3 + 8*n**2 - 4095*n. Give k(12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206.03 + -206. Let f = q + 1.97. What is the nearest to 9\/7 in 0.1, -0.05, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.05 and 0.4?\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 4\/17, 5?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 15 = -3*p, -2*t = 2*p + 1 - 11. Suppose -x = -4*c - 10, -p*x = c + 2*c + 19. Let l be 15*(-5)\/15 + 6. Put x, l, 2, 3 in increasing order.\nAnswer: x, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42017 divided by 10?\nAnswer: -42017\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(-4*-1*sqrt(180)*4 + -1 + (2 + 1 + sqrt(180)*-2)*-2))**2.\nAnswer: -12240*sqrt(5) + 648289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 9*f - 11. Let h(n) = -2*n**2 - 12*n + 10. Let p(x) = -3*h(x) - 4*o(x). Let z(u) = -3*u**2. Determine z(p(m)).\nAnswer: -12*m**4 - 168*m**2 - 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4627 + -1888. Calculate the greatest common factor of 132 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1012610 and 3270.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = v - 10, -19*f = -3*v - 21*f + 8. Solve -18 + 3 = 5*q + 2*u, -v*q - 12 = 3*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10846389 and -3.\nAnswer: 32539167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*c - 469 + 7 - 133 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 110.27303 days?\nAnswer: 15.75329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, u: 1, s: 2, i: 14, k: 1}. Give prob of sequence ikuc.\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 46*q - 1502 = 47*q, -2*q - 2504 = -5*u. Calculate the remainder when u is divided by 217.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62363, -124711, -187079, -249479, -311923, -374423, -436991?\nAnswer: -499639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10892048 is divided by 338.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 - 10) + (-5 - (-26 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505718.4 kilometers to centimeters.\nAnswer: 50571840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -15\/2*l**2 + 0 + 0*l**3 + 0*l**4 + 3*l + 9\/20*l**5. What is the first derivative of g(z) wrt z?\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n - 200. Suppose 4*y = 3*l + 2080, 0 = 4*y - 2584*l + 2585*l - 2080. What is the greatest common divisor of n and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42222*y - 635782?\nAnswer: 42222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1449 + 36*x - 1449 + 43*x + 41*x - 119*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414 - -14110?\nAnswer: 13141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4239, 8473, 12707, 16941, 21175, 25409?\nAnswer: 29643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(300) - sqrt(300))*3)**2 - (-1 + sqrt(300) + 3 + sqrt(300)))*6.\nAnswer: -120*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + d + 1. Let n(a) = a**2 - 6*a + 7. Let y(h) = -n(h) - 2*p(h). Let x be y(-5). Which is bigger: x or -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -62.24, -3, -0.027, -5?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 329969 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38324 and 9490416.\nAnswer: 104394576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (0 - -4) + 106 + -93\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r. Factor r*t + 3*t**2 + 3*t**2 + 2*t.\nAnswer: 2*t*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - t + 1. Let g(a) = 15*a**3 - 2*a**2 + 1. Let m(u) = g(u) - j(u). Let h = 15 - 13. Suppose 2*k - 4*k = -h. Give m(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472 and 60401368.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 4*c - 3. Let q be y(4). Does 9 divide (-2)\/q*(-3672)\/(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3496567 and 1471?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 422513, 422521, 422531, 422543?\n\"Answer: n**2 + 5*n + 422507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c = 10. Suppose 0 = -4*f, 0 = -4*z - 0*z + f. Suppose z = -9*l + 11 - 11. Solve l*a - c*a + 4*b = 2, 0 = -4*a - 2*b - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -1\/5 (c) -6 (d) -4083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/180 + 11*t**4\/24 + 12*t**2. Let i(d) be the second derivative of r(d). Calculate i(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-13)\/d*(d*d\/(d\/d**(1\/4))*d)\/d*d**(-2)\/(d**(-6\/7)\/d) assuming d is positive.\nAnswer: d**(-361\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12686?\nAnswer: 2, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/99 + -503\/198. What is the nearest to 3 in 2, -3\/7, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 5. Let x = -7 + 9. Let a be x\/(-10) - (-12)\/(-15). Let s be ((6 - 3) + -3)*a. Calculate n(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 112?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -350, -15839?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943832517?\nAnswer: 3, 5021, 62659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 10:42 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9395? (a) 3\/7 (b) -2 (c) -22 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 248\/(-7*(-5)\/7560)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15763*d**2*f - 4*d*f + 375*f + 6 wrt d?\nAnswer: 31526*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647052 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 372*v**2 + 2356*v + 1980.\nAnswer: -4*(v - 99)*(v + 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*h + 380 = 259*h - 71 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 8, j: 5}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -72 in increasing order.\nAnswer: -72, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 513717 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19570\/31312*(-384)\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1231 + -1234. Suppose -2*i = 3*p + 1008, 4*i + 93 = p + 429. What are the prime factors of (m\/6)\/(3\/p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = -4*l. Put l, -5, 2 in decreasing order.\nAnswer: l, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 25. Let l = k + 17.4. Let q = l - 2.348. Round q to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 14 - 4 = 0. Suppose -3*a + 5*m - 32 = 0, -4*a - 3*m + 4*m = 54. Let b be a\/u + 3\/9. Let w(v) = 3*v + 3. What is w(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/60 and 111\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 13*o**2 - 8*o - 14. What is a(12)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385.9332 rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + z + 2*z)*(2*z**2 + 2*z**3 - 2*z**2) + (z**2 + z**2 - 3*z**2)*(-3*z**2 + 2*z**2 - z**2).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*u - 10, q + 2*u + 0 = 4. Let m be (4 + -4 + q)\/(-1). Factor -1\/3*g + g**2 + m.\nAnswer: g*(3*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-180)\/(-424)) + 1\/18*4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 3?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*m - 110 = 8*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (558\/216)\/31 - 161280002\/24. Round n to the nearest one hundred thousand.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 44. Suppose -4 = -2*w + p + 2, -3*p - o = w. What are the prime factors of (4\/6)\/w - (-179)\/3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:56 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atlqlq. Give prob of picking 1 q, 1 a, and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4000629*-0.4\nAnswer: 1600251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2522 - -73?\nAnswer: -2427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -2\/9 (c) 7\/516 (d) -2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, 14, 52 in ascending order.\nAnswer: -138, 14, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 41*g - 125*g + 35*g - 10 + 40*g + 23.\nAnswer: -4*g**2 - 9*g + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -119*c**2\/2 + 4*c + 444. Let s(r) = -2*r**2. Give s(i(l)).\nAnswer: -28322*l**2 + 1904*l - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61628 divided by 994?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19028, -19043, -19058, -19073, -19088?\nAnswer: -19103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20368 is divided by 971.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**4 + 7196*x**3 - 4000932*x**2 + 712827540*x - 2102668200 = 0.\nAnswer: 3, 435, 926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1087*f**2 - 10*f - 2. Let c(n) = 89133*n**2 - 825*n - 165. Give -2*c(o) + 165*d(o).\nAnswer: 1089*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-126))\/(-8)*-6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4837795?\nAnswer: 5, 41, 23599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3 + sqrt(468))*-3)**2 + 3*-1*sqrt(468).\nAnswer: -342*sqrt(13) + 4298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c5 (base 13) in base 6?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1857234, 1857239, 1857244, 1857249, 1857254?\nAnswer: 1857259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/9 and 2080\/(-128)*(-2)\/(-18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o + 6. Let l(g) be the second derivative of 3*g**3\/2 - 11*g**2\/2 + g - 10. What is 6*l(d) + 11*q(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:39 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5997642 divided by -3\nAnswer: -1999214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*g**5 + 35*g**5 + 20*g**5 + (-2*g**2 + g**2 + 3*g**2)*(0*g**3 + g**3 + 2*g**3) - g**4 + g**4 + g**5.\nAnswer: 51*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1786435298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4) - (-3)\/12*-6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 6459210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.07 (b) -6 (c) 9\/785 (d) -1\/2 (e) 2\/15 (f) 0.2 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348 - 2634 + 1790 - 20*v**2 - 486*v + 2*v**3 = 0.\nAnswer: -12, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 256\/(-18) - 8\/(-36). Is 17 a factor of (-28)\/(3 - o\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-4 - (1 + (-7 - -6)) - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, k: 1, y: 2, e: 4, b: 1, i: 1}. Give prob of picking 1 y and 2 o.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, and 1 k when three letters picked without replacement from {w: 1, f: 8, k: 6}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y + 0*y)*(7*y - 6*y - 2*y) + 3*y**2 - 17*y**2 + 9*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 77?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13353225 - 2520?\nAnswer: -13400145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 29 + 103 = 3*k, 5*z = -3*k + 129. Let q be -2 - k\/(-9) - 3. Which is the closest to q? (a) -4\/5 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000909239747 rounded to 7 decimal places?\nAnswer: 0.0009092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 58 - 131 = 0. Suppose -3*q = -k - 13, -3*k + 26*q = y*q - 11. Which is the closest to -0.4? (a) -1\/2 (b) k (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4599078763 + -0.723?\nAnswer: -4599078763.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*-0.1\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {q: 1, z: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 171*i**3 - 101*i**3 - 3*i**2 + 5*i**2 - 68*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4188 = -2*l + 5*l, l = 4*y + 1412. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*y + 12 = 0, 2*i - 5*y - 20 = -10*y. Let h(m) = -m**3 - 7*m**2 + 9*m + 11. Let t be h(-8). Let j = i - t. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 46 = 4*x, 91 = -x + 304*r - 295*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*i + 12, -f - 40 = -5*i + 4*f. Solve -2 = n - p, -2*n - i*p + 26 = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -782 + 842 - 816\/14.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/23 + 8128*f\/23 + 790210\/23.\nAnswer: -2*(f - 4159)*(f + 95)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12665 - -4?\nAnswer: 12671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 17. Let a be 172*(-7)\/154 - -6. Which is greater: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 0*p**2 + 0*p**2 + 5*p**2. What is o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-4))\/(-1*5*(-183)\/9150)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*d - 5*g - 44 = -94*d, -d = 5*g + 16. Let q(h) = 10*h**3 + 2*h. Let p be q(-2). What is the remainder when (-1 - (p + 2)) + 1 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i. Suppose -2*f + f = i. Suppose 4*z + 2*a - 6 = f, 0*z - 9 = -z + 2*a. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 2*k - 13 = 0, -5*d + 4*k - 21 = 0. Let y = -177 + 326. Let x = 153 - y. Sort 2, d, x.\nAnswer: d, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087187408?\nAnswer: 2, 3, 1787, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 239917115 to the power of 1\/2, to the nearest integer?\nAnswer: 15489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01665705 rounded to 4 dps?\nAnswer: -0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zssozssaxssaxzaaxsz. Give prob of picking 1 s and 3 z.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.142 (b) -1717 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i**2 + 185*i + 592. Give v(-13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 711622040 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.194588 to 2 dps.\nAnswer: -18.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/45)*b)\/b)**(-37)*b**(-14\/9)*((b**(-2\/33)\/b)\/b*b)\/b assuming b is positive.\nAnswer: b**(-6973\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.35 + 0.35. Let t = u + -1. Let w = -1.3 - t. Which is the second smallest value? (a) -2\/11 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68124 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-145)\/(-116))\/(5\/(-16)*52\/(-91))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 2*z + 4. Let n be o(-3). Let c(u) = 41*u**3 + u**2 - 2. What is the units digit of c(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*g + 27, -10 = 2*k + 8*g - 9*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23123390 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17350.5 millennia in decades?\nAnswer: 1735050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 151. Let s = z + 283\/6. Let k = 81 - 85. Which is the smallest value? (a) k (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 153\/28 - 40\/7. Let t = -687\/7 + 98. What is the nearest to -1 in 0.4, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -35*8\/(-20) - 5*-2*(-15)\/(-75). Let n be ((-6)\/(-4))\/((-3)\/20). Put x, 2, n, -2 in ascending order.\nAnswer: n, -2, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 211 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 11:33 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200 + 353 - 153 - 29*q**2.\nAnswer: -29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10001110?\nAnswer: -10010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -27) + -25 + 10 + -53 - -4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0154946t to micrograms.\nAnswer: 15494600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 1)*(39 + 35 - 3917*a - 150 + 39 + 37) to c + r*a and give r.\nAnswer: 11751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.339077 centimeters to micrometers.\nAnswer: 73390.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71106.\nAnswer: 2, 3, 7, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3 - 4*a**3 - 4*a**3 - 10*a**2 wrt a?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10036525 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6943 - -27773\/4. Factor r + j*r**2 + 1.\nAnswer: (r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**3 - 11*t**2 - 11*t - 9. Suppose 0 = -4*r + 46*v - 49*v + 23, -30 = -4*r - 2*v. Let o(d) = 2*d**3 - 4*d**2 - 4*d - 3. Calculate r*o(h) - 4*l(h).\nAnswer: -2*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -5, -1\/17, 1\/4, -2\/3, 853?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -28. Which is greater: -2\/21 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349733?\nAnswer: 19, 79, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + (-11 + 3 - -1 - (-16 + 16)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 + 2.6. What is the closest to 2\/3 in 0.4, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10801646\/15 - 720374. Let k = -342329\/1290 - o. Let b = 985\/696 + 1\/696. What is the common denominator of k and b?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3510371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7 - 1. Let g(h) = h**3 + 6*h**2 - 10*h + 2. Let a be g(-7). Suppose -s*o - 8 = -a. Sort o, -1, -3 in descending order.\nAnswer: o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(165\/6) - (-11058)\/1254.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3419)\/20514)\/(3\/900).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73708401 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*j + 513 - 606, -r = -34*j - 573 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.13059*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 - 4 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 28 - (7 + (3 - 2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 269*p**2. Let i(q) = 54509*q. Calculate i(j(o)).