{"text":"Question: Let t = -1\/798965 - 2396891\/3195860. Let l = 3 - 3.2. Which is the nearest to -6? (a) 2 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1386)\/242 + 6 + 2340\/(-110)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -126 - -90. Let t = -9 - f. What is the greatest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**3 + 6*s**2 - s - 4. What is m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -244*t + 71*t - 74 = 99 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**2\/5 + 3472*d - 3767120.\nAnswer: -4*(d - 2170)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -159*l**2 + l**3 + 74 - 73 + 125*l**2 - 241*l**2 - 85*l**2 in the form m + k*l**3 + d*l**2 + v*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 - 8*w + 2. Let f be s(-6). Let p = f + -8. Suppose 6 = 3*j - p. Solve 2*b + j*m + 7 = 31, 3*m - 15 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3, 13, -218, -15 in increasing order.\nAnswer: -218, -15, -3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 538*p - 15656. What are the prime factors of z(83)?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*s - 9*s = 21 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 44\/36 + (-2)\/9. Let v(b) = 0*b - 1 + o - 1 + 3*b. What are the prime factors of v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20012 - 0?\nAnswer: -20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 235, 3530, 12477, 29902, 58631?\n\"Answer: 471*i**3 - 2*i - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1\/22010 + 1601231\/77035. Let p = -41\/2 + v. Suppose 2\/7*i + 0 - 2\/7*i**3 + 2\/7*i**4 - p*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/18 + 25\/(-6)*(-648)\/(-243)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*1110\/(-28 + -2).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 2*v = 0. Suppose 4*b + 4*c - 44 = 0, v = 2*c + 2*c + 12. What is the greatest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*g + 3*b - 75, 14*g + 23 = 15*g + 5*b. Suppose 35 = -5*a + 260. What is the greatest common divisor of a and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 877 + -402. What are the prime factors of p?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the second derivative of -m**8\/480 + m**7\/630 + m**4 + m. Let y(d) be the third derivative of k(d). What is the third derivative of y(l) wrt l?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 + (-8 - 0) + 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j - 9. Let v be y(13). Suppose -5*b + v*b = 2. Let l(n) = 3*n**2 + 2*n + 4. Let c be l(b). What is the greatest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * 357947\nAnswer: -178973.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -34274 divided by -65\nAnswer: 34274\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {j: 11, h: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 375 is divided by 8\/6 + 26132\/282?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -86*j + 184*j - 91*j - 3.\nAnswer: 7*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -35*u. Let j(a) = -5*a**2 - 4. Let p(y) = y**2 + 1. Let f(k) = j(k) + 4*p(k). What is f(q(t))?\nAnswer: -1225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*x**3 - 324969*x + 9213266.\nAnswer: 9*x**2 - 324969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10351 - 12714 = -35*w - 70. Round w to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3.03 + -0.03. Let r(s) = -s**3 + 5*s**2 - 5*s. Let m be r(4). Let p be (-2)\/6*(m - -7). Which is bigger: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - b = 4350 + 4437, -5*h + 21990 = 2*b. Let m = 6296 - h. What is m rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.0595 - -240.0595. Let v = 235 - z. Which is the nearest to 2\/9? (a) 1 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of 2*i**7\/35 - 7*i**5\/20 + 18*i**2. Find the third derivative of h(s) wrt s.\nAnswer: 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -5*q - 6. Let v(f) = -4*f - 6. Let n(t) = 5*k(t) - 6*v(t). Let b be n(7). Let o = b + 3. Solve 2*u + y = 6, o*y + 37 = 5*u - y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(72\/90)*-1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 190376 and 7791.\nAnswer: 27985272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, -1.1, -4\/5, -0.5, 4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**3 + 7*s**2 - 3*s - 7. Suppose 5*k - 2099 + 415 = p, -340 = -k + p. Let r = k + -282. Calculate the remainder when r is divided by f(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1870944, 3741888, 5612832, 7483776, 9354720?\n\"Answer: 1870944*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2 + (-5*2\/(-10) - -47) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -5*s - 18. Let r(p) be the first derivative of -30*p**2 - 5126. What is x(r(c))?\nAnswer: 300*c - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 1931.433 decades to millennia.\nAnswer: 19.31433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9830 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 818135.9mm in meters?\nAnswer: 818.1359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -36*(-4)\/6*(-1)\/3*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 51, 220, 677, 1566, 3031, 5216, 8265?\nAnswer: 12322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1568 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 5, p: 1, l: 6, a: 1, w: 3, v: 4}. What is prob of picking 1 i, 2 l, and 1 v?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**2 + 3*h + 3. Let d be c(4). Let r(p) be the third derivative of -p**5\/30 + p**3\/6 + 984*p**2. Determine r(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6.6 - 7. Let j = 0.1 - 0.2. What is the nearest to j in 4, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = t - 5*d, -t - 4*d + d = -10. Suppose -2*o + t = -7. Solve -5*u = -2*l, 21 = -o*u - l + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 25.0712m to kilometers.\nAnswer: 0.0250712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*l, -3*a + 2*l + 0*l + 42 = 0. Calculate the lowest common multiple of a and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 307070 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 248563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 9*c + 3. Determine u(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16.7 + 16.6. Let v = 13 - 8. Which is the closest to s? (a) 1 (b) 1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21133556?\nAnswer: 2, 5283389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 3 + 4)*(1 - 3 + 0)*(115*l - 48 + 48) as c + x*l and give x.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -2*j - 2*j. Suppose -4*z - 2 = -j*z, 4*g - 4 = -2*z. Suppose 3*c - 20 = -g*c - 5*q, -4*c + 3*q = -51. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/46 - (-1206167)\/(-7429) - -12. Is -151 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 534 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*k + 5*r = -23*k + 49*k, 6*r + 3 - 1 = 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 716 and 1611.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -17321 divided by -2\nAnswer: 17321\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8403\/8 - 1050. What is the closest to -0.1 in 4, -23.9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 g and 1 d when four letters picked without replacement from {d: 3, g: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n**3 - 2*n**2 + 5*n - 8. Suppose 4*u + 6 = 3*u. Let w be m(u). Let b = w + -73. What is the remainder when b is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = i + h + 2, -4*h + 0*h + 17 = -i. What is the units digit of 1\/(-8 - -3) + (-331)\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**3 + 20*b**2 - 63*b - 9. Give v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 6 = y, -3 = 4*w - 2*y + 3. Let v(n) = -28*n**3 + n + 1. Suppose m + 0*m = 15. What is the remainder when v(w) is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.215 - 0.175. Let v = 9.13 - 9. Let z = v - -4.87. Put -1\/2, p, z in decreasing order.\nAnswer: z, p, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (13 - 9 - 4) + 17\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.02? (a) -5 (b) 2\/14463 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -536620*x**4 + 2568994*x**2?\nAnswer: -12878880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 1 = 5. Let d = k + -3. Let u(a) = d + a + 0 - 2. Let i(n) = 6*n - 7. Give -2*i(z) + 14*u(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -69, 8 in descending order.\nAnswer: 8, -0.5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -11887*i + 559 = -11844*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j - 861 + 866 = -3*l, -2*l - 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -207608*z**2 - 91417 with respect to z.\nAnswer: -415216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -i + 3*x + 22, i - 14 = -2*x. Let 7*k**2 - 5*k**4 - i*k**2 + 11*k**2 = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1587 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: Let u(d) = d**3 - 10*d**2 - 9*d + 5. Determine u(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5892 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5 + 23. Let i be (-351)\/(-26)*(-34)\/(-3). Suppose -17*n + i = 17. Calculate the lowest common multiple of a and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(153)\/(sqrt(27)\/(sqrt(24)\/sqrt(8))))**2 + (-1 + -1*sqrt(17)*-6)**2.\nAnswer: -12*sqrt(17) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1189 + -16551\/14. Find the common denominator of -1*(-2)\/(-40)*134 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/3*(-3 + -19 - -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xdxvddxxvddvxvd. What is prob of sequence ddvd?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the second derivative of -953*o**3\/6 - 396*o**2 + 602*o. What is the derivative of p(q) wrt q?\nAnswer: -953","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13 times -939?\nAnswer: 12207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g - 10. Let s be i(-7). Let q be s*(-2 + (-10)\/(-6)). Let y = 7.1 - 8. Is q bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-45)\/50*(-420)\/252.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 131016140159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -318, -1296, -2914, -5166, -8046, -11548, -15666, -20394?\n\"Answer: z**3 - 326*z**2 - 7*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-115617)\/(-27) - 20\/180.\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -7355, -7346, -7337, -7328, -7319?\n\"Answer: 9*z - 7364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2.7, -1, -53\/30, -0.04 in descending order.\nAnswer: -0.04, -1, -53\/30, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -41826 - 8276 = -1066*u for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes before 9:40 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -31b34265 + -2?\nAnswer: -31b34267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 23*b**5 + 7*b**5 - 8*b + 6 - 3*b**5 - 5*b**3 wrt b?\nAnswer: 540*b**3 - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 137\/84 and 37\/756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.9 - -9.9. Let y = -5 + j. Which is the third biggest value? (a) -1\/3 (b) 1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -30*u - 2. Let b(g) = 113*g - 234. Determine -b(r) - 4*c(r).\nAnswer: 7*r + 242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1124 + 1085 + 1119 - 3328 + 37*p.\nAnswer: 37*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is b in -9*b**3 - 262*b**2 - 435*b**2 - 11*b**3 - 1604610*b + 7551*b**2 + 4471*b**2 + 400445 = 0?\nAnswer: 1\/4, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = 4*l - 23 - 225, -2*l + 8 = 0. Let t = j + -56. Solve 4 = -a - 4*o, -5*o = -5*a - 3*o + t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the third derivative of r**4 + r**3\/3 - 94*r**2 + 2. Determine m(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27318 is divided by 427.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -11.8, 81 in descending order.\nAnswer: 81, -3, -11.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**(-3))**(-38))**(-2\/13)\/(((u\/(u**(4\/13)\/u))\/u)\/u*u*u**8)**(2\/3) assuming u is positive.\nAnswer: u**(-682\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*q - 2361 = 24*q + 2080 + 141 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be -5 - -3 - 1*4. Let h = 9 + p. Suppose 3*y + h*k = 4*k + 40, -2*k - 8 = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the third derivative of r**5\/180 - r**3\/18 + 62*r**2 + 2*r. Find h, given that b(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*w - 1025 = -84*q + 79*q, 4*w = -12. Put 5, q, -3\/2, 0.4 in decreasing order.\nAnswer: q, 5, 0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**2 + 5*l + 1. Let j be t(6). Let p(y) = -10*y + 5. Let a(z) = z - 1. Calculate j*a(i) - p(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 5*b = -1838, 16*b + 3084 = 5*x + 14*b. Suppose -3*y = -5*z + 2*z + 1866, z - x = 4*y. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*5*(-4 + sqrt(1100) + 1*(sqrt(1100) + -3))**2.\nAnswer: -111225 + 7000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 688 minutes before 1:59 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -21 + 30. Let h = x + -7. Find the second derivative of -268*n**2 + 17*n + 293*n**h + 2*n wrt n.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the third derivative of f**6\/40 + f**5\/10 + f**4\/8 + 11*f**2. Factor x(b).\nAnswer: 3*b*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 42173 and -4418?\nAnswer: 46591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2273.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of l**5\/210 - l**4\/42 - 7*l**2\/2 - 2. Let x(o) be the second derivative of g(o). Factor x(n).\nAnswer: 2*n*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-132*d**2 - 442*d**2 + 308*d**2)*(-3*d + 0*d + 4*d)*(-2*d**2 + 3*d**2 - 2*d**2) + 2*d**5 - 4*d**5 + 0*d**5.\nAnswer: 264*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**3 + a**2 + a + 2. Let q be m(2). Solve q = -2*d + 5*j - 5 + 35, 0 = -5*d + j + 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the second derivative of u**6\/240 - u**4\/16 + u**3 - 5*u. Let z(g) be the second derivative of o(g). Factor z(m).\nAnswer: 3*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1284072097 to the power of 1\/2, to the nearest integer?\nAnswer: 35834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1779\/2 + -3085\/4. Let g = n - 119. Calculate the common denominator of 123\/10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -598810*n + 8*n**2 + 598810*n - 9*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -921*k + 31. Let d(h) = -2765*h + 86. Calculate 5*d(c) - 14*o(c).\nAnswer: -931*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 694629373 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 6 = -w. Suppose -w*g = 12, f - 4*f + 45 = -3*g. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85) + (sqrt(85) - -2*sqrt(85)*-2))\/sqrt(180).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 143 - 145. Let b = -1 - -2. What is the closest to b in -3, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tttlwtptnnpwnrltltp. What is prob of picking 1 w and 1 r?\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\/7, 2\/21215, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 4*o + 4*u, 2*u + 0*u + 6 = 0. Let g be (-80)\/(-35) + o\/(-14). Find the second derivative of -3*p**g - 4*p + 3*p**2 - p - 6*p**3 wrt p.\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 190*s**2 - 3*s - 45. Let p(k) = -63*k**2 + k + 16. Determine -17*p(w) - 6*y(w).\nAnswer: -69*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/44 + 3*10\/(-165)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 0 + 432 - 66 + 375 - 1231*g**2 wrt g?\nAnswer: -2462*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**6\/u**(-2))\/(u**0)**(1\/62)*(u**(-4)*u\/((u\/(u\/(u**(2\/11)\/u)))\/u*u))**(-38) assuming u is positive.\nAnswer: u**(1000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r, 1 o, and 1 a when four letters picked without replacement from {y: 2, s: 4, o: 1, r: 2, a: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 + 2. What is the greatest common factor of b and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -2*n**2\/3 - 376*n\/3 - 17672\/3 = 0.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 1668656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/4, 0.5, -9, -3 in decreasing order.\nAnswer: 0.5, -3\/4, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:33 PM and 12:19 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 87\/2*((-75)\/60)\/(30\/16)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 6382.522ml?\nAnswer: 6.382522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3, -5, 4, 155 in descending order.\nAnswer: 155, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -2*z**2 + 64*z. Let b(d) be the first derivative of d**2 + 141. Determine n(b(i)).\nAnswer: -8*i**2 + 128*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*i + 3258 = 3*h + 2936, 3*h - i = 46 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:36 PM and 8:52 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*x**4\/7 + 14596*x**3\/7 + 1606656*x**2\/7 + 54645760*x\/7 + 819200 = 0. Calculate x.\nAnswer: -224, -80, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -16622253, -16622245, -16622233, -16622217, -16622197, -16622173?\n\"Answer: 2*v**2 + 2*v - 16622257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-10920)\/960 + (42\/12 + -4 - -7)?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 401931890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:56 AM and 11:44 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of 9817 and 6.58.\nAnswer: 64595.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**3 + u**2 - 5*u. Let g be t(4). Suppose 5*k + 6*d - g = d, 0 = 5*k + 2*d - 45. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1265)\/(-460)*(-7268)\/(-869).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 24 and 5172.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -1502\/42411?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-10)\/7*(-133)\/114. Is l at most -0.012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7443518 and 884?\nAnswer: 193531468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:36 AM and 10:56 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67439 = -4*j - 20939. Suppose 0 = -15*c - 0*c + j. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 316393.9 millennia in centuries?\nAnswer: 3163939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l + 194. Let f be v(0). Suppose -f = -3*b + 268. Let r be b\/(-42) + (-4)\/(-6). Sort 3, r, -5 in decreasing order.\nAnswer: 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/5)\/(10*16\/2080)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -58*n**2 + 3368*n + 71. What is q(58)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 467*t - 390 - 117 = 506*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*z**2 - 2*z**2 - 25*z**2 + ((-3 + 4*z + 3)*(-1 - 2 + 1) + z - 2*z - z + 2)*(-4*z - z + 3*z).\nAnswer: -12*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1016197373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -543106*p - 3*p**2 + 542983*p - 77 - 43.\nAnswer: -3*(p + 1)*(p + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2407 = -2398*u - 1531 + 6318 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2398.770109 - 2399.16. Let o = -0.67 + 1.06. Let p = d + o. Round p to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10 - -169. What is the tens digit of ((390\/18)\/(-13))\/((-1)\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + g = -25, i + 5*g + 30 = -0*g. Sort 0.4, i, -12 in increasing order.\nAnswer: -12, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the third derivative of -43*z**4\/8 + 7*z**3\/6 - 8*z**2. Let w be i(3). Does 17 divide ((-6)\/4)\/(((-18)\/w)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -16676*z - 66748. Calculate f(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 117 - 119. Which is the biggest value? (a) x (b) 5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u + 5. Let w be i(5). Suppose 3*m - 3 = f - 1, -f + 2*m = w. Solve 11 + f = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*b**3 - 25 - 59 + 1533544*b - 1533546*b)*(41*b - 246 + 246) to p*b**3 + u + q*b**4 + s*b + v*b**2 and give v.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 42 - -4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10 + 7 - 33 + 6 + 200*o + 15.\nAnswer: 200*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14276035.\nAnswer: 5, 2855207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g**2 + 6*g**2 + 0*g**2)*(144*g + 52*g**3 - 144*g) - g**5 + 2*g**3 + 67 - 67.\nAnswer: 311*g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the first derivative of -d**3\/3 - 5*d**2\/2 + 14*d - 332. Determine z(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*t + t = 20. Let g(m) = -2*m - 2. Let u be g(t). Let r = 26 - -4. Solve 4*k = -k - u*a - 5, 3*a - r = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -2*j + 2*j + j + 6. Let y(m) = 10*m + 161. Let p(h) = 7*h + 109. Let w(f) = 3*p(f) - 2*y(f). Determine -3*k(d) + 4*w(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = 4*o + 3*u - 17, 0 = -5*o - 4*u + 22. Suppose -2*n = -2*z + 24, -790*z = -795*z - 5*n - 60. Solve 18 = -2*m - 4*r - 0, -o*m - 5*r - 22 = z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2236*q**5 - 4759*q - 1830*q**4 - 6223*q**5 + 2*q**2 - 1837*q**4 + 3667*q**4 wrt q?\nAnswer: -507540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -21 - 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 4657*q - 26. Let o(v) = 14*v. Give o(n(m)).\nAnswer: 65198*m - 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2340 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1630*k**2 - 2515*k.\nAnswer: 3260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*q + 3110 = -33*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 29842\/65 - 2552\/13. Let u = 262 - v. Which is the second smallest value? (a) -7 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -4*k - 4436, -3*k + 1115 = 3*p - 1525. Let u = 886 - p. What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11526752 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 57 and 87058.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 3*v - 4 = 1, -2*v = -2*z - 2. Suppose 3*p = k - 2, 0 = 3*k - z*p + 2*p - 6. Solve -k*g = -5*a + 10, -3*g = -0*g + a - 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 61a + -31?\nAnswer: 5e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 66*x + 45*x - 19 - 97*x - x**3 + 11*x**2. Let y be g(12). Solve -2*j + y*r - 8 = -0*j, -j + 5 = 2*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k - 4*a + 12 = 0, -4*a + 2*a + 21 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -4*p**4\/7 + 174100*p**3\/7 - 1890502116*p**2\/7 - 85433537380*p\/7 + 87323865400\/7 = 0. Calculate p.\nAnswer: -46, 1, 21785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 3*w = 54 - 14, -4*a - 2*w + 140 = 0. Solve -4*o + 26 - a = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -390545573986 - 0.07\nAnswer: -390545573986.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/58803 (b) -173 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxiixiixiuxxxiixxtx. Give prob of picking 3 i and 1 x.\nAnswer: 175\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -11*c**2 - 99*c + 168. Suppose 2*q = 3*w - 39 + 2, 4*w - 49 = 3*q. Calculate the remainder when p(-10) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2021122100010 - 10?\nAnswer: -2021122100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -61*g**2 + 494*g + 6. Calculate c(7).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18)\/102*(-16)\/24?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 8657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -5*g + 2*j - 3*j, -3*g = -5*j + 40. Suppose -3*c + 2 = 5*y - 4*y, 5*c = 5*y - 30. Sort y, g, 6, 2 in increasing order.\nAnswer: g, 2, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42628 - 279458 = -10*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = 2*v + 4*p, -2*v + 2*p + 8 = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -11285*a**2*j - 1549919*a**2 + 37*j wrt j?\nAnswer: -11285*a**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be -6 + 8 - (2 + -1). Let s(y) = 5*y**2 - o - 2*y**2 - 3 - y**2 - 3*y. Let l(t) = 3*t**2 - 5*t - 7. Calculate 6*l(k) - 10*s(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1200101 - -20120?\nAnswer: 1220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 254767, 254823, 254915, 255043, 255207?\n\"Answer: 18*g**2 + 2*g + 254747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1960*w**3 - 636895*w**2 + 363460*w - 51900 = 0. What is w?\nAnswer: 2\/7, 2595\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 18.62 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(612) - (sqrt(612) + sqrt(612) + 0)) + -2 + (sqrt(612) - (0 + (sqrt(612)*-2 - sqrt(612)) - sqrt(612))))*-3)**2.\nAnswer: -864*sqrt(17) + 88164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -54, -62, -70, -78?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 111\/21934730 and -21\/17590.\nAnswer: 21934730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence raq when three letters picked without replacement from aqrwggna.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -416, -401, -376, -341, -296, -241, -176?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 203 a factor of 174222913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b = -3*c + 13, -3*b - 1 = 5*c - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 133542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 13.5? (a) 0 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -q + 6*q - 153, -4*q - 4*y = -144. Suppose 2*r + r - q = 0. Suppose 0 = 2*g - 5 - 15. Calculate the lowest common multiple of r and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**2 - 24*r - 11. Let w be o(-22). Calculate the highest common divisor of w and 715.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 213 and 22791.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is the next term in 27887, 55778, 83673, 111572, 139475?\nAnswer: 167382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k = 12*k + 3*f - 3321, 3*k = -4*f + 3318. What are the prime factors of k?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {e: 3, c: 3, o: 1, d: 1, q: 7, x: 2}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 192 + -2?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 + 4*y**2 - y + 1. Let l be j(-3). Suppose -17*b + 8 = -l*b. What is the highest common divisor of b and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 67, 65, 47, 1, -85, -223, -425?\n\"Answer: -2*v**3 + 4*v**2 + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 72410 and 1430.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v + 18. Suppose 0 = -4*i + 16 - 8. What is the remainder when i - (3 + -6 - 3) is divided by s(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 604917 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 8*b - 18*b. Factor 1191*l**2 + 2772*l + 1452 + 20*l**3 - 79*l**3 - 67*l**b + 3*l**4.\nAnswer: 3*(l - 22)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/15*(-15)\/10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -86394 - -86416. Suppose -a - 2*a + 3102 = 0. Calculate the highest common divisor of u and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.015? (a) 0 (b) 0.2 (c) -0.2 (d) 22 (e) 1639\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w**5 + 54903*w**4 - 9463839*w**3 + 28007241*w**2 - 18598302*w = 0. What is w?\nAnswer: 0, 1, 2, 171, 18127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + b = 5*b + 12, -5*t - 9 = 3*b. Suppose 3*g + 3*i - 4 = 2, -5*g + 2*i = -24. Suppose t = -n - 4, n - 5*n = -g*x + 60. Which is greater: x or 9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 12 + -15 - (-4 + 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4071 and 339771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**2 - b - 10. Let x be j(-3). Find the second derivative of 11*a**4 + 7*a - 5*a**4 + x*a + 6*a**4 wrt a.\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 502 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nffnnkfffkn. What is prob of sequence nknf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -405615903*f**4 - 741526*f**2 - 163*f - 1 wrt f.\nAnswer: -9734781672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -103 (base 12) to base 2\nAnswer: -10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and 15760103?\nAnswer: 3152020.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 25\/8 in -2\/3, -4, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7497, 12838, 21739, 34200, 50221?\nAnswer: 69802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 + 1 + (1 - 9 + 2)*(2 - 4 + 1))*(x**2 + 3*x**2 - 5*x**2 + (0*x - 2*x + 0*x)*(-x + 4*x + x) + 2 - 2 - 2*x**2).\nAnswer: -99*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) 0.44 (c) -18\/41 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -6*y + 6*y**2 + 17*y - 2*y**3 - 5*y. Let r be p(5). Round r to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.08 times -104\nAnswer: -8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*v + 18*v - 252 = 0. Let t be (2\/(-3))\/((-6)\/v). Let j(f) = -2*f - t + 11 - 4. Let m(s) = -6*s. Give m(j(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2920257.9 seconds in hours?\nAnswer: 811.18275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 725*u**2 + 952*u**2 - 1987*u**2)*(-2 + 4 - 1)*(2 - 2 + u).\nAnswer: -310*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 + 1 - 34) + 17 + 19 - (-140 - 0).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ppssseesnpssnns. What is prob of picking 1 e, 2 p, and 1 s?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/13, -471, 23540 in increasing order.\nAnswer: -471, 2\/13, 23540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5852 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) -3 (c) -1 (d) 0.5 (e) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000826 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -12 (b) -0.07 (c) 1242 (d) 18 (e) -1 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 - -14b27a5?\nAnswer: 14b27a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -92575 (base 11) in base 4?\nAnswer: -200333032","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Is -3\/7 at least -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -12, -56, -132, -240, -380, -552?\n\"Answer: -16*x**2 + 4*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that 3*j**2 + 6*j - 9 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in twenty-nine halves of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -0.4, -1, -12531, 0.4 in descending order.\nAnswer: 0.5, 0.4, -0.4, -1, -12531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 2390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64070 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 305521967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f + 0*f - 2*f)*(5*f**3 - 4*f**3 - 3*f**3) + 6*f**4 - 4*f**4 - 7*f**4.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t**3 + t**2 - 8*t - 2. Suppose -14 = -4*h - 30. Let q be k(h). Let n = q + 21. Solve -y = -0*y - n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 times 85697\nAnswer: -257091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -0.4*-65.7\nAnswer: 26.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 539205, 4313076, 14556447, 34504068, 67390689, 116451060?\n\"Answer: 539125*p**3 - 4*p + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o**3 + 30*o**2 + 12*o - 96. What is the remainder when n(30) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*h + 4*w - 128, -4*h + w = -35568 + 35612 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**4 + 5*f**3 + 9*f**2 - 5*f - 1. Suppose -3*s = 28 + 2. Let w(x) = -4*x**4 - 16*x**3 - 28*x**2 + 16*x + 2. Let l(c) = s*o(c) - 3*w(c). Factor l(h).\nAnswer: 2*(h - 2)*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1056 = 66*t - 18*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -378, 5, 1\/2, -14.73?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Solve -7*m - 19 = 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 490, 1867, 4154, 7339, 11410, 16355, 22162?\nAnswer: 28819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 13*m**3 + 16*m**3 + 18*m**3 - 23*m**3 - 55*m - 2 + 3*m**3 - 26*m**2.\nAnswer: (m - 2)*(m + 1)*(27*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4 + -2. Let p(k) = 2*k**2 + 2*k - 3. Let x be p(-4). Let a be 6\/((-40)\/x + g). Calculate the greatest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of u**5\/20 - 2*u**4\/3 - u**3\/6 + 5*u**2 + 2*u. Let a be m(8). Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 108\/26 - (-26)\/(-169). Let k(s) be the first derivative of -s**2\/2 + 5*s - 1. Let f be k(b). Which is greater: f or -2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 2 f when three letters picked without replacement from fkffkff?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 5.25 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 117 + 161 - 235 - 2*o.\nAnswer: -2*o + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 44 and 4972.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o**2\/5 + 264*o\/5 + 43168\/5 = 0. What is o?\nAnswer: -76, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 4166*h + 120797. Calculate z(-29).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 92949?\nAnswer: 3, 30983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**3 + 18*n - 1. Let t(h) = 3*h**3 + 7*h**2 - 36*h + 22. Give -t(b) - 2*x(b).\nAnswer: -5*b**3 - 7*b**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3744\/567)\/13 + (-2)\/9. Sort -1\/122, w, -4 in descending order.\nAnswer: w, -1\/122, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39917 = -3*k + 4*b + 16362, -3*b = 3*k - 56286. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t - t - 4. Suppose 3*c - 1 = t. Let m(f) = -2*f**3 - 2*f**2 + 3*f + 2. Calculate the least common multiple of m(-2) and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 18 + 8 = 0. Suppose 2*b + 30 = -3*b. Let c = b + h. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2674095 and 3726?\nAnswer: 144401130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vv when two letters picked without replacement from {z: 3, v: 5, d: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42768?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 6 + 1)*(-2*w + 0*w + 11*w + (-3 + 1 + 1)*(0 + 0 - w) - w - 2*w + w + 30*w + 51 - 51).\nAnswer: -76*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 7\/((-7)\/(-4)) + (-10)\/5. Sort -4, d, -116, 3 in descending order.\nAnswer: 3, d, -4, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 63*a**3 + 1833*a**2 + 181*a + 219. Give w(-29).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -6*o - 31. Let m be q(-10). Suppose 36 = 5*b - m. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 6 * 173.\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -13*k + 108. Let l(t) = -2*t**2 - 2. Give l(a(u)).\nAnswer: -338*u**2 + 5616*u - 23330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-1*sqrt(52))**2 - (-3 + (0 + sqrt(13))*-3).\nAnswer: -205 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*v - 5*n + 130 = 5*v, -8*v = -25*v + 5*n + 420 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 7.715649 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/26? (a) -1 (b) -2 (c) 144.7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 2*l + 12 = 0. Sort l, 0.5, -2.\nAnswer: -2, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 91.34102 - 87.7209888. Let j = g + -3.62. Round j to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1031586 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 195 + -192. Calculate the least common multiple of j and 107.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14 + 4180\/297)\/(14\/108).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 56\/24 + 4\/6. Suppose -2*f + d + 16 = 0, 5 = -2*f + t*f - 2*d. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -12*g + 1. Let x(y) = -y. Let c(m) = 4*w(m) - 44*x(m). Let n be c(0). Suppose n*u + 2 - 6 = 0. Solve 2*s = 3 - u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:58 AM and 2:53 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 8 - 3 = 0. Let s(j) = -8*j**2 - 2*j + 15*j**2 + 3*j + 46*j**2. List the prime factors of s(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 58.25492 decades to centuries.\nAnswer: 5.825492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -722623*g**6*r**3 + 1246341*g**2*r**3 + g**2*r wrt g?\nAnswer: -86714760*g**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 2 = 4*f, -2349*f = -2349*f - 3*z - 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5532*q*t**5 - 12033*q*t**4 - 27*q*t**2 + 116*q*t wrt t?\nAnswer: -331920*q*t**2 - 288792*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 7233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1097 divided by 4.\nAnswer: 1097\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 35518590 a multiple of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1455*x**4 - 11*x**3 + x**2 + 5*x - 28867 wrt x.\nAnswer: 17460*x**2 - 66*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -402 - 320*v**2 + 61*v**2 - 227*v**2 + 68*v**2 + v**2 wrt v?\nAnswer: -834*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the third derivative of q**5\/12 + q**2. Let s be i(1). What is the third biggest value in 2\/5, s, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.1 + -2. Suppose 2*u + u + 30 = 0. Let v = u - -13. Sort v, o, -0.4 in decreasing order.\nAnswer: v, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the third derivative of -9*v**7\/70 + 19*v**6\/120 - 269*v**3\/2 + 250*v**2. Differentiate p(r) with respect to r.\nAnswer: -108*r**3 + 57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 98d7 (base 14) to base 5\nAnswer: 1321303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**2 + t + 3003. Let o be w(0). Suppose 3*c - 163485 = -2*z + 5*z, z = 2. Suppose -5*k + c = -o. Round k to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -350278091 + 1\nAnswer: -350278090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 6*p - p. Let y = 8.21 - 0.91. Let k = y - 8. What is the second biggest value in p, k, 2\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 6 = -a + 7, j = 3*a - 16. Is j bigger than -1\/1210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -750d - -4?\nAnswer: -7509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*n + 81*n = 39*n - 60 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4122 and 6894?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 37957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -74 (base 12) to base 2.\nAnswer: -1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 224*v + 3024 = 336 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -44 - -52. Let m(p) = -p + 6*p**3 - 5*p**3 + 4*p**2 + a*p + 7 + 3*p**2. Suppose 3*r = -7 - 11. Calculate m(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*j**2 - 8*j**2 - 2*j**2 + 12*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -22667*u**2 + 45332*u + 4 = 0.\nAnswer: -2\/22667, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 + -9. Suppose 5*d + 2 = 4*j, 2*j + s*d + 3 = 5*j. Let o = -4229 + 4235. Solve -5*i + o = -j*k - 4, 3*k = 4*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1628615 to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 1099*y**2 + 2*y. Let i be (-6)\/(-5) + 4\/5. Let z be c(i). 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: Collect the terms in -10*c**2 - 681*c**2 + 1687*c**2.\nAnswer: 996*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 4 - 7)*(2*w + 0*w - 5*w)*(2 - 1 - 2)*(4 - 3 - 4).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1097463, -2195239, -3293015, -4390791, -5488567, -6586343?\n\"Answer: -1097776*m + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 497 is divided by 136.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 456*d**2 - 38*d. Let v(a) = -35*a**2 + 3*a. Give 6*c(f) + 76*v(f).\nAnswer: 76*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(92\/(-1))*-1)\/(174*(-18)\/(-37584)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.027 + 13.028. Let y = h - 11. Round y to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 25381800 and 9558.\nAnswer: 228436200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 9*i - 3. Let c(m) = m + 22731. Determine q(c(y)).\nAnswer: 9*y + 204576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*b - 259 = 5*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -138999\/16 - -8693. What is the common denominator of -1\/10 and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -5.3551 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 143*c - 2*c**3 - 7*c**3 - 6*c**2 - 3*c**2 - 2*c**2 + 5*c**3 wrt c.\nAnswer: -24*c - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29517907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -131*h + 9*h = -265475 + 19523. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2088699460?\nAnswer: 2, 5, 23, 4540651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 10102.378 take away -2?\nAnswer: 10104.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 109*x**6 + x**5 - 63*x**4 + 199*x**2 - 61*x + 1 wrt x?\nAnswer: 13080*x**3 + 60*x**2 - 1512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -381*z**2 + 0 - 25*z**4 + 383*z**2 + 34*z**4 + 233*z - 1 to the form v*z**3 + q*z + w + m*z**4 + p*z**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 156877, 3\/5, -1 in ascending order.\nAnswer: -1, 3\/5, 156877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 5*b = 22, -i + 8 = 4*b + 3. Suppose 55 = 4*v - i. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 4435228 and 6652857.\nAnswer: 11088085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.249 + 1672.751. Let g = -1656.39 + j. Round g to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59097*f - 29550*f - 704*f**2 - 29549*f.\nAnswer: -704*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2992 or 3028?\nAnswer: 3028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 70\/11?\nAnswer: 70\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 5 (b) -15 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1728.344 rounded to the nearest 10?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**3 + 10*c**2 + 8*c + 6. Let t be h(-9). Let d(i) = -i + 3. Let u be d(-3). What is the greatest common divisor of t and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h + 36 - 43 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-91)\/(-14) - 6 - 1\/4. Which is the fourth biggest value? (a) -0.3 (b) -0.4 (c) r (d) -11\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2820826374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 - 3. Suppose p - c = -2*r - 3, 4 = -4*p. Let d be (1\/4 - r)\/2. What is the second smallest value in 1\/4, d, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1312800308 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -290*k. Let s(r) be the first derivative of -5*r**2\/2 - 1547. Calculate s(a(w)).\nAnswer: 1450*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are -7 and -0.163107 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 98\/1395 and 32\/1005?\nAnswer: 93465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -5 - (-3 + 1 + 2 - 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1766 + -1740.76. What is l rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 78*s**2 - 60*s - 61. Is l(-51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*z**3 + 6*z**3 + 23121 + 23163 + 0*z**3 - 46284.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 260 (base 8) to base 10\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -25*q + 1019. Determine r(41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4712779*h - 35690973.\nAnswer: -4712779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -17*n - 26*n - 11*n - 923*n**2 + 53*n as v*n**2 + c + g*n and give v.\nAnswer: -923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 11*q + 1826. Let g be v(-31). Calculate the highest common divisor of 3795 and g.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i, 1 b, and 1 h when four letters picked without replacement from bibhiibb?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 107a + -4d0?\nAnswer: baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -44, -28, -12, 4, 20, 36?\n\"Answer: 16*q - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes before 6:11 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11329.\nAnswer: 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 691*l + 3766. Give p(-5).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n - 4*g - 12 = -2*n, 4*n - 18 = 2*g. Let i(a) = -4 + 2*a**3 + 0*a - 6*a**3 + 2 - 2*a. Let p(b) = -b**3 - b - 1. What is n*p(o) - i(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 8:21 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 364712, -4, 5 in descending order.\nAnswer: 364712, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 184494103 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 976 divide 2630798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the third derivative of v**6\/120 - 11*v**5\/60 - 3*v**4\/8 - 5*v**3\/6 - 16*v**2. What is the tens digit of q(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 300 - 298. Suppose -2*v + 10 = 2*m - 5*v, 4 = -v. What is the fourth smallest value in u, 0, -0.2, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 17324, -2\/9, -0.2, 2\/11, 2\/313, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (r - 12*r + 6*r)*(4*r - 5*r - 2*r) + 4*r**2 - 2*r + 2*r.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide (169\/(-13) - 47)*-48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-12))\/(18\/270).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 13816.\nAnswer: 1\/3454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(126)\/sqrt(144))\/(-1*sqrt(175))*-1.\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 2, -175 in descending order.\nAnswer: 2, -0.5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes after 2:12 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 + -24)\/(-3)*(3 - 4). Let k(o) = -o**3 - 5*o**2 + 14*o + 2. Let n be k(z). Suppose 2*g = 8, -n*g + 5*g = -4*v + 496. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ggw when three letters picked without replacement from wwggg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 31152, 30652, 30152, 29652?\n\"Answer: -500*o + 31652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**3 + y**2 + y - 3. Let s(j) = 73*j**5 + 45*j**3 - j**2 - 819*j + 5. Let z(w) = g(w) + s(w). Find the second derivative of z(x) wrt x.\nAnswer: 1460*x**3 + 276*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 65761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 - -16. Suppose -5*u + p = -47, 5*p + i + 33 = 4*u. Solve -u = -2*r - r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 1 = 49. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 2, -4, 25, 1 in descending order.\nAnswer: 25, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*c + 9*c - 8*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 649.8 rounded to the nearest ten?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000005405 to 7 decimal places.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 5\/1956 or -1?\nAnswer: 5\/1956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 61033897 a multiple of 3042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let -3*k**3 + 1638*k**2 + 331113*k = 0. What is k?\nAnswer: -157, 0, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 18 + 30 = 0. Let o = u + 43. Calculate the greatest common divisor of 135 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*i**4 - 18984*i**3 - 18988*i**2 = 0. Calculate i.\nAnswer: -1, 0, 4747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 0*x - 135*x**3 + 3*x**2 - 2*x**2 + x. Let n be z(-1). Suppose 5*o - 2*g - n = 138, -4*o + 224 = -3*g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express i**2 - 3*i**2 + 3*i**2 + (-3 + i + 3)*(-7*i + 96 - 96) as z*i + n*i**2 + l and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-310)\/(-14) + -2*(-13)\/(-182) + 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -29287545 by 5857509.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.4 and -2.78.\nAnswer: -1.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -562\/175 + 12\/175. Find the common denominator of k and 10\/943.\nAnswer: 6601","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k**4\/7 - 60*k**3\/7 + 502*k**2\/7 - 1020*k\/7 = 0.\nAnswer: 0, 3, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 54032016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -6*r + 5. Suppose r*b - 18 = 7*b. Let i(w) = -573*w + 4 - w**2 + 0*w**2 + 569*w. What is i(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pkn when three letters picked without replacement from {w: 4, n: 4, h: 5, p: 6, k: 1}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 2228?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**2. Let r = 39 - 22. Let w(k) = 9*k**2 - 6*k. Let m(c) = 27*c**2 - 17*c. Let o(y) = r*w(y) - 6*m(y). Determine o(l(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + 1 + (3 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1, 0, -3 in decreasing order.\nAnswer: 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -2 - (6 + (6 + -1 - 6) - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**2 - 7*b + 1. Let a(i) = -7*i. Let d be a(-3). Let x = 1 + 3. Suppose p = x*p - d. Determine j(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2*q + 8*q**2 - 11*q**2 + 2*q**2)*(-q + 40*q**2 - 72*q**2 + 38*q**2) to the form n*q**3 + f*q**2 + a*q + o + v*q**4 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00184017 to 5 decimal places.\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 - -9. Let q be 0\/(j\/(0 + -2)). Suppose 4*s + 4*g - 50 + 14 = q, 4*s - 3*g = 8. Solve 0 = n - s*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 - 3*w**2 + 3*w - 1. Let c be i(2). Let z be (c\/(-9))\/((-1)\/(-3)). Let p = 0 + 0. What is the second biggest value in -1\/5, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) -2\/11 (b) 245.7 (c) 0.5 (d) 4 (e) 2\/3 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2139 - -2146. Solve -8 = 13*c - 17*c, -x - m = -4*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 46\/5 of a microsecond?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 612 by 294.\nAnswer: 102\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -20157 and -264?\nAnswer: 19893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 26*w**3 - 1 + w - 6*w**3 - 16257*w**2 + 16256*w**2 + 11*w**3 to the form r*w + c*w**2 + m*w**3 + v and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - (-4 + -6)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 54, 64, 86, 126, 190, 284, 414?\n\"Answer: r**3 + 3*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -397*b**2*i**2 - 156*b*i**2 + 2*i**2 wrt b.\nAnswer: -794*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10686, -21432, -32234, -43086, -53982, -64916, -75882?\nAnswer: -86874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 + 3 - 2*y - 17*y**2 + y**4 + 15*y**2 to the form a*y**3 + o + x*y**4 + j*y + q*y**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 3*k = 366, 3*k + 214 = 3*a + 2*k. Let g(z) = 70*z**2 - 5*z - 6. Let s be g(-1). Let j = a - s. Solve j*o + o - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90 a factor of 19655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**2 + z + 1. Let w(a) = -8*a**2 - 6*a - 4. Calculate 4*g(d) + w(d).\nAnswer: -4*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3, -13856, -3.\nAnswer: -13856, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1584632.\nAnswer: 2, 7, 28297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of -q**7\/399 - q**6\/285 + 13*q**5\/190 + q**4\/114 - 4*q**3\/19 + 1714*q + 1. Let u(d) = 0. Calculate d.\nAnswer: -4, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 651 divide 12844230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (262 - 279) + (5 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-7 + 2)\/(1\/(-19)). Suppose 3*g + 2*b + 160 = 0, 0*g + 2*b = -2*g - 104. Let s = y + g. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -49430514255 and 4.3?\nAnswer: 49430514259.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be (468\/(-20))\/((-21)\/350). Let p = 650 - t. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sqsffpppp. What is prob of sequence qf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v - 4 = -k, 261*k + 5*v = 258*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 2*h + 34. Let u be o(-22). Let t(z) = -6*z + 8*z - 4*z - 2*z**2 - 8*z**2 - z**3 - 15. What is t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, -2, -2\/11, 1\/5, -9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1908 - 424. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 2*s = -22, -3*s = 4*l - 9*l. Suppose -8 = l*k - 5*k, m - 105 = -k. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*y + 5*y - 6*y - 2*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/285*-57)\/((-26)\/10).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -306*g + 518*g + 1321*g to the form v*g + t and give v.\nAnswer: 1533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*s - 102*s - 1197 = 4*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the second derivative of -5*d**4\/12 + 1285*d**3\/6 + 1295*d**2 + 3671*d. Factor h(l).\nAnswer: -5*(l - 259)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 82 divide 2460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-56)\/4*(-21)\/3*36\/147.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 + 4 - 1)*(4 + 0 - 1)*(4*m**2 - 3*m**2 + 4*m**2)*(-1 + 2 - 6) to the form d*m + w + f*m**2 and give f.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -864.5 - -865. Let x = 1.81 + 29.19. Put f, x, -2 in descending order.\nAnswer: x, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1200823, 2401777, 3602731, 4803685?\nAnswer: 6004639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2512649 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/1389744 and -121\/521154?\nAnswer: 4169232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2869?\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**2. Let y = 247 - 241. Let o(l) = -214*l + 6 - y - 32*l. What is o(q(b))?\nAnswer: -246*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 27 + -19. Suppose 29 = 5*d + 3*h + t, -d + 4*h - 5 = 0. Solve -d*a + 2 = -i, -i + 4*a = 2 - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.7 - -5.3. Let k = 6.7 - l. Suppose -4*o + 12 = -4*s, 4*s = -3*o + 2*o - 12. What is the third biggest value in k, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -14*d**3 + 912*d**2 - 3586*d + 2928.\nAnswer: -2*(d - 61)*(d - 3)*(7*d - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 3*u**3\/4 + 1893*u**2\/4 + 247905*u\/4 + 7595775\/4 = 0. Calculate u.\nAnswer: -465, -121, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/1*(-2)\/(-2). Suppose -4*n - 6*m - 8 = -3*m, 0 = n + 5*m + 2. Let t be (-1 + -10)\/(-3 - n). Solve 2*g = g - 4*k + t, -3*g + v*k = -1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1238958843\/1258 + 984864. What is the common denominator of -27\/4 and y?\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*d**6 - 4*d**4 - 27*d**3 + 4*d**2 - 380*d + 1 wrt d?\nAnswer: 240*d**3 - 96*d - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2*(-3)\/2*-1. Suppose 50 = 2*w - q*w + 3*m, 5*w - m = -292. Let t = 3 - w. What are the prime factors of t?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 772 - 777. What is the third smallest value in s, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (6 + 1 - 6)*(186 - 15*g - 186) - g - 3 + 3 as c*g + l and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1\/5 (c) -5\/8 (d) -370 (e) 3 (f) -0.08 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjjnjjnjjjnjjjjjj. What is prob of picking 3 n?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (-17 - (15 - (-16 + 57))) + -3 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 8441.689mg to nanograms.\nAnswer: 8441689000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 less than 1249146?\nAnswer: 1249146.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19 - 28 - 14 - 16 + 2*c.\nAnswer: 2*c - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 76, 154, 232, 310?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 18.16 - 17.86. Put -0.79, -0.3, a, 4\/7 in ascending order.\nAnswer: -0.79, -0.3, a, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express l**4 + 3*l - 3*l + l + 3 as b*l**2 + k*l**3 + c + g*l**4 + d*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**3 - 15*j**2 + 13*j + 30. Is k(-18) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-9)\/27 - 17\/3 - -1. Let j be (3\/o)\/(8\/4560*-6). What is the greatest common divisor of 76 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*b**5 - 2*b**5 - 4*b**5 + 5*b**5 - 5*b**5 - 2*b**5 + 2*b**4 + 2*b**5 - 2*b**4 + (-1 + 1 + 2*b**3)*(6*b**2 - 4*b**2 + 0*b**2) + 2*b**5 + 8 + 22 - 2.\nAnswer: 4*b**5 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 201*q - 10977. Calculate the remainder when u(56) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -103.977926 to 1 dp.