\nAnswer: 14662921*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 0, 5*z - 5 = -2*b + 4*b. Is ((-197)\/(-4))\/(b\/(-120)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - g + 2677 - 2659, -2*g = -3*m - 54 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40806 + 40826.897. Let k = -0.38 + -20.62. Let s = k + n. Round s to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 121, 230, 339, 448, 557, 666?\n\"Answer: 109*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y = -20. Let z = -49\/6 + 19\/2. Which is the closest to 0? (a) z (b) 2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 3 + 2*b)*(-75*b - 145*b + 1052*b).\nAnswer: 1664*b**2 - 832*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152)*-1 - sqrt(152))*-1 + (sqrt(152) + 2*sqrt(152))*-1)\/(sqrt(40)\/sqrt(20)*-1))**2 + 4.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 3*t**2 - 5*t + 30. Let o(q) = -2*q**3 + 7*q**2 + 12*q - 58. Let u(a) = 7*k(a) + 3*o(a). Determine u(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 2*p**2 - 41*p - 6. Determine m(-6).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -101100010?\nAnswer: -101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 178830 times -18\nAnswer: -3218940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(243) - (sqrt(243) + sqrt(243) + 1)).\nAnswer: -9*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7067*o - 7446*o = -12886 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164 - 172. Is 6\/(-12) + (-5996)\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 - 4)*((1 + 0 - 2)*(0*a + 0*a - a) - 1 + a + 1)*(0 - 2 + 0 + (2 + 2 - 3)*(3 - 2 + 0) + 3 - 2 - 2).\nAnswer: 56*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -411244 (base 12) in base 15?\nAnswer: -151a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1793*r**2 - 2*r + 5000.\nAnswer: -3586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 0, -18 in ascending order.\nAnswer: -18, -13, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((26572\/219)\/(-91))\/((-52)\/54*-1)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from vvxxxvx?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14*(-1)\/(-6)*-3. Suppose 0 = 7*g - h - 49. Suppose g*z = 5*z - 12. Sort -6, 5, z in decreasing order.\nAnswer: 5, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-2*8\/176.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551 (base 6) in base 12?\nAnswer: 2b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let i(d) = 1. Suppose -3 = -12*t + 15*t. Let k(g) = -5*g**2 - 6. Let b(y) = t*k(y) - 6*i(y). Determine b(v(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 1 - (12 - 17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -271, -254, -219, -160, -71?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 42*a**2 - 80*a + 173. What is k(40)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3.1. Let z = -135 - -61. Let q = z - -71. Which is the third biggest value? (a) k (b) q (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -341.98 - -339. Let h = i + -0.02. Let y = h + 3. Sort -2, y, -2\/5 in ascending order.\nAnswer: -2, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4215167151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 246?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/15)\/(-4)*97\/((-34144)\/528). Factor 6\/5*r - w - 2\/5*r**2.\nAnswer: -2*(r - 2)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 352 and 0.507.\nAnswer: 178.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 112 = 11*g - 19*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 18 - 55*y**2 + 22 - 56 to the form l*y**2 + m + d*y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 82 = 4*b. Suppose 5*y + 3*p = 6*p + 125, 2*y - b = -3*p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1131*l**2 + 1134*l**2 - 2*l**4 - 2266*l**2 + 17*l**3 to the form m*l + y + i*l**3 + s*l**4 + d*l**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22\/435 - -67579\/3045. Are -9 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63424.66 litres in millilitres?\nAnswer: 63424660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -59 (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 37 = 13 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 4*f - 2*f + 5*f - 4*f + 4*f + (-5 + 5 + 2*f)*(4 - 3 + 1) + 3*f + 3*f + f + (-1 - 2 - 1)*(-f - f + 4*f) + 39*f + 26*f - 4*f.\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**24\/s*s\/(s\/(s\/(s\/(s*s**(19\/4))))))\/(s\/(s*s**(5\/3)))**41 assuming s is positive.\nAnswer: s**(1165\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218268 is divided by 167.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -3*o + 5*j, -2*j - 6 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -507063 = -507064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 351*l**3 + 75*l**2 + 15*l - 50. What is the units digit of t(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - (6 + -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n + 2. Let v be t(-7). Let g = v + 84. Let w = g + -16. What is the highest common divisor of w and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/5 + 1102*h**2\/5 - 552*h\/5.\nAnswer: 2*h*(h + 276)*(2*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-2) + (-693)\/8712*-88. What is y in 13\/10*y**2 - 3\/5*y**j + 1\/10*y**4 - 6\/5*y + 2\/5 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z + 1079 - 1079.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 423161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*d - 30322099 = -30339641 for d.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -630, -4, 0.4 in descending order.\nAnswer: 0.4, -0.1, -4, -630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 3 + (-1 - -2). Suppose -v - 7 = v - 5*n, -y*v - 4 = n. Let x(r) = -1. Let m(b) = 3*b**2 + 6. Give v*m(p) - 6*x(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u + 9. Let v(l) = -10*l - 4. Calculate -2*v(g) - 3*x(g).\nAnswer: -10*g - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {i: 3, e: 9, t: 1, a: 4, z: 1}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2906 divided by 5?\nAnswer: -2906\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 28 = 0, -10*a - 6*g + 6*g = 5*g + 75 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 23*y**2 + 23*y**2 - 18*y**3 - 31 as i*y**2 + m*y**3 + u*y + n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918 = 4*c - 2*f, f + 449 = -4*c + 2*c. Let l = -401 - c. What is l rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/(-2000))\/((-3)\/100)*-4*21\/(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(605) - -1*sqrt(605)*3 - (-1 + sqrt(40)\/(2*sqrt(8))))**2 + -3.\nAnswer: 87*sqrt(5) + 37833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4\/3 + 264*q**3 + 54071*q**2 + 2118494*q\/3 = 0.\nAnswer: -389, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 u, and 1 f when three letters picked without replacement from amwuwfwuw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j\/j**(-2\/11))\/j))\/j)\/((j*j**(-3\/7))\/j))\/(((j**(1\/6)\/j)\/j*j)\/j*j\/(j*j\/(j\/(((j\/(j*j**5))\/j)\/j)))*j) assuming j is positive.\nAnswer: j**(-2735\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z - 51. Let x be n(-19). Let h(l) = 2*l + 3. Let b(a) = 6 - 2 + a - 3. Let d(j) = x*h(j) - 17*b(j). Give d(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -7. Let v be 10\/(-3) - 96\/(-72). Which is the fourth biggest value? (a) -0.5 (b) v (c) h (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 509 + 518 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125973359874 + 9681.\nAnswer: -125973350193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -0.2614, 0.6?\nAnswer: -0.2614","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*u = 0, -4*q + 4 = 5*u + 1. Let c be 12\/(q*2*(-2)\/6). Solve -2*j + 5*j = -c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24046, 48080, 72098, 96100, 120086, 144056, 168010?\nAnswer: 191948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = 8. Let a(l) = 6*l**2 + 6. Let x(d) = -7*d**2 + d - 7. Let u(f) = -5*a(f) - 4*x(f). Determine u(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2648658, 2648659, 2648660, 2648661, 2648662?\n\"Answer: s + 2648657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624985 is divided by 1312219?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 24*d**2 + 1134*d - 44. Let h be r(-20). What is h rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 4:11 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**6\/2 + 18*z**5\/5 - 27*z**4\/4 - 787. Determine f so that q(f) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from attxc. What is prob of sequence xc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -520, 33, 586?\nAnswer: 1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*u**2*y**2 - 45*u**2*y + 3*u*y**3 + u - 49*y**3 - 89*y**2 wrt u.\nAnswer: 8*u*y**2 - 90*u*y + 3*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 96.70522 litres?\nAnswer: 96705.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 248 and 113.\nAnswer: 28024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 28931439.699?\nAnswer: -28931440.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1 - v + 8*v - 2. Suppose 10 + 5 = 3*d. Does 16 divide b(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l - 661 = 389 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -40 + 1\/3*b**3 + 17\/3*b**2 + 22\/3*b = 0.\nAnswer: -15, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:39 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 13*m + 6*m)*(-m + 0*m + 6*m) + 7*m**2 - 45*m + 45*m + (-3*m - 1 + 1)*(2 + 0 + 0)*(m - 2*m + 3*m).\nAnswer: 90*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, 13620 in decreasing order.\nAnswer: 13620, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 797858689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hrhn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1625545 and 10845.\nAnswer: 14629905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5041*z**3\/2 + 25915*z**2 + 7150*z + 500 = 0.\nAnswer: -10, -10\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Sort 5, y, -0.5 in ascending order.\nAnswer: -0.5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 178*u**3 + 172*u**2 - 200653 wrt u?\nAnswer: 534*u**2 + 344*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**3 + 3*h**2 - 2*h + 74. Let v(j) = -3*j**3 + 5*j**2 + 2*j + 75. Let k(n) = 4*g(n) - 5*v(n). Determine k(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2380945 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -79\nAnswer: 14\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.8 + -97. Let b = p + -2.5. Which is smaller: b or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 18398.72\nAnswer: -18403.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88 take away 124322242972?\nAnswer: -124322242972.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 10*a - 2*a**3 - 10*a in the form c*a + p + n*a**3 + r*a**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.1, -5, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -420.\nAnswer: 23\/420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 64 - 14 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -57, -74, -91?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -108.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12709869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -16*t - 14. Let l(a) = 3*a + 3. Let o(b) = -2*d(b) - 11*l(b). Let w = -12 + 7. Let n(v) = 1. Suppose -28*s - 51 = 8*s - 15. What is s*o(q) + w*n(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211020201002 + 100?\nAnswer: 1211020201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(109971 + 2*v + 2426*v**2 - 4*v - 109965) to the form f*v**2 + z*v + c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20140 and 3021.\nAnswer: 60420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 16*m**2 + m - 21. Let r be l(16). Put r, 5, 0, -4 in decreasing order.\nAnswer: 5, 0, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -7*w**5\/60 - 5*w**3\/3 + 3*w**2. Differentiate l(c) with respect to c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaarra. Give prob of sequence rar.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901704?\nAnswer: 2, 7, 29, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 7*q. Let h be f(-7). Let c be ((-2)\/(-4))\/(6\/12). Suppose -a = -9*a - 3*m + 3, -a + 5*m + 38 = 0. Put 2, h, c, a in increasing order.\nAnswer: h, c, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(-935)*(-10)\/4)\/((-73)\/4964).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 14*f - 14. Let c be q(3). Let l(h) = -9*h**2 + 8*h**2 + c + 10*h - 7. What are the prime factors of l(11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98.89 - -12.19. Let l = 16.7 + s. Let y = l + 69.99999948. What is y rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1158534 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 24*w**3 + 2 + 24*w - w**2 - 23*w. Let m(n) = 23*n**3 + 3*n**2 - n - 1. Let x(i) = 2*m(i) + 3*v(i). Find the first derivative of x(b) wrt b.\nAnswer: -78*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 1\/2*x**3 + 11*x**4 - 1\/2*x**5 - 11*x**2 + 0 = 0. What is x?\nAnswer: -1, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 divided by 87?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - -19) + -22 + 16 + 9.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**8\/2240 - b**7\/504 - 3*b**5\/40 - 13*b**4\/8 - 18*b**2. Let i(k) be the second derivative of r(k). Is 50 a factor of i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 1089?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321131020 (base 4) to base 5.\nAnswer: -30012321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1247 + 1250. Solve 10 = 5*n, 3*t + 2*t - 24 = j*n for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 1207985 - 1207943 = -g, 0 = 7*t + 3*g + 138 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/7*m + 8*m**2 - 6\/7*m**4 - 52\/7*m**3 + 0 + 18\/7*m**5 = 0. What is m?\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 214914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbrl when four letters picked without replacement from rpllrbvplllpl.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2500 - -2499.4514. What is r rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - b. Let v(j) = -8*j**2 - 6*j + 40. Let g(u) = 6*l(u) - v(u). Let p(d) be the first derivative of g(d). Give p(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 5*c + 6*c = 16*n + 15, 3*c + 45 + 20 = 5*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (-3 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2. Let f(h) = 2144*h**2 - 2*h + 1. Calculate f(i(d)).\nAnswer: 19296*d**4 - 6*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 21259*l - 63497. Give u(3).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*v = 408, 3*v + 20 = -q + 94. Suppose 0 = 6*g - 10*g + q. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -4, 0, -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + -1101110000100101?\nAnswer: -1101110000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -10, 4*j + 84 = 2*v - 0*v. Suppose -v = 5*k - 17. Put k, 5, -4, -2 in descending order.\nAnswer: 5, -2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 222*n - 32877. Determine b(148).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287295.124 plus 3298?\nAnswer: -1283997.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-868)\/112)\/(151373\/(-8224)).\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 6*v + 7. Let m = 6 + 6. Let d = -7 + m. List the prime factors of p(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 621, 1245, 1869, 2493, 3117, 3741?\nAnswer: 4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Suppose 18*d - 20*d = 88. Let m be d\/(-112) + 2\/(-14). Which is the closest to m? (a) u (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3 = -5*p. Suppose -y + 3*z + 4 = 5*z, 2*y - 1 = p*z. Let q(f) = 5*f - 1. Calculate the remainder when q(1) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((150\/(-105))\/(-5))\/((-60)\/119) and (453\/(-45))\/(2*-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {l: 2, p: 1, y: 1, i: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 847*k*y**3 + 31*k*y**2 - 2*k + 63310*y**3 with respect to k.\nAnswer: 847*y**3 + 31*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 29 = a - 13*w, 0 = -w + 5. Suppose 3*j - 1 - 11 = 0. Calculate the greatest common factor of j and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1402446, 2804867, 4207286, 5609703, 7012118, 8414531?\nAnswer: 9816942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (4 - 1))*1. Let s be ((-16)\/144)\/(u\/(12\/(-34))). Is 0 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4737 + -1211. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2124 and -13\/90.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 6, -2, 60, 20, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -31*w**6\/40 - 7*w**5\/60 - 7*w**3\/6 - 2*w**2 - 281. Let c(k) = 31*k**3 + 2*k**2 + 2. Give -7*c(d) - 2*z(d).\nAnswer: -31*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 123, 5, -5.\nAnswer: -5, 4, 5, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 1377413.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1839*h - 1695*h = 4320 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjqcrcjcjyyycy. What is prob of sequence jjyy?