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-2025)\/595 - -3) + (-2)\/(-7). Let t = 2 + -2. Suppose -3*s + w - 11 = 2*w, 5*s = 4*w + 10. Which is the nearest to t? (a) z (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -685*j**6 - 1450*j**2 wrt j?\nAnswer: -82200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 306.5858kg to tonnes.\nAnswer: 0.3065858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhhsshssh. Give prob of picking 3 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 77 - 65. Let f = 19 + -13. Suppose -f*n + 3*n = -69. Calculate the remainder when n is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -11*c**2 - 5*c - 8. Let p be j(9). Let z = p + 1441. Let i = -264 + z. What are the prime factors of i?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1402 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 53032083 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l + 23 + 89. Let w be (-18 + 15)\/(((-8)\/(-82))\/4). Find the common denominator of 23\/2 and ((-21)\/l)\/(27\/w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 154 - 1074\/7. Let i = 0.03 - -3.97. Let x = 124 - 122. Which is the closest to -1\/2? (a) v (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 109 by 2637.\nAnswer: 109\/2637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24)\/52*(-378)\/(-336)*20\/(-15)?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 257988505 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4\/1757 - 5291\/8785. Put f, -1\/6, -345 in decreasing order.\nAnswer: -1\/6, f, -345","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/(-14) + 44\/7. Let b(h) = 1 - z + 3*h - h. Let r(k) = k - 1. Let x = 124 + -127. Determine x*r(o) + b(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 18 and -67\/4116.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -5*q**2 - 41*q - 5. Let k(h) = h**2 + 8*h + 1. Calculate -11*k(z) - 2*v(z).\nAnswer: -z**2 - 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (7\/(105\/6))\/1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 5312302 by 130.\nAnswer: 2656151\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 3 = 4*i. Let j be (1 - i)\/(-5 - -4). Solve -v + 9 = 5*u, 4*v + 2 = -u - j*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 23 + -15. Let u(a) be the first derivative of a**2 + a - 3. What is the units digit of u(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-14)\/7)\/(6\/21))\/(1\/1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the third derivative of n**4\/6 - 29*n**3\/3 + 43*n**2. Let c be v(15). Solve 3*z + 17 = a, c*z - 2*a - 2 = -4*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 279510014 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q + 9*q + 165 = 3*r, -277 = -5*r + 4*q. Calculate the lowest common multiple of 9 and r.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 89 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -246 = 567062*v - 567144*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1473 and 82979.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -134*o**2 - 2497504*o - 223656.\nAnswer: -2*(o + 18638)*(67*o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 566 - -188. Suppose 0 = -3*o + d + 248. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f*(f\/(f\/(f\/(f**3*f*f))))\/f))\/f)**(-1\/5)*(f\/f**10)\/(f*(f**31\/f)\/f*f*f) assuming f is positive.\nAnswer: f**(-209\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wtdwizwzawziwztddddt. Give prob of picking 1 w and 1 a.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be -6 - (0 + 6345\/(-25)). Let g = s + -247. Factor -g - 2\/5*h**4 + 2*h**3 + 14\/5*h - 18\/5*h**2.\nAnswer: -2*(h - 2)*(h - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 168912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -113 - -214. Let c = -96 + l. Let k be 0 + 0 + 6\/(-33). What is the nearest to -2\/3 in -4, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -9.6 and 2893.12?\nAnswer: -27773.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 7*t + 676. Let b be q(-12). Calculate the highest common factor of 32 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 362.14 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 178281355.\nAnswer: 5, 7, 37, 71, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 8*h**2 - 22*h + 11. Let g(i) = i**2 + 2*i - 1. Let q(o) = -66*g(o) - 6*y(o). Let s(c) = 4*c**2. What is s(q(m))?\nAnswer: 51984*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 37*y + 428 - 391 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 3*m**4 + 4*m**3 - 9*m**2 - 2*m. Let r = 82 - 85. Let l(f) = 2*f**4 + 4*f**3 - 8*f**2 - f. Let n(i) = r*v(i) + 4*l(i). What is k in n(k) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*z**2 - 45*z**3 - 119 - 264 + 4*z**2 + 80 - 2*z.\nAnswer: -45*z**3 - 2*z**2 - 2*z - 303","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -931\/172 + 7\/43. Let r = -6\/239 + -799\/15774. Find the common denominator of r and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -29 divided by -29?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 456 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1*5\/2*(-19 + 17). Sort 0, z, 2, 5 in decreasing order.\nAnswer: 5, 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 486 divided by -9.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 - 0.3. Let x(g) = g**2 - 4. Let y be x(-2). What is the nearest to y in -0.1, -3, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 91034129 and -45.5952.\nAnswer: 91034083.4048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d**3 + 6*d**3 - 2*d**3)*(4863 + 8174 + 7704 + 522 + 429).\nAnswer: 43384*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 - 8. Solve 3*r - 19 = -s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -1454*d - 7116. Let g be p(-5). Solve -146*a - g = -124*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -52*g**3 - 3*g**2 + 2*g. Let k(p) = 50*p**3 + 4*p**2 - 2*p. What is -4*j(t) - 3*k(t)?\nAnswer: 58*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/2321304 and -89\/30757278.\nAnswer: 123029112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1469, -1501, -1537, -1577, -1621, -1669?\nAnswer: -1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.2 (c) -1.526 (d) 5 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c. Let b(n) = -19475*n. Let l(o) = 3*b(o) - 1425*d(o). Let r be l(-6). Suppose -r = 2*x + x. What is x rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o + 4*v - 11, 0 = 2*o + 3*o - 5*v + 5. Solve 5*s - 23 = z, s = 3*z - 0*s - o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the third derivative of 7*k**5\/5 - 65*k**4\/6 + 4*k**3 - 2*k**2 - 1. What is x in s(x) = 0?\nAnswer: 2\/21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/4*(-24)\/6)\/(139\/1390)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*l**2 + 24 + 2 + 11*l**2 - 26.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.03? (a) -37 (b) -1\/6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**3 + 11*m**2 - 10*m + 29. Let s be t(-12). Suppose 5*q + 25753 = z, -4*z + 0*q = -s*q - 102952. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -58940, -58939, -58938, -58937?\nAnswer: -58936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 366610649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -145 - -24144. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -2*k**3 - 55*k**2 - 28*k - 30. Let d be q(-27). What is the fifth biggest value in 2, 4, 5\/4, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 697891017.\nAnswer: 3, 3527, 65957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1673 + 1946. 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 be 1 + (-5 - 67658\/(-16913)). Let l = y + 9792603\/67652. Let g = 144 - l. Which is the closest to -0.7? (a) g (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - v = 675, -3*l - l - 5*v = -2727. Let n = l + -455. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -3 - 5. Suppose 0 = -4*v - r*p + 126, -4*v + 141 - 5 = 4*p. What is the remainder when 110 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 25370926*q**4 - 16282182*q + 1 wrt q?\nAnswer: 304451112*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1839389, 7357494, 16554335, 29429912?\nAnswer: 45984225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 - (-30 - (4 - 25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.41694 and 158.8.\nAnswer: 158.38306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 43, 40, 37, 34, 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 77427217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0375308 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -2*l**3 - 22*l**2 - 17*l + 35. Let x be w(-10). Sort -8, x, -5, 14.\nAnswer: -8, -5, x, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -26*c + 29*c - 9. Suppose 4*k = 5 + c. What is the third derivative of 23*p**4 + 4*p**k + 4*p**2 - 5*p**5 - 23*p**4 wrt p?\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-14)\/105)\/((-3)\/(-5)). What is the nearest to -1 in c, 2\/3, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.009 + 0.991. What is the closest to 0 in u, 2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 735 divided by 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -9*m + 25. Suppose y = -3*p + 2*y - 337, 5*p - y = -565. Let i = -73 - p. Calculate the remainder when i is divided by v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -68.74 + 258.93. Round r to 0 dps.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53\/5 of a millisecond in microseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 49167 and 49167?\nAnswer: 49167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c - 3. Let l be o(8). Suppose -l*i + 72 = -2*i. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sqqssss. What is prob of sequence sqss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -7363 - 5?\nAnswer: -7368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 138, 5\/1627 in decreasing order.\nAnswer: 138, 5\/1627, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 6 - 1)*(-4 + 2 + 3 + (4 - 3 - 2)*(27 + 16 + 7))*(-2 + 2 - 3*q).\nAnswer: 441*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -39 (b) -3\/7 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 271, 265, 249, 217, 163, 81, -35?\n\"Answer: -k**3 + k**2 - 2*k + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n + 3*n - 2*n)*(2*n**2 - 8*n + 7*n - 4*n**2).\nAnswer: 2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (2*q**2 - 3*q**2 - 4*q**2)*(-q**2 - 33*q + 36*q + 2 - 8) + 584*q**4 - 309*q**4 - 306*q**4 in the form c + x*q**2 + i*q**3 + b*q + f*q**4 and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lck when three letters picked without replacement from tcctkcclecce?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -108*s. Let b = -3886 - -3751. Let z(f) = -f. What is b*z(n) + v(n)?\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -180*a - 1608. What is c(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(5\/7)\/(c\/(c**4*c)))\/(c*c**3*c*c*c**(-4\/5)) assuming c is positive.\nAnswer: c**(-17\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/8 and 33\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -10 (b) 2\/5 (c) 4\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 7 (c) -0.1 (d) -4 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2791\/(-35) - (-4)\/(-10). Let n = c - -80. Find the common denominator of n and 15*(-70)\/(-15)*(-108)\/(-1050).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b + 0*b - b)*(9282 + 4466 - 2092 + 5314).\nAnswer: -16970*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence id when two letters picked without replacement from cindc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 60891\/7 + -8701. Let y = 1 - 2. Are v and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 277321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 676, 681, 696, 727, 780, 861, 976?\n\"Answer: o**3 - o**2 + o + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:57 AM and 12:09 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.72 - -1.28. Put 7, b, -1\/7 in decreasing order.\nAnswer: 7, b, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, d: 1, m: 2, f: 2}. What is prob of picking 1 f, 1 d, and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/14*18\/(648\/(-126)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10\/3 + -4. Let g = 29 - 30. Which is the smallest value? (a) g (b) 1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - 0.7. Let l = 519 - 456. Let r = -68 + l. What is the closest to v in r, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8 (base 12) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -332*p + 323*p + 10 = -71. Which is the second biggest value? (a) -5 (b) -0.9 (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2392, -2389, -2386, -2383?\n\"Answer: 3*s - 2395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**2 - 16. Let l(q) = -44*q**3 + 4*q**2 + 88. Calculate -l(u) - 5*s(u).\nAnswer: 44*u**3 + u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3585 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**4 + 3360*w**2 + 12*w - 2323. Let o(u) = 2*u**4 - 10081*u**2 - 32*u + 6969. Let f(t) = -8*d(t) - 3*o(t). What is the derivative of f(v) wrt v?\nAnswer: 8*v**3 + 6726*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 12, c: 1}.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1338, -1122, -906, -690, -474?\n\"Answer: 216*y - 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 14*q**2 - 16*q**2 + 21*q**2. Let w(l) = 14*l. Give u(w(p)).\nAnswer: 3724*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1212 is divided by 155.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5388, 0.2, 0.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*v = 18*v + 1482. What is the remainder when v is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (29272\/12)\/((-8)\/(-9)). Let h = -2731 + q. Find the common denominator of h and (-3638)\/(-816)*(-2)\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 547 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(99) + sqrt(99))*-2 + 6*sqrt(99)*-1)\/(4*-1*sqrt(144)*-1).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1770559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 - 5. Let l be (-2 + 0)*(m - 4). Suppose 2*w + l = 6. Solve -9 = -4*x - w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the first derivative of -b**6\/180 - b**5\/120 + b**3 + 2. Let m(q) be the third derivative of r(q). What is the second derivative of m(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than or equal to 2\/15577903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from lllulluulllullulluu.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 + 2*p**2 - 2*p**2 - 6 + p**2 - 6*p**2 to n*p**2 + x*p + d and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -15 (b) -59328 (c) 0.4 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:57 AM and 7:34 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2740*p - 2747*p + 412*p**2 + 5487*p.\nAnswer: 412*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*c = -x - 8, -4 = -36*c + 38*c + 2*x. Sort 1, -1\/4, -0.125, c, 0.5 in descending order.\nAnswer: 1, 0.5, -0.125, -1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3020584 is divided by 1287?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 275.4997ug to grams.\nAnswer: 0.0002754997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -643, -782, -1003, -1306, -1691?\n\"Answer: -41*x**2 - 16*x - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = 2*m + 2334, 3*x + 2*m = 13*m + 1836. Solve 84*b + x - 159 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1532 + -1531)\/((-57)\/(-21) - (-2 + 4)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**3\/7 + 234*o**2\/7 - 9126*o\/7 + 118638\/7.\nAnswer: -2*(o - 39)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 241566 and 2184.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 214 divide 572835414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is m in -2*m**4 + 372*m**3 - 1656*m**2 - 28756*m + 159642 = 0?\nAnswer: -9, 7, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from vyppclcpvcvvlpcvcp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -40 + -622?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 950 is divided by 124.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 90\/(-54)*(-12)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (161952\/20244)\/(((-2)\/(-8))\/(1\/6)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*p**3 + 2*p**3 + 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 5*o + 1. Suppose 1 = p - 4. Suppose 5*r = -p*t + 6*r + 28, 5*t = -2*r + 19. Solve -b + u = -2, -t*u + 4*u = 2*b - o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43753 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes before 1:32 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1130 - 2338 - q + q + 1131 + 26*q**3.\nAnswer: 26*q**3 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 102754 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 614, 1217, 1832, 2465, 3122, 3809, 4532?\nAnswer: 5297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 16.038 and 1.4.\nAnswer: 22.4532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06774676 rounded to 4 dps?\nAnswer: -0.0677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 916777 > 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 183 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the third derivative of -b**4\/24 - 4*b**3\/3 + 2*b**2. Let x be i(-10). Suppose -d - x*d = 0. What is the biggest value in 3, d, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 1344*s**2. Let l(b) = -12*b. Determine l(g(k)).\nAnswer: -16128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 34476\/10 + -3 - 4\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15742 is divided by 173?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 1763 divide 170212361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 635395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1246\/3 - (-380)\/(-285). Solve l*x - 411*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 15926241 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 3.7 and 39?\nAnswer: 35.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**(1\/3)*p)\/(p\/(p**(-1\/13)\/p)))\/(p*p*p**8*p*p*p)**(15\/4))**(-10\/7) assuming p is positive.\nAnswer: p**(5515\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 6009161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v**4 - 6*v**3 - 11*v**2 - 6*v = 0. Calculate v.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1033 - -2?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10\/36909 + 2612419\/29970108. Calculate the common denominator of -5\/812 and w.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v**2 - 4*v - 1. Let m(t) = -t + 12. Let r be m(12). Suppose 6*i - 10*i + 76 = r. Let j = 23 - i. Determine u(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 9 + -7. Suppose 10 = 5*p, o*p = l - 3*p + 9. Calculate the remainder when 3 + (-12)\/((-2)\/l) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 5*t**2 + 4*t + 20. Let l(w) be the third derivative of 3*w**5\/20 + 3*w**4\/8 + 13*w**3\/2 - 5*w**2. Let d(j) = 7*h(j) - 4*l(j). Factor d(r).\nAnswer: -(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 67211191 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.08127 - 1013434.505?\nAnswer: -1013434.42373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3141 or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.000587 and -0.1866.\nAnswer: 0.0001095342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -590*r + 120 = -36*j - 594*r, 3*j + 3*r = -18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/6 and 39\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 40657495?\nAnswer: 5, 8131499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -262039 by 4.\nAnswer: -262039\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, 2\/11, 0.049676?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 970*v**4 + 1933*v**4 - 73*v - 964*v**4)*(-3 + 0 + 5).\nAnswer: -2*v**4 - 146*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7\/(-14) + ((-222836)\/(-8) - -1).\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -32.588918 < -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.0348 + 3.0648. Let w = t + -53.83. Let x = 30 + w. What is x rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(1*1*sqrt(99) - (sqrt(99) - -1*(sqrt(99) - (sqrt(99) + sqrt(99)*-1)))))\/((-2*sqrt(432))\/sqrt(12)*-3) + -3.\nAnswer: -3 - sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 31\/30 (b) 294 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -11*s. Let i(o) = -7*o**2 + 17. Give i(g(c)).\nAnswer: -847*c**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p**4 + 458202*p**3 - 17534637699*p**2 + 2967582931908*p + 2985118027812 = 0 for p.\nAnswer: -1, 171, 76282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (12 + (-1 - 30)) - -11.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -12.425913078 to 4 decimal places.\nAnswer: -12.4259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -2*n - 5. Let r be x(-6). Suppose -3*b = d + r - 24, -5*d = 3*b - 25. Suppose -b*l + 2*m = -0*m - 9, -l = 3*m - 12. Solve -l*z + 8*z = -15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes after 3:37 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000587 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -31 and 0.0066?\nAnswer: 31.0066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 2*q**5\/13 + 180*q**4 - 12*q**3\/13 - 14056*q**2\/13 - 18726*q\/13 - 540 = 0. What is q?\nAnswer: -1170, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes after 10:56 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r - 34*n - 8 = -31*n, 3*r = 4*n + 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 630787333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 295891012507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*j - 21*j + 1008 = -4*a, 3*a - 6*a = 110 - 95 for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 37*c**2 + 290*c - 8. Let g be b(-8). Let x be (0\/(-2) - -29) + 1. Calculate the highest common divisor of g and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25130376 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 235 = 2*j, -2*j - 15*g = -19*g - 230. Suppose 531 = 10*b + 11. What is the greatest common factor of b and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*v**2 - 1979*v + 11*v**3 + 1979*v)*(-2 + 8 - 5) to the form b + q*v**3 + r*v + x*v**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*d**2 - 49*d**2 + 23*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*h**4*y + 117*h**4 + 2*h**3*t + h*t*y + h - 2*t - 28*y wrt h?\nAnswer: 24*h**2*y + 1404*h**2 + 12*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n**5\/7 + 3408*n**4\/7 - 30619*n**3\/7 + 95208*n**2\/7 - 122380*n\/7 + 54384\/7 = 0. Calculate n.\nAnswer: 1, 2, 4, 3399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 1 = 17, 4*r + 4*u = 112. Suppose 3*n + y - 93 + 25 = 0, n - 5*y - 44 = 0. Calculate the smallest common multiple of n and r.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 28313507 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 6, s: 4, w: 7}. What is prob of picking 4 s?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 116922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of 0*y - 21\/4*y**4 + 1\/2*y**2 + 20 + 0*y**3. What is the second derivative of m(j) wrt j?\nAnswer: -126*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eqq when three letters picked without replacement from vjqqqqqjvvvvehjqjjq?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -61, -39, 5, 83, 207?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -17219 + 17225. Solve -6 = -2*x, -11*n = -10*n - 2*x + i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -127.72 + 131. Let g = -0.28 + d. Let m = 0.07 - -3.93. Put g, -1\/4, m in decreasing order.\nAnswer: m, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.148 - 0.952. Let h be ((-3)\/(-2))\/(1 + 42\/(-36)). Let a be 6*2\/h*21\/(-49). Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -33\/22588 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38114 is divided by 315.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -17*m**4*q**3 - m**3*q**3 + 7*m**3 - 14*m**2*q**2 + m*q**3 + 18*m*q wrt m.\nAnswer: -408*m*q**3 - 6*q**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -221119, -442236, -663353, -884470?\n\"Answer: -221117*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 5*d**2 - 10*d - 437. Let a be l(-16). Calculate the highest common divisor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/(-2*(-1)\/(-2)). Suppose 2*n = l*f + 35 - 211, -f + 4*n = -51. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -33574, -134000, -301376, -535702, -836978, -1205204?\n\"Answer: -33475*w**2 - w - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the third derivative of 34*z**6\/3 + 589*z**4\/24 + z**3\/6 + 3248*z**2. Find the second derivative of d(n) wrt n.\nAnswer: 8160*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 642 + -1310. Let s = o + 1195. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hx when two letters picked without replacement from ahsazxxaa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 139 - 83. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 5265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 11, 0.5, -0.2 in decreasing order.\nAnswer: 11, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -10678 (base 16) to base 10\nAnswer: -67192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-11605604 + 2*a - 52*a**3 + 11605604)*(-5*a + a + 2*a) to d*a**2 + o + y*a**3 + f*a**4 + s*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of g**4 + 284*g**2 + g + 2106?\nAnswer: 12*g**2 + 568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:52 AM and 8:14 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f - 4*f + 80. Solve -m + 3 - f = -5*i, -i + 8 = 2*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3636660290?\nAnswer: 2, 5, 59, 1783, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4\/7, 90, 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 1643034125 - -1.\nAnswer: 1643034126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 38 - o**2 + 5*o**3 - 2*o**3 - 45 + 4*o - 4*o**3. Suppose 0 = -3*s - 0*s - 18. Is c(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-1))**(-32)*f*f**(-7)*f*f**(-4\/3))\/((f*f*(f**5*f)\/f*f*f**(-1\/5)\/f)\/((f**(-7)\/f)\/f*f*f\/(f\/f**(-2\/11)*f*f))) assuming f is positive.\nAnswer: f**(1433\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/1064 and -11\/280?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.6 + 2.9. Let r = 27.7 + z. Let y = r - 25. Which is the biggest value? (a) 3\/2 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - 3*h + 2 = 29, -5*h = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (0 + -2 + sqrt(1573) + (sqrt(1573) - (sqrt(1573) + sqrt(1573)*-3 + -1)))*-5)**2*6.\nAnswer: -15840*sqrt(13) + 3775416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 85\/(-3) - ((-1566)\/(-162) + -10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -84491.9964463 + 84492. Round k to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -321, -1307, -2951, -5253, -8213, -11831, -16107?\n\"Answer: -329*p**2 + p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uwv when three letters picked without replacement from xvxuwcu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 5*s = 22, -5*l = 5*s - 12 - 18. Let k(v) = -15*v + 1. Let c be k(-1). Suppose c = 5*r - r. Solve 0 = 3*t + 9, l*i + 2*t = 7*i + r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -604*t + 528*t. Let y(p) be the first derivative of p**2 - 1\/2*p**4 + 0*p**3 + t*p + 52. Find j such that y(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 24.2 + -21.2. Put -5, f, 0.5 in increasing order.\nAnswer: -5, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b**2 - 1304*b + 1302 = 0. Calculate b.\nAnswer: 1, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*h + 4*h - 2*h**4 + 5*h**4 + (3 - 3 + h)*(-3*h**3 - h**3 + 3*h**3) - h + 3*h**4 + h.\nAnswer: 5*h**4 + 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -102, -69, -2, 105, 258, 463, 726, 1053?\n\"Answer: x**3 + 11*x**2 - 7*x - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -359 times -0.94?\nAnswer: 337.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-18*s + 36*s + 25 - 19*s)*(6*s - 7*s - 16*s).\nAnswer: 17*s**2 - 425*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 - (0 + -3)) + (-1 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5814112 and 12.\nAnswer: 17442336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-8)*r*(r\/(r*r**(5\/7)*r))\/r*(r*r**(-37))\/(r\/(r*(r\/(r\/((r\/(r*r**(-5\/3)*r))\/r)))\/r*r)) assuming r is positive.\nAnswer: r**(-967\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 1, 4, -0.01, -45\/1321?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5\/6, -0.4, 6\/5, 4\/3, -5, 22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*n = -18*n + 804. Sort 2, n, 1.\nAnswer: 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w + 0*w + 4*w + (-5*w - 3*w + 3*w)*(-2 + 1 + 2).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10.79*5467.\nAnswer: -58988.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {u: 1, m: 3, i: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 708 is divided by 103?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -i*v**2 - 393875570*i + 9*v**2 - 3993051*v wrt i.\nAnswer: -v**2 - 393875570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 346*g - 1565. What is the units digit of r(39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 100110210010 - 11211?\nAnswer: 100110121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14\/6 - 1)\/(66\/(-99))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -5*x - 48, p - 120 = -4*p + x. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -37.693 - -19299.693. Let l = m + -19238.663. Let q = 0.263 + l. Round q to 0 dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15863?\nAnswer: 29, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10200001 = 5*z - 0*z + o, -1 = -o. Round z to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 729393595 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from xxkkxkkxkxbxx.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (2 + (sqrt(45)\/sqrt(576) - sqrt(80)\/sqrt(4)))**2.\nAnswer: -15*sqrt(5)\/2 + 1125\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 1364272 to the nearest ten thousand.\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n + n + 3*n)*(2*n**3 + 0*n**3 - 4*n**3)*(856*n - 1751*n - 1678*n).\nAnswer: 10292*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 70\/27 and 8\/163557.\nAnswer: 490671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 351 a factor of 3410073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 2, 4, -31.\nAnswer: -31, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 3*a = 75, -r - 2*r = -5*a - 69. Let j be 390\/42 - 8\/r. Solve j = 2*o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) + -1)**2*-5 - (sqrt(98) + 5).\nAnswer: -20 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 173, 175, 161, 131, 85?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f + 3. Let m be j(3). Let x(w) = -25*w - 170. Let q be x(-7). Solve 20 = q*r - m*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-40 - -10)*6\/(-4). Suppose -3*w + g = -0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r**2 + 8*r + 6. Let x be (-2)\/(-1) + (0 - -4) + -1. Suppose 3*a = x*a + 10. What is w(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1233 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 78*t**5 + 3*t**3*u**3 - 31*t**2*u - 2*t*u**3 wrt t.\nAnswer: 4680*t**2 + 18*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve g - 2*g = -5*a - 0*a + g + 87, -14*g = -2*a - 18 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -5*69\/115*-9\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -808*c**2*q - 217867*c**2 - 8693*c*q + 2*c + 36*q + 19 wrt c.\nAnswer: -1616*q - 435734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (10 - 8)*(0 + 1). Suppose v*t - 3612 = -4*t. Suppose 5*z + 2*k - t - 376 = 0, 786 = 4*z - 2*k. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 45091894666996 and -0.4.\nAnswer: 45091894666995.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {l: 10, u: 1, o: 1, f: 7}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 5*j = 21. Let y = 1 + -6. Let z(x) = -10*x**2 - 4*x - 13. Let d(u) = 7*u**2 + 3*u + 9. Determine j*d(s) + y*z(s).\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2301586 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:42 PM and 11:41 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 2881057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gga. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 165\/2 + -1153\/14. Let n = -0.4 - -3.4. Let p = n - 6. What is the second biggest value in -1, p, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -10720*p + 18109.\nAnswer: -10720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7 - -23. Suppose -2*k - s = 130. Let u = -23 - k. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 39.0098 + -39. What is b rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2155829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -3*c**2. Let b(q) be the second derivative of q**6\/120 + 5*q**4\/2 + 13*q. Let i(z) be the third derivative of b(z). Give i(a(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 85 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.4 + -0.1. Let z = 5 - 2. What is the smallest value in z, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = -5*a + 4*j + 573, -5*j + 15 = 0. Suppose -7*r + 6*r = -6. What is the highest common factor of a and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 105923 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lobyycebeyob. What is prob of picking 1 c and 1 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-5)\/10)\/((-1)\/(-2)). Let i be -2 + 3 + j + -1 + 3. Suppose -21 = 5*m + i*m. Let d(x) = x + 2. What is d(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -4*j - 12. Let o be y(-6). What are the prime factors of (o\/(-16))\/(-1)*4 - -240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -3*z + 5. Let c(h) = -h + 2. Let w(v) = -15*c(v) + 6*m(v). Let s(i) = i**2. Determine s(w(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -4*r, 2*p + 5*r - 2*r = -1. Suppose p*v - 48 = -4*o, 8*v - 3*v = -2*o + 36. Calculate the common denominator of 81\/4 and (o\/42)\/(1\/(-39)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((-4 + sqrt(343)*-1)*4 - ((sqrt(343) + -3)*1 + 4))**2.\nAnswer: -26592 - 3570*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -5 (b) 5\/2 (c) 5 (d) 46\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (3348 - 6153 + 30894 + 14012)*(-4*s + 3*s + 3*s)*(s - 2*s + 0*s)*(2 - 1 - 2) in the form b*s**2 + n + y*s and give b.\nAnswer: 84202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7 and -1.53.\nAnswer: -10.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes before 12:12 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:59 AM and 6:10 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - o = -6. Suppose 5 + 10 = o*w. Suppose 0*h - w*h + 60 = 0. Solve -2*b - h = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**4\/15 - 262*t**3\/15 - 10528*t**2\/15 - 119168*t\/15.\nAnswer: -2*t*(t + 19)*(t + 56)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1402956 at most as big as 1402957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 6 - m + m**3 + 7*m**2 - 6*m + 0. Let u(p) = -p - 32. Let d be u(-25). Is s(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -5561 times 13.0364\nAnswer: -72495.4204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.2 (c) 2.7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -6497?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4\/6*(12 - 0) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -10 - 148?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 323 minutes after 5:06 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 134809, 269621, 404433, 539245, 674057, 808869?\n\"Answer: 134812*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-42)\/(-49)*(-14)\/(-3). Put -3, 0, w, -25 in descending order.\nAnswer: w, 0, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1513525 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 + 8. Let x be -1 - -6*6\/9. Let o = 6.5 + -7. Put c, o, x in descending order.\nAnswer: x, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.5100934 rounded to 3 dps?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2575107 is divided by 168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 3*x**2 - 6*x + 3. Let b(m) = -13*m**2 + 24*m - 11. Let n(u) = -2*b(u) - 9*i(u). Calculate n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -12*b + 2*b**2 + 6*b + 6*b**2 + 7*b as n*b**2 + x*b + u and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the first derivative of 2 + 0*z - 3\/2*z**2. Let t(u) be the first derivative of -2*u**3\/3 - 23. Calculate t(v(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/12296 and -1\/58.\nAnswer: 12296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 662866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4, 14, 68, 176, 356, 626, 1004, 1508?\nAnswer: 2156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**1*(t**(-3)\/t)\/t*t)\/(((((t\/(t\/t**(1\/4)*t*t))\/t*t)\/t*t)\/t*t)\/t)**(-10\/9) assuming t is positive.\nAnswer: t**(-91\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes before 3:12 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -15230 + 15237.3217. Round i to two decimal places.\nAnswer: 7.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4571551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10 and 152\/(-714) + 10\/85 - (-4079192)\/273?\nAnswer: 74710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 160 and 170080.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 28*a**3 - 2*a**3 + 2*a**3 - 2 - 1 + 26*a**2 - 40*a**2. Is x(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 22939 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k + 19 = 2*j, -4*j + 83*k - 7 = 80*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-50)\/8 + (-30)\/(-120)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11013*u**2 - 1146*u = 0. What is u?\nAnswer: -382\/3671, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 91 divide 1320501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 101 + 106 = 68*j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n + 29. Let b(k) = 2*k**3 + k**2 - 3. Let v be b(2). Calculate m(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-28)\/6*330\/(-385). What is the second derivative of -3*v - 733*v**g + 9 - 38*v**5 + 733*v**4 wrt v?\nAnswer: -760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -23933, -23949, -23993, -24077, -24213, -24413?\n\"Answer: -2*h**3 - 2*h**2 + 4*h - 23933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l\/(l*l**(-4\/9)*l)*l*(l\/(l**(-2)\/l))\/l*l*l*(l**(-1\/3)\/l)\/(l**(2\/19)\/l))**40 assuming l is positive.\nAnswer: l**(41080\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of q**4*v**2 - 40*q**2*v**2 - q*v**2 + 5*q*v - q wrt q.\nAnswer: 12*q**2*v**2 - 80*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -3*i - 9, -3*i = 5*g - 4*g + 12. Calculate the remainder when 6 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/(-8)*(-400)\/(-390))\/((-4)\/26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 30*(4 - 1 - 2). Suppose 4*v - 95 = -3*d, 3*d + k - 5 = 2*v. Suppose -4*c = 3*q - v, 4*q = -c + 4*c + 35. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 967250 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 24.91163kg to micrograms.\nAnswer: 24911630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 46 + -28. Let z = 30 - f. Suppose 4*j + z = 5*j. Solve 0 = -2*t - t + j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -36*d**4 + 275*d**2 - 275*d**2 + (2*d - 2 + 2)*(-2*d**3 + 2*d**2 - 2*d**2) as w*d**2 + n + i*d + c*d**3 + f*d**4 and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 3, v: 4, o: 1, g: 1, y: 4}. What is prob of sequence go?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -675384, -677972, -680558, -683142, -685724, -688304, -690882?\n\"Answer: o**2 - 2591*o - 672794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 401 - 183. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1222202212 (base 3) in base 11?\nAnswer: -274a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -3 + ((-393)\/(-21) - 25 - 2\/(-7))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -9 - 5*j**3 + j + 4*j**3 - 1 + 3 + 10*j**2. Let d be k(10). Let n(m) = 0*m - m - d + 3. Let h(u) = -4*u**2. Calculate n(h(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -3*o**3 - 11*o**2 + 16*o + 69. Let t be f(-3). Solve 204*q - 209*q + 10 = -5*w, -4*w - t*q - 29 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -13908 > -13908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*s + 5*s**3 + 4*s + 15*s**3 + (83*s + 11*s**2 - 83*s)*(0*s - s + 3*s) to the form b*s + f*s**2 + c + j*s**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**2)**24)**(3\/4)\/((u*u**6*u)\/(u**(-2\/7)*u*u)*u**(1\/6)*u*(u\/((u*u\/u**(2\/7))\/u*u*u))\/u) assuming u is positive.\nAnswer: u**(1313\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.6 - -0.1. Let f be (-15)\/(-21)*94\/(-235). Which is the nearest to f? (a) -2\/13 (b) l (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1128649.\nAnswer: 127, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -13033 (base 4) to base 7.\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 1. Let r(z) = -6*z**3 + 5. Let p(u) = 6*g(u) + r(u). What is the derivative of p(y) wrt y?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-12)\/4)\/(6\/(-8)). Suppose 5*u - 9 = -n. Is -0.06 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 81672 is divided by 1184?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 301014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (8\/(-12))\/1*3 - -41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 979970 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14\/1 + 6510\/(-420)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 552118164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and -115101?\nAnswer: -23020.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 2*m = -354, -5*u + 350 + 94 = -m. Calculate the remainder when u is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1805 is divided by 259.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0332 - 425885?\nAnswer: -425884.9668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1369 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.51 - -0.53. Let j = v + 0.18. Let h = 663 - 663. What is the closest to -37 in j, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2167*15\nAnswer: 32505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be 375\/(-25)*2\/2. What is the units digit of (-6)\/v - 2004\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*l - 916 - 227. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:45 AM and 12:54 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.31*-0.37\nAnswer: -0.1147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 31 divided by -498?\nAnswer: -31\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eweeeeewwweeweee. Give prob of sequence eew.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -121 - -110.9. Let u = -9.385 - p. Let w = -0.055 + u. Round w to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -946.199 rounded to the nearest integer?\nAnswer: -946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -3*l + 4. Suppose -i = -9 + l. Suppose -2*n - 2*u = -3*n + i, 17 = 2*n - 3*u. Calculate the remainder when 29 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 5, 1, -23\/5, -0.1 in ascending order.\nAnswer: -23\/5, -0.5, -0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-8)\/24*5)\/((-1)\/(-3)). Let o(v) = -27*v**3 + 3*v**2 + 5*v. Let x(w) = -13*w**3 + 2*w**2 + 3*w. What is d*x(b) + 3*o(b)?\nAnswer: -16*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1*(-3 - -3) + 0. Suppose q*c = -4*c + 40. What is the least common multiple of c and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 660 + 143 = -4*t, t - 132 = 2*r. Suppose -2*j + 4*f + 246 = 3*j, -5*f = j - 26. Let d = j - 13. What is the remainder when t is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gyygegegg. What is prob of picking 2 g?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12175 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t - 3*x - 26 = -7*x, 35 = -5*t - 5*x for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p + p + p)*(p**2 - 7*p + 7*p) + (-3 + 3 + 2*p**3)*(0 + 3 - 5) + (p**2 - 5*p**2 + 3*p**2)*(2*p + p - p) - 2*p**3 + p**3 + 2*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 8 + 4*t + t - 2 - t**2. Let l be x(6). Suppose h - 16 = -l*h. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 130 = 2*c, 5*u - 3*u - 5*c = 105. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/33? (a) -5 (b) -1\/437 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the first derivative of w**4\/4 - 17*w**3\/3 - 9*w**2 + 4*w + 15. Let y be q(18). Let f = -1 - -1. Solve -y*m + 2*m = f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -118 = 107*c - 628 - 560 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 m and 1 n when four letters picked without replacement from {m: 3, n: 1, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -40*f**3 - 2*f**2 + 3*f + 4. List the prime factors of g(-1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**3 - z + 75. Let h be b(0). Let w = h - 34. Calculate the remainder when w is divided by 249\/12 + 2\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 10*y**3 - 7*y**2 + 2*y - 7. Let j(b) = -5*b**3 + 3*b**2 - b + 3. Determine 7*j(n) + 3*w(n).\nAnswer: -5*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-1\/4))**(-2\/127)*((r\/(r\/r**(-1\/4)))\/r)\/(((r*r**6\/r*r)\/r)\/r*r)*((r**(-2\/5))**(-7))**(-39) assuming r is positive.\nAnswer: r**(-295813\/2540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*m + 744897 - 953974 = 1682388. What is the ten thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2006 - -2013. Let h(b) = 11*b + 28. Let a be h(-3). What is the nearest to 2\/17 in a, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 340020 and 339915 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*o**3 - 2*o**3 - 12 + 6 to f*o**2 + v*o + w*o**3 + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 38460\/11 - 3494. Calculate the common denominator of d and (-1)\/1 + (-70)\/25.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1045719*v**2 - 2091406*v**2 + 1045685*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve y = -4*o - 16, 3*o - 5*y = -2*y - 27 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1.76 from -2350.\nAnswer: -2351.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + v = 8. Suppose 5*z + 21 = v*z. Solve -3*b + 0*b - 2*w - 3 = 0, w + z = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -31 divided by -69453\nAnswer: 31\/69453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000056314 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -3 times 1735935\nAnswer: -5207805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 11*c + 307. Let r be a(-20). Let l = 19 + r. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 301, -33.\nAnswer: -33, 3, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 3 (b) 22\/723 (c) -3\/2 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 19\/5, 501.9, 18.4?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 3*m**2 + 7*m - 1. Let j be k(-3). Let p be ((-38)\/2)\/(j\/(-30)*2). Suppose 53*l - p*l = -460. What are the prime factors of l?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 124*n**2 - 12*n - 6. Let r(x) = -123*x**2 + 14*x + 7. Calculate 6*o(l) + 5*r(l).\nAnswer: 129*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 76*u**2 + 9*u - 7. Suppose 0 = -15*i + 43 - 28. Is j(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 102320.\nAnswer: 2, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -32164 - 31107 + 1028*u + 62040 wrt u?\nAnswer: 1028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d - 3*d**2 - d**2 + 5*d**2. Let w be z(-2). Solve 5*p = w*p, -3*a + 4*p = 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*v**3 + 196260*v**2 - 1927860480*v + 38478745600.\nAnswer: -5*(v - 19616)**2*(v - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = 4*j - 412, 1375*j = 1374*j - 2*t + 107. Calculate the lowest common multiple of 121 and j.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1000538, -1000518, -1000480, -1000418, -1000326, -1000198?\nAnswer: -1000028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 2*l - 4. Let j = 1 - l. What is the units digit of (j\/(-5))\/((-1)\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:17 AM and 4:22 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -973, -967, -961?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = -5*b + 39, -w - b = -2*w + 3. Calculate the lowest common multiple of 134 and w.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-5)\/4)\/(3\/108). Let s = o - -95. Let t(m) = s - 3*m - 50. Let i(b) = 3*b**2. Calculate t(i(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + h + 403 = 0, -4*u = -u - 5*h - 233. Suppose -u + 221 = 7*q. What is the remainder when 56 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-12)\/(-9)*2\/(-12). Let j = 5 + -7. Let n be 12\/(-18) - 2\/j. Which is the biggest value? (a) o (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1537 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3118379603 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 PM and 2:33 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4706233 and 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyugggyuyuq. Give prob of picking 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -644, 1\/138, 2?\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10000001000 + -10?\nAnswer: -10000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 19877, 19833, 19705, 19451, 19029, 18397?\n\"Answer: -7*m**3 + 5*m + 19879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 775480 divided by 38774.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**2 + z. Let d be i(-1). Let f(t) = t**2 - 238*t + 4360. Let s be f(20). Sort s, -5, d in descending order.\nAnswer: s, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45629 is divided by 131.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -427160, -854306, -1281452, -1708598?\nAnswer: -2135744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 236 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*c = 62*c + 4095. What is the greatest common divisor of 63 and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -506 >= -2.02536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 3 s when four letters picked without replacement from {s: 9, v: 1, q: 4}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -8*p**2 + 1. Suppose 5*z = h + 24, h + 4*z = z + 16. Let k be c(h). Let n = -7 - k. Solve n = y - 2*m + 11, -5*m = -m - 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**2 - 29*l + 387. Give v(-29).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:30 AM and 10:46 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2410 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3079*b - 63392 = 2275*b - 3158*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 132774828 by 87756.\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -76 - -73. Let m(p) = 3*p + 1. Let r(s) = -2*s - 1. Calculate i*m(y) - 5*r(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-25)\/(-6) + -4)\/((-6)\/4). Let p = -1\/8 + -1\/8. What is the nearest to -1\/3 in p, -4, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*z - z - z)*(-2*z**3 + 4 - 4) + 3*z**3 + 12035145*z**4 - 7*z**3 + 40*z**2 - 12035138*z**4 to the form j*z**4 + w*z**2 + m + d*z**3 + v*z and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3055569.\nAnswer: 3, 11, 92593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 869116.9 kilometers?\nAnswer: 86911690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0762*0.256.\nAnswer: -0.0195072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of -2.8 and -65077.\nAnswer: -65079.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 3*j**2 - 2*j + 4. Let h(q) = q**2 - q + 2. Let c = -14 + 9. Let l(s) = c*h(s) + 2*i(s). Suppose 5*o + 30 = 10. What is l(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**2 - 6*i - 6. Let w be n(-4). Let k = -5 - -5.3. Let z = -1.3 + k. Which is the closest to 1? (a) z (b) 3\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 - (-8)\/(-7) - (-640)\/70. Let p(x) = 22*x**2 - j*x**2 - 5*x**2. Let n(z) = -2*z**2. Give n(p(s)).\nAnswer: -128*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1176, 4618, 10354, 18384, 28708?\nAnswer: 41326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from ffyyffypyfypp?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the third derivative of -n**4\/12 + n**3\/6 - 2*n**2. Let f be j(-4). Suppose -17 + 2 = -5*a. Calculate the greatest common factor of f and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 AM and 3:47 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -98.55219 to the nearest integer.\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**3 + 4*q**2 + 3*q + 4. Let h be k(-3). Let g(i) = i**2 - 6*i + 8. Let c be g(h). Suppose 0 = 2*a - 6, v + c*a = -2*a + 26. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 111*x + 934 = 2465 + 4685. Solve 37*h - x*h = 171 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 22*v**2 + 1. Let j(s) = 11*s**2. Let o(a) = 4*h(a) - 9*j(a). Differentiate o(b) with respect to b.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/5 less than or equal to 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 25 = p, -g + 0*g - 5*p + 31 = 0. Suppose b - 3*j = -9, -j - g = 2*b - 3*j. Suppose 3*o - o + 10 = b. Is o greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -247*b + 9860. Calculate j(40).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 108228394 to the power of 1\/2, to the nearest integer?\nAnswer: 10403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tddcstd. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**2 - 3*t + 12. Let r be j(-5). Suppose -5*g + r*c = -72, 40 = 3*g + c + c. What is the greatest common factor of 126 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 460 and 920?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1086 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 3975, -1, -4 in descending order.\nAnswer: 3975, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0412615421 to 4 decimal places.\nAnswer: 0.0413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -27*n + 4. Let u be m(-11). Let c = -206 + u. What are the prime factors of c?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -355*y**3 + 805*y**2 - 585*y + 125. Let n(t) = -119*t**3 + 269*t**2 - 195*t + 42. Let i(k) = 10*n(k) - 3*q(k). Solve i(w) = 0.\nAnswer: 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -c**3\/4 + 1647949*c**2\/4 + 88991433*c\/4 + 1201394187\/4 = 0.\nAnswer: -27, 1648003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3906 and 1714158.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -77 - (7 - (5 - (-9 - 0))) - (2 + 0).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 3 + 7. Differentiate 6*b**2 + 2*b**2 - 2*b**2 + 6 - 2*b**w wrt b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 - 7*c**2 - 91*c + 672. Let k be f(7). What is the highest common divisor of k and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**2 - 4*u + 92. Determine c(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/60)\/((-63)\/252)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/49 + 390*4*(-8)\/336.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (13\/(-6)*(-2025)\/(-3510))\/(-3*3\/198).\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -11*a. Let x(j) = 106*j. Give f(x(q)).\nAnswer: -1166*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3451514 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23464?\nAnswer: 2, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2006 + -13?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 0*s - 2*w = -1255, -5*w = -3*s + 3765. Suppose 2*m = s + 3. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2349969 by -2349969.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 10:14 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -14.7 + 15. Let s(v) = -v + 6. Let r be s(7). Which is the second smallest value? (a) r (b) o (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2 - 6*m + 5. Give f(9).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 2*f + 665 = -1845, 4*f + 2520 = 2*k. Which is bigger: 1251 or k?\nAnswer: 1251","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*b**2\/5 - 7*b\/5 + 2\/5.\nAnswer: -(b + 2)*(4*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5669143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -22 - -1 - -10 - -8 - -28\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*t**4 - 1360*t**3 + 9355*t**2 - 21260*t + 15900.\nAnswer: 5*(t - 265)*(t - 3)*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1338*p - 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2970*x + 774*x = 6974 - 167282 for x.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -199*a**2 + 1359*a - 1215. Calculate j(6).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:46 AM and 3:33 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -4 (b) 1 (c) -0.1 (d) -4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 53225191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + 1\/5)*25\/(-70)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 421 is divided by 1984\/52 + 15\/((-2730)\/28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/2 of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -194*u**3 + 217*u**3 + 553*u**3.\nAnswer: 576*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -240 - -244. Suppose i*l - 2484 = -14*l. What are the prime factors of l?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 157075027.2 seconds to weeks.\nAnswer: 259.714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -58.759 - -0.859. Let g = t + 57. Round g to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -77107, -149179, -221249, -293317, -365383, -437447, -509509?\nAnswer: -581569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 236*d**2 - 5*d + 5135. Let c(n) = 589*n**2 - 12*n + 12839. Let r(s) = -12*a(s) + 5*c(s). Find the first derivative of r(f) wrt f.\nAnswer: 226*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1175665418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -2 - (655\/(-30) - -3) and 131\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 + 5\/(20\/16). Suppose 3*g = 2*l - 20, n*g - 4*g + 20 = 4*l. Find the third derivative of -14*f**3 + 14*f**3 - 5*f**2 + 6*f**l wrt f.\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1351562? (a) 1 (b) 4 (c) -4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 4*x + 15. What is r(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 247 and 5278.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 2*s - 2 + 5 - 3*s**2)*(22*s**2 + 16*s - 16*s) to r*s**2 + c*s**3 + q*s**4 + p + h*s and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 2 g when four letters picked without replacement from ggccc.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = -2*s + 16. Suppose -s*l - 4 = -36. What is the greatest common divisor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4991 and 177031.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 28*b - 39*b**3 + 0 - 1 - 28*b**2 - 22*b**3 + 60*b**3. Calculate the remainder when 110 is divided by l(-29).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*j - 9*j + 1 = -5*r, 2*j = r + 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*q + 196 = 4*a + 30*q, a + 2*q = 50. Suppose -167 - a = -43*n. Solve -n*h + 2*d - 5 = 0, 3*h - 2*d + 3 = -3*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (246\/(-369))\/(2\/(-840))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 211012 (base 3) to base 6.\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3715\/720213 - 2\/4069. Let v = -349\/885 + m. Is v smaller than 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 1652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oc when two letters picked without replacement from cftefot?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 12*z**3 - z**2 + 1. Let l be a(1). Suppose 0 = -5*i - l + 37. Suppose 0 = 4*p + 12 - 16. What is the lowest common multiple of i and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -148 + 152. Solve -9 = y - 0*l - l, -t*y = 3*l + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -45650.434 rounded to the nearest one hundred?\nAnswer: -45700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6)\/24 - 17\/(-4). Suppose 4*w - 8*w + p = 0. Suppose -5*y - 3*v + 29 = 0, -4*y = -5*v + w - 2. 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 y = -147\/143 + 13\/11. What is the closest to y in -1, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ivvvidivovvioiovvv. What is prob of sequence idio?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 409 - 260. Suppose -j = -3*t - 5*b, b = 5*t + 3*b - 242. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -2*n**3 + 18*n**2 + 15*n - 15. What is the hundreds digit of g(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 0*p - 3*w = -11, 23 = -3*p - 2*w. Let l = p - -12. Solve -3*q = -3*r + 3, l*r + 3*q + 40 = -q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 80 divide 40384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 96166.6969 to the nearest one hundred.\nAnswer: 96200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 589 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -52a + -47?\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 89644436 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: 178\/2759 + ((-38)\/33573)\/((-26)\/(-12363))\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.3 minus 0.35672399?\nAnswer: -1.65672399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33997998 divided by -16998999.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + -14 + (6 - (3 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((23\/(-2))\/23)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**3 + 16*h**2 - 14*h - 8. Let p be j(15). Let c(q) = q**2 - 9*q + 1. Give c(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -222.6896 + 222.5. What is o rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 11830 - -313?\nAnswer: 12043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h = t - 0*h + 2, -4*h = 5*t - 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-1140)\/95 - (-51)\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -8*t**2 - 9*t + 2. Let x = -2 - 9. Let w(a) = 3*a**2 + 3*a - 1. Let n(u) = x*w(u) - 4*d(u). Let k(o) = o - 1 + 0 + 2. Give -3*k(z) + n(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 101 (base 3) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/6 + (-160)\/195.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 20*b - 13*b + 627*b**2 - 7*b - 625*b**2. Let a(n) be the first derivative of -5*n**2\/2 + 11*n + 2. Determine j(a(h)).\nAnswer: 50*h**2 - 220*h + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 5*u + 269900 = 0, 4*u - 373437 = 5*a - 103532. Is a\/(-61)*(-4)\/(-3) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7894 is divided by 1577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 707 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 16 + 966?\nAnswer: 97c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 131180 by 5.\nAnswer: 26236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 28201*v**2 + 2*v + 397?\nAnswer: 56402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**2 + 2*b - 6. Let y(r) = r**2 - r. Suppose -2*z - 2*q = 66, 2*q + q = 2*z + 66. Let w be (-22)\/z*3\/2. Determine w*s(j) + 2*y(j).\nAnswer: j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -1966*r**2 - 36*r. Let m(a) = -3*a. Determine m(h(g)).\nAnswer: 5898*g**2 + 108*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 118437543 to the nearest integer?\nAnswer: 10883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 176971148447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**2 + 419*p - 43. Let v(q) = q**2 + q - 21. Give 2*v(t) - z(t).\nAnswer: t**2 - 417*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -48 + (-196)\/(-1225) + (-1292)\/(-50)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 9873, 9874, 9877, 9882, 9889, 9898?\n\"Answer: l**2 - 2*l + 9874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 3 - (-1 - -2 - (-550 + 536))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 7\/6, -2\/13 in decreasing order.\nAnswer: 3, 7\/6, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = 107 + 18. Calculate the remainder when 45 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22740 is divided by 888?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 609708 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8003091*j**4 - 25396802*j**2 wrt j.\nAnswer: -192074184*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 173562 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -4, 10 in decreasing order.\nAnswer: 10, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**2 - r - 2. Suppose q - 5*q - 12 = 0, 3*g = 5*q + 18. Let p(m) = 4*m**2 + 10*m + 15. Let j(u) = g*p(u) + 3*i(u). Calculate j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 + 17. Suppose 5*t - 10*t = -f. Suppose 0 = -2*r - r + t. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 197.9? (a) 1\/3 (b) 2 (c) -162\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4, -483427.\nAnswer: -483427, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -20110000 (base 3) to base 4\nAnswer: -1021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2020 a factor of 422180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -1. Suppose -2*v - 2 = 4*m, -5*m - 1 = 2*v - 2*m. Let k(r) be the third derivative of r**3 + 0*r + 2 + 1\/12*r**4 - 23*r**2. Give v*k(t) + 5*g(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-25)\/(u*(u**(-7\/4)\/u)\/u*u) assuming u is positive.\nAnswer: u**(-93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1*(1 + 0) - 256\/(-32). Suppose -3431 - 1007 = -s*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 201*s + 147117 = -204*s, -4*f + 5*s = -196152. What are the prime factors of f?\nAnswer: 49043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.1 - -1. Let t = 0.25 + -4.33. Let a = 4 + t. Are a and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = -0*g + 5*l + 20, 0 = -5*g - l + 20. Suppose g*s + 14 = -10. What are the prime factors of ((-36)\/(-8))\/(s\/(-16))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5052 + -35365\/7. Sort -5, 0.4, q, 14, 0.5 in ascending order.\nAnswer: -5, q, 0.4, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.31 - 1.61. Let w = -1.1 - d. Let h be 10\/(-21) - 1\/(-3). What is the nearest to w in h, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 79.4 + -79. Which is the nearest to -1? (a) -0.08 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/8 and 1\/6319?\nAnswer: 50552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 287869901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**3 - 5*c**2 + 2*c - 4. Let q be p(5). Suppose -12*m + q = -9*m. What is the tens digit of 37 + (6\/m - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 1205*l + 2. Let b be i(4). Suppose d - 864 = 4*f, -b = -5*d - 2*f - 612. Suppose 5*n = n + d. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes after 5:55 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y = y - x + 7, -2*y = 5*x - 12. Let p be ((-1)\/2)\/(y\/(-10)). What is the second derivative of -26 - n + 26 - 3*n**5 - 3*n**p wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 72 - 60. Calculate the greatest common divisor of 20 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 320 and 352.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 51293357 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/15 and 9\/27 - (-382)\/(-48).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2 - 16800.4726457\nAnswer: -16800.2726457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -36 + (37 - 50) - -77\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9907*r**2 - 9957*r**2 + 2*r**3 + 19866*r**2.\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -179747 - 155299 = -57*l. List the prime factors of l.\nAnswer: 2, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -40.2 + 44. Let w = -0.8 + f. Which is the smallest value? (a) -3\/4 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -17*j**3 + 7*j**2 + 78*j + 445. What is the tens digit of u(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 7 = -h, 1 + 0 = -4*g - 3*h. Suppose -43 = -z - g*f, -1 = f - 5. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138 = q - 4*q. Let i = q + 22. Let l be 15\/(-2)*i\/30. Solve 0 = -2*v + 5*v + l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v + 4. Let j be (-96)\/8*v\/8. Find the third derivative of -2*c**2 + 77*c**3 - 9*c**4 + 4*c**2 - 77*c**j wrt c.\nAnswer: -216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 44 = -4*y, 5*x = -3 - 2. Suppose -3*c = -2*b - 6*c - 12, -2*b - y = 4*c. Let k = b - -7. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -85 + 99.2. Let f = a + -16. Let y = -2 - f. Sort -1\/4, 0, y.\nAnswer: -1\/4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 15 or 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*f*o**3*x**2 - 2*f*o*x - 1035*f*x**2 - 64*o**3*x - 4*o*x - x**2 wrt x?\nAnswer: 4*f*o**3 - 2070*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 23.3 (b) 75 (c) -1 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*4094.\nAnswer: 16376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -31100213 (base 4) in base 11?\nAnswer: -37894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -438077571*r + 6*r**3 + 438077571*r.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g\/(g*g*g**(1\/61)\/g*g)*g)\/(g\/g**(-13)))\/(((g*g\/g**(-1\/2))\/g)\/g)**(-27\/5))**(-17) assuming g is positive.\nAnswer: g**(117351\/610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 2 * 62833\nAnswer: 125666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k = -9*k + 5*a + 276, -a + 3 = 0. Calculate the remainder when k is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -81 - -71. Let w(n) = 11*n**2 - 31*n - 208. List the prime factors of w(q).\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1*-6 + (2 - 12\/6). Does 25 divide 5 - (11 - -78)*(q - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-26)\/(-14) + -2 + 1151500\/(-102900) - -11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (211\/(-422))\/(1\/(-62)). Solve 24 = -19*t + l*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c + 10*a = 10, 15*c - 20*c + 6*a + 13 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -33\/2 + 1031\/66. Find the common denominator of (-6 + 4)*(-6 - (-22)\/(-12)) and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -5*f. Suppose -15*m = -5*c - 14*m + 17881, -14302 = -4*c - 2*m. Let s(q) = -1785 + 35*q + c - 1791. Determine s(t(i)).\nAnswer: -175*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 17.22091 times 0.3?\nAnswer: 5.166273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 11012403 (base 5) in base 4?\nAnswer: 113020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((y\/(y*y\/y**(-2)))\/y)\/y)**(-16))**(3\/22)\/((y**(-7)*y**(-1\/4))\/(y**0*y)**(28\/9)) assuming y is positive.\nAnswer: y**(8423\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 165 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 c, and 2 p when four letters picked without replacement from {c: 1, z: 4, k: 2, p: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -11\/15, 0.5, -5, -4, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, -11\/15, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:35 AM and 7:50 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 4:35 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 27 - 75. Calculate the highest common divisor of 80 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zbfffffffff. What is prob of sequence zb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 74694, -0.24, 1\/39 in descending order.\nAnswer: 74694, 1\/39, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the first derivative of 26831*w**2\/2 + 14*w + 12. Let a be i(6). Round a to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, z: 4, k: 1, e: 1, l: 9}. Give prob of picking 1 l and 1 k.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -3*h + 1. Let a(g) = -10*g + 1. Let j(d) = 53*d - 18. Let y(u) = 4*a(u) + j(u). Let k(v) = 5*w(v) + y(v). Give k(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ly when two letters picked without replacement from lyllklklkkyy?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -101413 + 2?\nAnswer: -101411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -58 != -2215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 13*z**2 + 48 - 53 + 27*z**2 wrt z?\nAnswer: 80*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(1*sqrt(242) + 3 + sqrt(242) + -3*(sqrt(242) - (sqrt(242) + -1)))**2.\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -29*u + 6. Let v be a(5). Suppose -4*m + 3*l = 131, 2*m + 23 = -3*l - 20. Let x = m - v. Round x to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -410, -1596, -3570, -6338, -9906, -14280?\n\"Answer: -v**3 - 388*v**2 - 15*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 7*k = -10, -11*w + 3*k - 10 = -9*w. Let u(r) = 32*r + 4. Let t be u(-6). Let v be (-2)\/3 + t\/(-12). Put 3, w, v in ascending order.\nAnswer: w, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0\/7)\/(((-182)\/14)\/13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 4*h - 18 = 0. What is the smallest common multiple of 22 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 - -16. Suppose -2*w = -y*w + 635. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -h - 4*h. Suppose -4*k + 2 = -2*b + 24, -2*b + 4 = -k. Let s be ((-24)\/(-80))\/(k\/(-5)). Is h <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 4}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t. Suppose -26 = -2*n - 3*a, 3*n - 35 = -4*a + 5. Let i be ((-6)\/(-4))\/(6\/n). Let b(p) = i*p - p - p. Calculate b(s(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 4*l**2 + 7*l + 48. Calculate the remainder when o(-6) is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5178.979602 to the nearest one hundred.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**3 + 90*z**2 + 173*z + 112. Give s(-88).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0\/(((-4)\/2)\/2). Solve 2*r + i = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3 + ((0\/(-2))\/(-2) - 1). Suppose -3*r = -j + 2, -5*r + x*r - 14 = 2*j. Let m(z) = -2*z + 2. Let d(b) = 3*b - 2. Determine j*m(a) - 3*d(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 263971 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express t - 2*t + 22*t**2 + t in the form x*t**2 + z*t + v and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 61763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -31 + (-110 - -151) - (67 - -1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -152*o**3 + 60*o**3 - 9*o**3.\nAnswer: -101*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 30703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 608867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) 2\/13 (b) -6 (c) -1.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4697\/8 + -575. Find the common denominator of r and ((-72)\/15 - -5) + 3\/9645*-838.\nAnswer: 5144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 + (-1 - 25) + (-20 - 0) + -2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + 5*l - 20 = 0, -1363*t = -1360*t + 5*l - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -39\/5 + -47\/10. Let y = 13 + j. Suppose -3*d + d - 6 = 4*l, d - 13 = 2*l. Which is the closest to -0.1? (a) l (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 344159231?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 210197237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 12 = -m, 29 = 3*m + m - 3*b. Let t = -101 + 39. Let d = t - -62. Solve 0 = -d*f - 4*f - m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -35 + 46. Suppose -i*w + 5*w + 4920000 = 0. What is w rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1136*g - 672*g - 734*g - 1538*g - 1054*g to the form m*g + r and give m.\nAnswer: -5134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -10*l - 7. Let r(z) = -83 - z + 18 + 16 + 16 + 32. What is j(q) - 5*r(q)?\nAnswer: -5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 357310356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4 - 3 + 0)*(-5*p + 2*p + 2*p) + (-3 + 3 - 4)*(-3*p + p + 0*p) + (0*p + 5*p - 4*p)*(-2 + 2 + 1))*(2*p**2 + 2*p**2 - 2*p**2).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 612 and 2924.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(57)\/(sqrt(432) - ((sqrt(432)*3 - sqrt(432)) + sqrt(432))).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/6588 and -73\/5856.\nAnswer: 52704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 228132 (base 9) in base 13?\nAnswer: 4a57c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 3*p**3 + 5*p**2 + 7. Let z = 46 + -41. Let w(o) = 4*o**3 + 6*o**2 + 8. Give z*w(u) - 6*m(u).\nAnswer: 2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pvzr when four letters picked without replacement from razvp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.2958 - -44.2442. Let m = -44 + q. Let a = -0.21 + m. Round a to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y + 4*y. Let f(x) = -x. Let n(i) = 2*i - 4. Let d(a) = -3*f(a) - n(a). What is d(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 424045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6122603l to millilitres.\nAnswer: 612.2603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 9419271467 to the power of 1\/5, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-6)\/((b*b*b**(-1\/7)*b*b)\/b)*b**(1\/23)\/b**(-4))**29 assuming b is positive.\nAnswer: b**(-22475\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (24\/(-54))\/((-656)\/2460).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -27854\/9 <= -3095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 5, s: 1, f: 4}. Give prob of sequence vvs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q + 3*g - 8 = 0, 4*q + 106 = -4*g + 114 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 11) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -162 = -5*y - 2*m + 244, 0 = -y - 4*m + 92. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 30\/(-27) - (-26)\/13. Let b = 406\/237 - 30\/79. Determine l so that b*l - x - 4\/9*l**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:31 PM and 5:56 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes before 10:27 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46135841?\nAnswer: 17, 2713873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 2*m = 136, 0 = 2*m - m. Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 138076, 138023, 137970?\n\"Answer: -53*f + 138129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 173 - 165. Solve -3*h + 5*h + i = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**3*m**(1\/4))\/(m**(3\/2)*m**(2\/19))*(m**3\/(m*(m*m**(-2\/5)*m)\/m))\/((m\/(m\/((m**(1\/8)*m)\/m))*m)\/m*m\/m**(-4)) assuming m is positive.\nAnswer: m**(-1581\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 10*j + 832. Let q be g(-83). Let z = -25 + 74\/3. Which is the closest to q? (a) z (b) 3\/7 (c) 0.07 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z + 12 = 0, d - 28 = 2*d + z - 29 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 19212*y. Let m(l) = 617*l. What is b(m(g))?\nAnswer: 11853804*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*t**3*v**3 + 3*t**3 + 6*t*v**6 - t*v**4 - 9*t*v**2 wrt v.\nAnswer: 24*t**3 + 720*t*v**3 - 24*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3593537797?\nAnswer: 47, 233, 239, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 12425 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: Let s(d) = -440*d**2 + 458*d**2 - d + 1 + 4*d. Calculate the remainder when s(-2) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1817, 3634, 5453, 7274, 9097, 10922, 12749?\n\"Answer: i**2 + 1814*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*p**5 - 5*p**4 - 30*p**3 - 10*p**2 + 25*p + 15.\nAnswer: 5*(p - 3)*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 15*j + 13 + 20*j**2 + 0 - 7*j. Let q be g(-2). Suppose -m = -1 - 6. Calculate the greatest common divisor of q and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*s + 14 + 10. Let t = 0 - -0.5. Which is the closest to -0.1? (a) t (b) 2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2024 and 292480?\nAnswer: 73997440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -2\/11, 8\/37?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes before 4:32 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -73 + 313 = 30*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5304 - 5294.3852. Let c = j + 0.0052. What is c rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -3*v + 13. Let j be g(9). Let m be (-24)\/j + 18\/63. What is the third derivative of n + 2*n + 3*n**5 - 8*n**m - 3*n wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4320 and 1309392.\nAnswer: 13093920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 302033331 (base 4) to base 10.\nAnswer: 205821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 148*t**3 - 10*t**2 - 94*t + 410. Is x(5) a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -109140*m + 225. Let p(a) = 4961*a - 10. Calculate 45*p(g) + 2*w(g).\nAnswer: 4965*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 196 = -p - 534, 0 = -m - 4*p - 79. Do -67 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve w = v - 7, 0 = -2*w - 2*v - 3*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -a44642 (base 11) to base 13.\nAnswer: -468633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18 + -7. Let v = 13 - 9. What is the lowest common multiple of v and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, -1, 3039 in increasing order.\nAnswer: -16, -1, 3039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes before 11:34 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 629737 or 629711?\nAnswer: 629711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k + 1. Let b(o) = -9*o - 2. Let n(t) = b(t) + 3*f(t). Let s(p) = -5*p + 1. What is 3*n(w) - 4*s(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 3*r + 13337, 22 - 34 = -2*r. Is 84 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 (base 11) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 7 = -s, -2*z - 3*z = -3*s - 29. Suppose v = z + 32. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 4*d = 16, 0 = -2*m - 3*d + 7 - 2. Suppose 0 = -2*c - 2*c + m, 0 = 3*y + 3*c - 135. Which is smaller: 41 or y?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 660\/(-1386) + 1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35531.\nAnswer: 35531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 57 - 40. Suppose -4*y + p = -15. Suppose 19 = 4*n - 2*o + o, -5*n - o = -26. Calculate the remainder when y is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 836*((-78)\/(-12))\/13. Let f = d + -95. Calculate the greatest common factor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.02, 0.5, -498, -6, -1 in descending order.\nAnswer: 0.5, 0.02, -1, -6, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1011001101 + 10?\nAnswer: -1011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -4*t**3 - 1283*t**2 + 21556*t - 63. Determine b(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 8*a**2 - 7*a + 7. Let y = 6 + -4. Let u be 1\/((-1)\/y)*-1. Suppose u*x - 5*x = -6. Let b(o) = o**2 - o + 1. Determine x*q(l) - 14*b(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 4 + 4*b - 3 - 1. Let x(v) = 4 - 2*v - 4. What is g(x(o))?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) 0.1 (c) 7\/5 (d) 161.2 (e) -5 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-7)\/(-21) + (-210)\/108 and 115\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18725123623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -6\/97 and 51\/134686.\nAnswer: 13064542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 + (-5934)\/(-15) + (-9)\/15. Suppose -2*t + c = 5*j, t = -0*j + j + 184. Suppose 0 = -3*z - 2*i + t, 314 = -0*z + 5*z + 4*i. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * -137702.158\nAnswer: 27540.4316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -5*g**3 - g**2 - 3*g + 3. Let m(c) = -c**3 + c - 7. Let p(x) = 9*x**3 + x**2 + x + 17. Let w(v) = -3*m(v) - p(v). Give 4*a(q) - 3*w(q).\nAnswer: -2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 74398 - 44380. What are the prime factors of c?\nAnswer: 2, 3, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 10*p**2 + 2*p + 5*p**2 + p**3 - 10*p**2 + 11*p**2 - 4. Is n(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (126\/24 - 4)*16. List the prime factors of (382\/6*1)\/(u\/60).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/6*(-6)\/8. Let s be -1*((-5)\/3 + 1). Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2 - 1)*(5 + 5*x - 5) - 2*x + 3*x + 0*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 3*m - 11. Let b be s(8). Suppose 4*r = -17 + b. Let v(p) = -447*p**3 - p**2. Is v(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -6) + 11 + -5 + -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.5045 - 0.4955. Let l = 16.9 + -16. Suppose 13 = r + 5*k, -k + 1 = 3*r - 2*r. What is the second biggest value in r, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/2 + (-19)\/30. Which is the second biggest value? (a) -0.1 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - -1) + -7 - ((-37 - 73) + 87).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the first derivative of -16*b**3\/3 - 18*b**2 - 8*b + 4. Factor g(s).\nAnswer: -4*(s + 2)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -y - 3*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10239713?\nAnswer: 11, 37, 139, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = 4 - 2. Suppose -3*r - 3*c - 10 = -5*c, 2*r = 3*c - 15. Are p and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27 = 7*m + 5*b, 3*m = -2*b + 152 - 141 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1495988, -1495928, -1495876, -1495832, -1495796, -1495768?\nAnswer: -1495748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 39, 95, 165, 249, 347?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**2 - 2*n + 6. Let h be a(-5). Suppose 0 = 4*r + 20, 2*m - 3 = -4*r + 3. Let f = h + m. Solve 2*j - 3 = -f*b + 27, -2*b = 2*j - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3239467 to the nearest integer?\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4, -4, -16, -32, -52, -76, -104?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 2 = -z, 4*z - 117*o = -116*o + 43. Let q be (-1)\/(1\/10) + -3. Let k = -53\/4 - q. Which is the third biggest value? (a) k (b) z (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(4\/9)\/a**(-2\/47) assuming a is positive.\nAnswer: a**(206\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at least as big as -2\/1802175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/4 and 81\/13124?\nAnswer: 13124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -305462774*w**2 - 45184*w + 334.\nAnswer: -610925548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1480 and 5920.\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 101088451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 560744 is divided by 230.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**3 - 8*a**2 + 10*a - 5. Let v be q(7). Let b = -29 - -28. Let l be -21*b\/v*2. Which is greater: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**6*f*f\/f**(-5))**(7\/4)\/((f**(-1))**(2\/47)*f**(4\/3)\/(f*f\/(f\/f**(3\/8)*f))) assuming f is positive.\nAnswer: f**(26603\/1128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3756 + 3787.54. Let s = -1.58 - -31.58. Let v = z - s. Round v to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 344 - 521. Is 2\/3 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 42, 224845, -5.\nAnswer: -5, 42, 224845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 112202 - 1121333?\nAnswer: -1003131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2\/15))**(-7\/3))**40 assuming y is positive.\nAnswer: y**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 68104097 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1718855*g**5*s**2 - 4*g**3*s**3 + 36*g**2*s**2 - 520*g*s**3 + 82 wrt g?\nAnswer: -103131300*g**2*s**2 - 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 3, -7, -2237, 0.5, 4 in decreasing order.\nAnswer: 4, 3, 0.5, -2\/9, -7, -2237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3193 + -2151. Calculate the remainder when y is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*c**2 - 4*c**2 + 2*c**2 + 2*c**2 - 2*c**2 + 2*c**4 - 40 + 2*c as z + f*c + d*c**2 + x*c**4 + u*c**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -5b744 (base 14) in base 4?\nAnswer: -312213100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 208740 divided by 52185?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 15*y**2 - 7409*y + 8868*y + 14*y**3 - 5815*y wrt y?\nAnswer: 84*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00788 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 5 + 4 = 0. Let x(a) = -2*a**3 - a**2 + 4*a. List the prime factors of x(z).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from sooqqooqzqqo?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -2, 6\/13, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5394 - 3389. Suppose 3*o + 2*s = 2*o + 405, -5*s + a = 5*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19470 - 19549 + 77944 - 19464 - 19461 - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -3 + 2 - (76 - 88)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -16108, -16114, -16120, -16126, -16132?\n\"Answer: -6*r - 16102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -200222222 - -121310?\nAnswer: -200100312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -7 - 9*r - r**3 - 5 - 2 + 7 - 5*r**2. Suppose 11*m = -100 + 936. What is the remainder when m is divided by h(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 446049 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is a in 13*a**2\/2 - 26142*a - 4022 = 0?\nAnswer: -2\/13, 4022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 + 10*s**2 - 6*s - 1. What are the prime factors of y(9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the second derivative of -x**5\/100 - 9*x**4\/20 - 27*x**3\/5 + 6337*x. Factor k(i).\nAnswer: -i*(i + 9)*(i + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12.126 + 9.126. Sort u, -72, -0.5 in ascending order.\nAnswer: -72, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 6 = -2*p. Let w(d) = 21*d - 169. Let z be w(8). Let l be p\/(-2) + 3 + -2 + z. Solve -4*c - 2*b = -18, -3*b = l*c - 0*b - 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 116444807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/18 - 87\/(-27). Solve -9 - x = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -46 + 4. Which is smaller: w or -211\/5?\nAnswer: -211\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-8)*-2)\/(-3 + (-775)\/(-186))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum -39992 and 30296135.\nAnswer: 30256143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 65, 852, 2169, 4022, 6417, 9360?\n\"Answer: k**3 + 259*k**2 + 3*k - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 16 + 2)*(-21*c**2 - 30*c**2 + 83*c**2).\nAnswer: -480*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.5 (b) 12\/5 (c) -3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21 - -80. Let t = c - 34. Let a be (0 + -2)\/((-8)\/700). Calculate the greatest common factor of a and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/(388\/208 - 2). Let t = -33\/1775 + 407399\/49700. Let d = f + t. Put d, -0.4, 1\/7 in increasing order.\nAnswer: -0.4, 1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p - 5. Let j be (-2 - 6)\/32*-56. Give y(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.08 + 0.22. Let h = g - 0. Which is the third biggest value? (a) 4 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -9*f + 13. Let w = 45 + -21. What is the remainder when w is divided by f*(-15)\/2*(-20 + 18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 46 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 234833, 234837, 234841, 234845, 234849?\nAnswer: 234853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -139 + 139. Suppose k = -10*f - 0 - 30. Put f, 5, 2, -1 in increasing order.\nAnswer: f, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (a**4 + 2 - 2)*(4 + 1 - 1) + (-4*a**2 + a**3 + 4*a**2)*(-a + 2*a - 2*a) - 2*a**4 - 5*a**4 + 3*a**4.\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -16*p**2 + 25*p - 118. What is o(6)?\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -112 (base 4) to base 9\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i. Let j be p(-5). Let s = j - -19. Let k = s + -10. Solve k*r + 3*o + 13 = 0, -14 = -0*r + 5*r + 3*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 112 + -35035606?\nAnswer: -35035464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -136*q - 30705 = -27169 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n + 3*n + 5*n)*((-2 + 5 + 0)*(n + n - n) + 2*n + 2*n - 5*n).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 5305337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10 - 12143676?\nAnswer: -12143706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4065*c*q**4 + 4*c*q**2 + 18504*c*q - 1 wrt q.\nAnswer: -48780*c*q**2 + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -3*w + 1 - 4, -3*o = -3. Let i be 1 + (-4)\/26 + 4\/26. Solve 0*p - i = -p + 5*a, w = -p + 4*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.2 and -11692128494.\nAnswer: -11692128493.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be (62\/22)\/(0 + 1). Let v = n - 637\/187. Let w = -1552.046 - -1552.146. Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -6*h. Let q(k) = 9*k**2 + 27*k + 3. Calculate q(w(f)).\nAnswer: 324*f**2 - 162*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 1\/3 (b) 7 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -42 = -3*x - 4*n, -9*x - 3*n - 5523 + 5622 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = -z + 50. Let r = -22 + z. Suppose -2*k + 3*y + 159 = 13, -4*k = 2*y - 276. Calculate the greatest common divisor of r and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*y + 272 = 4*n - 9*n - 153 + 292, -4*y + 7*n = -110 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 2\/76669?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -10 - 0. Let v = h + -5. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 a, 1 k, and 1 o when four letters picked without replacement from {c: 1, o: 1, k: 2, m: 2, a: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 3:20 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 90 and 27540.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 82129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18 - 14. Let p(l) = l - 1. Let a(u) = -9*u + 9. Let c(z) = -a(z) - 6*p(z). Let n(q) = -2*q + 2. Calculate k*c(m) + 5*n(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 8*n**2. Let l(m) = m - 12. Let d(c) = -36*c + 36. Let f(p) = -5*d(p) - 15*l(p). What is f(t(r))?\nAnswer: 1320*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 98 = -4*d + 122 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (51 - (-60 + 100)) + 0 + 2 + (-53 - -1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve i - 433*d + 428*d = 15, 0 = -4*i - 4*d + 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-3)*(-148230)\/(-1830).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -2*n - 0*n. Let k(f) = -f - 19. Let v(w) = -w - 20. Let a(i) = -6*k(i) + 5*v(i). What is the tens digit of a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*u**4 + 4644*u**3 - 11*u**2 - 67 - 4644*u**3 with respect to u.\nAnswer: 16*u**3 - 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 26293 = -x + 8634, -4*b + 174707 = 5*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 121530 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 2*u - 4 = 0, -4*u = o + o - 4. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4634 + 4635 + (3 + 0 + -2 - 15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s - 18 = -3*s. Let p = -6 + s. Suppose p*g + 92 = 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 0*t**2 + 2*t**2 + t**2 - 22.\nAnswer: 3*t**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -121*m**2 - m**3 + 150*m**2 + 71*m + 35*m + 66. What is the hundreds digit of b(32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.2 + -9.8. Let n = 10.000035 + r. What is n rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - f)*(4530 + 7113 + 1313 + 1674 + 1437).\nAnswer: -16067*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:53 AM and 7:47 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = i + 1 - 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = 84 - 90. What are the prime factors of 5\/p*10608\/(-60)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 3:35 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2036*p - 11195 = -78383 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**3 + 5*y**2 - 10*y - 51. Let m be q(-5). Let f be (6 - 10 - -4)*m. Which is the nearest to f? (a) -5 (b) 5\/4 (c) 2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k\/(k*k**0)))**(-6\/23)*k*k**(-2\/5)*k**(-5)*k**(-1\/3)*k**(5\/6)*(k\/(k*k**(-1\/4)))**(-2\/91) assuming k is positive.\nAnswer: k**(-43601\/10465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11.965 + 11.77. Which is smaller: z or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -5*c**2 + 770*c - 29645 = 0.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -287 (base 10) in base 5?\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3717605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t**3 + 16*t**2 - 24*t + 11. List the prime factors of i(10).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 10*m + 2 = -6*m, 0 = 3*m - 12. Let n be ((-15)\/(-35))\/(((-8)\/u)\/(-4)). Which is the nearest to -3? (a) -1\/5 (b) n (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 13999, 28247, 42469, 56665, 70835?\n\"Answer: -13*i**2 + 14287*i - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 4, q: 2, n: 2}. What is prob of sequence sqsq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -25792 divided by -1984?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1200 + -6006\/5. What is the nearest to 3\/2 in 2, 0.2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 3*d, -115*i - 5*d = -120*i + 320. Solve -u - 3*o = 52 - i, 0 = 3*u + o + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 2*a - 3. Suppose 0 = -2*h + 5*d, -4*h - 11 = -h - 2*d. Determine x(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -7*w**3 + 3*w**2 + 4*w + 10. Let q(d) = -20*d**3 + 9*d**2 + 12*d + 29. Let y(h) = 17*l(h) - 6*q(h). Is y(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1635.76766 and 2.8072?\nAnswer: 1638.57486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -99881\/6 - -33301\/2. Let h = -0.43 - -0.03. What is the nearest to -2 in l, h, 3, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r = 269 + 307. Suppose 3*i - 104 = 4*y, 5*y = y + i - r. What is the second smallest value in -5, 3\/2, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2575 + 659?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the second derivative of -x**3\/6 + 13*x**2\/2 - 8*x. Let v be s(4). Factor -8*d - v + 8*d**3 - 4*d**2 + 2*d**4 + 9 + 2*d**4.\nAnswer: 4*d*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -7*z + 1. Let a(m) = -6*m + 1. Suppose 3*b = -w + 19, -b = -0*b - 3*w - 3. Let t(p) = b*a(p) - 5*j(p). Let h be t(0). Solve -2*n + h = -5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4 - (2 + 3\/(-1)). Suppose -10*q + 275 = -t*q. Calculate the remainder when q is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 374130\/306 - (-60)\/170 is divided by 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (219\/42 - 1)\/(-2). Let h = t - -13\/7. Let o = -71.2 + 68.2. What is the smallest value in o, -0.3, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29846775 divided by 3475?\nAnswer: 8589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 3.599952 nanoseconds?\nAnswer: 0.003599952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i + 0*i - 118 = 12*m, -1599*i - 5*m - 41 = -1603*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 112.093 + -112. Let o = u - 0.09. What is o rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-2\/3)\/(c**(-6)\/c) assuming c is positive.\nAnswer: c**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 2760 (b) 1 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-107 - (13 - -18 - 27)) + 38.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bp when two letters picked without replacement from bbbbpbpb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s + 3*s + 6 = 0. Let l(f) = -2*f - 1. Let q be l(s). Put 1, q, 5 in decreasing order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0 (c) 2 (d) 0.42 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 5*b**2 + 5. Let y(t) = -2*t**2 - 3. Let f(c) = 3*n(c) + 5*y(c). Suppose -2 = p - 4. Let o(k) = 2*k**p + 34*k - 34*k. Give f(o(w)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1685*z + 243*z + 7365 + 1827 + 5228 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**2 - 2885*v + 119960. Give o(41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 7*a = 10*a + 894, 2*a = -6. Suppose 13*o - i = 10*o. Round o to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22860 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -2*z**2. Let p(i) be the second derivative of -i**3\/6 + 972*i**2 + 6*i - 9. Give k(p(u)).\nAnswer: -2*u**2 + 7776*u - 7558272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.6 + -3. Let o be (-3399)\/21 + (1 + -2)*2. Let n = -164 - o. What is the closest to 0 in -0.3, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the second derivative of f**3\/3 - 3*f. Let o(h) be the second derivative of h**3\/2 + 2*h. What is o(g(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -122737 divided by -883.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1503962284*d**2 - 249727148 with respect to d.\nAnswer: 3007924568*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 285 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -4 * -0.099\nAnswer: 0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of 19\/3*d**3 - 71\/12*d**4 + 0*d**2 - 3 - 9*d. What is the second derivative of g(m) wrt m?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes after 4:48 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 23412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6121?\nAnswer: 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 149106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**3 + 22*i**2 - i - 10. Suppose -17*f = -14*f + 66. Let d be u(f). Solve -5*a - d = l - 3, 5*l = a + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 3032, 10 in ascending order.\nAnswer: 5, 10, 3032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -u - 48 = 5*z, 26*z = 102*u - 93*u + 15*z + 264 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {v: 2, y: 3, t: 1, b: 4, n: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 3*x = -41977 + 383529, 0 = 5*i - x - 341554. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -2*f - 66. Let u(w) = -4*w. Give k(u(l)).\nAnswer: 8*l - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8214730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-15)\/9)\/(85\/(19125\/25))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -179 - -176. Sort 3, -2, i, -5.\nAnswer: -5, i, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8a205 (base 15) in base 2?\nAnswer: 1101011001110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -49208 - -49213. Let l be (0 + -2)*(-10)\/4. Solve -5*x + 0*c - 40 = j*c, 0 = l*x - 3*c + 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p = -5*x - 8, 40*x - 39*x - 2 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 78011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 24 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 10\/956561 and 19\/594619.\nAnswer: 22000903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 1 t when three letters picked without replacement from btbthtbt?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20306, 40614, 60922, 81230?\nAnswer: 101538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that 3*r**3 - 33480*r**2 - 3*r + 33480 = 0.\nAnswer: -1, 1, 11160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*w, 5*w = -2*s - 3*s + 1020. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9 - (12 - 48)) + -51.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**3 - 6*x**2 + 27. Give z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 16*s**2. Let n(u) be the third derivative of u**5\/60 + 196*u**2. What is n(q(y))?\nAnswer: 256*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 - 5. Let x be ((-15)\/(-6))\/(2\/4). Let r = x + h. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) - -2*sqrt(77)*1)) - sqrt(77))\/sqrt(11) + (sqrt(35) - sqrt(35)*-2)\/sqrt(5) + (sqrt(7) - sqrt(252)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 139 a factor of 160695398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be (22 - -1)\/(3\/18). Suppose q = 4*q - z. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 7 - 25 + (-1 + 5 - 5)*(-1 - 3 + 2))*(3*m + 2 - 2).\nAnswer: -111*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-9) - 8\/(-450)*-35. Which is bigger: w or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 53 = -35. What is the remainder when 64 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**2 + 16672*z - 183634.\nAnswer: 2*(z - 11)*(z + 8347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -12, -21, -40, -75, -132, -217?\n\"Answer: -c**3 + c**2 - 5*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8416.232 centuries in years?\nAnswer: 841623.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1038)\/(-114) - (-1)\/(57\/(-6)). Suppose -g*n - 6*n = -15. Sort 19, -2, n, 3 in descending order.\nAnswer: 19, 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -3462*y + 36 - 41 + 3458*y. Let z(s) be the third derivative of s**4\/12 + s**3\/3 - s**2. Give 2*q(u) + 5*z(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.4, 22, -165, 2\/3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 - 11. Let f(c) = -10*c**2 - 16*c + 6. Let g = 158 - 156. Let n(v) = -1 + 17*v + 2*v**2 - g*v - 6*v - 6*v. Calculate d*n(a) - 3*f(a).\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 16 - 29. Suppose 0 = -4*i - 23 - 13. Let l = i - w. Solve 0 = l*f - 8 - 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 694194010*g**2*o**2*q + g**2*o*q**3 + 727*g*o**2*q**3 + 2*g*o*q**3 + 41*g*o - 56*g*q**3 - 3*o**2 + o*q**3 - o*q wrt g.\nAnswer: 1388388020*o**2*q + 2*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 4*w. Let b(z) = 21*z**2. Suppose 5*n + 2*a - 21 = 0, 4*n - 3*a = 22 + 4. Let i(t) = 221*t**2. Let p(q) = n*i(q) - 52*b(q). What is p(c(x))?\nAnswer: 208*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 25 - 9. Let q = w + -14. Solve q*p - 7*p = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(3\/14)*l)\/(l\/((l**16\/l)\/l*l)))\/(l\/l**18*l*l)**45)**(-3\/10) assuming l is positive.\nAnswer: l**(-28989\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 108400728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 100 + 2021111011?\nAnswer: 2021111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -5*w - 7. Suppose -18 + 24 = 2*r. Let o(d) = -2*d**2 + 17*d - 40. Let a be o(r). Let u be m(a). Calculate the greatest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-6)\/(-36) - 12\/54*(-153750)\/8?\nAnswer: 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1587 + 1119 - 4*q + 2*q**2 - 2706 + 2*q**2.\nAnswer: 4*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -10 divided by -8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 10*x**2 + 271*x + 1359. Let z be a(-5). Calculate the highest common divisor of 25654 and z.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 659 + -661. What is the third smallest value in t, -62, 3\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13698 - 13050. Calculate the smallest common multiple of 1620 and p.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 747898421.\nAnswer: 67, 97, 115079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 62091.6 months?\nAnswer: 51.743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.2, 8, -23, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1747989 is divided by 3237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 5*j + 5. Let t(d) = -1. Let o(a) = 3. Let h(v) = -o(v) - 4*t(v). Let g(x) = -6*h(x) + n(x). Suppose -2*q - 5 + 9 = 0. Give g(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 11*l**3 + l. Let r be n(-1). Let j = r - -12. Solve 3*a - a = j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7.592553 years in months?\nAnswer: 91.110636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*l = -16*l - 8. Suppose -l*t + 2173 = -w, -532 = t - 2*t + 4*w. Does 34 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46389.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -9196\/37 (b) -15 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -5 - 63*y**4 + 1 + 62*y**4 + 9*y**3 - 3 in the form j*y**3 + v + o*y**4 + f*y + p*y**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6332 - -12818. Let l = -2964 + x. Suppose 5*w + w = l. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 8257, 16002, 23747, 31492, 39237, 46982?\n\"Answer: 7745*i + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2903, 11070, 24501, 43196, 67155?\nAnswer: 96378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*a*b**2*h - 2*a*b*h**2*n**2 - 30*a*b*h*n**3 + a*b*n**2 - b**2*h**2*n + 31*b**2*h*n**3 + b*h*n - 2*h**2*n**2 wrt b?\nAnswer: 14*a*h - 2*h**2*n + 62*h*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0 + 4 - -2 - (2 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 divided by 49473.\nAnswer: 1\/5497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.6 (b) -2\/7 (c) 173 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -93, -830, -2831, -6726, -13145?\n\"Answer: -105*a**3 - 2*a**2 + 4*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -18*b + 3*b + 16 - 27 - 24. Let g be d(16). Let c be (3 + 0)*g\/(-15). Calculate the greatest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(1\/(8 - 15\/5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/14)\/((-23)\/((-644)\/(-72)))*3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2340432307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*l + 4 - 25. Suppose -x + 3*s + 17 = 0, 0 = l*s - 3*s + 4. Calculate the smallest common multiple of x and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31032*o - 2*o**3 + 31032*o + 3*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 3*r**2 - 14*r + 10. Let g(o) = -4*o**2 + 14*o - 10. Let h(v) = -2*g(v) - 3*u(v). Let f be h(13). Solve -f*k + 9 = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 11480092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 29376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -2*r**2 - 24*r - 54. Let a be k(-7). Suppose -26*b = -a*b. Suppose -13\/5*p**4 - 3\/5*p**5 + 4\/5*p**2 + 8\/5*p - 14\/5*p**3 + b = 0. Calculate p.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 19800*q**5 + 1127*q**3 + 611*q + 212200 wrt q.\nAnswer: 396000*q**3 + 6762*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 9166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the first derivative of 11*k**5\/20 + 2*k**2 + 3*k + 17. Let n(h) be the first derivative of t(h). What is the first derivative of n(j) wrt j?\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 19*30\/285 - -3. What is the nearest to -15.3 in 2\/15, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3472746 is divided by 75490.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m - 3*v + 3, -4*v + 22 = 4*m + v. What is the tens digit of (4 + 56\/12)*m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1*(12\/16 + (-17)\/(-4)). Sort 4, 1, y, -4 in decreasing order.\nAnswer: y, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -13 (b) 0 (c) 16.8 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 274751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 17*v - 2*v - 1932 + 1902 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 0.2 (c) -0.5 (d) -11924\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes after 12:16 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -178 + 122. Let d = i - -199. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**2\/((o**(-2)\/o)\/o)*(o**(-1\/2)*o)**(35\/2) assuming o is positive.\nAnswer: o**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add 1580593980 and 1.9788.\nAnswer: 1580593981.9788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**2 - 119*b + 3319. What is f(46)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 13.3 to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from {v: 4, i: 3, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 11\/2 of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 45707461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2821.117 millennia in centuries?\nAnswer: 28211.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-10)*-2*(-260)\/(-39)*-9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1497.6 and -0.5?\nAnswer: 1498.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 2\/26169?\nAnswer: 2\/26169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (61 - 57 - (2 + 18)) + -16?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -90.43038 to two decimal places.\nAnswer: -90.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be 20\/6*36\/30. Let s = 6 - i. Solve 3*y - s*d + 3 = -0*y, -4*y - 3*d - 21 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of 6*u**5\/5 - 1509*u**4 - 6039*u**3\/4 - 2265*u**2\/4 + 286*u. Find l, given that j(l) = 0.\nAnswer: -1\/4, 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3164 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 3*r = -45, -6*n + 300 = -n - r + 131 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 648*i*t + 14637*i + 2*t + 32265508 wrt i?