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1899036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111\/39 - (82\/(-26) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - y + 30 - 4 = 0, 2*z + 13 = 3*y. Suppose 0 = -4*x - x + 50. Let j = x + -8. Sort z, 2\/9, j in increasing order.\nAnswer: z, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 2*y + 4. Let j be z(7). Suppose j = -5*a + 194. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11612891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*1*(5 + (sqrt(304) + 1 - sqrt(304)) + sqrt(304))*3 + -5)**2*1.\nAnswer: -149115 - 22176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 146?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 309832.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14336\/280)\/((-3)\/(-15)). Which is the smallest value? (a) 7 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2436265325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t - 6. Suppose -t*f + 2*g + 16 = 0, 4*f - 12 - 6 = 2*g. Solve 5*u - 5*s - 8 = 2, 0 = -f*u - 4*s - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 10821160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 273.1491ms?\nAnswer: 0.00007587475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 - 1238*p\/13 - 28204\/13.\nAnswer: 2*(p - 641)*(p + 22)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -101110 (base 2) to base 4\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1 + -1.1. Let k = -0.258 - -0.058. Which is the fourth biggest value? (a) 2 (b) -4 (c) k (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 0 + 15*b + 4*b**3 - 5*b**3 - 4*b + 8*b**2 + 13. Is o(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 448, 1772, 4412, 8806?\nAnswer: 15392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o - 4*o**3 + 0 - 3 + 2*o in the form k*o + w + p*o**2 + z*o**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -238*z + 216*z - 2198 + 17510. Calculate the highest common factor of z and 280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 58?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**3 - y**2 + 4*y. Let q(p) = 2*p**2 - 130*p + 1268. Let b be q(12). Let g(m) = -3*m**3 - 2*m**2 + 5*m. Determine b*z(i) + 3*g(i).\nAnswer: 7*i**3 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 7}. Give prob of picking 1 r and 2 t.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9408990 divided by -55347?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 1 = 2*s, -29*s = -24*s - c + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18ae7 (base 16) to base 10\nAnswer: 101095","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1369?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 1\/5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 21*g**3\/2 - g**2\/2 - 2*g. Let a be s(1). Let t be a - 3*(-4)\/(-6). What is the highest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5470 - 5453. Let y(k) = 29*k**3 + 17*k**2 - 12*k + 17. Let a(i) = -10*i**3 - 6*i**2 + 4*i - 6. What is h*a(p) + 6*y(p)?\nAnswer: 4*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 4. Let c be 70\/(-7) + ((-2752)\/(-68))\/4. Let r = -10 - -10. What is the third smallest value in c, a, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*q + 1. Calculate the remainder when q is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -246 + 246.3. Which is smaller: c or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -40.8. Let o be (47 + -45)*(-2)\/6. What is the biggest value in o, -1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154077\/16 - -9633. Calculate the common denominator of v and -103\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05746 less than -0.1?\nAnswer: -0.04254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghg when three letters picked without replacement from {g: 3, h: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2\/4 + 18*u - 69\/4 = 0?\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7140 bigger than 277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 + -129. List the prime factors of 6\/15 - 2478\/y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -27 - 11*n**2 + 14*n + 11*n**2 + 9*n**2 + 9*n**2 + n**3. What are the prime factors of z(-15)?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3492*r - 3485*r = -140 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, -1\/14, -2 in descending order.\nAnswer: 15, 3, -1\/14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21891, 22088, 22283, 22476, 22667?\n\"Answer: -t**2 + 200*t + 21692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060*a + 4*x = 1118*a - 306, -2*a + 2*x = -18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469041.\nAnswer: 3, 156347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 16*j - 58. Let n be v(-12). Is 10 a factor of (n\/(-65))\/((2\/50)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.226 + 0.196. Let o = -511 - -515.97. Let a = l - o. What is the nearest to 8 in a, 5, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/104709, 3, -4, 4, 2, -0.2, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (2 - 6)) + (-3 - -3). What is the first derivative of -19*l + 52 - 6*l**3 + 5*l**y - l**3 + 36*l wrt l?\nAnswer: -6*l**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 441*h + 5. Is d(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j - 1. Let f(o) = -48*o**2 - 4*o - 919. Let b(d) = -2*f(d) - 6*g(d). Differentiate b(w) with respect to w.\nAnswer: 204*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (-10 + 3) - -4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270 + -160. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/4 (b) -0.1 (c) 1\/5 (d) -3 (e) 2330\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.99 times 270?\nAnswer: -4857.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25339289 is divided by 383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28307*x - 20 = 28304*x - w - 3*w, 0 = -19*w + 38 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 878544*g - 2635650.\nAnswer: 2*(g - 439275)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2, -4*l + g + 20 - 10 = -2*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + a - 28 = t, 5*t - 4*a = -46. Let j be (0 + -1)*t + -3. Solve -j*q + 3 = -9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + (3 - (0 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-16)\/(-40))\/4*5\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 120, 124, 128?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/8)\/((-21)\/(-6)))\/(42\/1764)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -8 (b) 3\/13 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -28, -37, -50?\n\"Answer: -2*h**2 + h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 75 (b) 0.8 (c) 6706\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13087*s + 2419*s - 14 + 14.\nAnswer: -10668*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51116 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 4*y + 3. Let f be l(5). Let h be (-178)\/8 + 2\/f. What are the prime factors of (-158)\/h + 2\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 5. Let b(r) = 1712*r - 4 - 5073*r + 1716*r + 1641*r. Let k(f) = 1. Let t(v) = -6. Let x(w) = -11*k(w) - 2*t(w). Determine l*x(g) - b(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k. Let m = 725 + -363. Suppose 376*q - m*q = 0. Solve k = -i - q*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 2*s - 362. Let t(b) = -b - 363. Give 3*t(w) - 2*y(w).\nAnswer: 2*w**2 + w - 365","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 23028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45807044 take away -0.008?\nAnswer: 45807044.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 738, 1 in ascending order.\nAnswer: -5, 1, 738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {w: 6, r: 1, u: 11}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328143\/20 + 16403. Calculate the common denominator of c and 67\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25201 - 6*r**3 - 4*r - 25201.\nAnswer: -6*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1 + 1 - w**2 + 5*w - 4. Let i be -1 + 0 - (11 - 16). Calculate q(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -3 + 8 + -3 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 639.3094l?\nAnswer: 639309.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 0, -9 in ascending order.\nAnswer: -9, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 3*j**3 + 0*j**2 - 2*j**2 - 3 + 6*j + 8. Let d be o(5). What is the greatest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00128989705 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-80)\/15 - 2\/(-6). Suppose -1969*l + 1971*l = -6. Sort o, 3, 0, l in descending order.\nAnswer: 3, 0, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**3 - 424*l**2 - 1820*l + 20200 = 0.\nAnswer: -101, -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 4*l. Let o(m) be the third derivative of -m**5\/60 + 108*m**2. Determine o(v) + y(v).\nAnswer: v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 4.53\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493635.\nAnswer: 3, 5, 32909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 - 15230634*a\/5 + 57993053010489\/5.\nAnswer: (a - 7615317)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t + 15393 = 20*t. Let j = 14832 + t. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (256 - 6)\/(-3*1\/6276). What is f rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, -3, -315 in ascending order.\nAnswer: -315, -11, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*v**3 + 41810*v - 41810*v)*(0*v**2 - 3*v**2 + v**2).\nAnswer: 138*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/9 and -29\/1016.\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1147 (b) 1.36 (c) -0.1 (d) -1 (e) -0.031 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 2. Let w be 42\/(-9)*((-11)\/2 - -4). Let m be ((-2)\/w)\/((-2)\/(-14)) - -10. Determine k(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6464957 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 504\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00302246 rounded to five decimal places?\nAnswer: -0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 6:46 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(7)*-2))\/sqrt(160) + ((4*sqrt(72)\/sqrt(2))\/(sqrt(432)*-1))**2.\nAnswer: -sqrt(3)\/8 + 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**2 - 1739 + 1739 - 2*q**2.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 114000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from nnnnnnnpnnnnnnnnn.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 369021 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1781.2 and -20.6.\nAnswer: -36692.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2085 and -17\/33?\nAnswer: 22935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzc when three letters picked without replacement from jljzjjljlclzz.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 4, x: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5215976 is divided by 852?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 210*r - 862. Determine w(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (396\/275)\/9*5\/2. Factor o*s**2 + 4\/5*s + 0.\nAnswer: 2*s*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 75\/(-6)*(-636)\/15 - -2. Sort k, 4, -5 in descending order.\nAnswer: k, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5107, -5096, -5063, -4996, -4883, -4712?\n\"Answer: 2*x**3 - x**2 - 5108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(38)\/sqrt(2) + 4 - -2*sqrt(2299) - (-2*sqrt(1216)*-6)**2).\nAnswer: -350200 + 46*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 9*c**2 + 6. Let p(i) = 4*i**3 - 16*i**2 + 11. Calculate 4*p(d) - 7*z(d).\nAnswer: 2*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58240002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 16 + -11 + -23 + 13 + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5536 = v - 14928, f = -4*v + 37529. Is v a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9*b)**(-11\/3) assuming b is positive.\nAnswer: b**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 23*d + 11. Let b be h(8). Let g(v) be the first derivative of 4\/3*v + 6 - 2*v**2 - 7\/9*v**b. Solve g(o) = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*10*(-2)\/(-4). Suppose 2*i = 3*m - 66, -m - m = -a*i - 33. Calculate the remainder when m is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -13*q**2. Let x(a) = 7*a**2 + 7*a**2 - 16*a**2. Determine x(m(f)).\nAnswer: -338*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from whrhrrhhfrohdhdor?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (493911\/27 - -32) + 22\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 10*q - 15. Let y be m(7). Suppose -y*g = -78*g + 253. Solve 5*f - g = k + 2*f, -23 = 3*k - 4*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in 147\/10, -3, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 292.8.\nAnswer: -3806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s**3 - s**2 + 5*s + 5. Let i be w(-2). Let j be ((-94)\/(-5))\/(i\/15 - 4). Suppose -13*v = -15*v + j. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 524*k**2 - k + 3*k - 13*k**2 - 4*k to g*k**2 + q*k + c and give g.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**3 + 2*i**2 + i. Let y = -13 - -12. Calculate r(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172 - 171. Is (-1 - -296)*j*5\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 22571639.\nAnswer: 22571639.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -5 (c) -0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5130\/10260*3\/((-3)\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -30804?\nAnswer: 30808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 6, b: 3, f: 5, c: 1}. Give prob of picking 2 b and 1 c.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -b + 6, -2*b = 2*b + 4*u - 24. Let l = b - -1. Let p = -6 + l. Calculate the highest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3970880339?\nAnswer: 61, 1487, 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2. Let i(s) = 142*s**2 - 260*s**2 + 132*s**2. Give z(i(h)).\nAnswer: 1176*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 86 - (153 + -125).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -142 in 8, 1, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**6\/60 - s**3\/2 - 2*s**2 + 4*s. Let y(c) be the first derivative of g(c). What is the first derivative of y(m) wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - 1286?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 102*o + 7751. What is d(-77)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003113 to 5 dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 916573.8ng?\nAnswer: 0.9165738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 12142*b**2 + 1042*b + 17. Is d(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**4\/12 + 9*o. Let x(w) be the third derivative of -1\/6*w**4 + 0 + 0*w**3 - 3*w**2 + 0*w. Give t(x(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.4 (c) 0.11 (d) -0.09 (e) 8\/7 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/((-4)\/(-60)). Let c be 1\/(-2)*24\/o. Let n = -2 - -5. Sort n, c, 0.4 in descending order.\nAnswer: n, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + (sqrt(85)*2*4)\/(sqrt(405) - (sqrt(405) - (sqrt(405) - (sqrt(405) - (4*sqrt(405) + sqrt(405)))))).\nAnswer: -7 + 8*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 3912, 4, -1, 17 in increasing order.\nAnswer: -5, -1, 3, 4, 17, 3912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 11650884.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772.103ml in litres?\nAnswer: 1.772103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z**5\/3 - 1904*z**4 - 49418*z**3\/3 + 12896*z**2 + 5472*z = 0. What is z?\nAnswer: -9, -4\/13, 0, 1, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -137528.\nAnswer: -1\/17191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 7:14 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3))**30)**(37\/4) assuming i is positive.\nAnswer: i**(-1665\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 32*k**2 + 870*k + 644. Determine h(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 23 - 22 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9496043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4964.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2230 = -4*v, -4*a - 1435 = -3*v + 237. Suppose -5*b - 2*n + 700 = 0, -b = 3*b + 2*n - v. Calculate the highest common divisor of b and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5 + 517*o**2 - 263*o**2 - 258*o**2 - 4*o. Let p(x) = -3*x**2 - 3*x + 4. Give -3*p(i) + 2*t(i).\nAnswer: i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 = 4*o, r + 2*r = 3*o - 3. Suppose s + 0*s = 4. Let l = -0.02 - 0.28. Which is the closest to o? (a) 1 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 + 14*g**3 - 24*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -0.5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*t = 15, -21 = 5*r + 250*t - 246*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0193 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9393, 18809, 28217, 37611, 46985, 56333, 65649?\nAnswer: 74927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541 - 52*b + 28*b + 25*b.\nAnswer: b - 541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**4 + 17305*b**3 + 2845835*b**2 + 5639775*b + 2811240 = 0.\nAnswer: -3288, -171, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3996 divided by -54?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101100 (base 2) to base 14.