\nAnswer: 648*t + 14637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 425 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/18 + 24\/162*-3. Which is the closest to p? (a) -1\/7 (b) 2 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -132223312221 (base 4) in base 11?\nAnswer: -45a4598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 10) + (-15 - -21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -88 + -2 + 14 + -26 + -6 + 6\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 609 + -600. Suppose 242 + 577 = h*y. Calculate the remainder when y is divided by 64\/2 - (-4 + 4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q - 4*b = 6, -3*b = 2*q - 90 + 98 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 8 = 2*j. Let q = -9 - -14. Solve q*o = j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21 divided by -323.\nAnswer: -21\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 87*w - 88*w + 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 288?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/((-14)\/(-119)*(-731)\/(-1419)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 418364233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -69\/88 and -89\/484?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (28\/(-21))\/(4\/(-6)). Suppose -3*t = -r - 73 + 8, g*t - 42 = 2*r. Let y be 451\/t + (-6)\/(-4). Calculate the highest common factor of y and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -6*d - 28. What is r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be 17\/17*(5 - 5)\/(-5). Sort 1, 145, -3, c in decreasing order.\nAnswer: 145, 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -3*q**2. Let k(w) = -7*w**2 - 124 + 144 + 63 - 7*w. Let l(g) = 5*a(g) - k(g). Find the first derivative of l(x) wrt x.\nAnswer: -16*x + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 21*l**2 - 7*l. Let h(p) = 7*p**2 - 2*p. Let c(f) = 7*h(f) - 2*s(f). Let x(u) = -3*u**2. Give -2*c(k) - 5*x(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2345 (base 10) in base 4?\nAnswer: 210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 - 0 - 8) + (-25 - -30). Is 12\/53 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 445 + -3113\/7. Let p = -1 - -0.9. Which is the nearest to p? (a) -5 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 444019361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 3*r**3 + 1118*r**2 - 6. Let l(w) = -7*w**3 - 2237*w**2 - w + 15. Give -5*d(i) - 2*l(i).\nAnswer: -i**3 - 1116*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 43*q**2 + 415*q + 9. Calculate p(-9).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**2 - 4*i - 1. Let f be m(-3). Let j = 31 - 23. What is the remainder when 43\/3 + f\/3 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 + 19*s**2 + 2*s + 31. Give y(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m + q - 59, -4*m = -4*q + 669 - 769. Suppose -1 = z - 12. Calculate the remainder when m is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * 0.80706066.\nAnswer: -0.161412132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, 0.2, 4751, -1688?\nAnswer: -1688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 3, e: 2, v: 1, b: 3, m: 3, k: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17*l**3*m**2*y + 444550*l**3*y - 22*l**2*m**2*y + 4*l**2*m*y - l**2*m - 5*l**2*y + l*m*y + 12*m**2*y - 2*m*y wrt l?\nAnswer: -102*m**2*y + 2667300*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 199.9 - 200. Which is smaller: 6940 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 2.2, 2\/17, -101, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -24436 divided by 41\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -20917475\/3 or -6972491?\nAnswer: -20917475\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -76\/5, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 3.13*1898\nAnswer: 5940.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.1 + 1. Let u = -0.15 - 2.35. Let o = -2 - u. What is the third smallest value in o, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 115119, 114985, 114851, 114717, 114583, 114449?\nAnswer: 114315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -4090, 1798, 7684, 13568?\n\"Answer: -k**2 + 5891*k - 9980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 11375 = 2*o + 2547, 2*r - 4*o - 5588 = 0. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-5 + sqrt(1088) + sqrt(1088) + 2)**2.\nAnswer: -96*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 92, 378, 1046, 2282, 4272, 7202, 11258?\nAnswer: 16626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 25 = -5*p, p - 5*v = 5*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 11234431 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**4 + 2*t**4 - t**4 + t**4 + 3*t**4 - 2*t**4 + (-2*t**2 + 1 - 1)*(0*t**2 + t**2 - 5*t**2) - 21 + 5*t**4 + 21.\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -5346670 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 71\/59 - 7102\/3009. Find the common denominator of h and 49\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -11956 * -0.3\nAnswer: 3586.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 89, 171, 241, 293, 321, 319?\n\"Answer: -w**3 + 89*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d - 3*d + 3*d + (-3 + d + 3)*(-3 + 0 + 2) - 3*d + 2*d + 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -6701565.28 to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 3*y**3 + 8*y**2 - 97*y - 197. Let w be b(-2). Put w, -3, 8, 20, -1 in decreasing order.\nAnswer: 20, 8, w, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and 10171764?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 4*m + 4*g - 4 = 0, 0 = m + 5*g - 17. Calculate the common denominator of 12\/7 and ((-360)\/(-324))\/(0 - m\/(-8)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 19*v - 38. Let z be y(4). Let q = z - 38. Suppose q = -3*x - 3*m + 630, 214 = 3*x - 2*x - 3*m. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -517, -523, -529, -535, -541, -547?\n\"Answer: -6*w - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**4\/5 - 42*o**3\/5 - 288*o**2\/5 - 128*o.\nAnswer: -2*o*(o + 5)*(o + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24340039 is divided by 14234?\nAnswer: 14133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 9573021 and 3051?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 507 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-14) + (-472)\/(-14). Suppose 0 = 4*v + 20, -3*t = -4*v - v - 55. Suppose -4*a - t = -u. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/(-60) - (-4)\/(-10). Let z = 34.7 - 22.8. Let f = 12 - z. Which is the third biggest value? (a) 0 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -35 + -11. Let v = 40.4 + j. Let t = -6 - v. Which is the nearest to 1? (a) -0.3 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1229*b - 698*b + 1793 - 7614 - 2696*b - 11*b wrt b.\nAnswer: -4634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11697 - 11745 = 16*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4178, -2, 16, -107 in increasing order.\nAnswer: -4178, -107, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -285177*-15.12.\nAnswer: 4311876.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 999 - -374847?\nAnswer: 375846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -992*u + 990*u - 60 = 2*m, -3*u = m + 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5047 + 5046.81. Which is greater: t or 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*r + 269*r - 5357 + 1177 = 0 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that 3*g**2\/5 - 753*g\/5 + 1584 = 0.\nAnswer: 11, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -2*t**4 + 2*t**3 + 0*t - 382 - t + 384 + 33*t**2 as p*t**4 + d*t**3 + h*t + u + y*t**2 and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -39 - -75. Let r(u) = 29 - 63 + t - 3*u. Let o(p) = 4*p - 2. Calculate 5*o(g) + 6*r(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 2*s - 39. Let z(l) = -l + 19. Let c(n) = 2*r(n) + 5*z(n). What is the lowest common multiple of c(6) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1511637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00021059 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**3 - 183*t**2 + 3259*t + 224. Give d(163).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(-6)*-4*(-6)\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, t: 1, b: 1}. Give prob of picking 1 u and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -57*q**2 - 5*q. Suppose -2*a = -3*k + 15, -126*a = -5*k - 125*a + 25. Let z(s) = -28*s**2 - 3*s. Calculate k*z(u) - 3*l(u).\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -698*l - 8852 + 1872 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 102484?\nAnswer: 2, 25621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 245440253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1068796.\nAnswer: 2, 267199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 669, 600, 571, 600, 705, 904, 1215?\nAnswer: 1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j**2 + j + 2. Let g = 70 - 75. Let t(x) = 3*x**2 + x + 3. What is g*r(n) + 4*t(n)?\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s - 2*s + 10*s)*(0 + 2 + 0)*(4*s - 5*s + 0*s).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ettt. What is prob of picking 3 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = y. Suppose 2*w - g - 13 - 15 = y, w - 3*g = 19. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the first derivative of 3125*s**5\/6 - 1250*s**4\/3 + 400*s**3\/3 - 64*s**2\/3 - 91*s - 23. Let j(g) be the first derivative of f(g). Factor j(p).\nAnswer: 2*(25*p - 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**3 + 123*p**2 - 14*p - 2632. Determine a(-123).\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1991*i + 2005*i - 3945*i.\nAnswer: 51*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve u - 4*t + 2 - 8 = 0, 0 = 4*u + 2*t + 48 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 10875402779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 5*n + 1195, 3*n = l - 0*l - 401. Suppose 805 = 3*h - l. Let r = -1587\/4 + h. Find the common denominator of r and -151\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = 3*k - 260, -3*u + 0*k + 195 = k. Suppose 141 - 46 = 5*w. Calculate the remainder when u is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3843 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 282, 783, 2194, 4971, 9570, 16447, 26058, 38859?\n\"Answer: 76*v**3 - v**2 - 28*v + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qwyytng. Give prob of sequence yg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(12\/13)\/f**(-9\/4))**45)**(-18) assuming f is positive.\nAnswer: f**(-66825\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 2*q - 2, -3*n - 10 = -n + 3*q. Put 28, n, 2 in descending order.\nAnswer: 28, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3881 + 4107. What is the second biggest value in 2\/5, -3, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.15 - -1939265268280\nAnswer: 1939265268279.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -3*w + 16. Suppose w - 20 = 2*y + 2*l, 12 = -3*y + l. Let d be (-80)\/24*18\/y. Calculate the greatest common factor of d and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**2 + 3*k + 1. Let g be d(-3). Let h be (4\/(-14))\/(8\/(-28)). Differentiate g - a**3 + 0 + h with respect to a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -10*o + 3. Determine s(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 + (-6)\/(-12))*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -266*v**5 + 9*v**3 + 19413*v wrt v?\nAnswer: -5320*v**3 + 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -135536652 - -0.02.\nAnswer: -135536651.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7132 + 7176. Solve 22*w = q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2000258460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the first derivative of -t - t**4 + 50 + 0*t**2 + 2\/3*t**3. What is the first derivative of m(k) wrt k?\nAnswer: -12*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0 (b) -116 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 42 - 40. Suppose -3*u - 2*x = -1161 - 197, 2*u = q*x + 922. Suppose b + 3 = -2*b, u = 4*h - 4*b. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11785 is divided by 313.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*t + t**3 + 5*t)*(-3280*t + 3282*t - 3 - 1) + (0*t**3 - 2*t**3 + 0*t**3)*(-4*t + t + 5*t) + 2*t - 2*t - 2*t**4.\nAnswer: -4*t**4 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of 17754 and -0.25.\nAnswer: -4438.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 26479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -36 smaller than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 212*d**5 + 25*d**2 + 5.\nAnswer: 12720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13, -1, 33, 101, 215, 387?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 + 8. Suppose -c = -3*i - 4, 3*c + s*i = 1 - 0. List the prime factors of (c\/(-3))\/((-2)\/162).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 210343 (base 7) to base 11.\nAnswer: 25213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + 4*p. Let i(g) = g + 16. Let d be i(-10). Suppose 2 = r + 3*h, -18 = -4*r - d*h + 4*h. Solve 0*l - r*l = p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 81689.07 centuries to months.\nAnswer: 98026884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1173\/69*(-2)\/(-30)*-3.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 5682 = -3*i, -4*i - 108*h = -112*h - 7608. Calculate the smallest common multiple of i and 117.\nAnswer: 17082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 81 - 86. Suppose 0 = 5*a + 2*v + 48, -5*v = -3 - 2. Let r be ((-2)\/a)\/(3\/g). Which is smaller: 0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*f - 32*f = -134481. What are the prime factors of f?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 29 - o - 21*o**2 + 23*o**4 - o + 20*o**2 - 32 - 3*o**3 as x*o**3 + m*o + i + h*o**4 + z*o**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11736.7 - 11737.19979. Let s = o - -0.5. Round s to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of v**7\/42 - 3*v**6\/10 - 35*v**3\/3 + 104*v + 2. What is the second derivative of y(d) wrt d?\nAnswer: 20*d**3 - 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -4*n**2 - 158*n + 77. What is a(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sum -2 and -77365.\nAnswer: -77367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -3885+-20570\nAnswer: -24455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a factor of 141485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 5) + (-109 + 52 - -80) - 111?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0*4\/(-40)*1. Solve -3*q + 21 = 3*x, m*x - 5*x = -3*q - 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -31*a**4 + 0*a**2 + 6*a**2 - a**2 + 26*a**4 + 10*a**3 - 10*a.\nAnswer: -5*a*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8 + -3. Let d = o + -5.1. Suppose 2*v = 3*v - 4. What is the second biggest value in d, v, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -5 (b) 93 (c) -0.1 (d) -0.06 (e) 5 (f) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-38)\/(-4)*115\/(133285\/732)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.087, 5, 0.2, 4 in ascending order.\nAnswer: -0.087, 0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 101 - 14 = 3*u. Find the third derivative of 6*j**5 - u*j + 29*j + 3*j**2 wrt j.\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 23 + 7 = 0. Calculate the common denominator of (-2)\/6 - (-74)\/b and ((-2)\/(-8) + 1)*790\/25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -2 and 74847.\nAnswer: 74845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -104342595 divided by 15\nAnswer: -6956173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 222 - 89 = -7*p for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 22966 + -13088. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/40 - (-145)\/(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (169 - 54 + 52)*(1 + 2*b - 1) to i*b + z and give i.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 7128 (base 9) to base 16.\nAnswer: 145a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 4*u = 70, 0*o + 5*u + 73 = o. Let w = -55 + o. Suppose -3*r - w*i = -2*r - 47, -3*i + 94 = 2*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4068? (a) -0.5 (b) -0.3 (c) 3.68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d**5\/9 - 32*d**4\/9 + 1222*d**3\/9 + 23332*d**2\/9 + 42880*d\/9 + 20800\/9 = 0.\nAnswer: -20, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 502262143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0417 and 4.\nAnswer: 0.1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2691183 - 2691182 - 2691175 + 2*w**2 - 2691171 + 10764711.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Let i = 38 - 8. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 85484956.\nAnswer: 2, 21371239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the third derivative of 0*w**4 + 3*w**2 + 0*w - 1\/40*w**6 - 1\/60*w**5 + 0*w**3 + 0 - 1\/105*w**7. Determine k so that d(k) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20827c (base 14) in base 10?\nAnswer: 1098102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 262147.\nAnswer: 262147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**3 + 10*x**2 + 8*x - 6. Let h be n(-9). Solve 9 = -3*t - h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 731 - 30058 = -3343*n + 84335 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 1*(sqrt(1008) + (sqrt(1008) - (-3 + sqrt(1008) + -1))) + 1*(-2*sqrt(1008) + -1 + -2*1*sqrt(1008))**2.\nAnswer: 108*sqrt(7) + 16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -634 - -3857\/6. Which is smaller: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 226 divided by -4?\nAnswer: -113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 19 and 159709725.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6947.15269543 - -0.283.\nAnswer: 6947.43569543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -24.907 + 24.5. Let q = h - -0.396. Which is bigger: q or -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 2*i**3 + 14*i**2 - 12*i - 1. Let n(w) = 3*w**3 + 27*w**2 - 23*w - 2. Let y(t) = 3*n(t) - 5*x(t). What is the least common multiple of y(10) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -987329.76 rounded to the nearest one hundred?\nAnswer: -987300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + 3*f = s - 251, -5*s + 1297 = -f. Suppose -5*c + 0*c - 5*r = -s, -2*r + 214 = 4*c. Let t = 85 - c. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -51*l + 53*l + 12 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6738968, 6739020, 6739070, 6739118, 6739164, 6739208, 6739250?\nAnswer: 6739290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*n**4 + 331*n + 1060 wrt n?\nAnswer: -8*n**3 + 331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 80*f - 129 - 74 + 123 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h + 2. Let w(i) = 89*i + 12. Let j(b) = -k(b) + w(b). What is the hundreds digit of j(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o + 1. Let h(r) = -14*r - 3. What is h(u) + 5*t(u)?\nAnswer: -19*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {y: 3, b: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 12653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 323, 325, 327, 329?\n\"Answer: 2*y + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -58 at most -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 7931116 at most 7931115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**3\/7 + 1290*v**2\/7 - 2622*v + 9226.\nAnswer: 2*(v - 7)**2*(v + 659)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -143*k - 107. Let c be t(-1). What is the highest common factor of 423 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4685 + -14054\/3. Let v = 0.8 - 0.6. Let h = 4 + -4.1. What is the nearest to h in v, -3, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1209115889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1012011 + 100?\nAnswer: 1012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 4) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -115\/54 and -149\/2232.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17551834 to the nearest integer?\nAnswer: 4189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 19, 0, -859 in decreasing order.\nAnswer: 19, 0, -859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 17188*o - 204 = 17176*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 5*w = -967, 0*w - 2*w - 8 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00039 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 2753397.3 months to centuries.\nAnswer: 2294.49775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2900 + 2899. Let a(m) = 34*m**3 - 3*m - 2. Determine a(v).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5.7 - -238.7. Let o = 231 - b. Sort 3, -92, o in decreasing order.\nAnswer: 3, o, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 204 and 78.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - s + 63 = 0, 0*s + 4*s - 92 = 4*p. Is 722\/5 - 12\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-152 - 406 - 517 - 454)*(2*m - 1 + 1) to the form q*m + x and give q.\nAnswer: -3058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 times 41.4?\nAnswer: 12.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 73 = l, -2*n + 9*l + 149 = 4*l. Let t be (1 + -2)*(-4)\/4 + n. Let f = 79 - t. Solve 3*i + 6 = f*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 5*w = 0, -2*f - 3*f = -2*w. Let m(c) be the third derivative of 0 + 0*c**3 + f*c + c**2 - 1\/12*c**4. Let i(y) = -3*y**2. Give i(m(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 4*y + 3*j + 221 = 0, 0 = -5*y + 2*j + 219. Let p = -39 + y. Suppose k = -p*k + 55. Solve a = -2*w + w + 2, a = 2*w + k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3374017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/675 and 49\/825.\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -48827*a**5 + 46898*a.\nAnswer: -976540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l - 1. Let y be p(0). Let f be (3 + y)*(-2)\/(-2). Is 3\/(f\/(-2)) - -142 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -3*i**3 - 20*i**2 - 19*i + 58. Let w(s) = 4*s**3 + 30*s**2 + 28*s - 87. Let f(m) = -5*w(m) - 7*z(m). List the prime factors of f(11).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59814580477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 21 = 3*c, -8 = -2*c + 5*a + 6. Let r = 1280 - 1276. Is c greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*f - 373 = 12*f - 3*a, -316 = 4*f + 2*a. Let b = -30 - f. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1561, 1617, 1713, 1849?\nAnswer: 2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r - 3*r + 7*r)*((-3*r - r + r)*(r - r**3 - r) + (0*r**4 + 2*r**4 - 4*r**4)*(1 - 2 + 3) + 800 - 800 + 17*r**4).\nAnswer: 112*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11 + 7. Solve -d + 5 = -3*v + 4*v, 2*v + o = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8 - 5 + 209*c**3 - 26*c**2 + 48*c**2 - 27*c**2 - 1 wrt c.\nAnswer: 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 17716 and -244638446.\nAnswer: -244620730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -166*d + 371 with respect to d.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 5 (b) 3\/5 (c) -1 (d) -3 (e) -142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11211 + -222012?\nAnswer: -210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 50.47132 rounded to one decimal place?\nAnswer: 50.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -22540 or 1273?\nAnswer: 1273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 9, e: 3, r: 1, j: 1}. What is prob of sequence ue?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3.617525 kilograms?\nAnswer: 3617525000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 + -2 + 11 + -3. Suppose -4*y = -3*c + 23, x*c - 61 = -2*y + 12. Suppose c*w = 11*w + 108. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 82*m - 3722. Give w(46).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 5*d + 2. Let j(c) = -1. Let i be 595\/140 + 30\/(-24). What is i*j(t) - o(t)?\nAnswer: -5*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(2\/25)\/k)\/k)**(-3\/17)*k**(-6\/7)*k**(-32) assuming k is positive.\nAnswer: k**(-96742\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -7 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from nnneknnnnnknnnkn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be (4 - (-104)\/(-28)) + 20\/28. Solve 0 = -2*i + 5*v + t, -1 = -3*i + 4*i - v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by 24.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 4*w**3 + 1 + 2*w**3 - 6*w**3 + w**3 + (w + 4*w - 3*w)*(-w**2 + 3*w**2 - w**2) + 3*w**3 - w**3 + 0*w**3 + 0*w**3 - 2*w**3 + 4*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-2*(sqrt(4400) + (1*sqrt(4400) - sqrt(4400)) - sqrt(4400)))\/(sqrt(252)\/sqrt(7) - (sqrt(4) + (-3*sqrt(400) + sqrt(400) + sqrt(4) - sqrt(4)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 180\/(-72)*16\/(-10) + 1123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.690974 + 0.290976. Let s = 0.4 + r. Round s to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 2*f - 11. Let v be ((-4)\/(-12))\/(1\/15). Let d be z(v). Is 1 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 7*m**2 + 55*m - 30. What is k(-9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((6\/4)\/((-6)\/12))\/(224\/(-672))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (30\/9)\/((-4)\/(-378))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 56\/2 - (-30)\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bjbbjqbqj. What is prob of sequence jq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1724987, 1724990, 1724993, 1724996, 1724999, 1725002?\nAnswer: 1725005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m = -9*m. Let f = m + 2. Is (187\/2 - 1 - 1)*f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1643 - 1496 = 43*h. Let i = 25 - -133. Let y = i + h. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 8632, 17418, 26478, 35950, 45972, 56682?\n\"Answer: 23*d**3 - d**2 + 8628*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -3*p. Let d(n) = 3*n**2 - 5*n - 5. Let i(b) = 4*b**2 - 7*b - 7. Let l(x) = -7*d(x) + 5*i(x). What is l(v(o))?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 184 divided by -2421?\nAnswer: -184\/2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 551*z**3 - 3*z + 2. Let u be g(1). Calculate the highest common divisor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*d + d**2 + 3*d + 2 + d)*(-d + d + d).\nAnswer: d**3 - d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 304, -0.3, 177?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 4 + 0)*(-7 + 18 - 8)*(3 - 1 - 4)*(2*b + 4*b - 8*b) in the form d + o*b and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y be 839999\/(-3) + 2\/(-6). What is y rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6467\/3 + -2155. Let d be (-3)\/(-12) + 5\/4. Which is the closest to 0? (a) -1 (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 27*j - 234 + 18. Suppose 16 - 168 = j*l. Sort 2\/9, l, 2\/5, -3 in descending order.\nAnswer: 2\/5, 2\/9, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and 202.\nAnswer: 20.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*s + 3*s. Let x(q) = -q**3 + q**2 + 2*q + 3. Let d be x(s). Suppose -4*p = -5*b - 158, d*p + 4*b + 0*b = 103. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 27682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -3*p**2 + 4*p - 4. Let h be (-48)\/26 - (-2)\/(-13). Let s be 9\/h*(-6)\/(-9). Let m(w) = -2*w**2 + 3*w - 3. Determine s*y(t) + 4*m(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 876dd7 (base 14) in base 10?\nAnswer: 4590705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -25\/18053024 or 0?\nAnswer: -25\/18053024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 2*b = -132. Suppose -s = -2*s. Suppose -8*j + 3*j + 85 = s. What is the remainder when b is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/10*(0 - 5). Let h(s) = 0*s**2 + n*s**2 + 2 + 3*s**2 - 6*s**2 - s. Let r = 210 + -212. Let g(w) = 4*w**2 + 3*w - 7. Give r*g(c) - 7*h(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 278822?\nAnswer: 2, 109, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (23*z**3 - 23*z**3 - 11*z**4)*(2 + 2 - 6)*(-4*z - 15*z - 14*z).\nAnswer: -726*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the first derivative of -l**6\/8 + 3*l**5\/4 - 15*l**4\/8 + 5*l**3\/2 - 15*l**2\/8 + 3*l\/4 + 1. Factor i(v).\nAnswer: -3*(v - 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -49*a**5 + 32*a - 66*a + 39*a + (-6*a**3 + 3*a**3 + 2*a**3)*(3 + a**2 - 3) + 4*a**5 + 0*a**5 - 2*a**5.\nAnswer: -48*a**5 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*b - 30*b - 21*b)*(b + b - b + (-2*b - 3*b + 7*b)*(4 - 2 - 4) + 0*b - b - b - 2) - 21*b**2 + 28*b**2 + 30*b**2.\nAnswer: 237*b**2 + 80*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y. Let v(i) = 15*i. What is 3*t(m) + v(m)?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2.5, -5, 0, -2\/3, 25.93, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -65, 49, 1, -29, -10.\nAnswer: -65, -29, -10, 0, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*r**4 - r**4 + r**4 + (41*r**3 - 174 + 174)*(r + 3*r - 6*r).\nAnswer: -80*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 245 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4037\/6 + 674. Solve 2\/3*h**3 + 2\/3*h**4 + 0 - w*h**2 + 1\/3*h = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the third derivative of -n**6\/60 - 493*n**5\/30 + 17*n**4\/12 - n**3\/2 + 36*n**2 - 16*n. What is the second derivative of o(y) wrt y?\nAnswer: -12*y - 1972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1310 + 1316. Calculate the least common multiple of 26 and f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 7 - 1. Let y be (-3)\/((-2)\/((-4)\/(-3))). Suppose 0 = -4*i - 20, 0*x - y*i = -x + 11. Sort -5, g, x in decreasing order.\nAnswer: x, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -a9 (base 15) to base 14\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 10*s - 29. Let x be d(6). Suppose 4*w - 3*w = -4*z + x, 0 = 5*w + z - 174. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*7\/(-42)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r**2 - 96*r + 684 = 0 for r.\nAnswer: -38, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 32 = -21. Let x = 52 + d. Find the common denominator of 117\/20 and 1 + x - (-291)\/(-132) - -2.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 3*v + 60. Suppose -35*i = -42*i + 56. What is the smallest common multiple of l(i) and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:50 AM and 7:11 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 202139568881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 + 14. Let z = -1 - j. Does 7 divide (-104)\/z - 7\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 338*f. Let b(r) = -185563*r. Let x(p) = -5*b(p) - 2744*u(p). Let t(j) = j - 25*j + 13*j + 10*j. Calculate t(x(k)).\nAnswer: -343*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -17*p. Let o be -1 + (-12)\/8*-2. Suppose -o*f = -2*b + 71 + 43, 5*f - 187 = -3*b. Let g(r) = -b*r + 30*r + 31*r. What is h(g(z))?\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 61*l + 1. Let i(h) = 20*h - 84. Let p(v) = -20*v + 56. Let y(g) = -2*i(g) - 3*p(g). What is r(y(o))?\nAnswer: 1220*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -22 + (35 - (20 + 2 - 2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {m: 5, f: 1, v: 3, l: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/20, 8, 5\/418?\nAnswer: 5\/418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -4c71c5 (base 16) to base 12.\nAnswer: -1817285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -94859.1 to the nearest one thousand.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2b6021 (base 12) in base 15?\nAnswer: e81bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 2*a**2. Let z(h) = 8*h + 6. Suppose 0 = -2*u - 2*u + 16. Suppose -2*c = u - 38. Let p(b) = 23*b + 17. Let n(i) = c*z(i) - 6*p(i). Calculate s(n(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -6 - (16 - 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 43*d**5 - 17290*d**3 + 11970939*d**2?\nAnswer: 2580*d**2 - 103740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is b5a2da - -1c?\nAnswer: b5a318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 149080?\nAnswer: 2, 5, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the second derivative of q**4\/4 - q**2\/2 + q. Calculate the remainder when 2 is divided by k(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.092 times 0.01\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 4*w - 3. Let r(h) = 52*h - 49. Let a be r(7). Suppose a = 10*q + 5*q. Calculate the highest common divisor of q and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2375 and 1919475.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00002814 rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -117*n + 114*n + 15. Suppose -p + 5*y + 0*y = 21, y - 25 = -n*p. Solve 0*q + 4 = p*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 - 6*g**2 + g - 1. Let h be u(6). Suppose h*y + 2 = -3. Sort y, 2, 1 in descending order.\nAnswer: 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2*3 + (-4 - 0). Suppose s*r - 18 + 8 = 0. Let v(o) = 3. Let l(a) = a - 7. What is r*v(q) + 2*l(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t**3 + 84237*t**2 + 765380640*t + 2219486803200 = 0. What is t?\nAnswer: -10960, -6159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4 - -4)*(2 + -3). Suppose 0 = -7*v - l*v + 343. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -2552, -5108, -7664?\n\"Answer: -2556*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16 + -18. Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(21) - sqrt(21)*-4 - sqrt(21)))\/(sqrt(21)\/sqrt(7)*-4).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vyyvgr. Give prob of sequence rrvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -54\/17 or 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*z - 3*z - 6300040 = 0. Suppose -m - d + z = 0, 3149980 = -0*m + 5*m - 5*d. What is m rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -19*x**2. Let a(w) = 8*w**2. Let t(s) = -7*a(s) - 3*g(s). Let i(v) = 13*v - 2. Let n(m) = 1. Let p(q) = i(q) + 2*n(q). Give p(t(l)).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -8\/5, -905, 2\/3?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7108186 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -196\/3 != -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -4\/653 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**3 - 14*q**2 - 15*q + 31. Let f be t(-13). Let z = 213 + f. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-666)\/27)\/((-4)\/258). Let b = o + -1026. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - o + 720 = 2*r, -3*r = 5*o - 454. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((6 - 6 - 4*z)*(3*z - 3*z - z)*(3 - 7 + 2) + (-1 + 3 + 0)*(2*z**2 + 0*z**2 - 4*z**2) - 2*z**2 + 4 - 4)*(2*z**2 - 3*z + 3*z).\nAnswer: -28*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s + 10 = -3*f, -5*f + 9364 - 9354 = 3*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 10) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-85)\/51)\/((-90)\/54).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -169*w**2\/2 + 13353*w\/2 + 20790 = 0 for w.\nAnswer: -3, 13860\/169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -129?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/(q\/(q\/(q*q*q**(-12)))*q))\/q**(6\/5) assuming q is positive.\nAnswer: q**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the third derivative of l**7\/70 - l**6\/20 + l**4\/4 - l**3\/2 - 108*l**2. Factor r(j).\nAnswer: 3*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -651748, 5, -1 in increasing order.\nAnswer: -651748, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the second derivative of m**8\/2800 - m**7\/1400 - 3*m**3 - 35*m. Let j(i) be the second derivative of z(i). Solve j(y) = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000070326 to 6 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 982470.8mg?\nAnswer: 982470800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 170 divide 1715470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0, 7\/2, 0.06256?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - -4 - ((-44 - -133) + -126)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(36\/27)*(-13)\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p + 6*p - 58 - 6*p)*(0*p - p + 4*p).\nAnswer: -6*p**2 - 174*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -106*f + 11. Let h(i) = 34*i - 2. Let z(r) = 3*h(r) + n(r). Let b = 0 + 2. Let s(q) = 21*q - 25. Calculate b*s(c) + 11*z(c).\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2403*n**4 + n**3*u - 3*n**2*u + 695*n*u + 1 wrt n?\nAnswer: 57672*n + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*y - 21*y - 225. Let r = y + 44. Is (-1361)\/2*2\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 3, 0.2, -112\/13, -0.4, 1, -1637?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(605) + 3*-1*sqrt(605) - sqrt(605)) + sqrt(605) + 5 + (sqrt(605)*2 - sqrt(605)) + sqrt(605))**2 + -2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2.99999993 + -3. Round x to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -157957 and 11.\nAnswer: -1737527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 993 + -942. What is the highest common factor of 969 and f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/525 and -89\/140985.\nAnswer: 4934475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1584) + sqrt(1584) + -1)*-5 + ((2*sqrt(132) - sqrt(132))\/sqrt(12) - (2 + (sqrt(11) + 0 - sqrt(11))))**2.\nAnswer: -124*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8477 and 4018?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 3306 = 117. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the third derivative of s**5\/120 + 5*s**4\/24 - 140*s**3\/3 - 321*s**2. Let y(l) be the first derivative of f(l). What is y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14 + 28. Solve 9*j + 5 = 5*x + 4*j, -2*x = 2*j + h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -95*g**2 - 35*g + 35. Let q(k) be the third derivative of 2*k**5\/15 + k**4\/8 - k**3\/2 - 28*k**2. Determine 3*j(c) + 35*q(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 55\/245502 and -143\/18?\nAnswer: 245502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10782709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5838 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 716 - 774.1. Let i = 58 + f. Which is the fourth smallest value? (a) -0.4 (b) -1 (c) i (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:35 AM and 8:47 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*p + 72 = p. Which is greater: -8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmnnnmmmmmmmmmmnmnn. What is prob of sequence nm?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -622 divided by 380?\nAnswer: -311\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -13*j**3 + 224*j**2 - 7*j + 20. Is t(16) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12104783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-38)\/5 - (64\/(-40) - -2). Let f(z) = 22*z**2 - 8*z + 9. Is f(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 63 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*m**3*x**4 + m**3 - 9*x**4 - 282*x**2 wrt x?\nAnswer: -216*m**3*x - 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17*-12*12\/(-18) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*f**2 + 3 + 69 + 17*f**2 - 72.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(55)\/sqrt(5))**2*-1 + ((sqrt(1100)*2)**2 + sqrt(1100) - sqrt(11)).\nAnswer: 9*sqrt(11) + 4389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be 59\/4*(-52)\/13. Let t = h - -123. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 2*d**3 - 13*d**2 - 4*d. Suppose -2*o = 16 - 4, -4*w + 60 = -4*o. Let l(t) = -5*t**3 + 27*t**2 + 9*t. Calculate w*s(q) + 4*l(q).\nAnswer: -2*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 42313377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + -4 + 0 - (-34 - (49 + -91)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o**3\/7 - 235*o**2\/7 + 961*o\/7 + 1195\/7 = 0. What is o?\nAnswer: -239, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -284004784 divided by -3517.\nAnswer: 80752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be 40\/15 + (-5)\/((-15)\/(-2)). Suppose -a = -x + 14, 5*x + 2*a - 70 = -n*a. Find the first derivative of 40*g**3 - x*g**3 - 25 - 1 wrt g.\nAnswer: 78*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 36*i**3 - 6 + 30*i**3 + 4*i**4 + 3*i + 38*i**3 - 144*i**3 + 43*i**3 in the form n*i**3 + u*i**2 + o*i**4 + h*i + f and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 297 at least as big as 298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 137, -0.17741, 3\/8?\nAnswer: -0.17741","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16 + -11. What is the third derivative of 0*s**2 + s**2 + s**2 - 2*s**q wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -5.24713 from -14294.\nAnswer: -14288.75287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 597 divided by 1126\nAnswer: 597\/1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -8591.9373 to the nearest 100.\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 1 + q**2 - 2*q - 2 + 0. Let p be h(3). Factor s**2 - s**p - s**2 - 2 - 4*s - 2.\nAnswer: -(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 27883*m**2 + 0 + 0 - 39*m - 27887*m**2 as q*m + n*m**2 + d and give q.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h**3 - 15*h**2 - 21. What is t(-15)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12936 - 12932. Sort k, 5, -410\/21.\nAnswer: -410\/21, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -7*i**2 - 6. Suppose g - 102 = -g. Suppose -2*w + g - 5 = -4*u, 0 = -w - u + 8. Let s(b) = -15*b**2 - 13. Give w*x(c) - 6*s(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 1:51 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 3*q - 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h + 11 - 27 + 13 + h**2.\nAnswer: (h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.4 - -1.6. Let m = 0 + c. What is the second smallest value in m, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/8 + 127\/4. Suppose 4*v = -2*c - s + 304, 2*c + 218 = 3*v. List the prime factors of ((-4)\/(-10))\/(7\/v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 20408 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 18 - -110. Let l be (7\/4 - 0) + 32\/c. Let s be (l + -5)*(-340)\/15. What is the highest common factor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (0 + 1 + (-4 - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -32, -11, 3, 5 in increasing order.\nAnswer: -32, -11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -2*p - 2*o + 337, 2*p - 228 = 2*o. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87084 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 4 + 44*a + 0 as u + g*a and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -748 - 4*f - 742 + 2234 - 10*f - 744.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + -1. Let c = 7 + 0. Suppose -3*u - 56 = -c*u. Solve -a + 10 = 2*n, y*a + u = a + 3*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14839.\nAnswer: 11, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3022627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((r*r\/r**(-3\/2))\/r*r)**6\/(r**(-1\/5)\/r*r*r**0))**(2\/5))**48 assuming r is positive.\nAnswer: r**(10176\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 652757, -39, 5, 1 in ascending order.\nAnswer: -39, 1, 5, 652757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 123865?\nAnswer: 5, 7, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, 3\/4, 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -0.6, -2, -2\/7 in decreasing order.\nAnswer: 4, -2\/7, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 - 122?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*a + 82*t - 73*t - 98 = 24*a - 2*a, 12 = -4*t for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -1\/8 (b) -1 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 8 - (0 - 0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 39, -2, 1, 14, 5520, -3.\nAnswer: -3, -2, 1, 14, 39, 5520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (-8 - (10 - 11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (429 - 6*z**4 - 429)*(-3*z + 8*z - 6*z - 5).\nAnswer: 6*z**5 + 30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4026?\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1935638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes before 6:03 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 - 202. Which is the second smallest value? (a) 1 (b) q (c) -4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7\/90 + 4\/45. Let d = -2 - 1. Let q = 312 - 312. What is the third biggest value in q, r, d, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 49\/(-70) + 2 + -1. What is the closest to -1 in 1\/3, 3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 20 = -2*y. Let t be (3\/2)\/(3\/1). Let w = -47\/2 + 89\/4. Which is the nearest to -1? (a) y (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and 115?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:41 AM and 12:21 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 832 - 831.7. Let f = 0.6 - 1.3. Let u = 0.9 + f. Which is the second smallest value? (a) u (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 110 and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 58\/33 and -37\/789.\nAnswer: 8679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 + -2. Suppose 0 = -u*h + 8*h + 2*r - 319, h + 3*r - 69 = 0. Calculate the remainder when h is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence th when two letters picked without replacement from {h: 1, t: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*x + 49474 = -x. List the prime factors of x.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35044461 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 68 = 4*c, -5*c + d - 1218 = -1285. Which is bigger: -517 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 3 and -34617?\nAnswer: 34620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tttt when four letters picked without replacement from tptptptttpt?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*h**3 - 7078*h + 7078*h.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1503684*d**5 + 11031150*d**2 wrt d?\nAnswer: 90221040*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 14152, 28250, 42348, 56446, 70544, 84642?\n\"Answer: 14098*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -16*c - 1. Suppose 39 = -6*w - 12*w + 165. Let o(j) = -47*j - 3. Give w*b(u) - 2*o(u).\nAnswer: -18*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(3\/7)\/(r**(-7)*r))\/(r*r\/(r\/r**(4\/9))*r**(1\/5)))\/((r*r**8)\/(r**(-8)\/r))**(1\/5) assuming r is positive.\nAnswer: r**(373\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 12115 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 336 and 32151?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 270 and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6005499?\nAnswer: 3, 2001833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**2 + 5*k - 13. Is o(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6\/(-8) + 0 - (-3523)\/52. Let u be (2\/2)\/((-4)\/(-244)). What is the second derivative of -f**2 + u*f - 2*f**2 - g*f - f**2 wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 5 + (1 - (0 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yhhchchheyhhhcchchh. Give prob of picking 2 y and 2 h.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -22*j + 530. Let u be v(24). Let g = 2 - -10. Suppose 4*w - 2*t - 6 = 0, 0 = -5*w + 2*w + 3*t + 3. Solve -u*o - g = w*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 2*g**3 - 12*g**2 - 14*g + 6. Let r be n(7). Does 4 divide (-6 + r)\/(-5) + 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 33\/13106 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-8 + (-546)\/(-66))\/(67496\/12584)\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor k**5 - 26*k**4 + 252*k**3 - 1078*k**2 + 1715*k.\nAnswer: k*(k - 7)**3*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -8 - (7 + -18 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -28, 3, 0, 0.04 in decreasing order.\nAnswer: 3, 1, 0.04, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 + -3. Suppose l = 4*t - 5*t - w - 6, -4*w + 11 = -t. What is t rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-90)\/(-4) - (2 + (-6)\/4). Solve 2*u + 5*r = -j, 0*u + 10 = -2*u - 2*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 65\/36 and 43\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -9*u. Let q(y) = -191*y + 99*y + 94*y. Give q(p(w)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 18 - 12 = 0. Suppose 0 = 2*i - 0 - 12. Let b(v) = -1 - 7 + i*v + 2 - v**2 - 2. Give b(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**3 + 6*o**2 - 14*o - 41. Let v be a(-7). Let b(i) = i**3 - 9*i**2 + 7*i - 2. Determine b(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes before 12:32 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the second derivative of 5*m**4\/12 + 2*m. Let q(f) = 4*f**2 + 5. Let l(h) = -10*h**2 - 12. Let r(i) = -5*l(i) - 12*q(i). What is o(r(v))?\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**2 - l + 1. Let b(k) = -3*k + 0*k**2 + k**2 + 3 - 5*k**2. Let q(t) = b(t) - 3*y(t). Let p(s) = s**2. Determine q(p(j)).\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*f - 24 = 13*f. Suppose -4*d - b + 3419 = 4*b, -f*b = -6. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 100*o**4 - 5*o**3 - 136*o**2. Let d(c) = -99*c**4 + 4*c**3 + 137*c**2. Let k(z) = -5*d(z) - 4*x(z). What is the third derivative of k(n) wrt n?\nAnswer: 2280*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 560209 a multiple of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -5133, -5879, -7117, -8853, -11093, -13843, -17109?\n\"Answer: -n**3 - 240*n**2 - 19*n - 4873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n**3\/5 + 112*n**2\/15 + 14*n\/3 - 212\/5 = 0. Calculate n.\nAnswer: -53\/3, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y + 3. Let u(m) = 3. Let t(b) = 3*p(b) - 2*u(b). List the prime factors of t(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 1595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 27798120 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 13*l + 55. Suppose 0 = -l*i - w, 5*i = 2*i + w. Suppose y + j = 4*y - 120, -2*y - j + 85 = i. What are the prime factors of y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 15628396 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0112722225 rounded to five decimal places?\nAnswer: -0.01127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4079 + 4090. Let a(k) = 6*k - 20. Let n(x) = 17*x - 61. Give y*a(w) - 4*n(w).\nAnswer: -2*w + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 5*y = -5*u + 17, 0 = -u - y + 5. Let c(w) = 7*w + 1. Is c(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dnuscpnp. What is prob of sequence cnp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -3292816 minus 59.2?\nAnswer: -3292875.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ikikiikkiuk. What is prob of picking 1 u and 2 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.03226 and 48.\nAnswer: -1.54848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -20 - (-27 + (22 - 24))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 636 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 10009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -12, 1\/4, -0.1, 4, -3\/4, 3477?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the third derivative of 0 - 1\/60*t**5 + 1\/60*t**6 + 0*t + 17*t**2 + 0*t**4 + 0*t**3. What is u(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1675237.\nAnswer: 43, 38959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 846018757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(432) + 1 + sqrt(432) + sqrt(432) + 1)*-1)**2 - (sqrt(24)\/sqrt(2) + -4 + sqrt(12) + 6*sqrt(12)*3 + sqrt(12))**2.\nAnswer: 5520*sqrt(3) + 134804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + 3*d - 8, -h + 5*d - 275 + 256 = 0. Which is smaller: -5\/443 or h?\nAnswer: -5\/443","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 3*o, 3*o = r - 0*o - 6. Let f = 51 - 27. Suppose 2*y = 4*u - f - 18, 3*y - 67 = -4*u. Solve 5*b - 26 = -2*z, -r - u = -b - 4*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*a - 4*a**2 - 2*a + 2*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5.372 + -1.572. Which is the fourth smallest value? (a) 0.4 (b) -1\/5 (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 35.14402m to micrometers.\nAnswer: 35144020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/((-6)\/(-22298))*(0 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 301 - -4?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -7*s**2 + s + 10. Let t(g) = 20*g**2 - 2*g - 28. Determine -17*r(v) - 6*t(v).\nAnswer: -v**2 - 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -10, -4*r - n + 5 = -28. Let x(q) = -5*q - r*q + 15*q + 11*q. Let t(m) = 5*m. What is x(t(k))?\nAnswer: 70*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 39117 and 25653?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04 take away -3.7?\nAnswer: 3.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -33 at least as big as 1.88363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 8, -397, 2, 3, 779 in increasing order.\nAnswer: -397, -1, 2, 3, 8, 779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 10833*d**3 + 22*d**2 - 4*d - 44665070 wrt d.\nAnswer: 32499*d**2 + 44*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 34 - 34. Suppose k - 9 = 68. Suppose 0 = 5*r - 4*s - k, r + 2*s + s - 4 = z. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1194 and 114?\nAnswer: 22686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 550\/2950*(80\/(-110))\/4.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1069\/12 - 89. Let h(m) be the second derivative of 1\/6*m**3 - w*m**4 + 1\/2*m**2 + 3*m + 0. Calculate h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -10*g. Let c = -18 - -32. Suppose -6 = -3*j, -4*r + c = -j + 2*j. Suppose -2*s - 5*k = -r, -2*s = -3*s - 2*k + 1. Determine h(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -3*x + 2*x + 7*x**2 - x**2. Let c be l(-1). What is the greatest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = s - 5*z + 3*z, -z = 2*s - 5. Let n = 212 + -124. Suppose 7*j - n = s*j. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2031002 + -20300110?\nAnswer: -22331112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 0 (b) -64404 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ysybebbrebbbyyryyrb. What is prob of sequence yeb?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 + -591d1f?\nAnswer: -591d22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*i - 10 + 28*i - 15 + 25 + 61*i - 130*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 139320 and 4956696.\nAnswer: 223051320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 176 - 175.99999982. Round p to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4 + 1 + 2)*(0*a + a - 2*a) - 3*a + 6*a - 2*a)*(-1 + 4 - 1)*(-2 + 0 - 2) - 14*a - 11*a + 12*a.\nAnswer: -29*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -1729365 by -3345.\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 49 divided by -1500042\nAnswer: -49\/1500042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 906428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 6*l - 16. Let x(v) = -95*v + 193. Let d be x(2). Let z(p) be the first derivative of -1\/2*p**2 + d*p - 6. What is -3*r(o) - 16*z(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (48\/(-30))\/(3*(-2)\/15). Let p(t) be the third derivative of 0*t**3 + 0 + 0*t**n - 1\/60*t**5 - t**2 + 0*t. Let w(g) = g. What is p(w(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/63 (b) 9287 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**3 - 5*p**2 - 4*p. Suppose 5*f + f + 18 = 0. Let u be c(f). Let r be (144\/u)\/((-2)\/5). What is the highest common divisor of 54 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**0)**5\/(b**(-4)\/(b**0\/b)))**27)**12 assuming b is positive.\nAnswer: b**972","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:20 AM and 10:23 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*z**5 - 206610*z**4 - 6055360*z**3 - 21696150*z**2 + 25327625*z + 41175000 = 0. Calculate z.\nAnswer: -8235, -25, -5, -1, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 5*a**2 + 10*a**2 + 3 - 3 in the form t + l*a**2 + p*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3107446.8893983 - 3107445.4. Let l = d + -22.7893797. Let y = 21.3 + l. Round y to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -620799689*i**2 + 1182139888 wrt i?\nAnswer: -1241599378*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 243 and 103560606.