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 - 80 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*t - 243*t - 26*t**2 + 25*t**2.\nAnswer: -t**2 - 772*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1570*j**2 + 9516 with respect to j.\nAnswer: -3140*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9645, -38502, -86581, -153876, -240381, -346090?\n\"Answer: v**3 - 9617*v**2 - 13*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(286) - -5*(sqrt(286) - (1*sqrt(286) - sqrt(286)))) + sqrt(286))\/(sqrt(22)\/(sqrt(2)*2)))\/(5*(sqrt(2)*-1*-4 + (-1*sqrt(16))\/sqrt(8))).\nAnswer: 14*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35991*g**4 + 32335?\nAnswer: -143964*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35200628 <= 35200620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (18 + -26)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 4. Let y = 9.2 + l. Let u = 0.04 + 0.26. Put 2\/7, y, u in increasing order.\nAnswer: y, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p + 3. Let a be q(-1). Let d be (-12)\/(a*(-15)\/(-10)). Determine j so that 5 + 4*j**2 - d*j + 2 - 3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -26. What is the greatest common divisor of 117 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-111)\/(4 - 15\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/27)\/(((-323)\/(-684))\/17)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 11. Let k be l(10). Let j be (8\/10)\/(k\/(-5)). Is 2*2\/j*-47 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/2 in 7987, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -713 - 96*o**2 + 632 - 96*o**2 + 198*o**2 + o to the form k*o**2 + s + a*o and give s.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c**3*z - c**3 - 3*c**2*z + 796*c*z wrt c.\nAnswer: -48*c*z - 6*c - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*l**3*m**5 + 2323*l**3*m**2 + 4*l**3*m - 2*l*m**3 wrt m.\nAnswer: -9300*l**3*m**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64f (base 16) in base 7?\nAnswer: 4465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -29. Let r = 218 - -217. Suppose 4*w = 4*p + h*w - 1668, p + 4*w - r = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 22*p**2 - 21*p - 9. Determine z(-12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11233*p - 89890. Give g(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3707449 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 495, 2000, 4519, 8058, 12623, 18220?\n\"Answer: t**3 + 501*t**2 - 5*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*t - 4513 = 1802 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(0 - 4\/10). Suppose 5*o + 2*f - 310 = -3*f, -o = 3*f - v. Let y = o + -26. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 251*g**2 + 378*g - 288. Give r(-127).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 7:32 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 29*o**8\/56 + 35*o**4\/12 - 7*o. What is the third derivative of u(s) wrt s?\nAnswer: 3480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 405 (b) -1 (c) 0.021 (d) 0.4 (e) 10 (f) -0.2 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Suppose 3*d = -d + 2*b + 10, 6 = m*d - 2*b. Suppose 5*g - 3*a = -23, -4*a - 40 = d*g + 4. Put -0.5, g, 2\/13 in increasing order.\nAnswer: g, -0.5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 625 and 17458250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -479 + 490. Calculate the smallest common multiple of 20 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/22 and 5\/6316?\nAnswer: 69476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2*y**2 + y**2)*(0*y + 2*y - y) + y - y + y**3 + (-3*y**2 + 0*y**2 + y**2)*(4*y - 6 + 6).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 2*h + 35 - 26, -3*w + 17 = -h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*v + 14 = 0, -4*v = 2*d + 5 - 1. Suppose 0 = f - 4, d*f - 2*f = 5*z + 26. Is 5 a factor of z\/6 + 1 - 3540\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-109890)*123247 - 37.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyuvyvvouuztut. What is prob of picking 1 z and 1 t?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 10:34 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/496 and 95\/16.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.954+518779749\nAnswer: 518779749.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2220 is divided by 534.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 13384*q - 585026. What is d(44)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*f - 4 = -207*f - y, -11 = 4*f + y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 35365 = -12*o + 11*o, -o - u + 35395 = 0. What is o rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccz when four letters picked without replacement from zzczczzczzzzcczzcb?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.07 + -0.07. Let c be (60\/(-135))\/(-1 - -3*1). Let i be (-46)\/(-36) + (-86)\/18 + 5. What is the second biggest value in v, c, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 i, and 1 s when four letters picked without replacement from {s: 2, i: 5, q: 5}.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3787404 less than or equal to -3787408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 764, 1603, 2442?\nAnswer: 3281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8172 divided by 2.\nAnswer: -4086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/240 and 47\/270.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jygyygeeygooyyeye. What is prob of sequence oy?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2931 (b) -2\/5 (c) -2 (d) -2\/7 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**6\/120 - l**4\/24 + 2*l**3\/3 - 2*l**2. Let o be s(0). Solve -4*d - 18 = 2*g, -6 = o*g + 3*d + 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319421265 <= 319421266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-38)*(-16)\/48. Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001806919 rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 18*x**3 - 7*x**2 + 7*x - 1. Let o(m) = 16*m**3 - 8*m**2 + 8*m - 1. Let s(c) = -6*i(c) + 5*o(c). What is s(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t + 0*t - 12 - 7 + 41 - 4 to the form d + c*t and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6815 divided by -2.\nAnswer: -6815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 945*u**2 - 76*u + 944*u**2 - 2827*u**2 + 2*u**3 + 938*u**2.\nAnswer: 2*u**3 - 76*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 25401792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 32 + 22 = 0. Put 3, 2, l, -4 in ascending order.\nAnswer: l, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 36*l + 3. Let j(a) = -48*a - 70. Let w(m) = 6*m + 6. Let n(k) = j(k) + 12*w(k). Calculate 7*n(o) - 5*z(o).\nAnswer: -12*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-five eighths of a hour?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4*u - 3*u + 6*u)*(6*u**3 - 4*u**3 + 2*u**3)*(5 + 0 - 1) as l*u + y*u**3 + d*u**2 + n + t*u**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 2\/5 (b) 5 (c) 1.8 (d) 3 (e) -2.13 (f) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*l + 3*b - 19, -2*l = 2*b. Let z(j) = -j**2 - 7*j - 7. Let u be z(l). Let w = 371 + -361. Solve -4*a - u*i - w = 0, -i - 2*i = 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**3\/3 + 4*t**2 + 398*t. Determine d(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/((-20)\/(-10)))\/5)\/(2\/190).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 3\/10 (b) -218 (c) 2\/13 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f. Let w(d) = 10*d + 6*d - 17*d. Let g(v) = 4*b(v) - 9*w(v). Let c(i) = -4*i**2 + 3. Determine c(g(m)).\nAnswer: -36*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 262458 and 693?\nAnswer: 2887038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -a7a4a?\nAnswer: -a7a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/8, -2\/17, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60034 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 4 (b) 1 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1307316*a + 1742146 wrt a?\nAnswer: -1307316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21ad31 (base 14) in base 16?\nAnswer: -11751f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 554*w - 313 - w**2 + 2*w**2 + 311 - w**3 as g*w + u*w**3 + c + b*w**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 48 (b) -101.46 (c) -0.069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*q + 4971 = -5279. What is the least common multiple of 125 and q?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/27931771 and 69\/15961012.\nAnswer: 111727084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**4 - 16*u**3 - 21*u**2 - 6*u - 4. Let q(t) = 5*t**4 + 65*t**3 + 85*t**2 + 25*t + 15. Let s(f) = -4*q(f) - 15*z(f). Solve s(x) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -122 + -35 + 49 + 57?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of w*y**2 + w*y + 3*w - 3643*y**2 + 2*y - 33335 wrt y?\nAnswer: 2*w*y + w - 7286*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/3 + 374*q**4 + 138256*q**3\/3 - 5593496*q**2\/3 - 7999104*q - 24532480\/3 = 0 for q.\nAnswer: -296, -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**8\/20160 + i**7\/504 - 43*i**5\/60 + 14*i**2. Let g(f) be the third derivative of s(f). Factor g(r).\nAnswer: r*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/10)\/((-4)\/(-20)). Suppose -t - x*t = -204. What is the remainder when t is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o - 16. Calculate the remainder when 21 is divided by b(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(704) + (5 + sqrt(704) + -1)**2).\nAnswer: 360*sqrt(11) + 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-12*b - 17*b - 5*b)*(3 - 2*b - 3)*(4*b**2 - 4*b**2 - b**2)*(-2*b - 2*b + 3*b).\nAnswer: -136*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*d - 21327 = -882*d - 16093 + 23089 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 + 298*d. Let m(y) = -135*y. Calculate x(m(p)).\nAnswer: -36450*p**2 - 40230*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9 = -d, 3*d - 4*d = 2*k - 7. Let l = -2.8 + 3. Which is the third smallest value? (a) 0 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2994 is divided by 1480.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5 - 2*w - 3*w + w + 3*w. Let j be d(3). Solve 2*g = -v + 10, -5*v + 0*g - j*g + 10 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593223 to the power of 1\/2, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 35*g**2 + 56*g - 623. Let h be n(12). Is 5089 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 33513071.\nAnswer: -4\/33513071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (204\/34)\/(((-1)\/(4\/(-12)))\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104928891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5241888 > -5241886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1708)\/(-427))\/(8\/34)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 2 + 2)*(-2 + 1 + 3) + 2 - 2 + h**2 + (-12*h + 6*h - 11*h)*(-7*h - 12 + 12).\nAnswer: 122*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 10*j**2 - 8*j - 3. Suppose 6*m + 10*m - 14*m - 22 = 0. Give p(m).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**3 - 4*h**2 + 6*h - 1. Suppose -4*m - 2*m = 30. Let r be y(m). What are the prime factors of (-2)\/12 + r\/12?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -542521, -1085031, -1627537, -2170039, -2712537, -3255031?\nAnswer: -3797521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.01 - 13. Let s = -5.01 + u. Which is the third biggest value? (a) s (b) -2\/3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (1 - 30\/21). Let j = -0.0143 - 0.9857. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6278009 rounded to 3 dps?\nAnswer: 7.628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 31\/18 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -48*q**7\/7 + 2*q**4\/3 + 5*q**2\/2 + 5*q + 24. Find the third derivative of p(m) wrt m.\nAnswer: -17280*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(2\/5)\/f*(f**(-4\/7)*f)\/f*(f**0*f)**(-7) assuming f is positive.\nAnswer: f**(-251\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510235 (base 6) to base 14.\nAnswer: -10967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -y - 3, -5*y - 5*i = -0*i + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19502 to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111124 - -21?\nAnswer: -111103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, o: 1}. Give prob of sequence yy.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -0.0353?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -0.1, -3, -3741, 4, -94, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 71 (b) -2 (c) 8 (d) -2\/7 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15.55, 1\/5, -1, 7, 3 in ascending order.\nAnswer: -15.55, -1, 1\/5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207 and 116?\nAnswer: 24012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + d + 9, 3*w - 12 = 3*d. Let r(k) = k**2 - 5*k - 9. Let i be r(w). Suppose i*q - 36 + 6 = -s, -2*s = -q - 38. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of (-88)\/11 - -14 - -2666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(2\/1 - 5). Suppose -b*q + 3*x + 4 - 25 = 0, -3*q - 7 = 4*x. Let r(k) = -k**2 + 5*k + 52. Let v be r(q). Sort v, -5, -4.\nAnswer: -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h - 1. Let w(q) = 31*q - 47*q - 21*q. Let b(l) = 6*d(l) - w(l). Let k(c) = 25*c - 11. What is -11*b(p) + 6*k(p)?\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0448077751 rounded to 5 dps?\nAnswer: -0.04481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208819595.\nAnswer: 5, 19, 107, 20543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/20 and 43\/309320?\nAnswer: 309320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1.843511m?\nAnswer: 184.3511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 9*a + 1. Let l(v) = v**3 - 14*v**2 + 15*v - 19. Suppose -18*q + 78 = -12*q. Let g be l(q). What is b(g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7366?\nAnswer: 2, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = g + 5*q, 4*g - 322 = g - 2*q. Suppose -b + g = -2*a - 31, 2*b = -5*a + 229. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 207573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 492 and 501348?\nAnswer: 501348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2809 divide 229042189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4752777.\nAnswer: 3, 1584259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*l**2\/2 - 19797*l\/4 + 825.\nAnswer: -3*(l + 1100)*(6*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + d**2 + 2*d + 6. Let n(m) = 4*m**3 - 2*m**2 - 5*m - 11. What is 2*n(s) + 5*v(s)?\nAnswer: -2*s**3 + s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 59*l - 28. Calculate g(3).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926972.\nAnswer: 2, 19, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 2*p**2 - 4*p + 3. Let d = -44 - -47. Suppose -4*n + 37 + 39 = 0. Calculate the remainder when z(d) is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 23.1, 10\/129, 2\/5, 3\/5, 0.08?\nAnswer: 10\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 107 = 154. Let b be (-2)\/q + 0\/23. Is 1 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 858.3 (b) 0.053 (c) 29 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(4*(-1)\/(-4)). Let t = 27 + x. Suppose 32885986 + 4614014 = t*o. Round o to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*6*(-1)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.2, 3, 4, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2422*h - 2116*h + 14584 = -892*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t + 2. Let c(k) = 7*k**2 + 13*k + 14. Let z(o) = -c(o) + 4*y(o). Factor z(q).\nAnswer: -3*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 + 206. Suppose 12*j = 14*j + h. List the prime factors of 1*j\/8*-6.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15371, 61454, 138267, 245816, 384107?\nAnswer: 553146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8079 is divided by 117.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 157*i - 2936. Let y be r(6). Is -0.1 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055766573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1304 + -1202125?\nAnswer: -1200421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1313 + -1339 - (1 + -46).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 25*q**6\/9 - 4*q**5 - 11*q**4\/6 + 8*q**3\/3 + 4*q**2\/3 - 7. Determine l, given that j(l) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-168)\/(-4) - 2)\/1. Suppose k - 90 - q = 0. Suppose 3*j - 195 = 3*p, 5*j - 3*p = 3*j + k. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 - 25046*a + 3.\nAnswer: -25046*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 921700 and 19500?\nAnswer: 13825500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l + 0*l + 0*l)*(-l**3 + 0*l**3 - l**3) - 435*l**4 - 21*l + 433*l**4 + 8*l.\nAnswer: 18*l**4 - 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + u + 37. Let i be 4\/(-20) + (-2)\/(-10). Calculate the remainder when h(i) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9692839 rounded to 2 decimal places?\nAnswer: 1.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50285048*i - 75100586?\nAnswer: 50285048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 - -62. Calculate the remainder when x is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*d = -222*d + 2856 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + b = -13, 23 = 5*t - 0*b - b. Suppose -6045 = -5*a + t*f + 4950, -a + 2215 = 3*f. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5225346 is divided by 4322?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 11. Let c be m(-8). Let p be 6\/(-3) - (-39 + c). Suppose -14*j + 12*j = -p. Solve 6*a - 2 = 2*g + 2*a, -2*g - 5*a = j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 7\/(21\/14100). Let j = 18717\/4 + q. Calculate the common denominator of 2\/4 + (-10)\/16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1803*d**2 - 369 wrt d.\nAnswer: 3606*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8270 = 7*d - 2174. Suppose 3*n - 912 - d = -2*w, 2*n + w = 1601. What are the prime factors of n?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**4\/4 + o**3 - 50*o + 8. Differentiate z(r) with respect to r.\nAnswer: -3*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 12*s + 81. Let t = -20 - s. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 8. Let x be m(-7). Let w = 16 - x. Let b(s) = -6*s - 27. Let r be b(-5). Solve -2*u - r = w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 21 = 19. Is -2 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186463157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62348994 is divided by 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27\/18*(-64)\/(-120). Factor b*y**2 - 4\/5 + 16\/5*y - 16\/5*y**3.\nAnswer: -4*(y - 1)*(y + 1)*(4*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6071, 19798, 42689, 74750, 115987?\nAnswer: 166406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o - 17264 + 16714 = 0 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3685\/(-737))\/(25\/(-35)*(-10)\/(-4)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207275 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 - 2*i - 1. Let p(t) = -2*t**3 + 2*t + 1. Calculate -4*j(g) - 5*p(g).\nAnswer: -2*g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 5*q - 21, 3 = 5*q - s - 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 601.9579 centuries in decades?\nAnswer: 6019.579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/653 + -38521\/3918. Calculate the common denominator of 65\/46 and w.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2227314 to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 2*d**2 - d - 1. Let i be a(-2). Let b be 4\/i - (-7 + 6). Suppose -b*p = -4 - 11. What is the least common multiple of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven quarters of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330930236 and 559?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 118490?\nAnswer: -4\/59245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 583536253 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64260766 is divided by 3716?\nAnswer: 3694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 72. Suppose 4*a = -4*u + 5*u - 18, -3*u - 14 = 5*a. Suppose -n - 8 = -2*n + b, 5*n + u*b - i = 0. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbvfbyfynfybyvbvfbby. What is prob of sequence byvf?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1234233313 to the nearest integer?\nAnswer: 35132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-5))\/(1\/10). Let q = 32 - p. Which is the second smallest value? (a) 3 (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 2*m**3 + 447*m - 447*m + 5*m**2.\nAnswer: 2*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/6 + 2*w**4\/3 + 4*w**3\/3 - 5*w**2\/3 - 23*w\/6 - 5\/3.\nAnswer: -(w - 5)*(w - 2)*(w + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a - 18. Let l(r) = -21*r + 37. Let p(k) = -14*j(k) - 6*l(k). What is the first derivative of p(n) wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 - 6*p. Let w be f(-6). Let n = -12 + 11.93. Let j = n - 0.23. Which is the closest to w? (a) -4 (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 1\/3*y**3 + 0*y**2 + 0*y + 1. Let m(k) = k - 4. Let c(o) = o - 3. Let n(x) = -4*c(x) + 3*m(x). Determine n(t(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 59?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from fxcfgghccxwcgw.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b - 20. Determine w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2362 + 5784. Suppose -5*g - n = -5*i - 9*g, -5*i + 4*g = -4057. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffeeefe. Give prob of sequence ee.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 425941 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 7)*(0 + -1 + 0). Let a(i) = -7*i + 6. Let f be a(v). Sort 4, -4, f, -2 in decreasing order.\nAnswer: 4, f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -15*b - 2. Let p(r) = -44*r - 7. Let i(c) = 7*k(c) - 2*p(c). Let o(y) = y**2. Calculate i(o(l)).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24718, 98878, 222484, 395530, 618010, 889918, 1211248?\n\"Answer: -j**3 + 24729*j**2 - 20*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g**2 - g. Let c(n) = 4*n**3 + 9*n**2 + 12*n - 14. Let a(f) = c(f) + 3*m(f). Let x be a(-11). Solve -2*i - x = -y + 3*y, 4*i + 21 = y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 97*k - 102*k - 10, -2*x - 5*k = 10. Let 1\/3*a**2 + x + 1\/3*a - 1\/3*a**3 - 1\/3*a**4 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 300849 + -300845. Suppose 5*w - v = -4*v - 20, -5*v = w + 26. Let i be 2 + (w - -3*1). Solve 2*o = -4*k - i, k - 1 - c = -2*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(2*10\/12*3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -330?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -9*d**5\/10 + d**3\/6 - d**2\/2 + d - 28. Give u(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 53*l - 445. Suppose -4*g + g = h - 46, g - 2 = 0. What is the lowest common multiple of 15 and (l\/30*2)\/(8\/h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from ssggqggssjggsjsgyq?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 a, and 1 v when three letters picked without replacement from {m: 1, v: 5, l: 2, a: 2, j: 2, d: 8}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from wpwwpwwppwm?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 0, 7, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.4 (b) 60 (c) -2 (d) 3 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 9*t - 13*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -25*o + 4. Let h(z) = -26*z + 5. What is 3*h(c) - 4*i(c)?\nAnswer: 22*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 97*h**3 - 4 - 4 - 4 - 111*h**3 + 34*h + 0 + 32*h**2.\nAnswer: -2*(h - 3)*(h + 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d = 0. Suppose -3*n = 5*c - 22 + 7, -15 = -3*n - c. Suppose q - n + 0 = d, 0 = -5*z - 2*q + 95. What is the remainder when 48 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2827651, -2827648, -2827645?\n\"Answer: 3*a - 2827654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/160 and -29\/172829760.\nAnswer: 172829760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/15525 and 34\/18975.\nAnswer: 170775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 3108.\nAnswer: -5\/3108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6479 - 6475 + 4*k - 6470 + 19424.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 8 = 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {f: 6, i: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**4\/6 + f**3\/2 - 6*f**2. Let n(z) = -2*z - 2. Let y(u) = -3*l(u) - 5*n(u). Give y(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2672916.115 to the nearest ten thousand.\nAnswer: 2670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**3 + 4*p - 4. Let n(l) be the first derivative of 15*l**4\/4 - 11*l**2\/2 + 11*l - 26. What is 11*g(o) + 4*n(o)?\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 4*l**3\/3 + 12*l**2 + 20*l + 138. Solve g(c) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {v: 2, r: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5788*o + 7191 = -9244*o + 3994*o + 84457 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -19*k + 13643. List the prime factors of h(-106).\nAnswer: 3, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14534469 and 3615?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, i: 13, s: 3}. Give prob of picking 3 s.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 2 + -6 - (-6 - 0)) + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**26\/((v\/(v**1*v))\/((v**(-1)*v)\/v)) assuming v is positive.\nAnswer: v**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115300.5939 rounded to the nearest one thousand?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 + (-4 - -7) + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 101 + 181. Let t = -44 - v. Let i(m) = -m**3 + 5*m**2 - 5*m + 4. Determine i(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (27\/(-24))\/(2\/(-8))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 830869\/28 or 29675?\nAnswer: 830869\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 5*c**4\/2 + c**2 + 2*c + 96. Let n(h) = -h**3 - h - 1. Calculate g(b) + 2*n(b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 2*z + 35 = 25*k, -15 = -k - 2*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 468*v**2 - 949*v - 7933. Determine j(-466).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258957210.\nAnswer: 2, 3, 5, 8631907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-200)\/(-16)*834\/695.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjbx when four letters picked without replacement from jjxchcbih.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 2*u - 33, -602*u + 598*u - 4 = 4*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -46, -102, -190, -316?\n\"Answer: -b**3 - 7*b**2 - 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**4\/4 + 5*u**3\/3 + 3*u**2\/2 + 5*u - 10. Let q be h(-4). Suppose -3*a + q = -34. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q - 3*q - 4*q. Let k(c) be the third derivative of -3*c**2 + 0*c + 1\/6*c**4 + 0*c**3 + 0. Determine b(k(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 669 (b) -0.03 (c) -0.02 (d) 1\/5 (e) 11 (f) -0.2 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(2\/93))\/v)\/v)\/v**(-3\/20))\/(v**(5\/2)*v*v*(v**(2\/67)*v)\/v*v*v) assuming v is positive.\nAnswer: v**(-922357\/124620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25456909 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5044215 (base 6) to base 13.\nAnswer: 84c83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.32943 days in microseconds?\nAnswer: 5817262752000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**4\/4 - z**2\/2 + z + 1. Let a be y(0). Let b = 969\/1106 + -3\/158. Is b greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 18*g**3.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -537 or -541?\nAnswer: -541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 199 or -1?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, t: 2, u: 1, d: 1}. What is prob of sequence tata?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 24101143?\nAnswer: -24101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11 = 47. Suppose -y = -3*n + 3. Solve -8 = -n*u - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -3*d**5\/20 + d**4\/6 - d**3\/2 + d**2 + 1077. Determine f(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -5. Suppose -30 = -3*i - 2*i. Let l be 5\/(-4) - i\/d. Which is the biggest value? (a) l (b) -3\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 184 - 50 - 45 - 46 - 43.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -31*q**9\/252 - q**5\/30 - q**4\/6 - 45*q**2. Find the third derivative of r(f) wrt f.\nAnswer: -7440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 13. What is the second derivative of 13*m**c + m**3 - 2*m**3 + m**3 - 13*m wrt m?\nAnswer: 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12116863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k = 149 - 1106 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 770012418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245)*2*2*3)**2*2*-4.\nAnswer: -1128960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 915425387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, -28, -83, -180, -331?\n\"Answer: -2*s**3 - 3*s**2 - 2*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = a, 2*a = 3*b - a - 9. Suppose n = 5, 4*h + b*n = h + 940. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23256015, -46512030, -69768045?\nAnswer: -93024060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 9, w: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-1232))\/((-50)\/110)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*b*g**3 + 2*b*g**2 - 973*b - 2*g**3 with respect to g.\nAnswer: 255*b*g**2 + 4*b*g - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 25*r + 3016. What is the derivative of -79*s**3 - 6*s**3 - r*s**3 - 11 wrt s?\nAnswer: -567*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 12*z - 57. Suppose -v - k = -12, k + k - 8 = -v. What is the tens digit of f(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 26*v**2 + 14*v - 15. Let c be f(-8). Solve 6*q = 7 - c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 14 + 19 = 0. Let v = 40 - 57. Let h = s - v. Solve 2 = -2*z + h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 9*f + 9. Let i be r(8). Let y(w) be the first derivative of w**2 + 0*w**3 - 1\/2*w**4 + 0*w + i. Factor y(d).\nAnswer: -2*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1\/25 (c) -2\/5 (d) -8.7 (e) 0.4 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 90036, 88792, 87548?\n\"Answer: -1244*d + 91280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 282388 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/2)\/(33*(-17)\/(-1122)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/14 - (-470)\/987)*-6. Let s(i) = -i**3 - 9*i**2 - 9*i - 6. Let z be s(-8). Suppose 3*c + 5 = z*c. Does c = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 5*x - 1. Let p = -10 - -6. Suppose 254*n - 3916 = -102*n. Let a(i) = 6*i**2 - 14*i - 3. Calculate n*s(u) + p*a(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357\/(12173700\/135470) + 1 + -5.\nAnswer: -3\/110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-37)*z**(-21)\/z)\/((z*z*((z\/z**21*z*z)\/z)\/z)\/(z**4\/z)))**(1\/6) assuming z is positive.\nAnswer: z**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:41 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 + -4?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 2*p + 275 - 244, -3*p = 6*t + 51 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18686407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12298 - 4450. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a hour in minutes?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:58 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -194. Let n(l) = -l**2 - 7*l - 5. Let w be n(-6). Let u(i) = 16*i**2 - 1. Let b be u(w). Calculate the highest common factor of o and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -576*j - 456. Let d(s) be the second derivative of 12*s**3 + 57*s**2\/2 - 6*s - 1. Let r(l) = -33*d(l) - 4*u(l). Differentiate r(t) wrt t.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**4\/12 - o**3\/6 + o**2 - 5. Let k(l) be the second derivative of r(l). What is the units digit of k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 12:59 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/24*6)\/((-2)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -355 (base 16) to base 6\nAnswer: -3541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -4, 1.66, 454, -2, 0.04?\nAnswer: 1.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2 - -2)\/1)\/2. Suppose -p = -c*p - 6. Is 6 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33310 (base 5) in base 10?\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1255\/28133 or 0?\nAnswer: 1255\/28133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**3*r**2*x**2 - 3*q**3*r*x - 13587*q*r**2*x**2 - q*r**2*x - 23*q*r*x - 12*r**2 wrt x.\nAnswer: 6*q**3*r**2 - 27174*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1)\/1 - (31 - 29).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - k + 3 = 6, 4*v = 5*k + 15. Suppose -5*i + x + 9 = -2, -4*i + 3*x + 11 = v. Let a(j) = -5*j**i - 1 - j - 3 + 4*j**2 + 3*j**2. Calculate a(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -113431?\nAnswer: 114014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 466 and 12.\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 8*m**2 - 10*m - 7. Let t be a(-9). Let w be (1 + (1 - t))\/(2 - 1). Factor 1\/5*j**3 + w*j**2 + 0*j + 1\/5*j**4 + 0.\nAnswer: j**3*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 489?\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -291 + 291. Let u(v) be the third derivative of 0*v + 1\/3*v**4 + w + 1\/60*v**5 - v**2 + 1\/3*v**3. Give u(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218812 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (1 - (8 + -15))) + -3 - (66 + -156).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 84*c + 430. Let f be h(-5). Solve 5 = -n + 2*o, -2*n + f*o - 7*o = 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-210))\/((-22)\/55)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710599.9l in millilitres?\nAnswer: 710599900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1548 - -1545. Let r = 0.9 + 0. Sort -2\/17, m, r.