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n**3 + 6*n**2 - 12*n + 1. Let t(f) = -2*f**3 + 7*f**2 - 10*f + 1. Let s(m) = -6*t(m) + 4*z(m). Determine g, given that s(g) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -56*t - 3090. What is c(-68)?\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 5*f + 4 = -11, 0 = -5*a + 5*f - 15. Suppose u - 5*y + 7 = -1, a = -3*u + y + 32. Is (0 + 28)*21\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/(-10) - (-21)\/(-55)) + 0. Sort 2\/9, 1, -0.3, o in decreasing order.\nAnswer: 1, 2\/9, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 264*m**2\/7 - 20012*m\/7 + 104408\/7 = 0. What is m?\nAnswer: 62\/11, 421\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3.7 - 16.3. What is the second biggest value in -0.2, -0.5, -3, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the third derivative of -y**4\/6 - y**3\/2 - 2*y**2. Let h = -5 - -7. Calculate the remainder when f(-2) is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(448) + sqrt(448) + sqrt(448) + 0)**2 + sqrt(7)*-2*3.\nAnswer: -6*sqrt(7) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 21 and 588?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**2 - 10*m + 6. Let p be v(10). Let n(r) = -r**3 + 5*r**2 + 7*r - 1. Let x be n(p). Calculate the greatest common factor of x and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 64505, 129012, 193519, 258026?\n\"Answer: 64507*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -7395533 + 7?\nAnswer: -7395527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15 + -10. Sort -3, -4, m in decreasing order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 5, m: 2, o: 4}. Give prob of sequence oom.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1677313?\nAnswer: 11, 139, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 + 2. What is the third derivative of 6*v**6 + 0*v**6 + d*v**2 - 6*v**2 - 4*v**6 wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71057989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r**3 + 14960*r**2 + 1995500*r + 65403000 = 0.\nAnswer: -65, 3870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -185159756 and 2.\nAnswer: -370319512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**2 - 16*n - 32. Give u(6).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**(-3))\/i*i\/i**(2\/13))\/(i*i**(1\/3))**34 assuming i is positive.\nAnswer: i**(-1852\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -1\/5 (c) -1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + -4 - (-5 + 6) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3 + (-6)\/(-3))*-3. Sort 2, 1, y.\nAnswer: 1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than 29\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -29 - -24. Let s = n + 4.99999943. What is s rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7150 + 13847. What are the prime factors of m?\nAnswer: 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 178*i**5*o - 17*i**3*o + 3587*i*o - 4*o wrt i.\nAnswer: 3560*i**3*o - 102*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -6768 * 2.\nAnswer: -13536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tget when four letters picked without replacement from otgttrgrerrretht?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 3191 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3112 and 50?\nAnswer: 77800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 162\/(-13608)*-1*3?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*i**25*i*i**(11\/4)*(i*i\/i**(-6\/5))\/(i*i**13\/i) assuming i is positive.\nAnswer: i**(399\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 - 4*p**2 - 3*p + 6. Let i be z(4). Let q(n) = -10*n - 57. Let b be q(i). Let y be (5\/b)\/(7\/21). Solve 3*j + 10 = u, 4*j - 8 = -y*u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -420 divided by -15\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is q in 2*q**2\/3 + 7478*q\/3 + 2492 = 0?\nAnswer: -3738, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1441388877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -n*p**4 + 3*n*p + 2*n - p**2 - 41*p - 5074 wrt p?\nAnswer: -4*n*p**3 + 3*n - 2*p - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*v**2 + 560*v + 15680.\nAnswer: 5*(v + 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8060152, -16120268, -24180384, -32240500, -40300616?\nAnswer: -48360732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qwn when three letters picked without replacement from qwn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be (8\/10)\/(3\/(-15)). Let f be (-1 + 0)*(-3 + m). Differentiate -f*i**4 + 9 + 1 + 11*i**4 with respect to i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 93 and 6169.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1614172608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1030833, -1, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*v + 19 = 79. Let m(p) = -9*p**2 + 9*p + 2. Let b(r) = -4*r**2 + 5*r + 1. Let f(t) = -7*b(t) + 3*m(t). What is f(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 110544665639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 38 + -23. Let o(q) = -q**2 + 13*q - 28. Let b be o(12). Let t = a + b. Which is bigger: t or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1112 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2903.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*m + 20*m - 94*m**2.\nAnswer: -94*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f**2 + 0*f**2 - f**2)*(-7 - 6 - 4) - 10*f + 10*f - 9*f**2.\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(7)*-2*-1 + -1)*-6 + 4)**2.\nAnswer: -216*sqrt(7) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13 and 663.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -5*a + 24 + 2, a - 2 = 3*r. Suppose -13 = -3*v + a. Calculate the remainder when 21 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2341, 3, -8, -0.3, -1\/3, 6 in decreasing order.\nAnswer: 6, 3, -0.3, -1\/3, -8, -2341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the second derivative of -676*n**5\/5 + 559*n**3\/6 + n**2 + 4*n + 160. What is the second derivative of f(i) wrt i?\nAnswer: -16224*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express g**3 + 1 + 8*g**3 + 3 + 6 - 4*g**2 - 12 as l + x*g**2 + u*g**3 + p*g and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 + -3320?\nAnswer: -3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-2)\/4)\/(0 + -1). Let p = 150.8 - 178. Let h = -27 - p. Which is the third smallest value? (a) h (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k and 1 l when four letters picked without replacement from {k: 7, l: 1, q: 3, w: 1}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - -16)*(-3 - 28\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8447*c**2 - 8449*c**2 + 16893*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 11*400\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 77275630 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((16 + 59 + 17 + (-5 + 3 - 1)*(-3 + 4 - 2))*(-c + 2*c**3 + c) + 6*c**3 + 18 - 36 + 16)*(3 - 3 + 1).\nAnswer: 196*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**3 + 43*q**2 - q - 20. What is y(-43)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9.7 + -15.4. Let p = a + 10.4. What is p rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -162, -4 in increasing order.\nAnswer: -162, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -366746200 to the nearest 1000000.\nAnswer: -367000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0, -15, -0.3, 0.02, 3\/50, 8\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -165016.7 and 3.\nAnswer: -495050.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1240 = -5*q - 5*i - 1260, 0 = -2*q - 3*i - 15. Factor 80\/7*v**2 - 66\/7*v**q + 0 - 32\/7*v - 2\/7*v**5 + 20\/7*v**4.\nAnswer: -2*v*(v - 4)**2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 2*m**2)*(m**2 - m**2 + m**3) - 4*m**5 + m**5 + 10*m**5 + m**5 + 3*m**5 - 3*m**5 + (-6*m**3 + 4*m**3 + 4*m**3)*(13*m**2 - 3*m**2 + 20*m**2).\nAnswer: 70*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13 + 17. Is 16 a factor of (-2)\/a - (-375)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 2*l**3 - 29476*l**2 + 120941570*l - 88161887352 = 0.\nAnswer: 924, 6907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 901.534 < -534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r**2 + 11*r - 10. Suppose n = 4*d - 4*n + 47, -17 = d + 4*n. What is the remainder when (-6)\/4*(-744)\/18 is divided by o(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.16 in 2\/7, -4, 11, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 12 = -5*p, 15 = p + 4*p. Sort -4, 9, f in descending order.\nAnswer: 9, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + -8. Solve 4*d = -0*z + z - 18, -r*d - 8 = 4*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -10273 + (0 - 0 - 2). What are the prime factors of ((-4)\/(-10))\/((-15)\/f)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 5*g = -18, 2*g = n + 2*n - 18. Let s be n\/(-9)*9\/(-2). List the prime factors of (-2)\/s - (-3160)\/60.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**4 - 5*k**3 + 5*k**2 + 3. Let d(w) = w**3 - w**2. Let r(a) = 5*d(a) + s(a). Find the first derivative of r(z) wrt z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 17*d - 33. Give u(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*a - 21*a + 5*o - 33273 = 0, 44352 = 4*a + 8*o. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 102 + 144 + 44 = 58*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 20, 0, -0.2, -0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1100101101101 - -101?\nAnswer: -1100101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**3 + 126*j**2 - 10*j. Let d(a) = 62*a**2 - 5*a. Determine -5*d(s) + 2*r(s).\nAnswer: 2*s**3 - 58*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 7289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i**(-2\/17)*i)\/i)\/i)\/(i\/i**(-5)))**(4\/9)\/((i**(2\/3)*i)\/i*i*i**(-2\/3)*i*i*((i*i**(-1\/2))\/i)**(-1\/8)) assuming i is positive.\nAnswer: i**(-15241\/2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/6*(-28 - -34). Solve -2*l - 5 = -l, -b + n*l + 18 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 4*c + 371. Is b(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s**5 + 1300*s**4 + 110092*s**3 + 728268*s**2 + 1633248*s + 1213488 = 0.\nAnswer: -159, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**3 - 10*a**2 - 9*a - 22. Let l be w(11). Factor z + l + 1\/2*z**2.\nAnswer: z*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/15 of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1114453 - -3?\nAnswer: -1114450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 12991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be 9 + 0\/(2 + 1). Let h(k) = -r*k**3 + 0 + 3 - 4*k**4 + 2. Let g(s) = -6*s**4 - 14*s**3 + 8. Let u(b) = 5*g(b) - 8*h(b). Find w, given that u(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**2 - 122*c + 327105. What is d(-636)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-2\/7)\/f)\/f*f*f**6*f)**(6\/5) assuming f is positive.\nAnswer: f**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*p + 4*p + 4*p)*(-2 - 9*p + 5*p + 8*p) + (p**2 - 4*p**2 + 2*p**2)*(1 - 1 + 1) - p**2 - p**2 + 4*p**2 in the form b*p**2 + z + y*p and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 16308 and 3944120.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the second derivative of -4*j**3\/3 + 9*j**2\/2 - 2*j. Let v be i(-3). What is the highest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 185, 2\/5681, -0.2, 0, -3, 1\/2.\nAnswer: -3, -0.2, 0, 2\/5681, 1\/2, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(110)*2*-3*4)\/(5*sqrt(250)*2*6).\nAnswer: -2*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-637 + 273 - 907 - 819)*(-5*b - 3 + 3).\nAnswer: 10450*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**8*d\/(d**(2\/129)\/d) assuming d is positive.\nAnswer: d**(1288\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 114188059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -46483.6 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13)\/(-33) - 474\/(-1738)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 258398 (base 11) in base 10?\nAnswer: 406425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = -8, -s + 11 = -4*m + 2*m. Suppose 5*o + 1 = -2*v - 7, -2*o - v = s. Suppose 2*k = 2*g + 18 - 22, 2*k = -2*g + 16. Sort 1, g, o.\nAnswer: o, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of 11*y**4\/12 - 4*y**3\/3 + 63*y**2\/2 + 71*y + 2. Is 28 a factor of v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 150 and 55037550.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -299.4556 to 1 dp.\nAnswer: -299.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oeeeowewowwuwewewo. What is prob of sequence oo?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -1a7a6 (base 11) to base 10\nAnswer: -28914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((1368\/9690)\/(4\/34))\/(12\/(-160) - 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6 - 77d30?\nAnswer: -77d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(72))**2 - (sqrt(4)\/sqrt(2)*-2 - (1 + sqrt(32)))**2) + 4.\nAnswer: -285 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + (-27 + 46 - 31)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are 27468 and 27467 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be (76\/(-190))\/((1 + -4)\/90). Solve 0 = -2*a + 16*u - 13*u - r, -12 = -3*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -22*m - 559. Determine j(-25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71 - 25 + 68*a - 23 + 2*a**2 - 23.\nAnswer: 2*a**2 + 68*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 20 = -4*n, 3*n + 2*z + 2*z - 4 = 0. Suppose -n*k - 6 - 2 = 0. What is the remainder when (-3 - k)\/(1\/(-11)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1176124?\nAnswer: 2, 29, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (78\/702*(3 - -3) + 0)*33\/(-6)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -29, -70, -103, -128, -145, -154?\n\"Answer: 4*l**2 - 53*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbxbbxbbbbx. What is prob of picking 2 x?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 8287210 to the power of 1\/2, to the nearest integer?\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -17*b**3 + 3*b**2 + 10*b - 210. Is l(-8) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + 2. Suppose -61 - 11 = -w*z + 2*p, 5*z + p - 76 = 0. List the prime factors of z*(0 + (-14)\/(-8)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 19*j - 306 - 625. Let u = 790 + j. Does 50 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 15, q: 4}. What is prob of picking 2 q and 1 r?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q - w + 6 = 0, 5*q - 4*w - 17 - 10 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 197 + -192. Let p = f + 120. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 702569 is divided by 5243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 1 d when three letters picked without replacement from dqddqdqqqqdq?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d. Let z(g) = -4*g**2 + 11*g - 1. Give z(s(n)).\nAnswer: -4*n**2 + 11*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (49 - 59 + 30 + 6*p)*(1104 - 1104 + p).\nAnswer: 6*p**2 + 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*k = -137107 - 380711. Let j = k + -3117. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47515411.\nAnswer: 1373, 34607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.017779119383 to 5 decimal places.\nAnswer: 0.01778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2 - 0)*1 - -2. Suppose 6*y + 2*y - 64 = x. Solve y = -w - w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.29 - 0.13. Let t = r + 0.04. Do t and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 190 and 260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-3 - -2 - 6 - 0) + -86 + 88\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/242)\/(1665\/(-12210)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (39\/(-702)*-18)\/(6\/228)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**2 + 181*x - 56040. Calculate a(163).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*1*-5*(-5*(sqrt(72)*2 - sqrt(72)))\/(-2*sqrt(18)\/sqrt(3)).\nAnswer: -150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29162778.\nAnswer: 2, 3, 4860463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - -17. Find the second derivative of -65*v + 11*v + 13*v**3 + h*v + 20*v wrt v.\nAnswer: 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + -2 + 2 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 584, 1176, 1768, 2360?\nAnswer: 2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -884*r**2 + 100 + 1770*r**2 + 54 - 885*r**2.\nAnswer: r**2 + 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 54519851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z*z**(-29)\/z)\/z*z)\/z*z*z*z**(-14\/13)*z)**(-2\/21) assuming z is positive.\nAnswer: z**(730\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1598508 or 1598507?\nAnswer: 1598507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 12. Let k(a) = 7. Let m(r) = 5*k(r) - 3*t(r). Let w be 0 + (0 + 1 - -1). Let o(h) = 2*h - 2. What is w*m(u) - o(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes after 2:14 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 - 4*s**2. Let a be y(4). Suppose 2*z - 4*f = 4, -4*z + f + 8 = -a*f. Let d(x) = -1. Let c(b) = 2*b - 2. What is z*d(w) - c(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0002206254 rounded to 7 decimal places?\nAnswer: 0.0002206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12886.0767 - -12885.38670057. Let z = -120.31 - -121. Let p = z + b. What is p rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/8)\/((-2067)\/(-1590))*(-1)\/1.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-60)\/(-5)*-1)\/(21\/14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 665897+2\nAnswer: 665899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + -6 + (36 - (12 - (11 + -2)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q\/((q*q**(2\/7))\/q)*(q\/(q*q\/q**(-3\/7)*q))\/q*q)\/((q\/q**(-6)*q)\/q**(2\/17)))**(2\/11) assuming q is positive.\nAnswer: q**(-186\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 2*x + 21 = 0. What is the smallest common multiple of 1 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (176\/64 - 3\/1)\/(288\/278) and -49\/288.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - 3*(-1)\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -40, -3826 in decreasing order.\nAnswer: 2, -40, -3826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -814*n**4 + 4*n**3 + 1893 wrt n.\nAnswer: -3256*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1\/28 + 11\/84. Let w = -239 - -244. Suppose w*v + 2*s - 38 = -10, v = s. What is the fourth smallest value in 0.01, 2\/13, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 47257 + -37?\nAnswer: 47220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7.59 - -136.39. Let m = k + -124. Let r = m - 4.7. Which is the nearest to r? (a) 1\/5 (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 6) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -625 equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6894915*y**3 - 3*y**2 - y + 32095787 wrt y?\nAnswer: 20684745*y**2 - 6*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 612\/765*(-10)\/(4 + -2) - 4. Let m(n) = 5*n - 24. Let l(h) = -2*h + 12. Let o(t) = 9*l(t) + 4*m(t). Determine o(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -39*z**3 + 4*z - 1. What is the remainder when 238 is divided by g(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 91403 = 2*j - b, -228509 = -89*j + 84*j + 2*b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1275*q**2 - 1273*q**2 - 18 + 2531*q**2 + 89 to the form p + s*q**2 + t*q and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 51068640 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 7*o + 96. Determine l(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 40\/2 + (-121)\/((-2541)\/(-423))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 353*m**2 - 4*m - 154578 + 4*m + 154577.\nAnswer: 353*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -208, -421, -634, -847?\n\"Answer: -213*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 25560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 96725920 divided by 3022685\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -50.597 take away 51.69244?\nAnswer: -102.28944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/932 and 19\/5126.\nAnswer: 10252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n + 4*q - 156, -3*q = -8*q + 10. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1098556723*y**4 - 112623452*y**2.\nAnswer: -26365361352*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/20? (a) -2\/66475 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16 + 29. Suppose 11 = 4*g - t. Solve g = 2*h - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 196\/37 - 3089\/185. Which is smaller: a or -11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 429 and 450822229.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -76892*n**4 + 53298*n wrt n?\nAnswer: -922704*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-18)\/30 - (-4428)\/(-20). Is -222 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 5 + (4 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-8)\/(-12) - 82\/6. Is 2 - (x\/1 + -3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -7*v - 484. Calculate f(-45).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is ((4 + 4)\/(-2))\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11)*-1 - sqrt(11))**2*-5 - ((sqrt(11) - sqrt(44))*6)**2.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x - 2. Let a be z(5). Suppose 2*k - 4*j - 2 = -a*j, 2*k - 5*j = 10. Solve 4*v = v + 5*f - 10, v - f = k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 585816*j**3 + 2844134*j**2 wrt j?\nAnswer: 3514896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -52191\/50 + 4158\/25. Let l = 876 + q. Let i be (-22)\/(-28) + 2\/(-7). What is the nearest to i in l, 1, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 834*h + 463*h = -906*h + 350*h - 127857 for h.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - k + 453 = 0, -4*k = p - 137 + 35. Suppose -5*f + p = f. What is the remainder when 57 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -1, -0.2, 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**2 - 2. Let f = 15 - 13. Let a be j(f). List the prime factors of (4\/(-16))\/(a\/172)*-2.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6558, -13121, -19680, -26229, -32762?\nAnswer: -39273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3 + 7*h**2 + 2*h**2 - 8 - 8*h - 6*h**2 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -107506 - -108034.01. Let o = x - 528. Which is smaller: 0.2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*b - 37*b = -60. Solve b*z - 3*z + 25 = 5*u, 3*u - 15 = 3*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -2*g**3 - 30*g**2 - 6*g - 21. What is m(-15)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -206108 divided by 17?\nAnswer: -12124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f*f*f**(2\/9))*f*f*f**(-21))**(-5) assuming f is positive.\nAnswer: f**(910\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -820 + 825. Is 7 a factor of 160*(-20)\/(n + -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1015797625?\nAnswer: 5, 331, 24551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(-6)*4*3. List the prime factors of x\/((-36)\/(-21) - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (48\/(-168))\/(15\/7 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -18 + 15 + g + 3. Let b(h) = 5*h. Determine w(b(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -5*i + 3. Let c = -14 + 8. Let m be 6*((-9)\/c)\/(-3). What is the lowest common multiple of u(m) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 37 - 35. Let x = 13 - -3. Solve 7*y - u*y + g = x, 0 = -4*y - 4*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(8)\/(sqrt(4) - sqrt(4)*-5) + (sqrt(20)\/sqrt(10) + 3 + sqrt(2) + -2)**2 + -3.\nAnswer: 25*sqrt(2)\/6 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(-3*1\/(-2)*-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1 - 19) + 10 - 8) + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1285, 2569, 3851, 5131?\n\"Answer: -p**2 + 1287*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 24 and 65?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.13, -1, 5, -0.2, 4\/3 in decreasing order.\nAnswer: 5, 4\/3, 0.13, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (81\/(-8))\/((-24984)\/(-5552))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11*r + 2*m - 70, 26039*r - 14 = 26042*r + 2*m for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3870922 + -58.75.\nAnswer: -58.3629078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*y**2 + 25*y - 30.\nAnswer: 5*(y - 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -428645 - -1285951\/3. Let 0*x - c*x**3 - x**2 - 4\/3*x**5 + 0 - 17\/3*x**4 = 0. What is x?\nAnswer: -3, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - 14\/(-18))*(0 + -8)*1341\/(-35760).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the third derivative of -x**5\/20 - x**4\/2 - 2*x**3 - 4*x**2. Factor u(o).\nAnswer: -3*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the first derivative of -2*x**2 - 22100000*x + 16. Let t be c(0). What is t rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0763 times 2.27\nAnswer: 0.173201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 828370?\nAnswer: 2, 5, 82837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(-1))**(-1)\/(q*q\/q**(-2\/7)*q)**(-5\/2) assuming q is positive.\nAnswer: q**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 953.0112 millilitres?\nAnswer: 0.9530112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -13219278 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-3)\/(-9))\/(56525\/(-7695)) and 41\/805.\nAnswer: 13685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-204)\/48)\/((-1)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 13048770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/1668 and 79\/2053824.\nAnswer: 285481536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/5 - (-2)\/10. Let u(t) = t**3 + 5*t**2 + 6. Let j be u(-5). Let z = j - g. Solve -z*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v*((v*v\/(v\/(v\/(v*(v**(-3\/7)*v)\/v))))\/v)\/v)*v*(v*v*v**(1\/5))\/v)**18)**(-1\/9) assuming v is positive.\nAnswer: v**(-194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8.4 - 6024.\nAnswer: -6032.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32.7 - 117320.41652.\nAnswer: -117287.71652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 5*a**2 + 11*a - 17. Suppose 7*n - 10 = 8*n. Let v be w(n). Suppose 12*m - 2243 - v = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2\/57, 1\/4, 0 in increasing order.\nAnswer: 0, 2\/57, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -44 = -4*h - 5*u, 0 = -8*h - 595*u + 596*u + 88 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 708*d**2 - 1700*d + 992.\nAnswer: 4*(d - 1)*(177*d - 248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -2*m - 8. Let r be y(-6). Suppose 7*c = r*c. Solve c = -4*p - 0 + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -23450 + 8487. Let p = k + 21946. Is p\/11 + (-24)\/(-132) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 206673755 to the power of 1\/2, to the nearest integer?\nAnswer: 14376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -17637 - -42570?\nAnswer: 23832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -113\/40 and 109\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 - 18*o**2 - 22*o - 53. Calculate u(-19).\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 14) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the first derivative of -p**6\/360 + p**4\/24 - p**3\/3 - 1. Let d(o) be the third derivative of q(o). Factor d(r).\nAnswer: -(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 + -2. What is the smallest value in -5, 5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*c - 70 - 90 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(-3) - (-1356)\/18. Let v(r) = -r**3 - 16*r**2 - 19*r - 30. Let y be v(-15). What is the highest common factor of y and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eo when two letters picked without replacement from moee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2929770 to the power of 1\/2, to the nearest integer?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 2*x - 4. Let j be v(5). Let z be 657\/6 + -1 + j\/4. Suppose 308 = 3*m + z. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k + 8*k - 96. Suppose -h + k - 23 = 0. Let y be (2\/(-4))\/(4\/(-72)). What is the greatest common divisor of h and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r**2 - 2 + 2 + (r + 0*r + r)*(-4*r + 2*r + 0*r) + 3*r + 2*r**2 - 3*r - 5*r**2 + 3*r**2 + 3*r**2)*(-2*r**2 - 2*r**2 + 8*r**2).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -18*n**2 + 80. Let b(p) = 2*p**2 - 5. What is b(s(r))?\nAnswer: 648*r**4 - 5760*r**2 + 12795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -60 + 17. Let u = 51 + d. Solve -9*k + u*k = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k**3 + 5*k**2 + 5*k + 9. Let q be l(-5). Let t = q + 19. Solve -t*f - 3*m - 5 = 4, -f - 7 = -3*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(-2\/27)\/f)\/f)\/f*f)**(-7\/2) assuming f is positive.\nAnswer: f**(196\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -p + 224. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -41*w**2 + 6*w + 3. Let h(c) = 39*c**2 - 5*c - 2. What is 4*h(f) + 3*y(f)?\nAnswer: 33*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 96?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of k**7\/210 + k**6\/5 + 18*k**5\/5 + 36*k**4 - 7*k**3 + 20. Let n(y) be the third derivative of q(y). Factor n(w).\nAnswer: 4*(w + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 9490 and 18346068.\nAnswer: 91730340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -4047884, -4047880, -4047870, -4047854, -4047832, -4047804, -4047770?\n\"Answer: 3*p**2 - 5*p - 4047882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6.14 - -0.14. Let k = 0.2 + -0.27. Let d = -0.93 + k. Which is smaller: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 273663, 547326, 820989?\n\"Answer: 273663*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -51 - -56. Let n(y) = -y**2 + 7*y - 7. Let l be n(c). Suppose 3*p = -l*p + 114. Solve -3*t - 2*t + f - p = 0, -2*f - 6 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 81421 + -19540969\/240. What is the common denominator of -55\/1704 and u?\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14350571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -14*f**2 - 83*f - 398. Let o(s) = -12*s**2 - 83*s - 400. Let x(r) = 5*o(r) - 4*z(r). What is the derivative of x(n) wrt n?\nAnswer: -8*n - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/2439 and 47\/79674?\nAnswer: 239022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes after 12:36 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 5*y. Suppose -3*p - 2*p + 20 = 0. Let g be (0 - (4 + -11)) + -4. Suppose 0 = -4*m - 0*m + g*t - 8, p*t - 15 = m. Determine v(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -149 = 3*t + 2*z - 6*z, 5*t - z + 254 = 0. Let s = -23 - t. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 69*v - 121. What is the hundreds digit of h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m*m\/(m**(-1)\/m))\/(m\/(m\/(m\/(m*m**(-10)*m)))))\/(m*m**(-1\/6)*m*m\/m**0) assuming m is positive.\nAnswer: m**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -9, -0.3, -2\/9, 403?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 106974.\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 2*h - 2. Let x(p) = -7*p**2. Let o(w) = -2*w**2. Let z(b) = -3*o(b) + x(b). Determine f(z(s)).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*x - 65 = 25. Suppose -4*k = -x*k + 84. Calculate the highest common factor of k and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 512137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13764 and 492621.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3\/221 (b) 1 (c) 2\/5 (d) 0 (e) -0.02 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Are -1155572\/3 and -385191 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 8)*(3 + 1 - 3)*(-3*m**2 - 8 + 8).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**2. Let l(b) = -2*b**2. Let h(r) = -2*a(r) + 2*l(r). Let w(k) be the second derivative of -k**4 - 50*k + 2. Give w(h(j)).\nAnswer: -48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 AM and 11:27 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 507 and 36166?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*r = 106*r + 1997 + 199 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2079498092 to five decimal places.\nAnswer: 0.20795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 76054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -902 take away 6196066?\nAnswer: -6196968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3353511 (base 6) in base 4?\nAnswer: 221221303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 - 4*g**2 + 18*g - 41. Let l be i(3). Is -11 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -67*v - 52*v - 17*v as j + u*v and give u.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(833)*3 + sqrt(833) - sqrt(833))**2 - sqrt(833)) + -5.\nAnswer: -7*sqrt(17) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 85*y + 582. Determine t(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes before 10:31 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 2*z - 2. Suppose 2 = -v - 0, 0 = b + 5*v + 14. Let h(m) = -m - 7. Let f be h(b). Calculate g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (99\/42)\/11*6\/(-3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 1209*z - 1217*z + 256. Let w = -239 + 399. What is the highest common divisor of w and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes after 3:30 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.04 in -0.4, 2, -206, -6\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 201.2 - 201. Which is the smallest value? (a) i (b) -2.9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - (-13 + -1 + (6 - -1) + -18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46313 is divided by 118.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2429*d**2 + d - 1107.\nAnswer: 4858*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2462\/53 or -47?\nAnswer: -2462\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o - 200 = -11*o. Let k = o + 59. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wmay when four letters picked without replacement from {a: 1, w: 1, p: 1, m: 1, y: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 22245940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 i when four letters picked without replacement from faiifaifaiiiaif?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149013 is divided by 20891.\nAnswer: 2776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is (873\/12)\/(3\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - (-3)\/(-5))\/(-19*17\/(-16150)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 282 and 330?\nAnswer: 15510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 40 = -4*h, -15*h + 62 = -10*h + m. Calculate the remainder when 194 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 286 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1310317288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 355472?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6792106 and 7808.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**(2\/9))**(-4\/11)*(f\/(f\/(f**(-8\/3)*f)))\/(f\/f**8))\/((f*(f**1*f)\/f)**(-3\/10))**(-12\/11) assuming f is positive.\nAnswer: f**(2096\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-270)\/(-4)*(-10 - -3 - -9). What is the greatest common divisor of f and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/5*(-1 + 9\/(-18)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 10 = 14*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.11? (a) -173 (b) -0.004 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 4*441\/28 + 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -22 - -22.0000045. Round b to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 387 <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8951 + 17311. Does 88 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 700501?\nAnswer: 53, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, 0.79, 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2985, 2979, 2973?\nAnswer: 2967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 375565124.\nAnswer: 2, 11, 31, 25031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 49 - 31. Calculate the greatest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 22 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 695*s - 696*s = -9 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -75.167 + 0.167. Let n = -0.062 - 72.938. Let c = h - n. Put c, -5, 0.01 in decreasing order.\nAnswer: 0.01, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c*c**(-2\/11)*c)\/c)**(3\/29) assuming c is positive.\nAnswer: c**(60\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*w**3 + 4*w**3 + 0*w**3 - 3*w**3 + w**3 - 2*w**3 + (3*w**2 + 3*w**2 - 5*w**2)*(3*w + w - 2*w) - 1 + 1 - w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -27*u**3 + 8*u**2 - u + 13. Let o(s) = -114*s**3 + 34*s**2 - 6*s + 54. Let b(c) = -4*o(c) + 17*w(c). Give b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1008 and 1232.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**3 - 18*c**2 + 16*c + 17. Let s = 113 - 96. Let v be t(s). Solve 3*a + 3*w + 6 = v, 4*a + 5*w + 6 + 4 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1769387*m**4 - 4*m**3 - 21826355.\nAnswer: 7077548*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the first derivative of -3*j**6\/2 + 24*j**5 - 39*j**4\/4 + 64. Factor y(a).\nAnswer: -3*a**3*(a - 13)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 + -a563?\nAnswer: -a564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 22883.0023374 + -22883. Round f to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 5 and 25508.4387423.\nAnswer: 25513.4387423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 - 3*c**2 + c - 6. What is t(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes before 5:48 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32489 is divided by 262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 448283911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 43.3799 weeks to days.\nAnswer: 303.6593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 56 minutes after 4:10 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*16\/(480\/70).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 36 (b) 0.09 (c) 2\/13 (d) 1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32 + 32 + 35*n**3.\nAnswer: 35*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -25 + 25 + -6 - -22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 - 7*o + 36*o.\nAnswer: 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -889, -2837, -8131, -18445, -35453, -60829, -96247?\n\"Answer: -279*z**3 + z**2 + 2*z - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**4 + 2*o**4 - 23*o**4)*(-12 + 12 + 2*o) + (-6*o**2 + 4*o**2 + 4*o**2)*(3*o**3 - o + o + (-2*o**3 - 2 + 2)*(3 - 1 + 0)).\nAnswer: -46*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -2*m**2 + 12*m - 5. Let c be q(5). Let z be (-65)\/(-3) - 4\/6. Let l = z + -1. Solve c*j - j = l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 16) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3047659110 a multiple of 1678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -24182611 minus 73?\nAnswer: -24182684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -5*j**2 - 1. Let h(f) = -14*f**2 - 3. Let a(p) = -6*h(p) + 17*k(p). Let t = -1 - -4. Calculate a(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 28533076 and 5148?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -840, -962, -1158, -1422, -1748?\n\"Answer: g**3 - 43*g**2 - 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6013 and 52399.\nAnswer: 366793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 19\/(-38) + (-9)\/(-2). Suppose -y*f - 632 = 4*w, -4*w - 106 = 5*f + 524. Round w to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 10596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 3)*(13*c**2 - c**2 + 0*c**2) + (4*c + 2*c + 3*c)*(3 - 2*c - 3) + 3*c**2 + 5*c**2 - 2*c**2.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 583741264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) 2\/47 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 407*h - 226*h - 201*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 9*s**2 - 27*s + 173. Does 2 divide y(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -174089*j**2 + 311731*j.\nAnswer: -348178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.15 - -0.91. Let h = 0.24 + x. Which is the nearest to h? (a) -2\/3 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 43748 and 262488?\nAnswer: 262488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 22.4+-26726282\nAnswer: -26726259.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3124 = -12*o - 3604. Let n(i) = -i - 38. What is n(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17639565 a multiple of 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0\/2*1\/2. Let n = o + 2. Suppose -20 = -4*d + n*d. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 127.09559 + -127.1. What is c rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes after 2:40 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -272*d*w**3 - 190*w**3 + 2*w wrt d?\nAnswer: -272*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2281*c**4 - 15791*c**2 + 343*c + 68615 wrt c?\nAnswer: 27372*c**2 - 31582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -68\/9*i**2 + 0 + 2\/9*i**3 + 22\/3*i.\nAnswer: 2*i*(i - 33)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 3*t**2 - 328*t + 1944. Give p(104).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -k - 0 + 8, 0 = -3*c + 4*k - 20. Let o be (-2)\/c - 424\/(-336). Suppose 2\/7*w**3 + 16\/7*w + o*w**2 + 8\/7 = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {z: 1, m: 2, u: 3, s: 1, t: 5, d: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes before 4:50 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/((a\/a**(-1\/2))\/a)*a*a)**45*(a**(-2\/5))**(-34)*(((a**(2\/3)\/a)\/a)**23)**19 assuming a is positive.\nAnswer: a**(-13697\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i**(-2))\/(((i\/(i\/i**(-9))*i)\/i*i)\/i))\/(i**(6\/7)*(i*i**(-3))\/i))**(-1\/8) assuming i is positive.\nAnswer: i**(-71\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 606 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7262.\nAnswer: 2, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -230096.507 rounded to the nearest 100?\nAnswer: -230100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 20383879, 20383880, 20383881, 20383882, 20383883, 20383884?\n\"Answer: l + 20383878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -3*s - s - 1 + 2 + 1. Let v be g(1). Let u(p) = 3*p - 1. Let l(r) = -13*r + 5. What is v*l(x) - 9*u(x)?\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 + 14. Is z\/15 - (-1406)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 4, i: 4, u: 3, m: 1, w: 1, b: 5}. Give prob of sequence mb.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -38 + 32. Let q be 2\/10 + ((-18)\/(-15))\/d. Suppose p = -q*p + 23. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 3*u**2 + 5*u - 2. Let f(y) = -2*y**2 - 3*y + 1. Let w(p) = 7*f(p) + 4*x(p). Let a(h) = -h**2 - 2*h - 2. What is 2*a(q) - 3*w(q)?\nAnswer: 4*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -15, -55, -115, -195, -295?\n\"Answer: -10*k**2 - 10*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -7.218521 rounded to 1 dp?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -435*u + 1740. Let n be v(4). Let k(i) = 4*i**2 - 2*i**2 - 1 - i**2. Calculate k(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.2, 0.4, 8, 4, -5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 73 - 69. Calculate the remainder when 54 is divided by -1 - ((-15)\/o)\/((-6)\/(-32)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -120, 1, -935 in ascending order.\nAnswer: -935, -120, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 81015 and 88380.\nAnswer: 972180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 706 = -0*r. Suppose 5*u + 3*h + r = 0, 3*u - u + 2*h + 142 = 0. Let d be 15\/u*4\/(-3). Which is the second smallest value? (a) d (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*q - 8*q - 25. Suppose 2*b - p - 192 = 0, -q*b - p = -4*b - 96. Which is smaller: 98 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((90\/(-25))\/9)\/((-18)\/(-15))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 3*a - 350. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 461*d + 27064 = 462*d, 4*j + 2*d = 27060. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 4, t: 2}. What is prob of picking 2 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 16 + 8. Let d(h) = -h**2 - 7*h + 9. Calculate the remainder when 3\/2*(-12)\/(-9) is divided by d(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -39, -5\/4, -7?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2\/19, 2\/7, -0.1, 5, -0.0189832?\nAnswer: -0.0189832","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*c - 2*c + 3589*c**2 - 3574*c**2)*(17*c - 24*c + 28*c + 26*c).\nAnswer: 705*c**3 + 470*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - z - 24 = 0. Let s = 6 - z. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -2*w - 8, p + 3 = 2*w + 2. Suppose -5*h + w*h = -24. Let q be 36\/4 + -3 + -2. Calculate the greatest common divisor of h and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -536 - -599. Let f = w + -48. Calculate the remainder when 537 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**2 - 5*n. Let t be w(-5). Suppose m - 2*m + 5 = t. Solve -2*c = 4*g + 4, -m*c + 3 = -7*g + 4*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1270198?\nAnswer: 2, 23, 53, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose c**5\/4 - 10329*c**4\/2 + 63852903*c**3\/2 - 54277853867*c**2 + 110651269559985*c\/4 - 110217557387025\/2 = 0. Calculate c.\nAnswer: 2, 1143, 9185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together -192660457 and -1360040.\nAnswer: -194020497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 26*d*g*l**2*v - 2*d*g*l + 16*d*l**3 - 11581*g*l**3*v - 3*l**3*v - 18708*v wrt l.\nAnswer: 96*d - 69486*g*v - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 7240*k**2 - 59*k + 57. List the prime factors of c(1).\nAnswer: 2, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -99 + -90.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((2*(5 + 2*sqrt(5)))**2 + 6*(sqrt(125) + 0 - sqrt(125) - sqrt(5))).\nAnswer: 444*sqrt(5) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 4, h: 14}. What is prob of picking 1 h and 1 g?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -3\/8, -26, -0.12, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - -11 - (25 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - -7) + (-3 - (-3 + 8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 4 - 169726*k**2 + 169728*k**2 - 7.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o + 52*t = 50*t - 19, -5*o + 79 = 8*o - 6*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2093000 and 819000?\nAnswer: 18837000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 2\/16*-4*4\/11\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13 + 23. Suppose -4 = j - h. What is the greatest common divisor of j and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -361148*-0.14.\nAnswer: 50560.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -23676*o**2 + 2*o - 7. Let a(u) = 117*u**2. Calculate h(a(j)).\nAnswer: -324100764*j**4 + 234*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 90*i**2 + 99*i. Let s(r) = r**2 + r. Determine -198*s(c) + 2*w(c).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -110466854*v**3 - 108808103 wrt v?\nAnswer: -331400562*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 5*p = 30 - 94, -175 = -5*o + 5*p. Let s be ((-2)\/2)\/(3 - 28\/9). Let a = o - s. What is the highest common divisor of a and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -56692*-1829.\nAnswer: 103689668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3\/(-6))\/((-5)\/560). Let a = 1198 + n. What are the prime factors of a?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12*-155*(-50)\/(-3000).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 - 2 - (1 + -14). Suppose -4*x = 4*h + l + 6, 4*x + 8 = 4*h. Let u = x - -3. Let s(g) = g**3 - g**2 - 6. Determine s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9658685 nanometers to meters.\nAnswer: 0.0000000009658685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**3 + 41*n**2 - 288*n - 6881. Calculate k(-44).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 27 - -19. Suppose 2*x - 3*x + a = -3*l, 5*x - 278 = 3*l. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from gpesgegexpee?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 1 q when three letters picked without replacement from {q: 2, t: 2, f: 6, i: 9}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 + 2. Let d be (-102)\/(-17) + -4*1. Find w such that -1\/3*w**4 - 2\/3*w**3 + 0*w - 1\/3*w**d + r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or 13354?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 2*h = 3*i - 491, i - 3*h - 173 = 0. Suppose -42 = -2*g + y, 0*g - 2*y = 4*g - 100. Calculate the greatest common divisor of g and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -103\/103778 and 117\/739100?\nAnswer: 2018482100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 5*q + 6. Let i(o) = 2. Let l(s) = -d(s) + 3*i(s). Let n(x) = -17*x. Give l(n(t)).\nAnswer: 85*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = 14*q + 54 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p - 2. Let i be l(-7). Suppose v + 2*g - 3 = 0, -3 = 2*g + i. Let q = v + 30. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2379316 is divided by 87?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 181 and 2534.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5 + -6. Let g be 2 + -3 - (c - 2). Differentiate g*t**2 + 14*t - 5 - 14*t with respect to t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 2*s**2 + 8*s + 9. Let u be p(-7). Suppose -5*q = 5*k - 95, -3*k + q = k - u. Suppose -3*l = -17 + 5. Calculate the lowest common multiple of k and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 9*v + 4. Let m(i) = 77*i + 18. Let y(a) = 42*a + 10. Let c(h) = 5*m(h) - 9*y(h). Give k(c(d)).\nAnswer: 63*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 6 + -5 - 7 - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 11080339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1024 and 2259968?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rdd when three letters picked without replacement from {d: 15, r: 3}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrorryrorrhyoo. What is prob of picking 2 o and 1 h?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 782749 + -782747. Factor 2 + 1\/4*s**3 - 5\/4*s**l + 1\/2*s.\nAnswer: (s - 4)*(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.117 + -4.883. Let z = c + 5.0142. What is z rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -224716, -449437, -674158, -898879?\nAnswer: -1123600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -57, -70, 1, -1, 86 in decreasing order.\nAnswer: 86, 1, -1, -57, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 19*x - 2. Let d be (-5)\/(-10) - (-7)\/(-2). Let j be z(d). Let r = -2 - j. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ccccccc. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-99)\/6)\/(30\/(-40)*1). Solve 4*j = -3*x + 20, -6*j + j = 3*x - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o - 3*k + 8*k - 56, -3*o + k = 76. What is the remainder when o\/45 - 696\/(-10) is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*y + 160 = 4*y. Let z be -6*((-2)\/y)\/(3\/(-6)). Let s be 3*(1\/(-4))\/(-1). Which is the third smallest value? (a) s (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (2 + -2)\/((-3)\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 5*n - 13 = 0, -t + 3*n - 3 + 10 = 0. What is the highest common factor of 12 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of p**5\/20 + p**3\/2 - 3*p**2 + 7*p - 21. What is u(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1474205 rounded to the nearest 10000?\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of -21\/2*n**2 + 0*n + 1\/120*n**6 - 1\/20*n**5 + 1\/3*n**3 - 1 - 1\/24*n**4. Let b(u) be the second derivative of j(u). Give b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 1)*(0*m - 2*m + 0*m) + m + 5*m - 4*m - 2*m - 2 + 2 + (3 - 18 - 17)*(m - 4 + 4) + (-3 + 3 + m)*(3 - 2 + 1).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) 0.9 (c) -2\/31 (d) 1\/79 (e) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwc when three letters picked without replacement from tttcwwwtctwwwc.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 14 - 2 = 0. Suppose b = -5*v - 2, 0*b + 2*b - l*v + 4 = 0. What is the remainder when -6*((-78)\/9 - b) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 25 = 0, 5*j = -4*n - 6 + 25. Let p = n + -8. Differentiate -l**p + 2 - 1 + 0 wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -126 (base 8) in base 12?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hh when two letters picked without replacement from {p: 7, h: 10, w: 1, n: 1}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 4*i**2. Let q(z) = 3*z**3 - z**2 + 2*z - 1. Suppose -n + 0 = -1. Let y be q(n). Let x(d) = 4*d - 9*d + y*d. What is g(x(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 - 4. Let k = -3 + i. Let c = 6613.4 - 6613. Sort k, -4, 2\/9, c.\nAnswer: -4, 2\/9, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -3*s, u + 256*s + 9 = 252*s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 158619 (base 10) in base 2?\nAnswer: 100110101110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the third derivative of 0*x - 8*x**2 - 1\/60*x**5 + 0 + 7\/8*x**4 + 8\/3*x**3. Let c be u(11). Round c to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110*q = -115*q + 20. Find the first derivative of -27 + 19*r**q - 12*r**4 + 22*r**4 wrt r.\nAnswer: 116*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 32*z**2 - 15*z**5 + 43*z**2 - 19*z**2 wrt z.\nAnswer: -900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7825290 is divided by 11947.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 371*v**3 - 36*v**2 + 5*v - 11. Let o(d) = 185*d**3 - 16*d**2 + 2*d - 5. What is -9*o(s) + 4*u(s)?\nAnswer: -181*s**3 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 3240 (base 5) to base 6.\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of i**3\/3 - 5*i**2\/2 + 2*i. Let p(m) = 5*m - 11. Let t(v) = -9*a(v) + 4*p(v). What is t(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.15717831 to 3 dps.\nAnswer: -0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5229767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 11855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 550, 4465, 10984, 20101, 31810, 46105, 62980, 82429?\nAnswer: 104446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times 97.4\nAnswer: -9.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (76\/665)\/(18\/(-21))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5494 or 5495?\nAnswer: 5494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 89 + -56. Let o = 38 - 61. Let m = y + o. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 33954\/10*1267\/735. Let g = t + -5853. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 255, 511, 767, 1023, 1279?\n\"Answer: 256*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1275 and 1850.\nAnswer: 94350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 14 + 2 = 0. Let h be (10\/45*-6)\/(4\/(-6)). Let u = a - h. Solve 3*q + u + 7 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5*(-7)\/(-18) - 1 and 582\/(-45)*(-9)\/24?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 107189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 2*w. Let f(l) = 65*l**2. Determine f(u(n)).\nAnswer: 260*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 18357*o + 1840. List the prime factors of i(2).\nAnswer: 2, 37, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 709505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 take away 1290732?\nAnswer: -1290731.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16 and 8528.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u + 4173 = 4*x - 5*u, -4*x - 5*u = -4171. Suppose 14*s - 13*s = 2*n + 353, x = 3*s - n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.4, 0.2, 3, 0.51, -7.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2483 and 7831.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -904 or -906?\nAnswer: -906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3 + 4)*(-2 + 0 - 1)*(-a**2 - 2*a**2 - a**2).