\nAnswer: m, -2\/17, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58878236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agm when three letters picked without replacement from mmammgmmaggaaagm?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/946 + 9880\/(-215))*1\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/32 and 91\/674668.\nAnswer: 5397344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(sqrt(972) + sqrt(972) + -1 - (sqrt(27) + 4 - sqrt(27))*5)*5)**2.\nAnswer: -8505000*sqrt(3) + 24350625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -542149413 by 3.\nAnswer: -180716471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -335433462?\nAnswer: -335433460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/108)\/(20\/(-90)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 18, -1933, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 7 (b) -3 (c) -1\/7 (d) -4 (e) 60 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 9 = -4*w, 14*k - 2*w = 16*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 4:15 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 6. Let a be m(-10). Solve -2*g + a - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965?\nAnswer: 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-13797)\/(-84))\/((-7)\/4 - -2). Suppose 656*u - r*u + 11 = 0. Solve -3*m + m - u = 5*j, -2*j - 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4256 and 7239?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*o - 167*o + 42 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24343 - -20442?\nAnswer: 100340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5 - 52*x**4 + 300*x**3 - 680*x**2 + 658*x - 228 = 0. Calculate x.\nAnswer: 1, 2, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/8 + 3\/(-12). Let l(f) = -f**3 + 3*f**2 + 2*f + 4. Let o be l(4). Let n be (o\/(-3))\/(2\/3). Solve -g*t - n = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166 - -166. Solve g + 3 = -v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73*w**2 + 246*w**3 - 37*w**3 - 73*w**2 + 151 wrt w?\nAnswer: 627*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 15*n + 20. Let g(o) = -3*o**2 + 18*o + 3. Let i be g(6). Suppose -p = 3*u - 11, 5 + 16 = i*p + 3*u. Is h(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, -21, -91, -231, -465, -817?\n\"Answer: -4*l**3 + l**2 + l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 6 - 22. Let b be (q + 1)*1\/2. What is the derivative of i**3 + 2 + 4 - b wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + n - 68 - 27 = 0, 4*n = -4. Is -24 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4*m - 25 = 0. Find the second derivative of 4*w**5 - w + m*w**3 - 5*w**3 + 3*w wrt w.\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255481366?\nAnswer: 2, 7, 18248669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*v + 185*v + 1 - 1 - 2.\nAnswer: 132*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edc when three letters picked without replacement from ceddddddddec?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301230\/55 - (-87)\/319?\nAnswer: 59, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 387, 1505, 3725, 7413, 12935, 20657, 30945?\nAnswer: 44165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673324371 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/9 - (-57)\/513. Solve -4 = -3*p + 5*b, z = -3*p - 7*b + 4*b - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 27\/4, -2\/17, -7 in decreasing order.\nAnswer: 27\/4, -2\/17, -1\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*z = -2232 + 48 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -303\/20 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -135 (b) 1.2 (c) 2.775\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 593 in 0.5, 0.629, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k + 31*k = 2*o + 20, 2*o = 3*k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285478 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from {s: 1, p: 1, o: 2, d: 3, f: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10230 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 12. Let k be o(10). Let l be (-8 + k + 0)\/(-2). Find the second derivative of 4 - l*a**5 - 11*a + 11*a**5 - 4 wrt a.\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - (-2*sqrt(119)*-4 + sqrt(119) - sqrt(119))) + sqrt(119) - sqrt(119)) + sqrt(119) - sqrt(119)*-2*-2)\/(sqrt(84)\/(-5*sqrt(300))).\nAnswer: 250*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) 4 (c) 5\/6 (d) 417 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6694326701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.005 - -0.005. Let w be (2 + -3)\/((-3)\/(-2)). Which is the closest to m? (a) 2 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*((sqrt(170) + 4*sqrt(170))*5)\/(sqrt(90)\/sqrt(225)))*4.\nAnswer: 8 + 2500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347103, -347152, -347235, -347352, -347503, -347688, -347907?\nAnswer: -348160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -610375287*q**5 + 1318738992*q**2 wrt q?\nAnswer: -36622517220*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -4\/5029, 0.3, 177 in ascending order.\nAnswer: -4\/5029, 2\/13, 0.3, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*3\/(-24)*52\/6. Suppose m*w - 10*w = 69. Sort 5, 0, w.\nAnswer: 0, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 678286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -887, -1890, -4573, -9776, -18339, -31102, -48905?\n\"Answer: -140*r**3 - 23*r - 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 24*u + 26. What is y(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 8*q**7\/63 - 44*q**6\/45 + 37*q**5\/12 - 47*q**4\/9 + 31*q**3\/6 - 3*q**2 - 180*q. Let g(d) = 0. What is d?\nAnswer: 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*u - 2778 - 1702, -3*u = 5*y + 7454. Is y\/(-28) + (-10)\/35 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471*w**2 + 744264*w - 744264*w.\nAnswer: 471*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 36*z - 709. Give x(50).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 21. Let h(n) = -14*n - 52. Calculate the least common multiple of 9 and h(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*v = 5*w, 3*w - 18 = -4*v. Let r be ((-2)\/(-2))\/(1\/2). Let h = r + w. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28494707.\nAnswer: 28494707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f + 231 = 3431. Calculate the least common multiple of 16 and f.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807 + 169 - 171 = -115*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, -175, -258, -341, -424, -507?\n\"Answer: -83*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*w - 1. Suppose 2*u = 2*d + u - 14, w*d - 5*u = 28. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2458 * 0.3.\nAnswer: 737.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6956629 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/3 + 218488*s**2\/3 - 2992065664*s\/3 + 77351246336.\nAnswer: -4*(s - 27272)**2*(s - 78)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*p + 457*p = -592*p - 2298 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129986 is divided by 429.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 271624.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 6401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2705, -2743, -2781, -2819?\nAnswer: -2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 4\/7, -1, 0.5, 3, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -45110 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2*r = 20, 25 = -19*r + 14*r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00468585 to four decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -440 - 35*w - 2*w**2 - 36*w + 71*w - 629 - 2*w**3 in the form k*w**2 + r*w**3 + l*w + a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -861733*-0.3.\nAnswer: 258519.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, 107, 367, 865, 1679?\n\"Answer: 13*l**3 + 2*l**2 + 3*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 26. Let c be (-62)\/(-4) - d\/(-8). Solve c = -5*n - 2*q, -1 - 8 = -3*n + 5*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/((-232)\/(-9280))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155562 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -19*w + 20*w - 5*t, 0 = 5*w + t + 27 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 14. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/11)*q))**(26\/3)*q**(-23)\/(q*q\/(q\/(q**(3\/5)\/q))) assuming q is positive.\nAnswer: q**(-4154\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -43. Let w be (s\/4)\/(-5) - 2. Let t = -0.7 + 4.7. What is the third smallest value in -4, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26044181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2) + 1*sqrt(2)*5 + sqrt(2) + (sqrt(160)\/sqrt(8))\/sqrt(10) + ((sqrt(126) - sqrt(126)*-2)*6)\/sqrt(7)))**2.\nAnswer: 7688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 313 - 9*a**3 - 254 - 375*a**2 + 359 + 534 - 3843*a + 371 = 0.\nAnswer: -21, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (-20)\/(-8) - 2. Let g = 1 - 6. Let i be (-1)\/3 + 2 + -1. Which is the closest to i? (a) o (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 135, 204, 273?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/2 + 11*j**4 - 1903*j**3\/2 + 8860*j**2 + 35400*j = 0.\nAnswer: -59, -3, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37654703.\nAnswer: 23, 1637161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531*r + 262*r + 269*r - 44*r**3 + 46*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**4 - 333423*o**3\/4 - 6081951*o**2\/4 - 27156357*o\/4 - 6414177\/4 = 0.\nAnswer: -27767, -11, -7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 2 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - 13*r**2 + 4*r + 2. Is w(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/29417 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2785429886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 z when three letters picked without replacement from {b: 1, y: 1, g: 1, z: 1, h: 2, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltp when three letters picked without replacement from ptl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102394161 is divided by 25598528?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:56 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16350127 divided by 19\nAnswer: 860533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11001 = 3*t, 29*q = 3*t + 34*q - 10993. What are the prime factors of t?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.70422l to millilitres.\nAnswer: 94704.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9084.568 kilograms in micrograms?\nAnswer: 9084568000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -1 - -2 - 0) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 127812 = 13*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.0824324 rounded to 0 decimal places?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1439601*c*y**3 - 2*y**3 - 264142*y with respect to c.\nAnswer: -1439601*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*c**3 - 3948*c**2 - 12708*c - 12528 = 0.\nAnswer: -6, -348\/121, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 42*j + 1. Let o be g(1). Let r = o + -20. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 45 = -4*m, a + 3*m + 42 = -2*m. Let v = a + 67. Calculate the lowest common multiple of v and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 87, 80, 61, 24, -37, -128, -255?\n\"Answer: -g**3 + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -99 - -66ac?\nAnswer: 6613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29804 is divided by 14080?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**4\/5 - 176414*g**3\/5 - 34075936*g**2\/5 - 1627442914*g\/5 + 1661695263\/5 = 0.\nAnswer: -97, 1, 176607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/9 + 398182*y\/9 - 132728\/3 = 0. What is y?\nAnswer: -199092, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o - 4760 = 5*f, -5*o = 5*f - 11900. Suppose 4*r = 4*d - 4688, 0 = -3*d + r + 1130 + o. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146.999822 + -147. Round m to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001948918 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and -6884887.\nAnswer: -254740819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 6*d**2 - 4*d - 1. Let q be -1 - (-650)\/(-6) - 14\/(-42). Let k = -91 - q. Suppose 5*l + 2 = -8, 4*a + l = -k. Determine r(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j**3 + 30*j**2 + 30. Let f(n) = 0 - 6*n**2 - 3 - 1 + n**3 - 2. Let v(h) = -11*f(h) - 2*l(h). Is v(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61550 = 2*n - 0*n. Let z = 337630\/11 + n. Let x = z + 4567\/66. Calculate the common denominator of 55\/4 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 17 = -2*h, -59 = -13*h + 4*b - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3\/2*h**3 - 3\/2*h**2 - 6*h + 6 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/33)\/(w*w*w**(2\/15)) assuming w is positive.\nAnswer: w**(-362\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 306581877?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 236630 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1. Let c(s) = -13 - 237*s + 239*s + 5. Calculate 3*c(t) - 24*w(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7 - (-48)\/315.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/8)\/(51\/(-170)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2243409*o**3*u**2 + o**2*u**2 + 2*o**2*u - 15*o - 280*u wrt o?\nAnswer: 13460454*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:18 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 - 13*b - 38)*(1 + 1 - 4) + 12 - 2*b - 12 to u*b + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -2\/65 (c) -2\/13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -14*n**3 - 1890*n**2 + 13933*n + 2423. Give c(-142).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*o - 10*o - 293*o - 752 = 0. Put o, -3, -2137, -1, 3 in descending order.\nAnswer: 3, -1, o, -3, -2137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1293109\/229530 + -3\/7651. Calculate the common denominator of (-1)\/7 + -4*(-653)\/(-336) and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/1 - (-4)\/(-6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 1 (c) -1 (d) -6\/19 (e) 2 (f) -200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stqqvasqsaqaaq. What is prob of sequence asav?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10247 - -163873\/16. Find the common denominator of -24\/17 and m.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -8941565160025*a**2\/4 - 2990245*a\/2 - 1\/4 = 0.\nAnswer: -1\/2990245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1131)\/(-65) + -17 - (-4)\/((-20)\/9).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/11 + 511028*l\/11 - 18394416\/11 = 0. What is l?\nAnswer: 36, 255478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*105\/150)\/(9\/30)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*r - 3*o, 4*o = 5*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6940835227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5922, -11849, -17780, -23715?\n\"Answer: -2*d**2 - 5921*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/10)\/((-2)\/(-35)). What is the greatest common factor of 140 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -172899 and -0.4.\nAnswer: -172899.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 300668749 to the power of 1\/2, to the nearest integer?\nAnswer: 17340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 64 (b) 0.2 (c) -50\/79 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w + 2. Let k(u) be the third derivative of -u**3\/6 + 20*u**2. Suppose -2*j + 12 = -5*j. Let q(s) = s + 2. What is j*k(l) + w*q(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168*i**2*u**5 - 5*i**2*u**3 - 3*i**2*u**2 - 98*i**2 + 2*i*u**2 wrt u?\nAnswer: -10080*i**2*u**2 - 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -48. Suppose -3*b = -5*z + 1850, 0 = -z + 3*b - y + 392. Let d = z - 257. What are the prime factors of d?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-174)\/54 - (-6)\/27. Let a(n) be the third derivative of -n**5\/60 + n**4\/12 + n**3\/3 - 1522*n**2. Determine a(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -19*h + 59. Let t(l) = -6*l + 19. Calculate 2*n(v) - 7*t(v).\nAnswer: 4*v - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 1716240.\nAnswer: 1716240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.2. Let j = 16.5 - 18.5. Is y at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 + 196*h**2 + 525*h**3 + 132*h**4 + 0*h**5 + 331*h**2 - 45*h**3 - 63*h**2.\nAnswer: 4*h**2*(h + 2)**2*(h + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 + -20303?\nAnswer: -20346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 545 (base 7) to base 3\nAnswer: 101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 24 + 8 + -20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r + 195. Let b be (-63)\/(-13) - (-6)\/r. Solve 2*g + b*n - 10 = n, -4*g = n - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7 + 2 + 3)*(-4*y + y + 4*y) + 3*y - 1 + 1)*(y - y + 3*y)*(13 - 13 + 8*y**2) to the form c*y + r*y**3 + x + t*y**2 + u*y**4 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -96784157*j**3 - 38095*j**2 + 114285*j - 76190. Let p(d) = -7622*d**3 - 3*d**2 + 9*d - 6. Calculate 38095*p(l) - 3*x(l).