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a + 9. List the prime factors of f(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-8)\/(-200)*10)\/(1\/10). Suppose -x*i = 2*i - 1338. What is the remainder when i is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -57 divided by 1\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -55, -41, -23, -1, 25, 55, 89?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (1*4*sqrt(17) - sqrt(17)) + 5)**2.\nAnswer: 30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the third derivative of 77*y**5\/60 + 37*y**4\/12 - 12*y**2 - 5. Find the second derivative of p(a) wrt a.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 28 - 28. Suppose g*c + 2*c = -7644. Is (1\/(-3))\/(14\/c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 k when three letters picked without replacement from ivcrciokkki?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y + 2*y - 4*y**3)*(14 - 9 + 12).\nAnswer: -68*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 53 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -325*q + 6465. Determine u(18).\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 + 9 + 14)*(-142*d + 286*d - 143*d - 19).\nAnswer: 30*d - 570","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1874514 is divided by 112?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 2, -249, -1, 1239 in decreasing order.\nAnswer: 1239, 5, 2, -1, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2151*h + 461*h - 1577*h - 129282 = -1038*h for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -74691 (base 10) to base 7\nAnswer: -430521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-6528)\/4896)\/((-5)\/3 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 - -7. Suppose 936 = -d - i*d. Let z = d + 4054\/13. Which is the smallest value? (a) z (b) 5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 34\/5 of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -97\/7 + 14. Let l = -1.3 - -2.3. What is the second smallest value in q, l, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y - y + 3*y + (-1 - 3 + 0)*(-1 + 1 - 6*y))*(-3 + 3 + 4)*(-2 - 1 - 4).\nAnswer: -728*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -29*m**3 - 16*m**2 - 2*m - 9. Let j(g) = 7*g**3 + g**2 + 3. Calculate -4*j(n) - x(n).\nAnswer: n**3 + 12*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 887747 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 12112313 + -10323?\nAnswer: 12101330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 847040 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6023285, 12046568, 18069851, 24093134, 30116417, 36139700?\nAnswer: 42162983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 320 and 245394240?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -2*n. Let g(l) be the second derivative of -5\/2*l**3 + l + 0*l**2 + 9. Give g(w(a)).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 + 2*g - 3 + (-3*g + g + 0*g)*(1 - 4 + 2) - 2*g + 5*g - g - g - g + g - 2 + g + 2.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -366 + 466. Is f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*r - 4. Let k = r - 5. Let p = -2 - k. Sort p, -2, -4 in increasing order.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 352720131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 3, 5, 9, 4, -154.\nAnswer: -154, 3, 4, 5, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 0.5, 2\/11, 0, 2\/21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1295, -1319, -1343, -1367, -1391?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24 + -1*(3 - 2) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 18\/2 + 153\/(-17). Let g(x) be the second derivative of -1\/3*x**3 - 1\/2*x**2 - 13*x + o. What is g(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 2*m = 198, -3*b + m = -186 - 111. Suppose -9*y + 12*y = b. Let k = -17 + y. Solve p = -3*p + k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 126*x**2 - x + 222 wrt x?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -4 + 1 + 3 - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + 110*y + 1 = 109*y, 4*u + 3*y + 11 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 174867 and 4312?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -3*a. Suppose -j - 5*i + 14 = -0*j, -5*i + 18 = 2*j. Let n be u(j). Let r = 38 + n. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 5*y + 16518 = 29, -4141 = -k + 5*y. Let w = -987 + k. Suppose w = 2*v + v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b - 9 - 1. What is the units digit of 41\/(b - 2\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 282552142 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/27*-10 - -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 602 - 9?\nAnswer: 5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**3 + 162*h**2 + 294*h - 4166. Calculate c(-160).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 19 = -j - 3*o, -4*j + o = -11. Let y(g) = g + 7 - 5 + j + 9. What are the prime factors of y(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the third derivative of -5*q**4\/12 + q**3\/6 + 9*q**2 + 2. Let w(r) be the first derivative of -r**2 + 19. Calculate w(m(n)).\nAnswer: 20*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 - -2. Let o = 0.8 + 6.2. Let c = o + -7.1. What is the nearest to c in k, -0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2142 a factor of 26515818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3541101 is divided by 378.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37 - (-1131)\/(-39) - (-39359 - 0).\nAnswer: 39367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -14, -25, -38, -53?\n\"Answer: -f**2 - 8*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 658\/8 - ((-203)\/(-28) - 7). Suppose k = 96 - n. Solve -2*t = 4*l + k, 4*l + l + 5*t + 30 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 75 divide 523950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 1 y when three letters picked without replacement from ayacayyc.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the third derivative of -419*x**6\/120 + x**4\/24 + x**3\/3 - 4*x**2. Let u be i(-1). Suppose -6*y + u = -594. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (130\/40 - 3)\/(1355\/(-4020) + 21\/63)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.9 in -6\/5, -455\/27, -2\/3, -17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12908, 54131, 122828, 218993, 342620, 493703?\nAnswer: 672236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -391*i**3 - 68*i. Let p(y) = 29*y**3 + 5*y. Give -5*m(o) - 68*p(o).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 4*y**3 + 3*y**2 + 3*y + 1. Let f(x) = 5*x**3 + 4*x**2 + 4*x + 1. Suppose -6 + 0 = 2*b. Give b*f(d) + 4*g(d).\nAnswer: d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 2482\/(-1679)*6\/(-32) and 33\/92?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -1.1, -5, -1 in descending order.\nAnswer: 5, -1, -1.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 35014728 a multiple of 2751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1872)*1*-2*-3)**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 19 + 30 = q, 104 = 4*a - 4*q. Let u = a - 13. Let c be u*10\/(-16)*-2. Calculate the greatest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 787 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -6 + 6 - 3*z**2 + 6*z**2 in the form t + m*z + u*z**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -288\/13 in 0.1, -0.8, -38\/49?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:53 PM and 11:47 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5424*o**2*v**2 - 84772*o**2*v - 27*o*v**2 + 2*v**2 - v wrt v?\nAnswer: 10848*o**2 - 54*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 25725 + 10?\nAnswer: 25735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 7 times -0.15\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that -2*z**3\/9 + 5032*z**2\/9 + 12438*z - 76140 = 0.\nAnswer: -27, 5, 2538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -26 + 20. Let c = l + 10. Calculate the least common multiple of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 107274 is divided by 107269.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 27 = -2*q, 2*q - 5*q - 9 = 0. Suppose o + 1 = 2*u. Suppose u*y - 23 = -5*p - 1, 2*p = -2*y + 10. Solve -3 = -p*x + 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 486349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**3 - 22*i**2 + 3*i + 300. Let a be v(22). Solve -a + 361 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2031.453 centuries in millennia?\nAnswer: 203.1453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(1 + (sqrt(400)\/(sqrt(8)*1*6) - sqrt(150)\/(sqrt(30)\/(2*sqrt(10))))))**2.\nAnswer: -55*sqrt(2)\/3 + 3043\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Expand (10631*a + 10271*a + 701*a + 11640*a)*(3*a**4 - a**4 - 4*a**4).\nAnswer: -66486*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*r**3 - 2*r**3 - r**3 - 2*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -170 - 295 = -3*f. Suppose 5*y + f = 5*z, z + 4*y - 40 - 16 = 0. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 359 - 1550. Let h = b + 1778. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**2 + 3*j - 13. Calculate the remainder when 8 is divided by i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y - y + 0*y + y**2)*(y - y + 2*y)*(-3*y - 2*y + 4*y).\nAnswer: -2*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + 2*u)*(4*u - 3*u + u) + 5 - 240*u**2 + 16889*u - 16889*u.\nAnswer: -236*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -534121 by 23.\nAnswer: -534121\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2598 - 1646. Suppose a + 0 - 2 = 0, t = 5*z + a. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**3\/7 + 762*x**2\/7 + 5220*x\/7 - 5984\/7.\nAnswer: 2*(x - 1)*(x + 8)*(x + 374)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-9)\/u**(4\/7)*(u**(-3))**(-2\/111) assuming u is positive.\nAnswer: u**(-2465\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 28 = -0*u - 5*u, 0 = -5*u + 5*h - 30. Sort -3, 23, u in descending order.\nAnswer: 23, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 643924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 2, -22, -46, -70, -94, -118?\n\"Answer: -24*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 3 times 0.01265\nAnswer: 0.03795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.1 - 0.9. Which is the smallest value? (a) -5 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -6 + 165*u - 62*u**2 + 3*u**3 - 106*u**2 + 6.\nAnswer: 3*u*(u - 55)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 206*m**2 - 32*m - 26. Let r(s) = 76*s**2 - 11*s - 10. Let t(b) = 4*p(b) - 11*r(b). Let h(c) = -11*c**2 - 6*c + 5. Give 5*h(j) - 4*t(j).\nAnswer: -7*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 18 = k, -205*k + 3*m = -210*k. Solve -h = 13*r - k*r - 53, 4*r - 29 = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -57023 and 0.3.\nAnswer: -17106.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23, -73, -149, -251?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -177320 (base 8) to base 12.\nAnswer: -31900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49 = -a - 0*a - 3*r, -r = -3*a + 127. Calculate the remainder when 47 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -35 - -21. Let l = -11 - c. Solve l*v - 10 = 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {s: 7, b: 5, q: 1, r: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 3*l = -3, 16*u - 20*u + 2*l = 2. Suppose 3*d + 1963 = 4*n + 6*d, u = -n - 5*d + 495. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 2 t, and 1 o when four letters picked without replacement from ottotbtpgggtgog?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:05 AM and 4:05 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 127 = -4*y, -478*d - 441 = -481*d + 3*y. Calculate the remainder when d is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28240 is divided by 9411.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 82 - 68*s + 264 + 66*s + (4 - 5 + 3)*((-2 + 1 + 4)*(s + 2*s - s) + 4*s - 2*s + 4*s).\nAnswer: 22*s + 346","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -480a (base 11) in base 4?\nAnswer: -1202132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 102022 (base 3) in base 16?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1000110000100 (base 2) to base 10\nAnswer: 4484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1794, -3621, -5520, -7527, -9678, -12009, -14556?\nAnswer: -17355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -13311001 (base 4) to base 7.\nAnswer: -162325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u - 2. Let o(s) = 2*s - 8. Let g(x) = -x + 11. Let m be g(5). Let t be o(m). Suppose -15 = 5*r, t*r + 1 = 4*q + r. Calculate a(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -169\/116970 and -61\/31192.\nAnswer: 467880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/(-3) - (-2)\/(-3). Suppose 3*p + 5*h = 8, -2*h = -0*h - 2. Let n = p + w. Solve -2*f + 2 = -n*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 109538042?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 - (3 + 3) - 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4 - -6. Suppose a*t = -t + 3. Let j be (-29)\/(-8) - (12*1)\/3. Is j at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 165460?\nAnswer: 2, 5, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -6*o**3 - 5*o**2 + 5*o - 7. Let a(j) = -j**3 - j**2 + j - 1. Determine -5*a(q) + t(q).\nAnswer: -q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 225*v - 224*v - 5. Suppose -360 = -v*f + 3*q + 660, 0 = f - q - 204. Which is smaller: f or 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:30 PM and 9:18 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*x**2 + 8*x**2 - 21169057 - 21169053 + 42338110.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -15*j - 1897*j**2 - 4 - 6 + 1892*j**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-2)\/4)\/(5\/1540). Let z = -71 - p. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40245407 is divided by 5397?\nAnswer: 5375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 8*r**3 - 2*r**2 - 13*r - 13. Let b(f) be the third derivative of -f**6\/30 + f**5\/60 + f**4\/4 + f**3 - 7*f**2 + 6. Calculate 13*b(n) + 6*s(n).\nAnswer: -4*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*h - 4643289 = -37*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 290 - 41*r**3 + 2*r**2 - 36*r - 582 - 2*r**2 + 291 wrt r?\nAnswer: -246*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1054020054 - 0?\nAnswer: 1054020054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: What is 127 minutes before 7:31 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -1 - 2 + 6 + 9*y. Suppose 0 = 3*b - 2*m + 3*m + 4, -2*m = 4*b + 4. Give k(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2779 (base 11) in base 6?\nAnswer: 24351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 3*z. Let b(o) = o - 1. Let m(l) = 8*l - 4. Let x(h) = 4*b(h) - m(h). Determine x(s(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -2, 2\/15, -4 in decreasing order.\nAnswer: 3, 2\/15, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 62 + 17 = -5*u, 2*u - 22 = -3*c. Solve 0 = 5*r + 3*h - 3, 2*h + 2 = 2*r + c*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1.50541591 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 3*c - 2. Suppose 3*o = m + 1289998, o + 74043 = -c*m + 504049. What is o rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10 - 4 - 14)*(-3*z + z + 3*z) - 2 - 2*z + 2 + (3 + 2 - 3)*(0 + 0 + 2*z) + z + 4 - 4 - 4*z + 3*z + 0*z - 3 + 3 - z + z + 3*z - 2*z.\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 36535763 and 142043.\nAnswer: 3839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 772? (a) -0.3 (b) 1\/6 (c) -6 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**3\/17 - 3018*n**2\/17 + 6042*n\/17 - 3022\/17.\nAnswer: -2*(n - 1)**2*(n + 1511)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1 - (15 - (-6)\/(-2)). Let b(u) = -u**2 - 11*u + 2. Let m be b(c). What are the prime factors of m\/14*(-245)\/10?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*k**2 - 48350*k - 6012720.\nAnswer: -5*(k + 126)*(k + 9544)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*k**3 + 122190016*k**2 + 622100041150014*k + 414733306460004 = 0 for k.\nAnswer: -10182501, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -52, -215, -488, -871?\n\"Answer: -55*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81 = -4*a + 31. Let y(p) = p + 0*p - 7 + a + 6. Let g be y(-18). Let q(b) = 3*b. Let h(c) = -12*c. What is g*q(w) + 2*h(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**3 - b**2 + 1. Let s(p) = -4*p**2 - 4. Let t(z) = -g(z) - s(z). What is the smallest common multiple of t(5) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -31.958, -3, 5\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (898\/22001)\/(((-106)\/105 + 1)\/((-7)\/21))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 17, 79, 147, 221, 301, 387, 479?\n\"Answer: 3*k**2 + 53*k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + (-5 - -9) + 15 - (-7 + -1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 19584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-5)*625\/(-125)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -98*p**2\/3 - 532*p\/3 - 722\/3.\nAnswer: -2*(7*p + 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4708 and 220.\nAnswer: 23540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7178 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -29 - -43. Suppose 3*l = 1 + g. Let z be 12\/15*l\/26. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 175*n**2 + 638*n - 5358. Calculate k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 3\/5, 0, 3, 1.67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -109?\nAnswer: 5\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) 0 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/16 + 18\/8. Let i = 7 + k. Let p(f) = 4*f. Let t(j) = 9 + 11 + 26*j + 15 - 9*j - 36. Calculate i*p(s) - 2*t(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 126 - -117?\nAnswer: 23d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**3 - 25*c - 5. Let n be m(-5). Let r(y) = 5*y**3 - 3*y**2 + y - 2. Let x be r(2). Let v = x - 20. Sort v, n, -3 in descending order.\nAnswer: v, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/w**9)\/(w\/(w\/(w\/(w\/(w\/(w**(-6)\/w)))))))\/(w**(-8)*w*(w**(-3\/7)\/w*w)\/w*w) assuming w is positive.\nAnswer: w**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 - 5*o**2 + 12*o - 14. Calculate b(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the first derivative of -2*v**3\/3 + 233*v**2\/2 - 231*v - 2630. Find z such that f(z) = 0.\nAnswer: 1, 231\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t**2 - 6*t - 7. Let p be u(-3). Suppose -9 = -p*q + s, 3*q - 12 - 3 = 2*s. Suppose j = d - 2*d + 34, -q*j + 15 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5628579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 2*u**3 - 2*u**2 - 4*u - 2. Let o(q) = 4 + 5 - 2*q**2 - 7*q**3 + 8*q**2 + 16*q + 3*q**2. Let b(i) = -9*k(i) - 2*o(i). Find v, given that b(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.205 - 3477200200.9\nAnswer: -3477200201.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*o - 48 = 32*o. Let a(n) = -o*n - 137 - n + 120. Let u(w) = w + 4. Give 2*a(h) + 9*u(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z and 2 y when four letters picked without replacement from ykzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s - s**3 + 0*s)*(0*s**2 + 2*s**2 - 3*s**2) + 230*s**5 + 4631*s**3 - 4631*s**3.\nAnswer: 231*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6\/335? (a) -1 (b) -28 (c) -2\/3 (d) 4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 26 - ((-56 - -1) + 382 + -372)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 53141305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.7 * 101.\nAnswer: -373.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -16 (b) -0.14 (c) -25 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(342)\/sqrt(2) - ((sqrt(285)\/sqrt(5))\/sqrt(3))**2) + 2*(sqrt(1216) - 2*sqrt(1216)*2).\nAnswer: -45*sqrt(19) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2 - 6*y + 8. Let q be a(6). Suppose -4*t - g = -134, -g - 3*g + q = 0. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -682 = -3*a + 4553. What are the prime factors of a?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 14325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -300117 + -40?\nAnswer: -300157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-2\/27)\/(d*d**7) assuming d is positive.\nAnswer: d**(-218\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 d and 1 g when four letters picked without replacement from dgdgngdgn.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 703*c**3 + 689*c**3 - 1394*c**3 + 111.\nAnswer: -2*c**3 + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-9)\/(-6)*(0 + 10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1354*s - 55854 = 1336*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*q + 171863*q**2 - 17 + 4*q - 171928*q**2 as n*q + k + u*q**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (8\/112)\/(4\/(-8))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 4. Factor 3*n**h - 9*n**2 - 4*n**3 + n**3 + 0*n**3 + 6 + 3*n.\nAnswer: -3*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 648 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 18028692 by 954.\nAnswer: 18898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2331617891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.03 times -9.75\nAnswer: -0.2925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:17 AM and 11:42 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -3*m**3 - 3*m**2 + 6*m - 4. Let a(c) = c**3 - c - 1. Let s(y) = 2*a(y) + x(y). What are the prime factors of s(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -5*u + 8. Let b(j) be the second derivative of j**3 - 9*j**2\/2 + j. Let v(g) = 4*b(g) + 5*n(g). Let p be v(4). Solve p*i = 3*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*w = 56*w + 40, -37 = 5*m + 4*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes before 9:38 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16 + 15. Let b = n - -1.2. What is b rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + 18 - 7 - (2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 97376769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the second derivative of -q**4\/6 - 13*q**3\/3 + 819*q - 3. Let r(c) = 2*c**2. Determine v(r(l)).\nAnswer: -8*l**4 - 52*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = 5*y - 8, -4*y + 11 + 8 = 5*r. Suppose -r*j - 33 = -a, 3*a - j = -0*j + 59. What is the highest common divisor of 24 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes before 3:56 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -5*q - 8. Let r(n) = -4*n - 9. Calculate -5*r(m) + 6*u(m).\nAnswer: -10*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 774 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10090722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*t = -81 + 506 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - 145 = -2*b - 128, -4*b = -2*n + 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.04 (c) -5\/2 (d) 0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5672121552.\nAnswer: 2, 3, 486293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 94206096.\nAnswer: 2, 3, 654209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18.1 + -18.277. Let f = r - 26.623. Round f to 0 dps.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15272.\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 29962232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 PM and 3:00 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.61493 - -1.71493. Suppose -r - 3*n - 16 = 0, 4*n + 20 = 5*r - n. What is the nearest to h in r, -0.1, -3, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/(-6))\/((-1)\/(-15)). Suppose -g + 2*m + 6 = -4, o*g + 2*m = -10. Solve -w - 1 = -g*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6c971 (base 16) in base 8?\nAnswer: -1544561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 110 - 95. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*b + 52*b - 540 = 19*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 7*36\/189*3. Suppose -c - 2*c = 5*a + 9, -4*c + 14 = -2*a. Solve l*p + 16 = r, 2*r + c*p - 1 = 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (5 - 3) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 432 and 2319317064.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 1496\/(-374) + (201\/21 - 1 - 2)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the first derivative of 13*u**4\/4 + u**3\/3 + u**2 - 3*u + 903. Let q = 1 + 1. List the prime factors of n(q).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*x - 2*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mrm when three letters picked without replacement from {r: 7, m: 3}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 223 - -7482?\nAnswer: 76a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 139*f - 134*f + 19 = -4*z, -14*z = 5*f + 29 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2845 - -26?\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be 475930\/143 + 4\/(-22). Let l = -46495\/14 + p. Find the common denominator of l and 11\/296.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5\/(-3) - 4\/(-6). Let v = 56 - 56. Suppose v = 4*n + 5 - 13. Put g, n, 1 in descending order.\nAnswer: n, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 24\/(-15)*-2*25. Calculate the greatest common factor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {r: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h**2 + 3*h**2 + 2*h**2)*(-h + h + h) + 2*h**3 - h**2 + 4*h**2 - h**2.\nAnswer: 4*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 + 10. Suppose w - 5 + 3 = 0. Find the second derivative of 3*t + 2*t - t - p*t**w wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 78689 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 204 by 369198.\nAnswer: 34\/61533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3\/7 (b) -1.4 (c) -3\/5 (d) -0.2 (e) 2\/9 (f) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**2 - 6*m - 56. Let j be c(-13). Suppose -5*t + j = 4*w, 5*w - 260 = -8*t + 6*t. Calculate the lowest common multiple of w and 66.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 + -5. Let b = -34 - -32. What is the third biggest value in o, b, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(66) + (sqrt(66)*-1 - sqrt(66)))*6)\/sqrt(6).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -2*r**3 + 2*r**2 + 1. Let d be k(-4). Let s = d - 262. What is the tens digit of (-4)\/18 - s\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggsjpoop. What is prob of sequence ggjp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*n**2 - 83511*n - 93102*n - 83511*n + 0*n**2 + 260124*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 554 divided by -260?\nAnswer: -277\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -264, -818, -1732, -3006, -4640, -6634?\nAnswer: -8988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(8\/3)\/y)**(10\/17) assuming y is positive.\nAnswer: y**(50\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 30.3 - 35. Let z = 1.7 + f. Which is the nearest to 2\/11? (a) 0.1 (b) z (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 8, b: 2}. What is prob of sequence pppp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z*z**(1\/3)))**(16\/5)\/(((z\/z**(-2\/13))\/z)\/((z*z\/(z*z**(-2)*z))\/z)) assuming z is positive.\nAnswer: z**(-43\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 0.02, -15, 2397 in descending order.\nAnswer: 2397, 0.02, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 6880442 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: What is the thousands digit of 29348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -13500681 + -94?\nAnswer: -13500775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -404 greater than -2746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111011101 - 11010000011?\nAnswer: -10010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 148*z**2 - 8*z - 91. Let a be h(-5). What is the highest common factor of 123 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-4\/5)*((n\/(n*n**(-5)))\/n)\/n*(n*n**(2\/7)*n*n)**(-24)*(n**(1\/2))**(-14)*(n**(-1\/2))**(3\/5) assuming n is positive.\nAnswer: n**(-5877\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -27\/10549 and 59\/194010495.\nAnswer: 2134115445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.63, 4, -34\/109 in decreasing order.\nAnswer: 4, 0.63, -34\/109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 189161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**4)**(-15) assuming i is positive.\nAnswer: i**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3813 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (18\/(-3) - 0)*(-65 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(-2 - (-177)\/87). Let l(c) = -c**2 - 28*c + 51. Calculate the remainder when 60 is divided by l(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6 and 2465.\nAnswer: 14790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, -0.16, 0, 2\/7, -18\/17, 1\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 471, 473, 475?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -1 + sqrt(19) + sqrt(19) - 3*(sqrt(19) + 3) - (6*(sqrt(19) + (sqrt(684) - (sqrt(684) + 2))) + 2))**2.\nAnswer: 42*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.049 + -67.951. Is f at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 27781, 27775, 27767, 27757, 27745, 27731, 27715?\n\"Answer: -l**2 - 3*l + 27785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 - 150*w**2 - 300*w - 193. Calculate a(-148).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*z + 38*z - 100 = -2*t, 3*z - 60 = 2*t. Calculate the smallest common multiple of z and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*11\/44*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cgn when three letters picked without replacement from bgccncncng?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.01 and -1205.3938.\nAnswer: -12.053938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*n = 22*h + 72, -433*n = -428*n + 2*h - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1\/82 + 75\/574. Let m be (-1)\/(3*2\/6). What is the nearest to -2\/7 in h, m, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18377431 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -7718947.2 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -125 - 6*d + 125 + 72*d in the form s + u*d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -20, -0.4, -7\/5, -4.2, 4 in ascending order.\nAnswer: -20, -4.2, -7\/5, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 130216?\nAnswer: 2, 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 6, 12, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -196*c**4 - 2*c - 469*c**2 + 12*c**4 + 426*c**2 wrt c.\nAnswer: -4416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.003215497 to 5 decimal places.\nAnswer: -0.00322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -81 - -285. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -379 divided by 1.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 1346 = 5*k - d, k - 5*d - 327 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d**5\/8 - 7*d**4\/4 - 3*d**3\/4 + 19*d**2\/2 + 109*d\/8 + 21\/4 = 0. What is d?\nAnswer: -1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 25 - 26. Let s(c) = -29*c + 2. What is the tens digit of s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 108 - 217 + 109 - 4*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 26524951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the third derivative of 4*o**7\/105 + o**4\/6 + 2*o**2. What is the second derivative of j(s) wrt s?\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llllclllllllclcllllc.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mem when three letters picked without replacement from mmee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 21 + 79. Let u = -43 + h. Suppose u = m + 22. Solve 5*l + m = -2*w + 7*w, -l - 19 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 + (-8 - (0 + -8 + (7 - 10))) + -4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from obdsbdjsbdjjbsod.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 34390 and 1448?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -2*h - 15. What is b(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.68 - 7.68. Do 62 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 2*j**2 - 27*j + 16. Let x be i(13). Let v be 1*x*336\/468 - 2. Sort 0.5, 4, v, 0 in ascending order.\nAnswer: 0, v, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange z - z - 2*z**2 + (2 + 4 - 4)*(4 + 7 + 0)*(3*z**2 + 3*z**2 - 4*z**2) to the form c*z + g*z**2 + a and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**3 + 748*h - 1501. Calculate f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 174*g + 5553. Calculate l(-32).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from afeaeafee. What is prob of picking 3 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -532677460 divided by 1246.\nAnswer: -427510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -189a4 (base 12) in base 13?\nAnswer: -134b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*s - 1008 = -1038 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -0.007, -3, 1\/3, -2\/61 in decreasing order.\nAnswer: 1\/3, -0.007, -2\/61, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + f + 15670 = 71050, 5*f - 110754 = -4*j. Let a = -15176 + j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114*m + 109*m + 1850 = 0. Find the common denominator of -53\/7 and -5 + (m\/15 - -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 193, 358, 5.\nAnswer: 5, 193, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 162191 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -23*k + 23*k - 24*k + 4439*k**2 + 24*k as h*k + i*k**2 + p and give i.\nAnswer: 4439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -a - 280 = 68*c, 3*c - 21 = 3*a - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5 - -66652675?\nAnswer: 66652702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -1.8, -4, 2\/5 in increasing order.\nAnswer: -4, -1.8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 81157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -106430.766864 less than -1?\nAnswer: 106429.766864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 32, 4, -2, 0, 1430 in descending order.\nAnswer: 1430, 32, 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = 2*a - 20, 5*n + 10 = -5. What is the tens digit of 1 - -28 - (0 + a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 5913, 5569, 4997, 4197, 3169, 1913, 429?\n\"Answer: -114*o**2 - 2*o + 6029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in -2, 5\/7, 0.2, 2, 622.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 3*z**3 + 1942*z**2 + 12183*z + 2691. Determine m(-641).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + v + 50 = 2*n, 186 = 4*n + 3*v. Find the third derivative of 3*t**3 - 6*t**2 + n*t**3 - 6*t**3 - 4*t - t wrt t.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/15 - (-32)\/24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4123 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the third derivative of a**4\/12 + 5*a**3\/3 + 5*a**2 - 6. Let p(v) = v. Let x be p(5). Suppose -x*z + 3*w = -3*z + 14, 4*w = 0. Give n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 PM and 7:07 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 3*k + 3 = 0, 4*k = 2*k - 2. Suppose p - 2*u - 446 = o, -3*p + 0*p = 2*u - 1314. Round p to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 856\/11 - 78. Which is smaller: -15\/4 or w?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x = 0, 22*s = 26*s - 4*x - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/79794 and -28\/512655.\nAnswer: 95353830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - g + 193551 = 0, 3*i - 3*g + 2*g = 145172. Suppose 4*v = 43611 + i. What is v rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -121\/48 and -65\/33.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22862.\nAnswer: 2, 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:17 AM and 11:14 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = -12*k - 74 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x**2 - x + x + (-1 + 4 - 2)*(2*x**2 + 2*x**2 - 3*x**2) - 5*x**2 + 0*x**2 + 3*x**2)*(45*x + 38*x + 27*x - 36*x).\nAnswer: -222*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -241, -236, -233, -232, -233, -236?\n\"Answer: -h**2 + 8*h - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 - 3 + 2)*(0*f - 7*f + 3*f) + 4*f + 0*f - 6*f)*(f - 13*f**2 + f**2 + 15*f**2).\nAnswer: -30*f**3 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 3 = 5*h, 4*h = -10*t + 7*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000413912 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27812 is divided by 12910?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15150, 15165, 15180?\nAnswer: 15195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -20 + (-13 + 4 + -2 - (38 + -58))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that 2*g**3\/19 - 1461132*g**2\/19 - 11689152*g\/19 - 23378368\/19 = 0.\nAnswer: -4, 730574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be 161\/(-35) - 4\/10. Calculate the remainder when 3 is divided by o\/(-3) - 2\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*v**4 + 15*v**4 + 9*v**3 - v**4 + 1 - 10*v**3 to the form p*v**2 + a + w*v**3 + u*v + m*v**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 + 5. Suppose 4*j + h = -19, -j + 3*j - h + b = 0. Let f be 2\/j - (-81)\/15. Solve -o - f = -2, 8 = -5*y - o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1330 - 100230031?\nAnswer: -100222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (55 - 17) + (-48 - -29).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**3 + 2*l**2. Let u be n(-2). Suppose u = 4*b - 9 - 43. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 175 and 595?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -3*y + 66565, y = -18*o + 19*o + 22188. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 97958 and 1539340?\nAnswer: 10775380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 15*d - 7812 = 0. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 278517204?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2121 - -30713?\nAnswer: 33034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -26 - -25. What is the nearest to z in 1.1, 0.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**3 + 10*f**2 + f + 8. Let p be 2\/(-3*2\/(-30)). What is the units digit of x(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -33 + -1015?\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 361729, 361728, 361725, 361720, 361713, 361704?\nAnswer: 361693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -17\/9 (b) 5 (c) -2 (d) 6 (e) -0.07 (f) 2\/99 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -43.708 - -43.70773877. What is r rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-11)\/(1*-4*(-9)\/108). Let n = f - -32. List the prime factors of (-1)\/3 + (-2130)\/(-18) + n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6738253.\nAnswer: 31, 217363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1724 is divided by 571?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes after 7:51 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -374 + 379. What is the highest common factor of 105 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 3 = 0, 2*y - 394 = -5*o - 0*y. Suppose 0 = 5*s - 45 - o. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 153.1 and 1?\nAnswer: 153.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 3*p = -10. Let l(i) = i**3 - 5*i**2 - 5*i - 4. Let x be l(6). What is g in 5\/4*g**p + 1 - x*g - 1\/4*g**3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t**3 - 14*t**2 + 49*t - 29. Let u be n(-17). Suppose -4*h + 252 + 36 = 0. Suppose -h = -u*x - 2. Put 3, 0, x in descending order.\nAnswer: x, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 549 + t**3 + 118*t**2 + 554 - 1109 as l*t**2 + z + k*t + n*t**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4814 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hrc when three letters picked without replacement from {o: 2, c: 1, h: 1, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1043 is divided by 63.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7802226.\nAnswer: 2, 3, 107, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4663 + 19948. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(490) + -2*sqrt(490))*2*4)\/(sqrt(12)\/(-1*sqrt(6)) + sqrt(98)*-3).\nAnswer: 28*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -712, -2227, -3544, -3673, -1624, 3593, 12968, 27491?\n\"Answer: 165*m**3 - 891*m**2 + 3*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 111885, 224233, 337043, 450321, 564073, 678305, 793023?\n\"Answer: w**3 + 225*w**2 + 111666*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 44? (a) 1\/9 (b) -5 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 437, 940, 1549, 2264, 3085, 4012?\nAnswer: 5045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -6218, -50355, -170198, -403613, -788466, -1362623, -2163950?\n\"Answer: -6311*q**3 + 13*q**2 + q + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + 10. Let n be 26\/4*4 - 1. Suppose -n = -2*j + 23. What is the greatest common divisor of j and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = -2*n + 1934, -5*x + 957 - 2846 = -2*n. Suppose 0 = -v - 4*a + n + 302, 5*v - 5*a - 6295 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 253 and -353 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 3*w = -538, -4*m + 2*w = 179 - 707. Solve 23*j = 42*j - m for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j + 4. Let z(b) = -b + 3. Let s(h) = -4*f(h) + 5*z(h). Let l(n) = -3 - 1 - 35*n + 0 + 29*n. Calculate l(y) - 2*s(y).\nAnswer: -4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12 - 12. Let b(f) = 11*f - f**2 - 3 - f + p*f. What is the remainder when b(8) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -80.5 + -536.5. Let a = n + 617.00654. What is a rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 492 minutes before 7:00 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3.8 + -1.2. Let w = 16 - 63\/4. Which is the biggest value? (a) v (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 + 1)*1 - -11. Let w be (-10)\/(-24) + (-8)\/r. Which is the nearest to w? (a) -2\/9 (b) -3 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 875677 is divided by 208?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -19*b**4\/3 - 539*b**3 - 170*b**2\/3.\nAnswer: -b**2*(b + 85)*(19*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((sqrt(234)\/(3*sqrt(9)) - sqrt(26)) + sqrt(26)))\/(sqrt(10)\/(sqrt(180) - 4*sqrt(180))) + 5.\nAnswer: 5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 43 + 6. Let i = r + 15. Suppose -4*p + 4 + i = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4269971 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2447 = 6*n - 533. Let w = n + -421. Let b = 1743 + w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*p - 29 + 29. Let j = 1.2 - 0.2. Sort p, j, -0.3 in decreasing order.\nAnswer: j, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.62 - -1.02. Let m be ((-9)\/(-66))\/((-15)\/(-20)). Put -20, 0.3, m, b in ascending order.\nAnswer: -20, m, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13120426483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3142022344 + -1?\nAnswer: 3142022343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 + 8 = -2*r. Solve 3*n - 8*n + 28 = -3*w, -4*w = 2*n - r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -24*b**2 - 636*b - 2504. Let n(g) = 5*g**2 - 2*g - 2. Let d(p) = 4*n(p) + z(p). Factor d(o).\nAnswer: -4*(o + 4)*(o + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 - 165*r**3 + 10*r**4 - 163*r**3 - 38*r**4 + 5*r - 14*r**4 + 326*r**3 to the form g*r**3 + q + c*r**2 + f*r**4 + d*r and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -63*q + 1 - 3*q - 27*q + 217*q + 89*q to s*q + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - m = 229, -15 = 2*m - 25. Solve 9 = -3*t - 5*n, -2*n - 15 = u*t - 112*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12.49 in -1.2, -4, -2, 25\/2, -4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the first derivative of -n**4\/4 - n**3 + 2*n**2 - 5*n + 129. What is l(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 15 = 2*w + 1, -4 = -2*r - 2*w. Suppose r*z - 15 = -3*i - 0*z, -2*i + 10 = z. Solve 5*t - 10 = i*p, 2*p + 1 = -2*t + t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*s**4 + 11*s**4 + 2*s**5 + (0*s + 0*s - s + (s + 0 + 0)*(-2 - 2 + 2))*(4*s**4 + 2*s**4 - 3*s**4).\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -2*q - 18. Let b be n(-9). Let f(k) = 2*k**2 - 5*k - 40. Let j(y) = 2*y**2 - 6*y - 40. Let v(p) = -7*f(p) + 6*j(p). Does 7 divide v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18289, -18303, -18339, -18409, -18525, -18699, -18943, -19269?\nAnswer: -19689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 20*j + 80. Let z(m) = -m**2 + 5*m + 18. Let v be z(4). What is the units digit of g(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**3 + 18*n**2 + 65*n - 48. Let t be q(21). Let r(g) = -2*g - 3. Let z(h) = h - 1. Give t*z(v) + 2*r(v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = -5*t + 5, 0 = 22*w - 18*w + 5*t - 9. Let i(v) = v**2 + 7*v + 7. What is i(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2969\/((-4)\/(-12 + 0)).\nAnswer: 3, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 344?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 19965 divided by -3\nAnswer: -6655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 41 = 39. Solve 4*o = -3*j - 1 - x, o = 4*j + 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 3*r - 4. Let w be l(3). Suppose w*y - 3*v + 5*v - 320 = 0, -2*y = -v - 137. Suppose 0*c = -3*c + y. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -337 - 0.8\nAnswer: -337.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**2 - 6*q + 7. Let c = 265 - 363. Let t = c + 103. Determine s(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**2 - k + 1. Let t(o) = -38*o**2 + o + 1. Let i(d) = 141*d**2 + d - 7. Let n(g) = -2*i(g) - 6*t(g). Calculate 8*b(a) - n(a).\nAnswer: 46*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -32604 (base 9) in base 10?\nAnswer: -21631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-533)\/(-451) + (-2)\/11)\/(-1). Sort i, 2, -172, 0 in decreasing order.\nAnswer: 2, 0, i, -172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 161?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 62943771 to the nearest integer?\nAnswer: 7934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2072321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1 and 30414.\nAnswer: 30414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 453563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-165)\/((-6600)\/208))\/(4\/5).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-25)*u*u**(2\/35))\/(u**15*u)**(-1\/13) assuming u is positive.\nAnswer: u**(-10334\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 + 2. Let c(m) = -m + 3. Let h be c(0). Is l greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(153) + (sqrt(153) - 6*2*sqrt(153)) + 5*(sqrt(153)*2 + sqrt(153) + sqrt(153)))\/(3*4*(sqrt(9) - sqrt(225) - sqrt(9)))*-2*-5.\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5255*u**3 - 7221 + 7221.\nAnswer: -5255*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the first derivative of 8*i**2 - 4. Let y(r) = -2*r. Suppose -2*z = 37 - 35. Let b(c) = 2*c**2 + 12*c. Let t(a) = z*b(a) - 6*y(a). Give h(t(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dwwd when four letters picked without replacement from wwdd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 3) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 14*c**2 + 8*c + 34. Let q be m(-3). What is the greatest common factor of 119 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 672 and 588.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 23, 70, 149, 260, 403?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -44\/9 (b) 0.32 (c) 70\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/((-3)\/(-12))*(-111)\/(-12). Suppose -3*r = 5*o - 86, 5*r + l - 171 = o. Suppose 0 = -4*g + 185 + 127. What is the remainder when g is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:24 PM and 2:06 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.02 and 259.29155.\nAnswer: 259.27155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 299858.9794 - -5?\nAnswer: 299863.9794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00397569136 rounded to five decimal places?\nAnswer: 0.00398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.0098 - -0.9298. Which is the smallest value? (a) -3.4 (b) 0.3 (c) 2\/13 (d) y (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 131 + -75. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 442*n**2 + 2. Let w be b(2). Round w to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -3472 - -236.7\nAnswer: -3235.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1675 + -1983. Is -310 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16565, -35178, -53791, -72404, -91017?\nAnswer: -109630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 105139*h**3*p**2 - 25*h**3*p + 2*h**2*p**3 - 13*h**2*p + 8*h*p**2 + 2175*h*p wrt p?\nAnswer: 210278*h**3 + 12*h**2*p + 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 633791358?\nAnswer: 2, 3, 23, 510299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1*27\/15*(-18)\/(-81). Factor 0 + 0*d + 0*d**4 - f*d**5 - 4\/5*d**2 + 6\/5*d**3.\nAnswer: -2*d**2*(d - 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -180093879 rounded to the nearest one million?\nAnswer: -180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-332)\/1660*5\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 2*g - 778998 = -g, -311592 = -2*y - 3*g. Suppose 0 = 5*x + 2*n - y, n - 31161 = 12*x - 13*x. Round x to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0074737948 to five decimal places.\nAnswer: 0.00747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-10)\/(-7))\/((-24)\/(-4368)). What is the greatest common factor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -2*d**5 - 3612*d**4 + 12255492*d**3 + 36788128*d**2 + 36795342*d + 12266316 = 0.\nAnswer: -3537, -1, 1734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/(-4))\/((-5)\/(-30))*462\/(-63)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 60 = -g + 3*c + 47, -2*g - 23 = -5*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (b - 4*b + 4*b)*(-1 + 1 - b) + (-3 + 2*b + 3)*(3*b + 8 - 8).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18)\/(-90) - (-4)\/180?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 2430 = n, 4*c - 2*n - 1212 = 3*c. Let a = -39 + 49. Suppose a*x = 2*x + c. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12.72 - 11.72. Sort 21, -1, j in ascending order.\nAnswer: -1, j, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22070135?\nAnswer: 5, 67, 65881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -5*t**2 + 6*t + 6. Let p(i) = 9*i**2 - 11*i - 11. Suppose -2*y - 5*j = -42, -2*y + 7*y = -4*j + 71. Calculate y*n(h) + 6*p(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*a**2 + 7*a**2 + 3*a**2)*(1 - 2 - 3).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4.774 - 5.7. Let g = p - -0.026. What is the nearest to g in 4, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 2082, 4322, 6724, 9288?\n\"Answer: 81*y**2 + 1997*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a - 27 - 3. Let i = a - -10. Let v = 12 + -6. What is the remainder when v is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 479 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 73*c - 239. Let w be t(23). Suppose 2*v - 20*v + w = 0. What is the least common multiple of v and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -180760 rounded to the nearest 1000?\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Find the second derivative of 2161555*n**4*p + 316759*n*p + 2*p wrt n.\nAnswer: 25938660*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k = 5*k - 33. Suppose -k*d + 50 = -7. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1978542 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the second derivative of -9*j**5\/4 - 67*j**3\/3 + 25*j - 2. Find the second derivative of o(z) wrt z.\nAnswer: -270*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -71231196 divided by 6?\nAnswer: -11871866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 1 j when three letters picked without replacement from llcjclnlenljlllcllll?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 3729*j - 14872. Give f(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 511465 to the power of 1\/2, to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11 - -17. Let r = -155 - -157. What is the third biggest value in j, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4540 + 7364. What is the remainder when m is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -3*k**2 - 2*k - 6. Let q(v) be the first derivative of -4*v**3\/3 - 3*v**2\/2 - 7*v - 12. Let i = 14 - 10. Suppose 6 + i = -2*h. Give h*b(y) + 4*q(y).\nAnswer: -y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*v - 26*v + 47*v + 2418 = 0 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -32010 by -1165.\nAnswer: 6402\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 12 (b) -3\/7 (c) 0.3 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i and 2 j when four letters picked without replacement from iiiiiiijiijxix.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2812 + -2809. Which is the second biggest value? (a) -3 (b) 11\/8 (c) 5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.049411 + -1227.699411. Let h = -1173 - w. Let g = h - 56. What is g rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 1.7, 3\/5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1 - (2 + (-3 - 0)). Suppose -1 = -p + z. Let b(o) = 5*o + 0*o - 3*o. Give b(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vjjijjqqqqijjvqqqvj. Give prob of sequence vj.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -35*k + 2*k**2 + 18*k + 10*k + 9*k in the form m*k**2 + q*k + t and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -655 - f + 0*f + 609 in the form j + h*f and give j.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 0.101 (b) 2\/15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**5 - 8*q**4 + 60*q**3 - 40*q**2 - 58*q + 48 = 0 for q.\nAnswer: -8, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -299.746728 rounded to one decimal place?\nAnswer: -299.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(168\/(-35))*-4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11)\/110*(-1)\/(3\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the second derivative of -167*z**7\/3 - z**4\/12 + 179*z**3\/3 + 3*z + 572. What is the third derivative of c(u) wrt u?\nAnswer: -140280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -485, -469, -439, -389, -313, -205, -59, 131?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13 + 8. Let r be (-1)\/(10 - (-4 - -7)). What is the nearest to t in -4, -2, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -331*t**5 - 18*t**2 - 3 wrt t.\nAnswer: -19860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = -7*r. Suppose r = -3*u + 7*u - 60. Let l be 2\/u*(5 + -2). Which is bigger: l or -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 28480, 56958, 85436?\n\"Answer: 28478*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -7688.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 117 + 9 + -5 + -3 + 0 and 16?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**2 + 7*b + 8. Let h be l(-6). Suppose -3*u = -2*u - h. Suppose x + 203 = u*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 0)*(2*u + 0*u - 3*u)*(-58*u**3 + 24*u**4 + 58*u**3).\nAnswer: 48*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4308 + 4307. Which is the closest to t? (a) -3 (b) -0.1 (c) 2\/55 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the first derivative of -9*t - 46 - 2\/3*t**3 - 7*t**2. Give c(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -149, -140, -119, -80, -17?\n\"Answer: f**3 + 2*f - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -324326.378 to the nearest ten.\nAnswer: -324330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h + 4*h - 3*v = -h + 2*h - 18, 195*v - 205*v + 10 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - (-20 + (-795)\/(-105)) - 0.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) -3 (c) -0.02 (d) -13576\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -131 divided by -5233.\nAnswer: 131\/5233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r = -l + 25, -3*r - 213*l + 209*l - 20 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = t - 576, 11*t - 8*t = 2*n + 298. Let a be -1 + 26\/n + (-48)\/(-22). Let o(v) = v + 1. Let q(j) = j**2 + j - 2. What is a*q(i) - o(i)?