\nAnswer: -7619*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2 - 4*n - 5. Let b be g(-2). Is 7 + (-325745)\/(-42) - b\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492821 to the power of 1\/2, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 2*g**2 - 1. Let s(a) = -2*a**3 + 17*a**2 - 16*a + 9. Let d(o) = 4*h(o) + s(o). What is the remainder when d(4) is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439555937?\nAnswer: 19, 23134523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + w = 124 - 120, -3*x - 2*w + 8 = 0. Let u be -4*(2 + -3*1). Sort x, -3, u in decreasing order.\nAnswer: u, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57736 = -957*k - 72416 for k.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6282 and 82713.\nAnswer: 496278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4813 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p - 16. Let w = -252 - -257. Solve p = -w*a + a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73 + 44 - -38 - 18) + -49?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4741 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1\/4 (c) -5\/4 (d) -407\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -5. Let r = -4 - y. Which is the smallest value? (a) 0.2 (b) -1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 2705 = -12*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**3 - 1278*r**2 - 181476*r - 8589864 = 0.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 102230?\nAnswer: -102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 11. List the prime factors of t(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102*a**2*n**2 + 51*a**2*n - 17*a*n**2 + 2*n**2 + 4729*n - 35 wrt a?\nAnswer: 204*a*n**2 + 102*a*n - 17*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93412, 93486, 93560, 93634, 93708?\nAnswer: 93782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3422 (base 7) to base 15.\nAnswer: -57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 15 = 5*p - 2*q, 5*p - 4*q = -10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (14 - (-12 - (-17 + -71) - 3))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 6. Suppose -b = n*b - 20. Let j be ((-2)\/(-6))\/(b\/24). Calculate the highest common factor of j and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 73*q**2 - 2*q - 1. What is w(-1)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s**2 - 9*s - 1. Let d(g) = g**3 + g**2 - 10*g - 1. Let i(f) = 6*d(f) - 7*k(f). Let r be 204\/28 - 4\/14. Suppose -r*z = -8*z - 2. Give i(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31330820.\nAnswer: 2, 5, 61, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19250710463 + -19250710901.99996084. Let x = c + 439. What is x rounded to 6 decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -141932 or -141931?\nAnswer: -141931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from txx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*c + 57*c - 215*c + 61*c + 54*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1375, 0.8, -2\/15, 7, 0.4 in descending order.\nAnswer: 1375, 7, 0.8, 0.4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1085501760 divided by 554960\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -23*l - 14. Let m be x(-2). Let c(q) = 2 + m*q**2 - 61*q**2 + 27*q**2 + 2*q + q**3. Suppose 2*o - 7 = -3. Determine c(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*k - 86*k + p = -34, 4*p = 4*k + 8 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1436832.5692717.\nAnswer: -1436837.5692717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*h)*(0 - 3 + 1) + 8*h - 10*h + 10 - 33 in the form c + a*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.1 + 124. Round r to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/197, -2\/15, -2.\nAnswer: -2, -2\/15, -6\/197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -477? (a) 0.4 (b) -0.1 (c) 3 (d) -5638\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 575*m = -576*m - 0 - 2, -4*m = 1 - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -210*n - 1088. Give s(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 8:44 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990 and 426074.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6353 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -38*y**2 + 77*y**2 - 101*y - 30 - 42*y**2 - 30. Does 12 divide r(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 134.226, 0.4, 10, -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161196607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 22, -3, 4, -2 in decreasing order.\nAnswer: 22, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = -771 + 529 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -23120*o + 11567*o - 2 + 11559*o - 39. Calculate v(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1196, -2637, -4554, -7187, -10776, -15561?\nAnswer: -21782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 2 + 12. Suppose 0 = a*o - 4*o + 44. Calculate the remainder when (-2 - -1) + 50 + -7 - 1 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19*q - 4. Let r(y) = 19*y + 3. Let z(w) = 4*a(w) + 3*r(w). Let b(m) = -9*m - 3. Let s(h) = 13*b(h) - 6*z(h). Calculate s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 312? (a) 1.57 (b) -0.7 (c) 2 (d) 1 (e) 1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1938\/1615 - (158\/(-140))\/(-1)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -12 + 7 + -1 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186590761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*a - 2*a**2 + 3 - 8 - a - 2*a**3 + 3*a + 8 as r*a**2 + v*a**3 + j + p*a and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b + 18. Let g(o) = 4*o - 17. Let a = 3958 - 3962. Determine a*g(x) - 5*j(x).\nAnswer: -x - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-48)\/32 - (-650)\/4?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 534 + -343. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -144*o**2 - 45*o*r**3 + o*r - o - 50682*r**3 wrt o?\nAnswer: -288*o - 45*r**3 + r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -3\/10 (b) 4 (c) 0.281 (d) 4\/5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 75116188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjj when three letters picked without replacement from {q: 2, j: 10}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from idiiiiidiiidiidiii.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 746 + -6724\/9. Let b = 228.39 + -228.3. What is the nearest to b in m, 3\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nmnnnnnn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 347?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvpttfmmfpppvsf. Give prob of sequence ttvs.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 287*i + 4463. Let u be x(8). What is the greatest common divisor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*l - 150 = -145*l - 143*l, 2*x = 3*x - l + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-981)\/(-6))\/3*4. Suppose 5*a + 4*q + 87 = j, 2*q = -5*a + 123. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/2*32\/28?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1419, 1427, 1447, 1485, 1547?\n\"Answer: f**3 + f + 1417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -39827.\nAnswer: -39825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/(-36) - (-4)\/(4\/(-3))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 2.4. Let a = -5 - q. Sort -5\/3, 4, a.\nAnswer: -5\/3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -302*p + 27. Let a = 45 + 59. Let b = a + -112. Is x(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -30\/43, 0.13, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8361938, 8362023, 8362108, 8362193, 8362278, 8362363?\n\"Answer: 85*c + 8361853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t - 20. Suppose -280 = -5*r - t*c, 6*c - 160 = -3*r + c. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5616*t + 2973*t + 1 - 1 + 2788*t.\nAnswer: 145*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49693 + 49723. Let a = -4 + 6. Let z = -6 + a. Sort 5, z, v, 2 in decreasing order.\nAnswer: v, 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25722 and 1200.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -i + 1, -5*i + 5 = 3*a - 7. Let g be -18 - (-3 + (5 - a)). Let q = g + 85\/4. What is the biggest value in -1, q, 2\/21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus 300761?\nAnswer: 300761.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 5900?\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/4, 2, 2\/1605, -44 in increasing order.\nAnswer: -44, 2\/1605, 1\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4431 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2))**(-39)*m*m**(-7)*m**4\/m assuming m is positive.\nAnswer: m**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(95)\/sqrt(5))**2 + (2*sqrt(152))\/sqrt(8).\nAnswer: 2*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -695*4\nAnswer: -2780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 226028069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -3 + (2 - 6). Let c be (3 - v) + -2*(-3 + 4). Solve 3*u - c*r - 5 + 16 = 0, -3*u = 3*r - 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1668660437.\nAnswer: 193, 2393, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*u + 14 - 24, u - 4*p + 17 = 0. Suppose v = -0*v - 1. Sort 5, 1, u, v.\nAnswer: v, 1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -894 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*j = 1, 3*w + 3*j + 2*j = 2. Let n(d) = d**2 - 7*d + 2. Let m be n(5). Let s = m + w. Which is greater: s or -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208684*r**5 + r**4 + r**3 - 139*r**2 - 1828.\nAnswer: 12521040*r**2 + 24*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -2\/25, -1, -3\/4, -9\/4 in decreasing order.\nAnswer: -2\/25, -3\/4, -1, -3\/2, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 2, q: 3, d: 4, g: 2, k: 2}. Give prob of sequence qm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 6*n**2 - n + 10. Let s = -8 + 14. Let a be b(s). Factor 0*w + 0 + 0*w**3 - 2\/7*w**2 + 2\/7*w**a.\nAnswer: 2*w**2*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*s - 344. Suppose -185 = 3*u + s. Let l = u + 252. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -839.7299 rounded to the nearest 10?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*x + 42*x + 908. Let b = -114 + x. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 + 0*y**3 + 10 - 19 to the form b*y**2 + w*y**3 + v + u*y and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 - 291*c**2 + 5*c - 4972. What is i(-73)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/20*(-15)\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 68*v**3 + 2*v**2 - v. Let r be l(1). Suppose -7*p - 1350 + 5634 = 0. Let u = p - r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 92, 191, 280, 353, 404, 427, 416, 365?\n\"Answer: -b**3 + b**2 + 103*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -61*z**3 + 8*z**2 + 167*z - 114.\nAnswer: -(z - 1)**2*(61*z + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5160.818 micrometers in kilometers?\nAnswer: 0.000005160818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 320331\/35990 + -2\/3599. Find the common denominator of s and 57\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 7:44 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/(-3) + 22)\/((-2)\/12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 0)\/(140\/(-56))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*w - 1184 - 1280 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - l - 1, 2*k + k - 2*l - 2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (0 - -4 - 2). Let v = t - 1. Let b(m) = -m**3 - 6*m**2 + 5*m + 8. Calculate the least common multiple of 8 and b(v).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)\/t)**(-26)\/((t**(-1)\/t*t*t)\/t)**27 assuming t is positive.\nAnswer: t**(211\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 325*b - 997. Let r be s(4). Solve -6*t - 351 = -r for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - (sqrt(19) + 2)) + sqrt(19) + ((2*sqrt(475))**2 - sqrt(475) - sqrt(475)).\nAnswer: -9*sqrt(19) + 1894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -9*x**3 + 535668*x**2 + 90965532*x - 60881760 = 0.\nAnswer: -170, 2\/3, 59688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -24)*148\/(-4). What is the remainder when (-2 - 1)*1 - q\/(-9) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 11113?\nAnswer: -11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103518 and 60507?\nAnswer: 8591994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -3 (b) 2 (c) 2\/3563\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13905 is divided by 49.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-9)*6\/(-10)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o - 32*o - 279 = -247 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -2, -29, -80, -161?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 2*b**2 - 1. Let v be f(-1). Sort 2, 3, -2, v in descending order.\nAnswer: 3, 2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -508, -1073, -1638, -2203, -2768, -3333?\nAnswer: -3898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12513*l + 12519. What is q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532*g**2 + 6 - 3*g + 3*g - 638*g**2 + 1168*g**2.\nAnswer: -2*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129.5 + 129.3. What is the biggest value in 0.0539, -1\/9, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**2*r**2*z**2 - 26503*q**2*r*z**2 - 81*q*r**2*z - 4*q*r**2 - 2*q*r*z**2 + 15*q*r*z wrt q?\nAnswer: 8*r**2*z**2 - 53006*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.35 and 0.054?\nAnswer: 0.1809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 0*h**3 + h**3 + (-2*h + 2 - 2)*(-3*h**2 + 4*h**2 + h**2) + (-3*h**2 - h**2 - 6*h**2)*(h + 2*h - 2*h).\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2640 - -5767. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 1368*o + 12 = -1370*o, -25 = -4*f + 3*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 11 = -4*h, 1 = -0*h + h + f. Let z be h + -1 - (-74)\/26. Which is the second smallest value? (a) -3\/5 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 467\/5 + 1\/10*y**2 + 469\/10*y = 0. Calculate y.\nAnswer: -467, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*p - 1 = -k + 145*p, 3*p = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75151901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l + 12. Suppose -f + 7*f + 60 = -0. Determine i(f).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from wpxppwww?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 12*o**2 - 46*o + 6. Let l(y) = 2*y**2 + y + 1. What is -6*l(j) + n(j)?\nAnswer: -j**3 - 52*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12924894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9 - 2*h**2 + 10*h - h**3 - 25 + 27. Let b be o(-4). Suppose -5*u - k + 313 = 0, -b*u - 2*k = -5*u + 118. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5148812 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Suppose 2*l = -5*y + 5, l - 4 = -2*y - 2. Let o(q) = -2*q**2 + 4*q. Give y*o(m) + b(m).\nAnswer: -2*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {z: 1, c: 1, b: 8, t: 4, a: 1, i: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 + 52830678578875*y - 52830678578875*y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 12 + 17. Suppose -g - 608 = -0*f - 3*f, 0 = -i*f - 5*g + 1040. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3053 + 3046.974. What is q rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -17.14. Let h = -5597\/11082 + 28\/5541. What is the closest to -1 in h, 2\/15, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 3. Let w be k(2). Let f be (0 - -1)\/(w\/(-2)). Suppose f*m - 80 = 450. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*s - 812250 = 2367. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14874823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1799056*g. Let w(d) = 4*d. Determine r(w(s)).\nAnswer: -7196224*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 42587883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v**2 - 35*v + 35*v)*(-306 - 3*v + 306 + (-2 + 1 + 0)*(4*v - 3*v - 2*v)).\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 4 = -11*f. Solve 7 = 2*p - j - 5, p + f = -2*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*a**2 - 3348*a + 1260.\nAnswer: -4*(a + 105)*(8*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10263045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -418 in -3\/8, 1, 15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*r + 40, -2 + 0 = 3*r + 4*g. Let s = 12 + 9. Suppose -4*z + s = -7*z. Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*f**2 + 135*f**2 - 55*f**2 - 150*f**4 + 3*f**3 - 2*f to c*f**4 + k*f**3 + b*f**2 + g*f + l and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/6)*m**(5\/4))\/((m**(-1\/3)*m)\/(m*m\/(m*m**(-4)))))\/((m**2\/m)\/m*m*m*((m\/(m\/(m**(-2)\/m)))\/m)\/m)**(-1\/26) assuming m is positive.\nAnswer: m**(827\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28158 and 13352307?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -269 in 5, -2\/9, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*l = -5, p + 5*l + 34 = 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -2*z**3\/3 + z**2\/2 + 6*z + 73. What is w(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o = 12. Let d(m) = -6*m + 29. Let x(t) = 6*t + 35. Let r be x(-5). Let y be d(r). Sort o, -2, 3, y in increasing order.\nAnswer: o, -2, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58992 + 0?\nAnswer: -58992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**3 - 4*a**2 - 593483173 + 4*a**2 + 593483173.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (278\/834*54\/1506)\/(2\/(8\/(-6))).\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**2 - 2*j + 4. Let l(o) = -22*o**2 - 7*o + 11. Let s(n) = 7*h(n) - 2*l(n). Find the first derivative of s(u) wrt u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {c: 6, a: 1, p: 3, f: 4, l: 2, k: 3}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -4, -1878, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1040*t**4 - 342 wrt t?\nAnswer: 4160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141\/12859 at most -7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52.03244 millennia?\nAnswer: 624389.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 11*y + 18. Is n(-11) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2*l - 4*l)*(1063 - 1415 - 1813)*(-l**2 - 2 + 2).\nAnswer: 2165*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:56 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 4*x + 2. Let h = 17 - 14. Suppose -5*o + 20 = 0, h*o - 2 - 4 = 2*i. Let a be n(i). Which is bigger: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:52 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83\/76 - 3311\/2736. Calculate the common denominator of 53\/2 and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + (-2 + 2 - 1)*(189 + 55 + 206))*(-26*m + 1 - 6*m + 13*m).\nAnswer: 8531*m - 449","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*u = -0*a + 15, -20 = -4*a + 4*u. Suppose -12 = 5*w - s, 3*s + s + 2 = -a*w. Is -3 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 h when four letters picked without replacement from kgkgyogoykghhj.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/12, -1, -3\/2, -0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296660045 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 4660*t - 27997. What is q(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkknkkkk. Give prob of picking 2 k and 1 n.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 - -402aa20?\nAnswer: 402a982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:28 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/12 and 57\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3770*p*r**2 - 2*p*r + 12*p + 11*r + 2 wrt r?\nAnswer: -7540*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (12 + -2 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*m + 17 = 4*s, -s = -3*m + 5. Which is the second smallest value? (a) 0.044 (b) s (c) 0.1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/60)\/(2\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320929243 to the nearest integer?\nAnswer: 17914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + (-16)\/4 + -2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b - 39. Let g(d) = 2*d - 27. Let p be g(-12). Let o = p + 61. Let s be h(o). Calculate the greatest common factor of 55 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -142\/3. Let g be 2\/3 + (-30)\/18. Which is the second biggest value? (a) g (b) -3\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1411656, -1411659, -1411662, -1411665, -1411668, -1411671?\n\"Answer: -3*l - 1411653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 25. Give p(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**7\/840 + h**6\/80 + h**5\/240 - h**4\/16 + h**2 + 13*h. Factor p(t).\nAnswer: -t*(t - 6)*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(280)*-4)\/sqrt(5))\/(sqrt(16)\/sqrt(2)*2 - sqrt(16)\/sqrt(32)) + 3.\nAnswer: -16*sqrt(7)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4785 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/51? (a) -0.3 (b) 1\/3 (c) 0.1 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 3*w**2\/2 + 11*w - 1. Let j(p) = -6*p - 21. Let l(z) = 11*h(z) + 6*j(z). Differentiate l(m) wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -2)\/(-1)*(-14 + 13). Solve -i - 4*x = -2*x + 3, 2*i + 3*x + 6 = z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4517, 18073, 40665, 72293, 112957?\nAnswer: 162657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:18 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*l + 1 = 4, 3*l - 12 = t. Let z(a) = -2*a - 1. Let k be z(t). Let y = k + 0. Calculate the remainder when 8 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 60*h**3 + 2*h**2 + 3. Let k(w) = 119*w**3 + 3*w**2 + 5. Let y(q) = -5*f(q) + 3*k(q). Let i be y(1). Calculate the highest common divisor of i and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 73*f - 21. What is n(-12)?\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 437\/(-247) - (-7 + 6).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -165, -279, -369, -423, -429, -375, -249?\n\"Answer: 2*m**3 - 128*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 854331420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(-2*sqrt(1900) + sqrt(19) - (2 + sqrt(114)\/sqrt(6) - sqrt(19))))**2.\nAnswer: 684*sqrt(19) + 61769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.028784 millennia?\nAnswer: 36345.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*n + 115, 3*i = 2*i + 2*n + 45. Calculate the highest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-36)\/9 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8*d - 16. Determine s(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-2*(-2)\/4. Let z(b) = 4*b - 3. What is z(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76099, 76115, 76157, 76237, 76367, 76559, 76825, 77177?\nAnswer: 77627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + 0.22. Let m = -1 + 0.7. Put 0.4, f, m in increasing order.\nAnswer: m, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**3 - 21*n**2 - 51*n - 11*n**2 + 32*n**2 in the form t*n**2 + m*n + y*n**3 + u and give m.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-82957)\/(-588) + 1\/(-12). Let s = -99 - -178. Let m = r - s. Calculate the remainder when m is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 22*t**3 - 34. Let n(h) = 35 - 62*h**3 + 79*h**3 - 39*h**3. Let y(a) = 7*n(a) + 6*p(a). Differentiate y(x) wrt x.\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**2*y**3 + 56*p**2 - 6*p*y**4 - 7*y**2 - y wrt y?\nAnswer: 18*p**2*y - 72*p*y**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k**3 + 4*k**2 + 26*k + 10. Let f be b(-8). Let y be f\/11 - 3\/(-66)*-4. What is y rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 433002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csc when three letters picked without replacement from {n: 6, a: 7, c: 3, s: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10509062*b**4 + 43171559 wrt b.\nAnswer: -42036248*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1 - 157*h**2 + 81*h**2 - h**3 + 75*h**2. Suppose -j = 2*j + 18. Let w be (1 + -2)\/((-2)\/j). Calculate x(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63117671.\nAnswer: 37, 1705883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 + -0.26. Let u = 0.4 - 0.1. Let n = w - u. Which is the nearest to 1? (a) 2\/3 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46822, 186817, 420148, 746821, 1166842, 1680217, 2286952?\nAnswer: 2987053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 - 46. Let j = w + 251. What is the remainder when j is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r + 8. Let z(s) = 1. Let c(x) = k(x) - 2*z(x). Let i be c(6). What is the remainder when ((-36)\/i)\/((-2)\/5) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 44 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*x - 504, -r + 0*x + x + 167 = 0. Let w = 835 - r. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*h - 475*h - 188*h.\nAnswer: -797*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 11*v - 16. Let t be q(-12). Suppose -2*l = 5*d - t, -3*d + 299 = 2*d - 3*l. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -383, -369, -339, -287, -207, -93?\n\"Answer: c**3 + 2*c**2 + c - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) - sqrt(168)*2)*3)\/sqrt(6))\/(sqrt(16)*2 - sqrt(4) - sqrt(64)*1).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 7*v**2 - 7*v + 3. Give f(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8248, -8248, -8250, -8254, -8260, -8268, -8278?\nAnswer: -8290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**7\/420 - x**6\/360 - x**4\/12 + 7*x**3\/3 + 2. Let r(k) be the third derivative of t(k). Calculate r(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 39 = -1. Calculate the lowest common multiple of t and 118.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 212, 352, 486, 608, 712?\n\"Answer: -f**3 + 3*f**2 + 138*f + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 10:45 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123783?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 4:14 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3\/5 - 144*v**2\/5 - 972*v\/5 = 0.\nAnswer: -27, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**2\/2 - 39069*h. Let c(n) be the second derivative of n**3\/3 + 3*n**2\/2 - n. What is c(x) + 4*m(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -42.78 (c) 0 (d) 3\/5 (e) 30 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 23*j**7\/13860 - 2*j**6\/165 + j**5\/165 + j**4\/6 + 10*j**3\/3 + 203*j. Let i(n) be the third derivative of h(n). Factor i(u).\nAnswer: 2*(u - 2)*(23*u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 3*o**2 - 3*o - 3. Let m = 14 - 21. Let t = m + 11. What is the remainder when 1 is divided by q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/1)\/((-6)\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*u - 2841 = 19355 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from nnuunnnnunnnunnnnn?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**2 + 0*o**2 - 3*o**2 - 6*o**2 + 28*o as l*o**2 + c + a*o and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*u**5 - 6*u**4 - 3*u + 32*u**3 - 11*u**2 - 120*u**5 + 5*u**4 + 19 - 10*u**3 wrt u.\nAnswer: -180*u**2 - 24*u + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t + 18. Let f(d) = -26*d - 89. Give 2*f(s) + 11*u(s).\nAnswer: 3*s + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -589134, -589216, -589354, -589548, -589798, -590104, -590466?\n\"Answer: -28*u**2 + 2*u - 589108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(180) + sqrt(5))*-6)**2 - (-1*sqrt(5) + 3))*1 + 0.\nAnswer: sqrt(5) + 8817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 4)*(-8*k**4 + 30*k - 8*k**4 - 32*k).\nAnswer: -96*k**4 - 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100093*a + 100066*a + 100316*a - a**2 - 300475*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82*b**4 + 26*b**3 - 14746 wrt b?\nAnswer: -328*b**3 + 78*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-3)\/(-2994)). Suppose 14*i = w + 1713. Which is greater: i or 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 - 1*-2. Suppose -5*d - 8*n + 5*n = -1, 0 = 5*d - 4*n - 22. Suppose 3*o = 12 + 3. Put v, o, d in ascending order.\nAnswer: d, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -8*o - 38. Let d be o\/((-91)\/(-2)) + 320\/52. Suppose 5*q = d*q + 2*q. Which is greater: q or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by -26.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 180404895?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 471.39 + -474. Let w = z + 2.6099779. Round w to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -611 + 595 = 6*r - c, 2*r - 2*c + 2 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 2*q + 8*q - 6 + 5*q.\nAnswer: q**2 + 15*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5937 + -5941. Which is the second biggest value? (a) 1\/7 (b) 0.4 (c) 0.007 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/485 + 3401\/2910. Calculate the common denominator of -97\/4 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61545*u**3 + 13*u**2 + 1073*u + 1464.\nAnswer: 369270*u + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from xujujnuxdxnxnupnuud.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/2 and 101\/(-18) - 9\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 22 - 98. Let g = -5 - o. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2. Let z(m) = -2. Let x(v) = -5*v**2 + 8. Let b(a) = -5*x(a) - 20*z(a). Calculate t(b(h)).\nAnswer: 1250*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 176*b + 176*b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10022112 (base 3) to base 15.\nAnswer: -ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5 + 147*s**4 + 1722*s**3 - 2022*s**2 - 1725*s + 1875 = 0.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.5, -16, -2\/15, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f + 5*x - 19 = -236, 15 = -6*f + 9*f - 3*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 25 = 4*s + 4*w, 3*s + 12 = -7*s + 3*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2298 = -4*d + 8954. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058 - -48?\nAnswer: 47.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*i + 2 = -2, -4*y = -2*i + 24. Let c be (-606)\/(-14) - y\/(-14). Let z be -2 + c - (-6)\/(-3). What is the greatest common factor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**4\/12 - 5*s**3\/6 - 3*s**2\/2 - 11*s + 5. Let u(z) be the first derivative of p(z). Calculate u(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -16 (c) -4\/13 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220 - 220.3. What is the smallest value in 0, z, 0.5, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 416 + 136 = 0. What is the remainder when 64 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95459013 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 526\/(-4)*4*(-4 - -3). Suppose b = -2*i - 2*b + a, b = -4. Let c = -137 + i. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -3 + 6*(-15 + 1775\/75)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/149485 and -72\/10675.\nAnswer: 45592925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r + 15*r = -23*r + 5074. Calculate the greatest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39200 and 122500.\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 5*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -11 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 5. Let c be m(0). Suppose -498 = 478*k + 458. Let g be (-2)\/(-9) + (-26)\/198. What is the second biggest value in k, -2\/5, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-20)\/(-1 - -5). Let r be (-10)\/35 + h\/(-7). Let c = -1 - 1. What is the smallest value in -1, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {d: 1, m: 2, s: 2, i: 6, w: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -217846126*q**3 - q**2 + 244869988.\nAnswer: -653538378*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3612934699213 less than 1.7?\nAnswer: 3612934699214.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -869480*a**3*j**2 - 12309*a**2*j - 11*a*j**2 wrt a?\nAnswer: -5216880*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 45*x**2 + 8*x - 908. Let r(o) = -o**2 + 2*o - 4. Let m(i) = 5*r(i) - t(i). What is the first derivative of m(g) wrt g?\nAnswer: -100*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5147 - -5471. What is the least common multiple of 16 and u?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008045358 rounded to six dps?\nAnswer: 0.000805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(22\/7)*p*p)\/(p\/(p\/(p*p\/p**(-2\/93)*p)))*p**(-17)*p\/((p\/(p\/p**45))\/p*p*p) assuming p is positive.\nAnswer: p**(-38981\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*l = -117, 11*t - 16*t + 145 = -5*l. What is the lowest common multiple of 24 and t?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1787*r**3 + 4*r**2 - 201 wrt r.\nAnswer: -10722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hojj when four letters picked without replacement from {j: 5, h: 10, o: 1}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102135748 and 2288?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 2*n**2 - 13\/15*n**6 + 11\/6*n**4 - 4\/3*n**7 + 4*n - 13\/3*n**3 + 41\/10*n**5 + 0. What is h in v(h) = 0?\nAnswer: -1, 1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 0, 51\/7, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200599.491 rounded to the nearest one thousand?\nAnswer: 201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 8*q - 6*q - q.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(11) + (sqrt(99) + sqrt(11) - sqrt(11))) - (sqrt(176)*-1 - sqrt(176)) - (-5 + -1*sqrt(11) + -2)**2) + 4.\nAnswer: -56 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**2 - 9741*s - 296837 wrt s?\nAnswer: 2*s - 9741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:23 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(2 + sqrt(2)) + (6*(-2 + sqrt(2) + sqrt(2)) + sqrt(2))**2)*6.\nAnswer: -1866*sqrt(2) + 2899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -225201 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 248713\/20 + -12430. What is the common denominator of -35\/22 and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12292, -12263, -12184, -12031, -11780, -11407, -10888, -10199?\n\"Answer: 4*r**3 + r**2 - 2*r - 12295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -47, 1.\nAnswer: -47, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}