\nAnswer: i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -53210 + -1?\nAnswer: -53211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m = -5 + 29. Factor -4\/5*u**3 - 2\/5 + 0*u**2 + 2\/5*u**m + 4\/5*u.\nAnswer: 2*(u - 1)**3*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 22, 8\/3, -0.4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -5*b + 28. Determine i(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -104*q + 114*q + 408 = 27*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let l = 1612.9 + -1608.9. What is the third smallest value in 0.3, -5, 0.1, l, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 205 - 275 = 0. Suppose -h = -9*j + 7*j. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43119716?\nAnswer: 2, 107, 100747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 39 + (4 - (2 + 4 + 1) - 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -204403 - -204316.927. Let t = -0.073 - h. Which is the nearest to -0.1? (a) t (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 5*t**2 + 62*t - 67*t - 6*t**2 - 4. Let q be l(-6). Let g(f) = f**3 + 8*f**2 - 20*f - 2. Let w be g(q). Put 3, 4, w, -5 in decreasing order.\nAnswer: 4, 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*x**3 + 6*x**2 - 3*x**2 + 0*x**3)*(7 + 22 - 7) to d*x**2 + z*x + q*x**3 + y and give d.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -2e (base 15) to base 14.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-22)\/6)\/(2\/6). Let i(w) be the third derivative of -w**5\/60 + 7*w**4\/12 + 5*w**3\/6 - 16*w**2. Let o be i(15). Do o and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -4*k + 22. Let q(m) be the first derivative of -4 + 7*m + 3\/2*m**k - 1\/3*m**3. What is q(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8090419*a**2 - 3462212*a wrt a?\nAnswer: -16180838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.08345449 * 0.3.\nAnswer: 0.025036347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 13149 + 2*m**2 + 73*m + 176*m + 15*m + 4275 - m**2.\nAnswer: (m + 132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -59 - -48 - 295*-3. Does i = 875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.083726*-0.4.\nAnswer: -0.0334904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/2571 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2203603, 17628583, 59496381, 141028405, 275446063, 475970763?\n\"Answer: 2203568*f**3 + f**2 + f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(539) - 1*(sqrt(539) - (sqrt(539) + 0 + sqrt(539)))) + -3)**2.\nAnswer: -84*sqrt(11) + 2165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 3\/4, -299113 in decreasing order.\nAnswer: 3\/4, -8, -299113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c + 5. Let p be a(-2). Suppose -28 = -p*m - 3*u + 2*u, 0 = m - 4*u - 18. What is the second derivative of -2*h**2 + 15 - 26 - m*h + 11 wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1400) - ((sqrt(1400) + sqrt(1400)*-1 - sqrt(1400)) + sqrt(1400)))\/(-5*sqrt(1152)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b + 25 = -5*f, 0 = -3*f - 2*b - 19 + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*5*(sqrt(833) + -3))**2.\nAnswer: -4200*sqrt(17) + 84200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 5*b = 12, 14*b - 13*b = 3. Put 5, g, 107 in increasing order.\nAnswer: g, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -2*i - 6. Let d(n) = 32*n + 10. Let j(m) = -6*b(m) - d(m). Determine j(-8).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13050095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 179047 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 + 343001?\nAnswer: 342553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(120)*1 + sqrt(120))\/sqrt(5))\/sqrt(12) + sqrt(24)\/(sqrt(72)\/(sqrt(6) - -2*sqrt(6))))*1)**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 4*p - 13*p = 17*p + 720 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/140*-10*(-12)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*n**4 + 0 - n + 0)*(5*n - 5*n - 2*n) + 8 - 8 - 5*n**5 + 1142*n**4 - 1142*n**4 - 26*n**5.\nAnswer: -25*n**5 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(80)\/sqrt(4)*-4 + 0 + 3 + -1)*-5.\nAnswer: -20 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be 22\/(-8) - 7\/28. Let k = -6 - n. Let r(m) = m**3 - 28*m**2 - 91*m - 57. Let s be r(31). Sort s, 0, k, -5 in decreasing order.\nAnswer: s, 0, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0045984 to 5 dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4, -47656, -1, 6.\nAnswer: -47656, -4, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -64*o**2 + 11*o + 57*o**2 - 10*o - 2 + 2*o**3 + 0 as s*o**2 + m*o + k*o**3 + d and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 2657, 5215, 7671, 10025, 12277?\n\"Answer: -51*g**2 + 2711*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 33a + 22789?\nAnswer: 23018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.4 in 654, -4\/5, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iqogiqabo. Give prob of picking 1 g and 1 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 208 and 3211.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -69443 - -69453 - ((-1 + 2 - -1) + 0 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68 = -0*r + 4*r. Suppose 4*y - r - 31 = 0. Let i be (-17 + -1 + 0)*(-22)\/33. What is the highest common factor of i and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 804173.9 minutes in nanoseconds?\nAnswer: 48250434000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1644 less than -73850?\nAnswer: -73850.1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**0)**(-2\/3)*(h**(-5)\/h*h)\/h**9 assuming h is positive.\nAnswer: h**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**3\/9 + 13234*t**2\/9 + 39688*t\/9 + 26456\/9.\nAnswer: 2*(t + 1)*(t + 2)*(t + 6614)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -519 - 5?\nAnswer: -51e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*f + 2*f - 3*f)*(1 + 0 - 8) + 3*f + f - 2*f)*(3*f - 5*f + 0*f).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -56\/519669 and -44\/161067.\nAnswer: 27542457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g - 2*o - 31 = 0, -4255*g + 5*o - 7 = -4256*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*866.\nAnswer: -2598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1232 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p be -9 + (-23)\/(276\/(-120)). Which is greater: -1\/2345 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2282, 8606, 19152, 33926, 52934, 76182, 103676, 135422?\nAnswer: 171426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify i\/i**(-2\/5)*i*i*i**18*i**16\/i**(-5\/2) assuming i is positive.\nAnswer: i**(399\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.544 + 120.956. Let y = -121 + i. What is the smallest value in y, 0.08, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 5 + 1)*(5 - 4567*z - 11418*z + 4491*z - 5).\nAnswer: 22988*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -119*q**3 - 62 wrt q.\nAnswer: -357*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*m - 2*m + 3*m)*(-3 - 2644*m + 2436*m + 6)*(4*m - 2*m + m) as t + f*m**2 + x*m + c*m**3 and give c.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/4)\/((16\/(160\/15))\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the second derivative of 29\/12*y**4 + 0*y**6 - 20*y + 0 + 5\/7*y**8 + 0*y**3 + 0*y**7 + 0*y**5 + 0*y**2. What is the third derivative of s(w) wrt w?\nAnswer: 4800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 + 12. What is the smallest common multiple of p and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8*1\/(-1) + ((-5282)\/114 - -37)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.576023 to three dps.\nAnswer: 0.576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -4*i - 86, 0*i - i + 1 = 0. Calculate the highest common factor of y and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*n**4 - 2*n**4 + 0*n**4 + (-4 + 4 - 2*n)*(-3*n**3 - 3*n + 3*n) + 2*n**4 + n**2 - n**4 + n**2.\nAnswer: 5*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -4 (b) -4\/3 (c) -0.3 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*t - 6 = -17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-9)\/15 - (-848)\/5 - 2. Suppose -s + 3 = f, 2*s - 12 = -5*f - 2*s. Suppose f = 5*l - x - 178. What is the greatest common factor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)\/(sqrt(81)*2) - (-2 + -1*sqrt(13)*2)**2) + 5.\nAnswer: -51 - 47*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -4) + (-2 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -90*c + 952 - 4959 = 4075 - 2052 for c.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3255 and 7980.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/14 and ((-183)\/21 - -1) + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(((sqrt(13) + sqrt(13) + 0)*1 - sqrt(156)\/sqrt(300)) + ((sqrt(1872)*-2)**2 + sqrt(1872))*-3 + 2).\nAnswer: -44924 - 342*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 54.4 times 0.04?\nAnswer: 2.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -58 - (-1 - (-48 - -51)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(175) + 4 - (4 + (sqrt(175) + -2)**2) - -6*(-3*(sqrt(175) + -1) - 3*(0 + sqrt(175)))**2.\nAnswer: -1050*sqrt(7) + 37675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t - 6. Let l be h(-6). Solve -3*d - 5*i = -l - 22, -3*d + 5*i + 2 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -100.3829 and 13.1.\nAnswer: -1315.01599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/15 + (12\/(-15) - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2927 + 13399.13921.\nAnswer: 10472.13921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + s - 5*q = 16, 4*s + 2*q = 20. Let j = -2 + s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 396610\/136*(-36)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 190 + 5730. What is the greatest common factor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i\/(((i**(2\/21)\/i)\/i)\/i)*i**7*i**7\/i*i*i\/i**(-6\/11))\/((i*i**(-1))**(-4\/5))**(1\/8) assuming i is positive.\nAnswer: i**(4724\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2003 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -513, 5206, 1, 5, -4 in descending order.\nAnswer: 5206, 5, 1, -4, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the third derivative of h**5\/30 + 21*h**2. Let l(i) = 4*i**2. Calculate l(y(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 361 + -da8d4?\nAnswer: -da573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 29933, 29239, 28545, 27851, 27157, 26463?\nAnswer: 25769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7.23 + -6.93. What is the second smallest value in g, 0.5, -4, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the first derivative of 2986*m**3\/3 - 15*m**2\/2 - 105*m - 10341. Find the second derivative of i(u) wrt u.\nAnswer: 5972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -29 divided by -31215\nAnswer: 29\/31215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-100)\/(-10)*(16\/4)\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/39 + -6 + 608\/104.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 159*q**3 + 2*q**2 + 2*q. Let f(a) = 319*a**3 + 4*a**2 + 5*a. What is 2*f(u) - 5*o(u)?\nAnswer: -157*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 16114241, 16114246, 16114251?\nAnswer: 16114256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1174 - -376. List the prime factors of i.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 78.94671 + 1.63629. Let d = z - 71.583108. Let u = 9 - d. Round u to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 112317337?\nAnswer: 11, 10210667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 7*j + 1311 = 2*h, -5*h = -15. List the prime factors of j.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 225*y + 274. Is g(27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(343) - sqrt(343))**2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2 + 11)\/(42\/140). Let q be (-134)\/(-4) + (-1)\/2. Let t = q + -18. Calculate the highest common divisor of f and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 9*h - 308. What is m(37)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2049, 2048, 2047, 2046, 2045, 2044?\n\"Answer: -i + 2050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -7 - (-38 + 13) - -6\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 217, 158, 2 in increasing order.\nAnswer: 2, 158, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (52190\/(-1228))\/(20\/(-8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 374515, 375459, 376403, 377347?\nAnswer: 378291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-84)\/6 + -1 + 3\/6*10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.14, -4, 3.7, 3, 1\/5, -2\/17, 2\/89?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -14*l - 1. Suppose -15 + 12 = 3*b. What is the remainder when 38 is divided by n(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 19 + 370. What are the prime factors of i?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 4 + 8 = 0. Let w be 4\/((-4)\/(-3)) - -5. What is the greatest common factor of v and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5377633787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 144388421?\nAnswer: 31, 4657691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4.22 in -5, 6, 1\/204?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 398 - (-2 - (-1 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/945*-3*(-7)\/2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 838344 by 12.\nAnswer: 69862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 3, s: 1, r: 2, v: 1}. Give prob of picking 1 r and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 167057094*p**2 - 94585074 with respect to p.\nAnswer: 334114188*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-8))\/(12\/2*134\/2680).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3.1084 - -186.8184. What is l rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.12721771 + 1.4.\nAnswer: 1.52721771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2 + 11815818*f - 11815817.\nAnswer: -(f - 11815817)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 14447228089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:35 AM and 1:02 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 115849, 115842, 115835?\n\"Answer: -7*u + 115856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 2*f - 2*m - 4, 5*f + 5 = -4*m. Let l(k) = 1305*k**2 - 12*k - 11. Is l(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -9*l. Let z(w) = -333*w**2 - 329*w**2 - 333*w**2 + 988*w**2. Give f(z(p)).\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -3*z - 3*k, -8*z = -7*z + 3*k + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -10.4868 to 2 decimal places.\nAnswer: -10.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r. Let u = -73 - -75. Let s be 1*(0 - 0) + 0. Let k(b) = s*b**2 - 3*b**2 + 6*b**u. Calculate f(k(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -106487697 minus -546?\nAnswer: -106487151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -289\/183?\nAnswer: -289\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -6*g**3 + 4*g + 4. Let s(k) = 5*k**3 - 3*k - 3. Suppose 5*d = 3 - 18. Give d*v(y) - 4*s(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 2714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36342.\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 + 2*a**2)*(-2*a + 2*a + 2*a) + a**3 + 1 - 4*a - a + 6*a as i*a**3 + v + b*a + j*a**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -351*t + 16 = -343*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 9, 1\/8, 95, 1, 718, -1\/2?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from lzzdnrn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, -1\/4, 4, 359, -1\/5, 12.\nAnswer: -1\/4, -2\/9, -1\/5, 4, 12, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 12) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -23 + 81. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/(j*(j*j\/(((j*j**3)\/j)\/j))\/j)*j)*j**(2\/7))**(2\/35)\/(((j**(-1)\/j)\/j)**(2\/83)*(j*j**(1\/4)*j)**(-34)) assuming j is positive.\nAnswer: j**(622507\/8134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*o = 22*o + 5*y + 1, 0 = -6*o - 4*y - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w = -x + 11, 4*x = w + 52 - 71 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10991359 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 3*y + 20 = 0, -3*y = -4*t - 4*y + 1. Which is smaller: t or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2474 = -3*b - 2*y, 0 = -2*b - 3*b - y + 4121. What are the prime factors of b?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -5*1810\/(-50) - 2\/(-1).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -45, -0.3, -4 in decreasing order.\nAnswer: -0.3, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 4681.191 plus -5465.6691?\nAnswer: -784.4781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**3 - 28*q**2 - 154*q + 117. What is m(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 21160\/(-2760) - 1452\/(-288)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(539) + 2 + -5.\nAnswer: -7*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-40)\/16)\/(9\/(-36))*(-23)\/5?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 46.7611 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 - 16*w**2 + w + 12. What is z(16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 11 in -4, -0.549, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = m - 55, -5*m + 326 = 4*a - 6*a. Let c = m - 42. What is the greatest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7649935 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be -56*(3\/12 + (-31)\/28). Solve -19*j + 7*j - z = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = p - 309, -914 = p - 4*p - 2*y. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {j: 1, g: 1, b: 1, o: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 79.4222 + -0.0222. Let w = -1079.6 - z. Let a = w - -1158.999507. What is a rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 490*p**3 - 287*p**3 + 291*p**3 + 447*p**3 - 35*p**3 + 252*p**2 wrt p?\nAnswer: 5436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 18 = 3*p, 2*p + 3*h + 16 - 1 = 0. Let a be 1\/(8\/p + 3). Suppose 3*w + a - 96 = 0. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 74\/(1*((-72)\/(-1044) - (-32)\/(-116)*-7))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 72336 and 133164.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56651.\nAnswer: 7, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of p**5\/10 - 215*p**4\/12 - 2017*p**3\/6 - 1297*p. What is the second derivative of s(a) wrt a?\nAnswer: 12*a - 430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -3*q**2 - 13 + 4*q**2 + 29 + 12*q. Let t = -16 - -5. Let z be u(t). Calculate the highest common factor of 55 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 2*j**3 + 26*j**2 + 26*j + 39. Calculate k(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-36)\/48 + ((2035\/(-28))\/(-11) - 5).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-5 + (sqrt(80) + -2 - sqrt(80)))*6)**2 - (-5 + 1 + sqrt(80) + -3)**2)*-6.\nAnswer: -9810 - 336*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 4.1 + 0.0008\nAnswer: 4.1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(500)*-1*6 + (sqrt(500) + -1*sqrt(500)*2 - sqrt(500) - sqrt(500)) + -1)*-2)**2*-5.\nAnswer: -810020 - 3600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101323 is divided by 5958.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) -1677 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes before 9:10 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c + 3*c + 3. Suppose 0 = 6*n - 3*n - 3*j - 69, -n - c*j = -27. Calculate the greatest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -98\/521 - -732170\/3647. Let m = -201 + s. What is the third smallest value in -0.3, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -2*h - h + 3*j, -2*j = -5*h. Suppose -3 = -t + h. Calculate the highest common divisor of 55 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:18 PM and 9:10 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.04 + 4.96. Let z = 8 - w. Let s = -0.9 - -1. What is the second biggest value in 4, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 2\/41 (c) 103 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -13*i + 40. Determine b(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 3*p**2 + 2*p + 1. Let r be c(-1). Solve 3*i = 4*h - 32, r*h + 0*i - 26 = 4*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 16*h. Suppose -18 = -5*x - 5*a + a, 3*x + 3*a = 12. Let l(q) = -6*q. Let t(v) = -5*v. Let c(g) = -2*l(g) + 3*t(g). Calculate x*f(b) + 11*c(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 162127 less than or equal to 162127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b**2 + 12*b - 11. Let t be r(-13). Let o be (4 - t\/2) + -43. Let v = o - -68. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -2. Let c(l) = -12*l - 17. Is c(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 23 - -2021232432?\nAnswer: 2021233010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1516 - -1519. Let v(b) = 3*b - 11. Let y be v(5). Solve -y*a + 5 = -n*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 5, -649, -1 in ascending order.\nAnswer: -649, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(1\/4))**(5\/8)*(x**1)**(2\/151)*(((x\/(x\/(x**(-4\/3)\/x))*x)\/x)\/x**(1\/4))**(-7\/4) assuming x is positive.\nAnswer: x**(67991\/14496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 - -5. Let g = -54 - -58. What is the second smallest value in 1, g, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 392 + 406 + 398 - 1196 - 8*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.11884995627 rounded to three decimal places?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 87 + -29 + -122 + 14 + 1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*h - 815 = 4885. What is the remainder when h is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7882*f - 18081 = 7595*f for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*k**3\/4 - 175*k**2\/2 + 5365*k\/4 + 6845.\nAnswer: 5*(k - 37)**2*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -7, 0.02 in increasing order.\nAnswer: -7, -0.1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-18)\/84)\/(30\/35).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 3467 divided by -30\nAnswer: -3467\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4707 + -6843. Let o = g + 6917. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 3*g + 649368. Let p(r) = -24*r. Give l(p(f)).\nAnswer: -72*f + 649368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3776 + 951 + 946 + 951 + 11*l - 10*l + 928.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23110, 74018, 158860, 277630, 430322, 616930?\nAnswer: 837448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 278104 is divided by 139050.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1624351 (base 10) in base 3?\nAnswer: -10001112012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5552 (base 9) in base 15?\nAnswer: -1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -172*l**4 - 45751*l**3 + 954*l**2 + 183004*l - 1064 = 0 for l.\nAnswer: -266, -2, 1\/172, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -180.6 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.0566 - -3.0434. Let g = -3.10000208 + y. What is g rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/139, -114, 6\/7, -0.07?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6176 and 48?\nAnswer: 18528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the first derivative of 6*m - 1\/200*m**5 + 1\/60*m**3 - 1 + 0*m**2 + 1\/120*m**4 - 1\/300*m**6. Let p(f) be the first derivative of x(f). Factor p(k).\nAnswer: -k*(k - 1)*(k + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 4, k: 2, m: 4}. Give prob of sequence mmzk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 139907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the third derivative of 5*r**8\/112 + 43*r**7\/70 + 61*r**6\/20 + 31*r**5\/5 + r**4 - 16*r**3 + 1120*r**2. Solve w(t) = 0 for t.\nAnswer: -4, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0, -5, 2633, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/((12\/9)\/2) - -1. Let j(k) = -k**3 + 5*k**2 - 10*k + 32. Let f be j(t). Solve f*z = 10*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kok when three letters picked without replacement from {o: 3, g: 2, k: 13, z: 1}.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -8*r**2 + 355*r - 113. Calculate u(44).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -23*n*q**2*v + 2*n*q - n*v - 194*n - 2*q**2 wrt q?\nAnswer: -46*n*q*v + 2*n - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-39)\/6)\/(3\/(-30)). Let b be 13\/(p\/(-2)) - 12\/(-25). Let y be 0 - 0*1\/(-3). Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - -2.3. Let x = g + -0.1. Let u = 0.1 - 0.2. Sort u, x, 2.\nAnswer: u, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -20143 - 2401?\nAnswer: -23044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 1 = a - 1, -4*c + 14 = a. Suppose 0 = 3*b + 4*q - 31, -b - c*q - 9 = -6*b. Suppose b*r - 160 = 55. What are the prime factors of r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -331, -1325, -3755, -8335, -15779, -26801, -42115, -62435?\nAnswer: -88475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:58 AM and 11:27 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4754 a factor of 1291761634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -9*w + 13. Let i be ((-16)\/(-6))\/((-8)\/(-12)). Let n be (-9)\/(-3)*i\/6. Let y(q) = 2 - n*q - 2 + 3. What is 6*p(l) - 26*y(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**3 - 4*d**2 + 6*d - 1. Let f(p) = p**2 + 7*p - 12. Let w be f(-9). Let g = -10 + w. Let b be (-7 - -5)*(-10)\/g. Determine u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = m + 11, 0 = o - 2*m - m + 7. Calculate the greatest common divisor of 96 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010000 + -1011010001101110000?\nAnswer: -1011010001010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6, -12, -18, -24?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 3 - 6)*(0 + q + 0) + 20*q + 25*q - 10*q)*(-3*q + 5*q - 3*q)*(q - 9*q - 8*q).\nAnswer: 496*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 1356 = -4*t, -339 = 11*t - 12*t + 3*h. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 1195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-450)\/(-45))\/((-4)\/2). Let i = 1 - 3. Let s(k) = -k**3 - 6*k**2 + 7*k + 2. Let q be s(-7). Which is the closest to t? (a) -3\/5 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120 = 5*f - 4*t, -f + 43 = -3*t + 8. Suppose f*o - 858724 = -18*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*x + 7*x - x - 4*x + 4*x + 2*x + (4 + 0 - 6)*(-2 + 2 - x) - x + 0*x + 0*x - 4*x - 2*x + 5*x to the form g + f*x and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3761.6 - 3762. What is the closest to n in -2\/7, -5, -1\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/6*((-2)\/(-6))\/(27\/27).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.386 (b) 0.5 (c) -0.217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1660828577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 208354 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -40321 - -524467\/13. Is x at most 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.15, -6, -4, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 + 14 + 29*a - 5 - 13 to g + p*a and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -1 * -177885\nAnswer: 177885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20210 + -2110?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k - 45 = -8*k. Solve v = -0*i - i, -4*v = -k*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -489007 divided by -34.\nAnswer: 489007\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -30 - (-899 + 736 - (1 + -38))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*r**2 - r**4 + 5*r**2)*(-2*r + 3 - 3) + 3*r**4 - r**5 - 3*r**4 + 4*r + r**5 - 4*r + 128*r**5 + 162*r**5 - 72*r**5.\nAnswer: 220*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 115193 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the second derivative of -k**5\/20 + k**4\/2 - 2*k**3\/3 + 5*k**2\/2 + 213*k. Give n(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 178*r**2 - 95*r**3 - 3 - 422*r**2 + 244*r**2.\nAnswer: -95*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/2317 and (-1 + 3 + (-405)\/(-21))*1428\/(-1224).\nAnswer: 13902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1509 - 1507. Is s smaller than 95.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(4*(sqrt(176) - ((sqrt(176) + sqrt(176) + 0 - sqrt(176)) + 4) - (1*sqrt(176) + -4))*-3 + 3)**2.\nAnswer: 1152*sqrt(11) + 101412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -45797\/6 + 7650. Let p = 231\/130 - 14\/13. Calculate the common denominator of z and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6783994 milligrams to kilograms.\nAnswer: 0.0000006783994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 0*d - 1 - 4 - 7*d. Let j(s) = s + 1. Suppose 4*c = -4*v + 116, 0 = -3*c - 4*v + 32 + 64. Calculate c*j(a) + 4*p(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**2 - 5*t - 7. Calculate j(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes before 10:09 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1388 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (1077\/(-5385))\/(4*3\/(-230))*-2\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8052413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/477 and (-3)\/(-1) + 322\/(-108).\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-135)\/(-108))\/(57\/45 - (-8)\/20). Let k = -1 + 3. Solve -3\/2*l**k + 3\/4*l + 3\/2 - b*l**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 60, 56, 52, 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 66\/18089 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 268 + -269. Let o(z) = -4*z + 3*z - 1 + 0*z. Let y(i) = -2. What is q*o(t) - y(t)?\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -175*g - 519. What is the remainder when 25 is divided by s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -8468529 by 6.\nAnswer: -2822843\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*m**3 + 9*m**2 + 7*m**3 - 7*m**2 - 4*m**3 + 6*m**3 - 3*m**3 + (2*m**2 - 4*m**2 + 4*m**2)*(-3 - m + 3) - 3*m**3 + m**3 + 0*m**3.\nAnswer: -2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 807 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -18 - -17.6. What is the second smallest value in -5, y, 1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the second derivative of 445*a**3\/2 - 405*a**2 + 141*a - 4. What is the derivative of t(c) wrt c?\nAnswer: 1335","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z. Suppose 3*r = -0*r + 3. Let d be (-20)\/(-5) + -3 + 1. Let i(y) = -y**2 - 1. Let u(s) = 6*s**2 + 2. Let t(k) = d*i(k) + r*u(k). Give t(b(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 34173, 8\/5, -4, -0.4 in increasing order.\nAnswer: -4, -0.4, 8\/5, 34173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.5020161 to 3 decimal places.\nAnswer: -0.502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*x - 5*x = -70. Suppose 0 = -5*i + 2*v - 6*v + 2, -4*i - 2*v + 4 = 0. Solve i*m = x*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18767.8784 minus -15.246?\nAnswer: 18783.1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*i = -2*i + 100 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-11)\/33)\/(((-196)\/(-21))\/(-28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 15 = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, q: 4, u: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from daappwwbwdaawdwd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*w - 11*w = -76*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 5*u**4 - 15*u**3 + 10*u**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 80\/(-136)*1\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -3*w**2 + w + 1. Let h(q) = 7*q**2 - q - 2. Let p(k) = 2*h(k) + 5*n(k). Let b be p(3). Let g be (-26)\/(-5) - (-1)\/(-5). Sort b, g, 4.\nAnswer: b, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -869017 or -323?\nAnswer: -323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1025 - -1024.7. Which is the smallest value? (a) f (b) -1\/4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-231 + 233 - (0 - (-64)\/30))*69\/184.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times -1.051392?\nAnswer: 3.154176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8821 is divided by 1711?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 24\/(-108) - 20\/(-105)*(-1456)\/(-6). Solve -106 + c = 12*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -7*n + 70. Let v be m(9). What is the highest common divisor of v and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 4*i - 32, -a + 4*a + 4*i - 52 = 0. Suppose -2*b - 2*b = -92. Let y = 43 - b. What is the lowest common multiple of a and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-1\/2))**27)**28\/(j**0*j*(j**(2\/5)*j)\/j)**1 assuming j is positive.\nAnswer: j**(-1897\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**3 + 8*x**2 - 9*x - 6. Let w be 10\/10 - (-1)\/1. Suppose -6*z = -w*z - 168. Let y be ((-9)\/2)\/(21\/z). What is l(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:53 AM and 1:31 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 327780623*z**5 - 205125*z + 46 wrt z?\nAnswer: 6555612460*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/49 in 12, -1\/5, -5\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1443 and 3513224.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2007, 7960, 17865, 31722, 49531?\nAnswer: 71292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1.1, 1, 0, -3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5958 - -5914.09. Let b = -1.09 + h. Let d = 44.58 + b. Round d to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 4 = 0, -45 = 5*t - 3*w + 93. Let c be ((-12)\/(-5))\/((-9)\/t). Solve 3*l - c = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*d = 40*d - 72. Suppose -13*b - 2 = -d*b. Let r = 3561 + -46323\/13. Is r smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 509 a factor of 15499952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5.888 + 5.588. Which is the smallest value? (a) 26 (b) x (c) 1\/8 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 109603\/15 - 7307. Put 7, 7\/5, 35, 1, n in descending order.\nAnswer: 35, 7, 7\/5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the second derivative of 3*g**4\/4 - 3*g. Suppose 16 = 2*c - 3*w, 2*c = -383*w + 378*w - 32. What is v(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 494*b**2 + 3580*b. Let k(s) = -28*s. Determine k(h(f)).\nAnswer: -13832*f**2 - 100240*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2112 - 212110012?\nAnswer: -212112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 616 minutes after 10:46 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*q + 6 = 70 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -47209*f**2*i - 17329212*f**2 + f*i**2 - 2*f - 217*i**2 wrt i.\nAnswer: -47209*f**2 + 2*f*i - 434*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-56)\/80*-10*(-17 - -2 - -18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21216 divided by -102.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -226*w - 3151. Give d(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0301 rounded to 3 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35209.\nAnswer: 137, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1280 and 1536?\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = 45 + -47. Which is the closest to -19? (a) w (b) -2\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 15*z + 6. Let t be o(5). Suppose 4*l - 8 = 0, 2*m = -3*m + 2*l + 11. Suppose -2*u - 2*u + m*p = -t, 60 = 4*u + 4*p. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*d**2\/3 + 1654*d + 4940\/3 = 0. What is d?\nAnswer: -2470\/11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -19135 - -19139. Let t(g) be the first derivative of -21\/2*g**p + 17\/2*g**2 + 0*g**3 - 47 + 0*g. What is the second derivative of t(u) wrt u?\nAnswer: -252*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u*u*u**(-1\/6))\/((u**(-5)\/u)\/u))\/(u\/((u*u**(-1\/4)*u)\/u)*u*u**(-5\/2)\/u))**(-2\/61) assuming u is positive.\nAnswer: u**(-133\/366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*f**3 + f**3 + 4*f**3)*(-41*f + 59*f - 157*f)*(0 + 0 + 2*f)*(1 - 1 + 2).\nAnswer: -556*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 5 = f, 2*f + 1 + 1 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yyyp when four letters picked without replacement from yypyyyyyypyyy.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 19 = -4*g, -5*z + 10*z + 10 = 5*g. Let v(s) = s**3 + 5*s**2 + 2. Let o be v(-5). Put o, z, -5 in decreasing order.\nAnswer: o, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 177.5 - 177.13. What is the third smallest value in 0, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -18\/97 (b) -0.5 (c) -5\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.51 - 11.4137320216.\nAnswer: -10.9037320216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - l - 5 = 0, v + 5 = -0*v + 3*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f**2 + 64*f + 4*f**4 - 125*f + 61*f - 8*f**3 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 - 223 = -8*o. What is the lowest common multiple of o and 52?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00280718766 to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 147 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, -1, -10.7, -2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 q and 1 l when four letters picked without replacement from qlllqqlqllllqlllqll?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -299\/5 - -60. What is the second biggest value in g, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k - 1 + 0*k + k. Let z(d) = 5*d - 7. What is the remainder when z(4) is divided by o(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -12*w + 4. Let h(a) be the first derivative of 13*a**2\/2 - 4*a - 3. Let c = 3 - 10. Let v(o) = c*s(o) - 6*h(o). What is the derivative of v(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 15 = -3*j - j, -6 = -2*j. Solve f*z + 0*z = 5*g + 22, -5*g - 5*z + 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that 3*b**2 - 4889856*b - 14669595 = 0.\nAnswer: -3, 1629955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 700 minutes before 10:24 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 80701 + -108?\nAnswer: 80593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 7) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yvll when four letters picked without replacement from {v: 2, y: 1, u: 2, l: 2, n: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b - 15. Let o be k(-23). Let f be (1 - (-6 + o))\/(1 + -4). Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 n when three letters picked without replacement from hfnfffhfnhffffhn?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w. Let s be x(-5). Solve -s*i - 6 = -7*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -197*a**2 - a**3 + 99*a**2 + 98*a**2 - a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -6, 3, 0, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1869 - -5197. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -2*u - 2*u. Let d = -49 + 53. Sort d, u, -3.\nAnswer: u, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.45 + -0.45. Put -10, v, 0.1, -0.3 in increasing order.\nAnswer: -10, -0.3, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 6*b - 6 - b**2 + 5 - 3 + 9. Suppose -2*o + 8 + 2 = -3*y, 0 = 3*y. Give k(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 108877, 109058, 109253, 109468, 109709, 109982, 110293, 110648?\nAnswer: 111053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-23 - 385\/(-11))*1\/2. Let v(r) = 13*r**3 - 7*r. Let y(x) = 26*x**3 - 13*x. Calculate k*y(d) - 11*v(d).\nAnswer: 13*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -224 - 105. Let s = h - -736. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 64154 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -i**5 + 4601*i**4 + 64627*i**3 - 78425*i**2 - 138450*i = 0.\nAnswer: -15, -1, 0, 2, 4615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -2003 (base 5) in base 15?\nAnswer: -11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4760 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -155.5 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 99.96 and 0.1?\nAnswer: 99.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -771 - -770. What is the third biggest value in j, 3, -0.19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -5*q. Let v(s) = -105*s. Give v(h(j)).\nAnswer: 525*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 6 divided by -126?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be (4 - (-1 + 10)) + 10. Suppose 4*o + 2*r = 7*r + 999, u = r. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -192 - -57. Let f = -91 - k. Let g = f - 43.24. Round g to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -77*s**2 - 20*s**2 - 85*s**2 + 1.\nAnswer: -182*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c and 1 w when four letters picked without replacement from {q: 1, w: 2, h: 2, c: 4, j: 5}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -61*a + 66*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (15\/4)\/(2\/8). Suppose 4*y + x - 20 = 0, -y = 2*y - 2*x - p. Solve 24 = 4*d - y*f, f + 2 = d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.641988663 to 3 dps.\nAnswer: 0.642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.083 + -190739172.\nAnswer: -190739171.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2 (b) 19 (c) -4 (d) 2\/1657 (e) 5 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (37 - -7) + -6 + (3 - (-7 + 15 + -2)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3bd4 + -b?\nAnswer: -3c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10238\/43 - -102423\/430. Let s = -0.19 + 0.09. Let j = 1 + -1. Which is the closest to s? (a) j (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1 (b) -351 (c) 1\/5 (d) 2\/9 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -10*t. Let s be (10\/8)\/(1\/4). Let a be ((-5)\/s)\/(1\/3). Is c(a) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the third derivative of f**4\/12 + f**2. Let b(w) be the first derivative of -3 + 0*w + 1\/2*w**2. Give x(b(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 26, 33, 32, 17, -18, -79, -172?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 36*c**4 - 79*c**4 - 3 + 4 + (1 + 2*c**3 - 1)*(-1 + 1 - 2*c) + 6*c**4 - c**4 - 3*c**4 as p*c**4 + y*c**2 + b + w*c + s*c**3 and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-25 + -4)\/((-2)\/2). Suppose 0 = -5*y - 2*m + 116, q*m - 42 = -2*y + 26*m. What is the least common multiple of 12 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 149280307 to the nearest integer?\nAnswer: 12218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 55840 or 79?\nAnswer: 55840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i\/i**(-1\/4))\/i)**13*(i\/(i*i*i*i**(2\/17)))\/((i\/i**(2\/15))\/i))**(-3\/4) assuming i is positive.\nAnswer: i**(-14551\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.4 and 534.5.\nAnswer: 534.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-1)\/((-11)\/28622) + -2 + -1 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*d - 244 = -60 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2104081165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-9) - 8\/(-6))\/(-406 + 405)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, e: 2, t: 2, o: 2, l: 1, n: 1}. Give prob of picking 1 t and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 261908.82 months to millennia.\nAnswer: 21.825735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1, -6421, 2, -2, 0.\nAnswer: -6421, -2, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -2692*z + 21533. Calculate r(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(1\/(-18)*-3). Let b be (2 + (-4)\/y)*3. Suppose -5*g + 10 = -b*g. Solve -2*f = 5*p + 13, f - 2 = -3*p - g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -79638 by 79638.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r - 5. Let l be n(-2). Let c(b) = -2*b**2 - 7*b - 3. Let m(i) = -4*i**2 - 13*i - 5. What is l*c(d) + 4*m(d)?\nAnswer: -2*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*sqrt(432)*-2 - sqrt(432))\/(sqrt(72)\/(sqrt(6)*1)))\/((4*(sqrt(132) - sqrt(132)*-1))\/(sqrt(77)\/(1*sqrt(7)))))**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-14)*20)\/((-13450)\/7532).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, -5, -0.025, 34, 2\/1197, 0 in decreasing order.\nAnswer: 34, 1\/2, 2\/1197, 0, -0.025, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (36\/(-30))\/(((-1872)\/65)\/16)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.09 + -0.0897. Round d to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1760724 to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -34 - -48. Let y(j) = -j**3 - j**2 + 5*j + 3. Calculate the smallest common multiple of s and y(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 43, 227, 537, 967, 1511?\n\"Answer: -p**3 + 69*p**2 - 16*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 - (-63)\/(-16))*(362 - 310)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4329\/10 + -432. What is the common denominator of z and 60\/203?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 107185, 107395, 107639, 107917, 108229, 108575?\n\"Answer: 17*m**2 + 159*m + 107009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3212419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the second derivative of -p**7\/504 + 49*p**4\/12 + 2*p + 16. Let b(q) be the third derivative of d(q). Let v(r) = -7*r**2. Determine b(v(l)).\nAnswer: -245*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*a - 10*a + 16. Let t be 3*(a\/(-8))\/((-3)\/(-88)). Let s be (21\/(-9) + 3)*6. Calculate the highest common divisor of t and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -17\/3, 2\/11, 1, -9\/190, 0.3, 0, 0.5?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q - 0*q - 25. Let l = q - 11. What is the remainder when 41 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the second derivative of -1063*j**5\/5 + j**4\/6 + 2533*j**2\/2 - 3324*j. Find the third derivative of d(l) wrt l.\nAnswer: -25512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*v - 0. Let j = -59.5 + 163. Let k = 104 - j. What is the closest to v in 0.4, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes before 6:41 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 241939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 193 divide 9617190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -10085, -20266, -30447, -40628?\n\"Answer: -10181*x + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -204*d + 1745 = -40*d + 6173 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {v: 1, g: 4, f: 7, r: 4, b: 2}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 317 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (-5 - (3 + (-7 - -4) + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 3*p**2 + p - 2. Let n be u(1). Solve 32 = -5*t - g + 11, 2 = n*t + 3*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gollsg. What is prob of picking 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3.48 rounded to 1 decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 4817 (b) -2\/11 (c) 2 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9043 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 91 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2676 and 10914066?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9216772 milligrams in micrograms?\nAnswer: 921.6772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 71 + -50. What is the greatest common factor of 203 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**2 - 5*t + 4. Let z be l(-5). Let p = -5659 - -5652. Let m be ((-2)\/8)\/(p\/z). Is 3\/8 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(2\/29))\/i**(-2\/9))\/(i**(-2\/9))**25 assuming i is positive.\nAnswer: i**(1751\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 + (-31 - 16) + 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 712*x**3 - 41*x**2 - 6*x wrt x.\nAnswer: 4272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.6213 and -0.4.\nAnswer: 0.64852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*a**2*p + 1031*a**2 + 18*a*p**3 + 12*p**2 - 2*p + 11 wrt p.\nAnswer: 3*a**2 + 54*a*p**2 + 24*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -662 divided by 121\nAnswer: -662\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -720 or 1036?\nAnswer: -720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the second derivative of -f**4\/12 + 13*f. Let m(x) = 2*x**2 - 4*x. Calculate g(m(h)).\nAnswer: -4*h**4 + 16*h**3 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5390484247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 - 12*q**2 + 9*q + 33. Suppose -5*h = 2*v - 6*v - 71, 0 = -h + 3*v + 23. What is the lowest common multiple of w(h) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.47 - -2.4. Let g = -2.9 + 3. Which is greater: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.57 - 0.46. Let o be ((-8)\/6)\/((-236)\/177). Which is the smallest value? (a) q (b) -3\/2 (c) 0 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 37950, 75898, 113846?\n\"Answer: 37948*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**3 + 9*c**2 + 41*c - 36. Let x be w(18). Are -2215 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - m = 4*l - 56, -5*l + 2*m + 52 = 0. Suppose -o = -4*x + l, 2*o + 12 = 2*x + 3*x. List the prime factors of ((-72)\/(-32))\/(1\/x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 115487 and 12614.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1880580, -1880578, -1880576, -1880574, -1880572?\n\"Answer: 2*m - 1880582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3558539641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from jtjjtt.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -15 - -19. Let g(h) = -4*h**2 - h + u*h - 2 + 3*h**2 - 4*h. Give g(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 35 + -41 + -14 + (-2 - (1 + -11)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*p**2 - 2143535440*p + 287171511408499600.\nAnswer: 4*(p - 267941930)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -6*f. Let t(v) = -3*v**2 - 23*v - 377. Determine n(t(i)).\nAnswer: 18*i**2 + 138*i + 2262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -622 - -627. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -11*m - 7. Let y be l(-2). Suppose -9*c - c = 4*c. Solve 2*r + r + y = c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 55717, 111433, 167149?\n\"Answer: 55716*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a - 6*a - 4 = 0. Suppose 23497 = -s + a*s. Let o = s - 16097. What is o rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 2*j + h + 9 = 0, -3 = 3*j + 4*h. Solve -j = f - 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is i in i**3\/7 - 176*i**2\/7 + 1456*i - 194688\/7 = 0?\nAnswer: 52, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one halves of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 82530179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (-13 - -1 - (24 - 33)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -726 - 733 + 2191 + 38*c - 734.\nAnswer: 38*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d*d\/(d\/(d*d**(1\/4)\/d)))*d\/(d\/((d*d\/d**(-2\/9)*d)\/d)))**(-8\/17)\/(d\/(d*d**(2\/3)\/d)*d**7\/d)**(11\/2) assuming d is positive.\nAnswer: d**(-10943\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -23959026 by -18.\nAnswer: 1331057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9 + 87*r - 32*r - 33*r + 2*r**3 - 11 - 30*r + 48*r**2 to the form h*r**3 + g*r**2 + m*r + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/2 + 81\/18 - 2. What are the prime factors of (31 + 8)*(h + 1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1708*t**3 + 50*t.\nAnswer: 10248*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 8*f + 3. Let d(j) = -7*j - 3. Let m(g) = 4*d(g) + 3*o(g). Calculate m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -8. What is the derivative of -q + 0 + 3 + 3*p wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -38*u + 101 + u**2 - 101 - 7*u**3 wrt u.\nAnswer: -42*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4327 - 2505. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (l + 3*l - l)*(-9 + 6 + 2)*(0 - 2 + 0) to q + u*l and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 158 and 13772.\nAnswer: 1087988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 18, -2, -6, 163.\nAnswer: -6, -2, 4, 18, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 714 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/3 (b) -1\/2 (c) 4 (d) -1 (e) 3 (f) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -4902748 - 3461?\nAnswer: -4906209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 50 + 5. Let h = i - 0. Let k be 6\/h*(21\/6)\/7. What is the closest to 5 in -2, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 4*u + 9 = 0, -4*m + 2*u + 13 = -3*u. Let f be 0 - (-1)\/(m + 1). Which is the closest to -0.1? (a) -1 (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 25 - 17. Suppose -5*d + d - i = 0. Let t(p) = -p**2 - p + 1. Let m be t(-2). Sort m, 2, d.\nAnswer: d, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -1\/33, 60, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 570200 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 88 + (52 - (-59 - -99))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times 10.308?\nAnswer: -3.0924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, 238, 382 in descending order.\nAnswer: 382, 238, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.267 * 0.82.\nAnswer: -1.03894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 14437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 36, -13, 1, 42 in decreasing order.\nAnswer: 42, 36, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -1 - 30*t + 12*t + 4*t - 4*t + 4*t. Determine l(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2554.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3767*g*r - 37*g*y + 3*r*y + 11*y wrt y?\nAnswer: -37*g + 3*r + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 0 + (sqrt(119) - (sqrt(119) + -1*sqrt(119)*3))\/sqrt(7))*3.\nAnswer: -15 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 2*z**3 - 2*z**2 + 8*z. Let h(o) = -o**3 + o**2 - 5*o. Let p(q) = 5*h(q) + 3*i(q). Give p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 524 + -497. What is the greatest common factor of c and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14.9 - -15. Let k be ((-5 - -4)*-6)\/(-2). What is the nearest to t in k, 5\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -2 + 2 + 202\/(-12) and -64\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 minus 857?\nAnswer: -857.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 248, 472, 700, 932, 1168?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w**5 - 15964*w**4 + 16296392*w**3 - 730238336*w**2 - 844520832*w + 4479879168 = 0. What is w?\nAnswer: -3, 2, 48, 1972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 924367897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z + 7. Determine k(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do 0.0017 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.11998 and 0.8.\nAnswer: 0.095984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 288 and 360.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -5 + 2822.82375705\nAnswer: 2817.82375705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 120034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 17 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 58350377 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*-1*sqrt(2299) - ((sqrt(2299) - (-1*(sqrt(2299) + -2*sqrt(2299)) - sqrt(2299)))**2 + sqrt(2299)).\nAnswer: -2299 - 55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 0.025, -5, 23, -0.07 in decreasing order.\nAnswer: 23, 0.025, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 121805.8 micrograms to nanograms.\nAnswer: 121805800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 32121 (base 6) in base 13?\nAnswer: 1cb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {o: 3, d: 7, j: 1, i: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (36\/4)\/(((-126)\/56)\/((-18)\/(-156))).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-117)\/(-3)*((-63)\/(-1575))\/(14\/350).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * 4599.\nAnswer: -2299.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 77\/13527984 and 29\/6763992.\nAnswer: 13527984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-5\/2)\/d**(2\/11)*(d*d**(-15))\/(d**(2\/15)*d))**(2\/27) assuming d is positive.\nAnswer: d**(-5879\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 645\/4 (b) -27 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 36880*i + 10407. Is o(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1792*o - 8959*o + 1804*o + 1776*o + 1802*o + 1799*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 - ((3 - 9) + 8 + 37)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 42\/5 of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -4 - 4*d + 4. Let h be -5 + 7 + (-3 - 0). Let x be w(h). What is the greatest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gw when two letters picked without replacement from wfwgggwwpwuw?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 5*j - 2*j. Let k = j - 14. Let d = k + 15. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/15 or 1\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the first derivative of 3*v**3\/4 + 28*v**2 - 65*v + 2158. Factor k(r).\nAnswer: (r + 26)*(9*r - 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -39 - ((-39151)\/1003 - 0).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7*114\/133*190\/(-171)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -3*c**3 - 2*c**2 - 2. Let j be k(-2). Let v(t) = -t**3 + 14*t**2 - t + 13. Let r be v(j). Let w be -1 - -2 - (1 + 3\/r). Solve 5 = f + w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -1. Let i(n) = 3*n + 18. Let k = 889 + -799. Calculate k*z(s) + 5*i(s).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 2, 4, 4\/3, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2\/2593 + -72582\/28523. Calculate the common denominator of -73\/9 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 4053 (base 11) to base 3\nAnswer: 21101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f**4 - 182976*f**3 - 1097966*f**2 + 3476724*f + 4391712 = 0 for f.\nAnswer: -8, -1, 3, 91494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 194591*o**5 - 90334*o wrt o.\nAnswer: 3891820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 126, 173, -4, 1 in descending order.\nAnswer: 173, 126, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/((-13)\/351*-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 2*g + 13 = 0, 10*f - g - 29 = 22. Solve f*w - 10 = 0, 0 + 1 = -3*t - w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -595722.7 - 0.481.\nAnswer: -595723.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1635906.6 - 107888343.4. Let v = -109525457.99399 - s. Let c = v - -1208. Round c to four dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -2166*b**3 - b**2 + b. Let x(a) = 4333*a**3 + 2*a**2 - 2*a. Calculate -14*v(n) - 6*x(n).\nAnswer: 4326*n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -11.5129276 rounded to four dps?\nAnswer: -11.5129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 + 9*c**2 + 2. Let f be d(9). Find the first derivative of -3*j**4 - 2 - 7 + 2 - f*j**4 wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqx. Give prob of picking 2 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-5))\/(-6*(-12)\/90)*(-62790)\/897?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -15181936.4?\nAnswer: 60727745.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -15.4 - 9.6. Let j = 21 + r. Sort 13, 0, j in decreasing order.\nAnswer: 13, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 + -0.1. Let j be 12\/(-16)*-4*1 - 2. Which is the nearest to r? (a) j (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -15*c**2 + 3*c + 24 + 20*c**2 - c**3 - 15*c**2. Determine r(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -35.68 and -0.4.\nAnswer: 14.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100 = -227*i + 232*i. Suppose -4*p - 36 = -i. Is (-2362)\/((p\/(-1))\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -14*a. Suppose 0*i = -5*i + 15*i. Let v(h) be the third derivative of 0*h + 13*h**2 + 0*h**3 + i - 1\/12*h**4. What is g(v(u))?\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.086 - 0.08601. Round l to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 15) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 5*d**2 + 188*d + 159. Is 21 a factor of u(52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of x**5\/4 - 35*x**4\/4 + 100*x**3 - 520*x**2 - 620*x - 2. Factor g(j).\nAnswer: 5*(j - 13)*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*h - 4 + 4 = 103*h. Suppose 1\/2*k**4 - 2*k**3 + h*k - 5\/2*k**2 + 0 = 0. Calculate k.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -6, 1\/4, -2, 3, -0.05, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 3 = 3*x, 0 = 2*r + 5*x - 18 - 5. Suppose -r*l - l = -850. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/53590 and 99\/16?\nAnswer: 428720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 37699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 685 = 858. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 29*h - 441. Calculate b(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**2. Let t(z) = -z + 3. Let j(i) = 3*i - 5. Let o(b) = -3*j(b) - 5*t(b). Give o(g(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 791, 790, 789, 788?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 2*q = 139. Suppose -3*a = a - 140. What is the remainder when q is divided by a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/227 less than 116964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.05872 + -0.44128. What is the closest to -3 in z, -45, 1\/5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 + -2)\/((-6)\/(-4)). Is (n\/(-4))\/(1\/22) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ibts when four letters picked without replacement from {m: 2, q: 3, t: 1, b: 4, s: 3, i: 3}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -20 - -27. Let t(j) = -32*j + 12*j + g*j + 12*j. Let k(u) = u + u + u + 5*u. Give t(k(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.632 - -0.368. Which is the nearest to 2\/9? (a) 3\/7 (b) 1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.042 in -0.4, -0.2, 0.03, -1, -0.23?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + r = -163, -b = -3*r - 41 + 14. Let f = -45 + b. Let x = f - -6. Solve 3 + 3 = x*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**9*((f*f\/(f*f**(-2\/3))*f)\/f)\/f)**(2\/95) assuming f is positive.\nAnswer: f**(58\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the second derivative of 0 + 0*b**3 + 0*b**5 - 1\/15*b**6 + 8*b + 0*b**2 + 1\/4*b**4. Find the third derivative of z(d) wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -33 - 2*c - 33 + 82. Let b be j(9). Let p(s) = -20*s**2 - 9*s + 9. Let r(o) = -5*o**2 - 2*o + 2. What is b*p(l) + 9*r(l)?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 + (-12426)\/(-9))*(-4 + 1). What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**(-1))**(-35))**(2\/25) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 3*j = j - 14, j - 5 = 0. Solve n + 12 = h + 4*n, 0 = -x*h - 4*n + 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3954 and 63264?\nAnswer: 63264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 2*s = -4*d - 12, 2*s = 2*d. Suppose 3*n = -11 + 2. Let a be -3*-1*(n - -2). Is d at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -144*c + 73*c - 274*c + 125*c.\nAnswer: -220*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*i - 46*i + 23*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -5*w + 4838. Is 38 a factor of q(-104)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h**3 + 13*h**2 - 11*h + 5. Let r be z(10). What is the highest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 3*u + 8. Suppose 8*t - 9*t - 6 = 0. Let q(f) = -1. Let w be 10\/(-14) - 2\/7. Give t*q(v) + w*n(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -1347*a - 86. What is the units digit of m(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/3813 and 131\/120.\nAnswer: 152520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3311 + -3325.1. Which is greater: b or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1198241 is divided by 12480?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -2*v**3 - 98*v**2 + 170*v + 243. What is r(-50)?\nAnswer: -3257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j + 5*j - 3*j)*(1 - 6 - 2)*(19*j - 24*j - 79*j).\nAnswer: 1176*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + q + 5 = 13, 3*q = 2*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put together 61.4863 and 13.05.\nAnswer: 74.5363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.4 and -0.07139.\nAnswer: -0.47139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (6\/3)\/(1\/5). Let g be ((-4)\/36*-24)\/(((-10)\/(-2))\/15). Solve 6*n - g = a*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -139 or -0.02669?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4233979370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k, 9*a = 4*a + 4*k. Suppose a = -q + 403 - 138. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 110*b = 5*p + 105*b - 2 - 23, -5*b = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 62684 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t**2 + t - 1. Let c(f) be the third derivative of f**6\/60 - 2*f**5\/15 - 5*f**4\/24 + 5*f**3\/6 + 536*f**2. Give c(d) + 5*q(d).\nAnswer: 2*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -142848 by -18.\nAnswer: 7936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -10*t + 30. What is the tens digit of ((-1334)\/6 + t)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, 1, 0, -0.018 in ascending order.\nAnswer: -0.018, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1, -295, 3.\nAnswer: -295, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 - -2. Let f be 1704\/11 - 4\/(-4). Let t = 156 - f. Which is the second biggest value? (a) p (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**3 + 15*u**2 - 5*u - 4. Let b be j(-13). Suppose -34*w + 31*w + b = 0. Suppose -212 = -3*i + w. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 3*l - 2 + 0 - 9. Let d = 10 + -2. List the prime factors of s(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w - 3 = 1461*i - 1458*i, 5*i = -5*w + 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -181*w - 3. Let a(x) = -1. Let p(i) = -2*a(i) + o(i). Let v be p(-2). Let c = -68 + v. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 52195, 417754, 1409987, 3342232, 6527827, 11280110, 17912419?\nAnswer: 26738092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 517045 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: Is 1513 a factor of 7141189031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-69)\/((-72036)\/(-144)))\/(16\/(-696))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -480*m**3 + 1643*m**3 + 330*m**3.\nAnswer: 1493*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-759 - -685) + (50 - 35) + (2 - -1).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence du when two letters picked without replacement from dudud.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 - 58 = 8*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 2*t - 954 = 234, t = 5*i + 1189. Let c = i - -241. Solve -s + c + 1 = 0, 5*w + 16 = 4*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -26*q - 84. Let j be k(-3). Let v(x) = x**3 + 6*x**2 + 2*x + 7. Determine v(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 113 + 11 + 1 + -2. Let c(j) = -j**3 + 9*j**2 - 4*j - 4. Calculate the remainder when c(8) is divided by ((-12)\/15)\/(2 - l\/60).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times 14.3462\nAnswer: 2.86924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*q*y**3 + 2*q*y**2 + 43*q*y - 15687*q - 23*y**3 - 29*y**2 - y wrt y.\nAnswer: -24*q*y + 4*q - 138*y - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x + 4*a - 20, 0*a = -a + 4. Suppose m + x*c = 24, 5*c - 3*c - 18 = -2*m. Suppose 5*h + m*o = 3*h + 378, -2*h = -5*o - 423. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 1)*(66 - 22 - 389)*(2*v + 2*v**2 - 2*v).\nAnswer: 1380*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 22880117 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -s**6*t + 3020*s**3*t + 2*s**2*t - 870*s**2 + 4*s*t + s wrt s.\nAnswer: -120*s**3*t + 18120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*r + 20, 4*r - 200 = -3*b - 409 + 216 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 9) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -404*s - 63 = -411*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 39257431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3922 + 4811. Calculate the least common multiple of u and 3.\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -4163\/285 and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -h**4 + 10 + 24770*h**2 - 24770*h**2 - 2*h**4 - h**2 + h**2 + 0*h**4 - h**4 + 3*h**4 + (2 - 2 + h**2)*(5*h**2 - 3*h**2 + 0*h**2).\nAnswer: h**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hpkkh. Give prob of picking 1 h, 1 p, and 1 k.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -869*m - 474. Let u(g) = -2*g - 1. What is l(w) - 474*u(w)?\nAnswer: 79*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 439749 is divided by 876?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-5)\/(-15) + (-80)\/6. Let i = 8 + d. Let f(m) = -m**2 - 7*m + 2. What is f(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -467505 (base 10) to base 11.\nAnswer: -29a275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -3*z**2 + 27*z - 28. Let h(n) = n**2 + n + 2. What is the least common multiple of h(-2) and i(7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -72964, -146376, -219784, -293188, -366588?\nAnswer: -439984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -294256 - 2*k**3 + 147078 + 147178.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 123120403 (base 5) in base 16?\nAnswer: 920d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2 - 85348*z - 910535138.\nAnswer: -2*(z + 21337)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (51 - 2*q - 96 + 56)*(-5*q**3 + 0*q**3 + 4*q**3) + 2*q**4 + q**4 + q**4.\nAnswer: 6*q**4 - 11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16*z**2 + 5*z - 28*z**2 - 23*z**2 - 7*z**2 to j*z**2 + o*z + w and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 117605\/33 + -3566. What is the common denominator of c and 7 - -1 - 2704\/96?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 5*d + 6 = 0, -5*c + d - 4*d = -4. Solve 16 = -2*p - c*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 - 19\/3. Let l = 2 - 3. What is the nearest to t in -2\/7, l, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35309*-941.\nAnswer: 33225769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - m - 241 = -170, 2*h - 2*m - 22 = 0. Calculate the remainder when 711 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 20288*z - 20282*z - 30108. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gae when three letters picked without replacement from {i: 5, a: 2, g: 6, q: 1, e: 5, d: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-32)*2)\/((-48)\/(-128)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -91*v - 9. Let c(b) = 45*b + 4. Give 13*c(k) + 6*u(k).\nAnswer: 39*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-1\/2)\/g)**(-2\/33)\/((g\/(g*g\/(g\/(g\/((g*g**11)\/g)*g*g))))\/g*g\/g**(-3\/8)) assuming g is positive.\nAnswer: g**(-729\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -10480 divided by 2096\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 3*f + f - f + (1 - 4 + 5)*(2 - 2 + f) + (-21 + 14 + 20)*(-2*f + 0*f + 0*f + (-1 + 2*f + 1)*(0 + 4 - 6) + 2*f + 3*f - 3*f) as p + d*f and give d.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -5946*4079\nAnswer: -24253734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24.6*294.34.\nAnswer: 7240.764","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Determine i so that 2*i**2\/7 - 214*i + 4476\/7 = 0.\nAnswer: 3, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2 (b) -1 (c) 5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*v = -25*v + 12 - 30 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 2*b - 36 = 0, a - 22 = -3*b - 2*b. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (96\/(-40))\/(-3*2\/(-20))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = c + 10, 3*x + 2*c = 2*x. Let t be -2*(-2 + 26\/x). Let v = t + 18. What is the remainder when 26 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(272)*1*5)*-3 + 3.\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes before 11:46 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 57 divided by -29?\nAnswer: -57\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 3, 22, -2 in increasing order.\nAnswer: -2, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 6*w + 6*w + 5*w as r + p*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2*3\/3 + 87. Calculate the greatest common factor of 17 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*o - 5*o - 7*o - o + o - o - 2 + 2 - 2*o + 2*o + 0*o - 3*o + (3 - 3 + 2)*(-2*o - 1 + 1) - 4*o + o + 4*o + 1 - 1 + o + 4*o - 3*o - 7*o.\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.003119006 rounded to four dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 3*l = -51, -3*v - l - l - 50 = 0. Suppose w - 4*w - 5*o = 3, 0 = -5*w - 3*o - 5. Let b = w - v. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 1 + 5)*(0*u + 4*u - 5*u) + 4*u - u - 5*u + 11*u + 14 - 14 + (3*u + u - 2*u)*(4 - 5 + 6) as a + m*u and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -116*n + 79*n = -444 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 68.02481 decades in centuries?\nAnswer: 6.802481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 114959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -4*u - 1. What are the prime factors of (u + 0)\/(-1 + 0) - -292?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -44 in 4, 37, -413?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 3004105, 3004107, 3004109, 3004111, 3004113, 3004115?\n\"Answer: 2*k + 3004103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*x**3 - 3 + 3 - 231*x**3 - 51 + 51 + (0*x**2 + 2*x**3 + 0*x**2)*(-1 - 3 + 2).\nAnswer: -238*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 36\/(-9) - -1*3. Let l = d - -25. Suppose 3*v - 5*i - 19 = 0, -9*v - 3*i + 35 = -5*v. What is the highest common factor of l and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -88, -109, -144, -199, -280, -393, -544?\n\"Answer: -p**3 - p**2 - 11*p - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -16 divided by 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 760000 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0\/(-225)*1\/(-4). Is g greater than -17\/996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -4592*v. Let u(i) = 328*i. Determine 3*n(k) + 41*u(k).\nAnswer: -328*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -8633746 >= -8633746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let p = -47\/2 - -27. Let a(c) be the second derivative of 0 - 1\/3*c**3 + 2*c + p*c**2. Give a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 - 23*m**2 + 22*m - 13. Determine g(-24).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -11713 + 4267?\nAnswer: -6435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -3*g**3 - 156*g**2 + 151*g - 392. Give d(-53).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + 2. Let b = -9.92 - -14. Let t = b + -0.08. What is the third biggest value in t, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the third derivative of 0 + 0*j**3 + 0*j**4 + 47\/60*j**5 - 44*j**2 + 0*j. Let w(s) = s. Calculate w(d(l)).\nAnswer: 47*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10701, -10713, -10725?\nAnswer: -10737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1640627, 1640674, 1640753, 1640864, 1641007, 1641182?\n\"Answer: 16*s**2 - s + 1640612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*(-25)\/10*36\/45.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -10320, -0.3, 0.1, 0 in decreasing order.\nAnswer: 0.1, 0, -0.3, -10320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4447 + -4442. Solve o + 16 = u + 4*c, -u - 11 = -4*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -80 - -51. Let n = u + 29.0000012. Round n to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 - 21351a2?\nAnswer: -21351a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 11*n. Suppose -14*q - 2 = -15*q. Let d(v) = 4*v**q - 12 + 7 + 5. Give o(d(x)).\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (0 + (sqrt(200)*2 - sqrt(200))**2 + -2 - (3 + 5*(sqrt(200) + sqrt(200) + -1 + sqrt(200) + sqrt(200)) + sqrt(200))**2) + -3.\nAnswer: -88012 + 840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 437*d - 9*d**3 + 439*d - 3*d**3 - 874*d - 35*d**2 to the form s + r*d**3 + b*d**2 + q*d and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 153*v**2 + 152*v**2 + 1 - 309*v**2 + v - 5*v**3 in the form n*v + d + b*v**2 + h*v**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - 8b7e?\nAnswer: -8b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 10294.8kg?\nAnswer: 10294800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1501489, -6005956, -13513401, -24023824?\n\"Answer: -1501489*z**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 - 8*x - 2. Let r be m(-3). Sort -2, -0.87, 3, r in decreasing order.\nAnswer: 3, -0.87, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 284676 and 8148?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 34 + -15 - 8 - (6 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -d + 8 - 6 = h, h - 2*d + 7 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4 + 823254?\nAnswer: 823258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -547, -1109, -1671, -2233?\nAnswer: -2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3364?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20696 + -20678. Let c(o) = -o**3 + o**2 + o. Calculate the smallest common multiple of m and c(-3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-14 - -1) + 9 + 0 + 7 + -14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 1 + 2 - 648*j + 0 in the form i + z*j and give z.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:17 AM and 5:12 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 322208827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 69 = 3*x - 4*d, -5*d - 124721 = 3*x - 124601 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes after 2:11 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-12)\/(-5)*(-40)\/(-16). Suppose o = -g - 2*r, -4*r - 10 - 6 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -44d71 (base 16) to base 10.\nAnswer: -281969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 7*l**3 - 3*l + 3. Let y(n) = 85*n**3 - 35*n + 35. Give -70*b(i) + 6*y(i).\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be 11\/(-1)*(-1)\/(-23). Let s = i + 169\/161. Which is the biggest value? (a) -3 (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.4 + 0.2. Let b be -3 - (-4 + 0) - 1. Let x be -2 + b - -2 - 2. What is the second smallest value in x, -3, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(1\/7)*(k\/(k\/k**(-3\/4)))\/k*k*k)\/(k*k\/(k*k**(-1\/4))*k*k*k\/k**4) assuming k is positive.\nAnswer: k**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(-5 + (2 + sqrt(19) - sqrt(19))) - ((0 + sqrt(931) - sqrt(931))**2 + 2)) + 0)*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0, -9, 0.5, -2\/59?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 181, -437, -1461, -2885, -4703, -6909?\nAnswer: -9497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20146 + 80581\/4. What is the nearest to -3 in 26, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 212400043 - -103?\nAnswer: 212400201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 24078799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the third derivative of k**4\/4 + 49*k**3\/6 - 36*k**2. List the prime factors of f(23).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -19*v - 13*v - 10*v + 50*v - 15*v. Let r(c) = 273*c**2. Give o(r(m)).\nAnswer: -1911*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 + 0 - 4)*(0*w**2 - w**2 + 0*w**2)*(1515 + 2602 - 1392) to l*w**2 + a*w + u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 - -2)*(-118)\/(-4). Let k = x + -19. Suppose -2*i + 200 = 4*p, 298*i - 4*p + 400 = 302*i. What is the highest common factor of i and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (42*d - 42*d + 16*d**3)*(2 - 1 + 2).\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -17 or -24946?\nAnswer: -24946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1194 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -7 - 44327?\nAnswer: -44334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**3 + 22*h**2 - 89*h + 197. Determine n(-26).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 327470951?\nAnswer: 327470951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 28*k - k**2 - 10 + 33*k - 108*k in the form r*k**2 + c*k + f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5 - -6. Let l = t + 3. Let a = l + -3.89. Round a to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1116016*c*d**2 + 44*c*d + 525853723*c wrt d?\nAnswer: 2232032*c*d + 44*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -228452562 divided by 3?\nAnswer: -76150854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -18 in 1\/5, -174020, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 364*s**3 - 326*s**3 - 2)*(4 - 4*s - 4) to the form u*s**4 + d*s**2 + x*s + c + b*s**3 and give u.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4095 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 894394 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1412 - 412444330?\nAnswer: -413001242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w - 6. Let s = 15 + -15. Suppose 3*j = -s*j - 24. Let f be g(j). Solve f*m = -2, -2*b - b = 3*m + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2*(-1 - 0) + 3. Let o be 9\/((-36)\/8) + q. Solve -d = 3*r - 2, d + o = 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*k + 10*k = 54. Suppose -25 = -5*u - k*o, 4*u + 2*o = -0*u + 18. Let f be 25\/5*2\/u. Solve -2*s + f*s = -2*v - 14, -s - 14 = 3*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19468 is divided by 1797?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0.036 times -19\nAnswer: -0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(112) + (sqrt(77)*-2)\/sqrt(11))**2*5.\nAnswer: -20*sqrt(7) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 413 + 2705. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -270832, -541696, -812546, -1083376, -1354180, -1624952, -1895686?\n\"Answer: x**3 + x**2 - 270874*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2598, -2577, -2536, -2475, -2394?\n\"Answer: 10*b**2 - 9*b - 2599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -7*i*j - 2125*i - 40398*j wrt i?\nAnswer: -7*j - 2125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1335915 centuries in decades?\nAnswer: 1.335915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 48186 + -25763. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 67, 84, 109, 142, 183?\n\"Answer: 4*p**2 + 5*p + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -5*z + 9*z + 9 - 6*z + (-4 + 2 + 3)*(3 - 2*z - 3) as y + c*z and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -557300.2 plus 47329.1?\nAnswer: -509971.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(300) - (-1*sqrt(300))**2 - (sqrt(27)*-1 - sqrt(27))**2.\nAnswer: -408 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 18 - ((-12 - -7) + 12 - -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1549795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence he when two letters picked without replacement from {p: 4, o: 4, f: 2, h: 1, k: 1, e: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((1*sqrt(1377)*-3)**2 - ((sqrt(187) - sqrt(187)*-1)\/sqrt(11) - sqrt(102)\/sqrt(96))).\nAnswer: -7*sqrt(17)\/4 + 12389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.5396 - -2.5396. Let s be 7\/(-70) - (-2)\/(-5). What is the second biggest value in x, s, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 39719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 52792, 52767, 52742, 52717, 52692?\n\"Answer: -25*k + 52817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - 8692.\nAnswer: -8692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -27\/5151467 and 43\/873130.\nAnswer: 51514670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 47 + -49. Let o be (10\/175)\/(2\/(-10) + 0). Let c = 7 - 8.9. Sort c, y, 1\/7, o in decreasing order.\nAnswer: 1\/7, o, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 260 - -1187. Suppose -a = -2*r + 205. Suppose -4*k + 1652 = v + 3*v, 4*k + r = 2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 33 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 222075289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d + 5. Let g be c(-5). Suppose -3*p + 57 = u, p = -p + u + 33. Let w be 1\/(p\/4) - g. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 14890\/18 + (-8)\/12. Let d = -825 + i. Find the common denominator of 51\/4 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - 2*i = 6, 20*b + 36 = 12*b + 4*i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 3*i - 10. List the prime factors of j(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (1*sqrt(112))**2 - (sqrt(9072) - (sqrt(9072) - (sqrt(9072) + 2))**2).\nAnswer: -36*sqrt(7) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the third derivative of -m**4\/4 + 269*m**2. Let l(s) = 43*s**2 - 5*s**2 - 2*s**2. Determine l(o(a)).\nAnswer: 1296*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 749 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 77dd10 - 0?\nAnswer: 77dd10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from ggsikbkggi?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 31 and 1519.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 113573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -99, -70, -51, -54, -91, -174, -315?\n\"Answer: -2*a**3 + 7*a**2 + 22*a - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 12 times 0.0223038?\nAnswer: 0.2676456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1 + (-3 + 76\/16)*32. Calculate the highest common factor of 44 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 24292257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -127\/105 - -16\/15. Let q = 140.8 - 141. Which is the third biggest value? (a) q (b) -0.6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -58293069387 take away -0.1?\nAnswer: -58293069386.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from yoxxoyyo?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 1 = 3*i + 2*i, t - 5*i = 9. Solve -t*b + 32 = -0*q - 4*q, -4*q - 8 = 4*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 932*n**2 - 2 - 2 - 945*n**2. Let x(c) = -12*c**2 - 3. Give -3*p(y) + 4*x(y).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -23 - 21 + 449*y + 112 + 137. Is b(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of x**5 + 2746*x**3 + 272*x - 5 wrt x.\nAnswer: 20*x**3 + 16476*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*u - 22*u = 26. What is the remainder when u is divided by (-195)\/(-27) + 2\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**3 - 4*m**2 + m + 1. Let a be t(2). Let u be (-2)\/a + (-13)\/(-5). Suppose -p - 8 = -5*d - u*p, -4*p - 4 = 0. Put 1, 3, d in decreasing order.\nAnswer: 3, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t**3\/2 - 7*t**2 + 5*t\/2 + 154 = 0.\nAnswer: -4, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes before 7:08 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-34)\/(-4) - 1)\/((-23)\/(-46)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**2 - 10*x + 20. Let f be n(6). Let b(h) = 64*h + 258. Let q be b(f). Find z, given that 1\/4*z**4 + 0 + 2*z**3 + 4*z + 5*z**q = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -3308091 and -3308089 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 6*t**3 + 1372*t**2\/3 - 752456*t\/3 - 55760 = 0.\nAnswer: -246, -2\/9, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1695027 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1703, -6799, -15293, -27185, -42475, -61163, -83249?\n\"Answer: -1699*b**2 + b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -56 - ((10 - 3 - 9) + -8 + 8 + -4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1057 - 1048. Sort -9, h, -5, 2.\nAnswer: -9, -5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of 11*x**6\/15 - 5*x**4\/12 + 7*x**3\/6 + 5*x**2\/2 + 15*x + 7. What is the second derivative of b(p) wrt p?\nAnswer: 264*p**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2333179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.08? (a) -1\/7 (b) -0.3 (c) -0.13 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 994324 - 307647. Suppose 2113323 = 4*i - h. What is i rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the second derivative of -l**3\/2 - l**2\/2 + 38*l - 1. Let p(g) = -g. Determine -n(j) + 2*p(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*n - 20*n - 8*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7144 or -32051?\nAnswer: -32051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -119 - -121. Let w = -5 - 0. Which is the closest to 0? (a) t (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-1428)\/(-7))\/4)\/((-113)\/113).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nyvynypppgyzpg. Give prob of sequence np.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-28))**(-1)\/(z\/(z\/((z**(-2\/13)*z)\/z))*z)**40 assuming z is positive.\nAnswer: z**(-76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes before 1:16 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7\/2 in 2, -3, -2\/3, -1\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -382, -3019, -10192, -24175, -47242, -81667?\n\"Answer: -379*g**3 + 6*g**2 - 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of -i**6\/60 + i**5\/6 + 5*i**4\/12 + 13*i**3\/6 - 2647*i**2. Determine q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 2, -3, -1, 9.\nAnswer: -6, -3, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000479065 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 555 = 5*r, 7*r - 771 = -3*x + 2*x. Calculate the highest common factor of r and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -0*l - c + 732, 366 = 2*l - 2*c. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 214 (b) -61 (c) -417 (d) 2\/5 (e) -6 (f) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 3*k = -138. Calculate the remainder when k is divided by 37 - (100\/60 - (-6)\/18).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11704436000 rounded to the nearest one million?\nAnswer: 11704000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -67*h - 64*h - 24*h + 158*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -92.2 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 387\/7 in 0, -5, -2\/51, -343?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:00 PM and 3:25 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 4 + 18 = 0. Suppose -4*y = -4*s + 80, 2*y + 25 = l*y. What is the remainder when 99 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 - 8)*1\/(-3). Suppose -i*t + 2*t - 2 = 0. Is (-106)\/t - (-4)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3\/2 + (-27)\/(-6). Let f(h) = h**2 - 5*h + 8. Does 14 divide f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 6*x - 265 = 17*x, -88 = -t + 4*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*p + 176 = -18*p - 19*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y + 2*y - 3*y)*(-3 + 3*y + 3) + (-6*y**2 + 3*y**2 + 2*y**2)*(-1 - 2 + 2) + 5*y**2 - 2*y**2 - 2*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*p - 1 + 1 - 4*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -280 = 11*g + 29*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 49 + 4 + 15*w - 9*w**2 + 21*w - 44*w + 16*w wrt w?\nAnswer: -18*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fourty-nine fifths of a century?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 5977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(2\/29))**(-39) assuming q is positive.\nAnswer: q**(-1209\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*o + 226 = 26. Let a(r) = r**2 + 6*r - 19. Let y be a(-9). Suppose 21*b - o*b + y = 0. Solve -28 = -5*g - 4*n, 4 = b*g + n - 3*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(a*a*a\/a**0*a))\/a)**(-33)*a**4*a**6)\/(a**(2\/15)*(a*((a**(-2)*a*a)\/a)\/a)\/a)**29 assuming a is positive.\nAnswer: a**(2942\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -118367*b**2*w**2 + b**2*w - 2*b - 2*w**2 - 10145*w - 2 wrt b?\nAnswer: -236734*b*w**2 + 2*b*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 86*b**3 + 59*b**3 + 74*b**3 - 205*b**3.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:26 AM and 8:45 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*m**3 - 2*m**3 - 6*m**3 - 6*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*d - 1921 = -2905 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 4*l, 4*y + 4*l + 28 = -0*y. Let c be (16\/y)\/(4\/(-8)). Factor -7*h**3 + 5*h - c - 25*h - 21*h**2 + 3*h**2 + 0*h**4 - h**4.\nAnswer: -(h + 1)*(h + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 15 = 5*f, -5*w + 6 = -2*w + 2*f. Suppose 14*r - 4267 - 10559 = w. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 41*m**2 - 40*m**2 + 26*m + 45 - 4*m. Let d be y(-20). Solve 0 = 4*o + d*g - 1, -3*o = -5*o - g + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from tsoeo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the second derivative of -m**3 - m**2 - m. Let o be h(1). Let q = o + 9. Solve 4*l = v + q, -2*l - 29 = 2*l + 5*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*q**3 + 3\/4*q**2 + 0 - 1\/4*q**4 + 1\/2*q.\nAnswer: -q*(q - 2)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 66 = -13*c + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1965 divided by 736792\nAnswer: 1965\/736792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a**3 - 35*a**2 - 35*a - 14. Let r be j(36). Let o = r + -18. Calculate the remainder when 29 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 653492982, 653492980, 653492978, 653492976, 653492974?\n\"Answer: -2*d + 653492984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -6*l - 35. Calculate c(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Subtract 9 from 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 1074*h + 10. Let z(r) = 1432*r + 13. Determine 9*x(y) - 7*z(y).\nAnswer: -358*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = -4*l + 5*s, 0 = 5*l + 3*s - 7 + 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-1508)\/195)\/29)\/(2\/1).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z - 2*p = -p - 14, 0 = 2*z - 3*p - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-43)\/l)**(2\/5) assuming l is positive.\nAnswer: l**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**2 - t + 3. Let w be a(-2). Let m(o) = 32*o - 1. What are the prime factors of m(w)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4004 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-5*-1*sqrt(60))\/(sqrt(36)\/(sqrt(9)\/sqrt(3))) + (sqrt(405) + 0 - -6*(sqrt(45) - (sqrt(180)\/sqrt(4) - sqrt(45))**2)) + 4.\nAnswer: 8 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the third derivative of 0*f + 0 - 2\/3*f**3 + 5\/24*f**4 + 3*f**2. What is the first derivative of w(m) wrt m?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6 and 15870477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-64 + 80 + 267)*(8*u**3 + 3*u**3 + 2*u**3)*(-2 - 3 + 0).\nAnswer: -18395*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5029973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -400, -289, -166, -25, 140, 335, 566?\n\"Answer: v**3 + 104*v - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 5 - 2)*(1116*x + 900*x - 223*x - 386*x).\nAnswer: 4221*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 348522543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -914*s**2 - 1869*s + 5588. Determine o(3).\nAnswer: -8245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = r - 5*h + 50 - 42, -6*r - 5*h = 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 - -8. Suppose 0 = -y*q + q + 4. Factor 2*w - q*w**2 + 6 - 2 + 0.\nAnswer: -2*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 694844.\nAnswer: 2, 271, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 170 minutes before 1:31 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be (10\/(-5) - -3) + 6. Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5107.\nAnswer: 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000125504 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 - -1010010?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -25 (base 8) to base 11\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3378611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 862222755 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 150.22, 0 in increasing order.\nAnswer: -3, 0, 150.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 4*n + 4. Let t be r(-11). Let i = t + 172. Let x be 24\/i - (-19)\/(-44). Which is the smallest value? (a) 0 (b) x (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 783 is divided by 133.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 4 = -8. Let b = 21 + y. Let k(d) = 10*d**2 - 78*d - 15. Let j be k(8). What is the highest common divisor of b and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 12) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j - 264 = -296. Let a be 10\/(-6) - -2 - (j + 4). What is the closest to 4 in a, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1455241445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 222400 = 9*n. What is n rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -4, 0, -5, 34, -46.\nAnswer: -46, -5, -4, 0, 8, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -i**3 + 8*i**2 - 8*i + 10. Let c be h(7). Suppose c*t + 4*s - s + 198009 = 0, -3*s = -3*t - 197991. Round t to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*y, 6 = -m + 11*y - 14*y for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-8)\/(1 + 1) - (-4)\/10. Let y = -244\/65 - d. Let g be (-32)\/(-6) - 4\/(-6). What is the nearest to 2 in -1, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 108*d - 359 = -239*d - 12*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (67 - -27) + -51 + -51.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1559727408?\nAnswer: 2, 3, 97, 334993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (36\/(-27))\/((-112)\/48)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*z**2 + 6 - 6 + (2 - 2 - z)*(-72*z - 39*z + 131*z) - 5*z**2 + 5*z**2 - 2*z**2 to q + i*z + a*z**2 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -12*t**2 + 2*t + 3. Let h(i) = i**2 + 17*i + 50. Let d be h(-4). Determine w(d).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -a719 + -10b?\nAnswer: -a824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.297 - 2.257. What is the smallest value in -100, 0, u?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**3 + 7*q**2 - 4*q + 4. Let i = 4 - -1. Does 10 divide x(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**3 + 6*k**2 - 3*k - 6. Let y be c(5). Let d = 12 + -10. Find the second derivative of -d*f**4 - 23*f**3 - y*f + 23*f**3 wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -14626135 (base 7) to base 5.\nAnswer: -324330131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 113400 - -216?\nAnswer: 113616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3241 or -1553?\nAnswer: -1553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -5007377 (base 9) to base 14\nAnswer: -4d44b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14285 + 275255 = 95*a + 29*a. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*a**3 + 5*a**3 - 2*a**3)*(-2*a + 5*a - a)*(7 - 7 + 4*a) - 5*a**5 + 3*a**5 - 3*a**5.\nAnswer: -13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 97*l - 8035 = 521*l + 111 + 16870 for l.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, -1, -2, -16, -78 in decreasing order.\nAnswer: 1, -1, -2, -5, -16, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxkxnkxxnnkkxnkninl. What is prob of sequence ixnx?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 99*p - 61. Calculate f(2).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/17? (a) 9 (b) -1 (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.072? (a) 590 (b) 2\/13 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -2*c + 3*s + 487, -295 = -3*c - s. Suppose 0 = -0*g + 2*g - c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the first derivative of 27075*q**3\/8 + 285*q**2\/8 + q\/8 - 3892. Solve u(g) = 0.\nAnswer: -1\/285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 5664016.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (1 + (-105)\/(-9))\/(4*10\/(-30))?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = -2*p - 1 - 3, -3*p - 3*g + 18 = 0. Suppose c = p*c. Let i be (-28)\/(-16) - (c - -2). Is i at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -86, -83, 0.2, 0.1 in descending order.\nAnswer: 0.2, 0.1, -83, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (4 - 30\/3)\/(908\/(-180) + (-56)\/(-1260))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(4\/2)*1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 divided by -92.\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11368566.\nAnswer: 2, 3, 11, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 + -5c4e5?\nAnswer: -5c4ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003295 to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 + 5*q**2 + 8*q + 4 + q**3 - 2 + q**4 - 7*q - 5 to the form l + s*q**3 + d*q + w*q**4 + i*q**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1825\/(-146)*(-12)\/(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 33, 15, -1, -15, -27, -37, -45?\n\"Answer: d**2 - 21*d + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(3\/5)\/c*c\/c**(-1\/2))**(-1\/19)\/(c**4*c**(-9)\/c)**(-27) assuming c is positive.\nAnswer: c**(-30791\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 310 a factor of 2785660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, d: 1, h: 1, q: 3, u: 5, v: 3}. Give prob of picking 1 l and 1 q.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:35 AM and 12:06 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 5*s + 1. Let h(u) = -4*u - 1. Let r be h(-1). Suppose -5*w = 5*q, 0 = -4*w - r*q - 2*q + 3. Let z(v) = -9*v - 1. Determine w*z(l) - 5*n(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15530095.\nAnswer: 5, 7, 17, 43, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9 - -11. Suppose -b = -2*q + a, -a + 0*a + 4 = 0. Is q\/(54\/4) + 2012\/18 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14 - 12. Sort q, 4, 9 in decreasing order.\nAnswer: 9, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(33\/4)*i*i)**39 assuming i is positive.\nAnswer: i**(1599\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 280533667.\nAnswer: 37, 137, 55343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5859 is divided by 2929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/((2\/(-6))\/(-1 + 0)). Suppose 206 = o*x - 2143. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 20425576*u**3 - 2*u**2 - 172825*u + 6?\nAnswer: 122553456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*c**2*t**3 + c**2*t**2 + 26*c**2*t - 48*c**2 + 3*c*t - 671*t**3 wrt c?\nAnswer: 4*t**3 + 2*t**2 + 52*t - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 370014 times -716\nAnswer: -264930024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 13813097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes after 3:13 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -308 divided by 13\nAnswer: -308\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -369*r + 8*y = -367*r - 40, -5*r + 10 = -5*y. Let k(u) = 5 - 3 - u**2 + 1 + 1. Let w(m) = -3*m**2 + 9. Determine r*w(s) + 9*k(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w**2 + 5*w**2 - 2*w**2)*(67*w - 67*w + 16*w**3) + 5*w**5 + 0*w**3 + 0*w**3.\nAnswer: 37*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 32490, 32591, 32692, 32793, 32894?\n\"Answer: 101*a + 32389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 l, and 1 m when three letters picked without replacement from {l: 4, a: 2, m: 3, n: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.9 + -1.4. Round d to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + 2634?\nAnswer: 2637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 40f + -42?\nAnswer: 3cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 671 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 2*n - 18 = 0, -u + 5*n = -0*u - 10. Suppose -u*v + 4 = -16. Suppose -30 = 3*z - 9*z. Is z <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 198262408.\nAnswer: 2, 389, 63709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -129 + 96 + (-5 - -34) + -22.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 34831 (base 10) in base 12?\nAnswer: 181a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -3472, -3473, -3476, -3481, -3488, -3497?\n\"Answer: -q**2 + 2*q - 3473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000189343 to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 14 - 12. Suppose 15 = a - 2*h, -2*a - 5*h - 13 = x. What is the remainder when a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*m + 2 = -26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 + -2. Let j = -4 + i. Calculate the remainder when 1 is divided by (j + 0)\/(1 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -192577, -192567, -192549, -192523?\n\"Answer: 4*t**2 - 2*t - 192579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*s - i - 9, -63*s = -67*s - 5*i - 45. Solve s*t - 117 = -39*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 4\/5, 13.34, 9\/154, 0.1 in increasing order.\nAnswer: 9\/154, 0.1, 0.3, 4\/5, 13.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 - 6\/(-5))\/((-6)\/(-6)). Let w be 6\/3*(-1)\/(-389). Let b = w - 788\/1945. What is the third smallest value in 2, b, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -230*z - 2388 = -628*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + y = 2, 5*p + 15 - 2 + 3 = -3*y + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -17643.204 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2864 a factor of 1289203946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -2139, -2153, -2167, -2181?\n\"Answer: -14*x - 2125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) 36 (c) 18\/4373\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - -22)\/3*(-100)\/(-700).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2344171 and -3?\nAnswer: 7032513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:39 PM and 1:35 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/((c*c\/(c\/c**(3\/2))*c)\/c))**12)**(-30)\/((c**(-1\/3))**(-4\/25)*c**(-7)\/c**(-8)) assuming c is positive.\nAnswer: c**(40421\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**3 + 6*c**2 - 6*c + 4. Suppose -n + 27 = -0*d - 5*d, 5*n = d - 9. Let h be t(d). What is the highest common factor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 divided by -10.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2009, 3459, 5875, 9257, 13605, 18919, 25199?\nAnswer: 32445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2.7 (b) -0.14 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 51324, 100736, 150148, 199560, 248972?\n\"Answer: 49412*s + 1912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -44310 (base 9) to base 12.\nAnswer: -15030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**3 - 13*a**2 + 28*a - 23. Let p be t(-15). Solve -p*j - 5 = -26 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -8*i**3 - 3*i**2 - 2*i - 1. Let v(s) = -s**2 + 9*s + 88. Let r be v(15). Let x be w(r). Calculate the highest common divisor of x and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(320) + (sqrt(5) - (-2*sqrt(320))**2).\nAnswer: -1280 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 47378, 95408, 143438, 191468?\n\"Answer: 48030*v - 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (-381)\/(-9) + (-10)\/(-6) and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12739507.\nAnswer: 11, 37, 113, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o + 3. Let x(m) = -m**3 + m. Let b be x(0). Let s be a(b). Let g(l) = -l**2 - 1 + s*l**2 - 5*l - 3 + 2. Calculate g(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 23635 and 5705?\nAnswer: 165445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and -0.275.\nAnswer: 0.1375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 743*r**2. Let k(f) = 2*f - 73. Give k(t(h)).\nAnswer: 1486*h**2 - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 785739448 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 145\/54 and 1241\/324 - (-3 - -4 - -3).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*z + z + 8*z + 1905 - 14*z.\nAnswer: z + 1905","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(0 + sqrt(432))**2 - (-2*sqrt(3)*-1*-2)**2.\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -b**4 - 2160*b**3 + 34771*b**2 - 98082*b - 352512 = 0.\nAnswer: -2176, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 14.622 times -0.14863?\nAnswer: -2.17326786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -24.4 - -6\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be 12 - (1 + -10 + -138). Let f = -0.081 + 1.081. Which is greater: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 25 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 2 = -3*f. Solve 0 = -5*o + 2*k, -5*o + o - f*k = 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 195724 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 679.4346 millilitres in litres?\nAnswer: 0.6794346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p + 4*u + 4228, 5*p + 27*u - 31*u = 5290. Are 1061 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -113 - -113. Solve 4 = 3*u - 3*f - 2, 2*f - 2 = b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - 203314210?\nAnswer: -203314203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6687, -27630, -62547, -111438, -174303, -251142, -341955?\nAnswer: -446742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 13603 and 406199?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -9582 + 9540 + -1 + 98\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-18)\/(-15)*55\/(-22)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in -4, 2, -9627.46, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 123.01nm in micrometers?\nAnswer: 0.12301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 81\/92 and ((-56700)\/(-552))\/25 + -2?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(66) - 1*sqrt(66)*6) + sqrt(66) + sqrt(66))\/(sqrt(600)*-1).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of 27 and 0.33.\nAnswer: 8.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.17, -3, 3, -0.14, -11\/21, -10?\nAnswer: -11\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 69 (b) 0 (c) 1\/7 (d) 30897 (e) -2 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*d + 4*o + 1, 5*o = 7*o + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*j = 27*j + 2067. Round j to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vxvvvvbvvvkvv. Give prob of sequence vbx.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 27\/30*((-143)\/195 + (-7)\/(-5)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/(-4)*(-7)\/(-42). Let u = -0.5 - -0.4. Let c = 0.3 + u. Is c >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (12\/8)\/((-3)\/(-662)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*k**4 + 12*k**5 + 80*k + 13*k**5 + 120*k**3 - 160*k**2 - 20*k**5 = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*-2*3*3*(-4 + ((4*2*sqrt(252) - sqrt(252))*-1)**2).\nAnswer: -666576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes before 9:39 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the first derivative of 2*b**5\/35 - 11*b**4\/14 - 26*b**3\/7 - 41*b**2\/7 - 4*b - 2006. Factor t(g).\nAnswer: 2*(g - 14)*(g + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 19, -2, -4 in decreasing order.\nAnswer: 19, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**3 + 2*y**2 - y. Let f be m(1). Let a = 1027.33 - 1027.63. What is the nearest to -0.02 in -0.1, a, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51642887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0*(-5)\/35 - 5. Let b be (-2)\/q - 200\/(-125). Put b, -14, 5 in decreasing order.\nAnswer: 5, b, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i - 1. Let s(v) = -6*v + 3. Let x(o) = 2*s(o) + 6*y(o). Let g(j) = j**2. Give x(g(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-1*sqrt(66)\/sqrt(6).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8895, 17804, 26713, 35622?\nAnswer: 44531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 35, 84, 145, 224, 327?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 58140 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(192) + sqrt(192)*2 + sqrt(192))**2*6 + -3.\nAnswer: 18429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13 - 8. Suppose 10 = h*f - 0*f. Suppose -3*t - f = -4*t. Solve -u = -5*s + 20, -t*s + s = -4*u - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 189977658 and 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -38\/6417 and 17\/210588?\nAnswer: 19584684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**3 - r - 9. Let o be h(0). Let y(v) = -v**3 - 8*v**2 + 7*v - 12. Give y(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the first derivative of -2*m**3 - m**3 + 9 + 2*m**3 + 3*m - 12. Determine o so that v(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 125*c**4 + 2162*c**3 + 2716290*c**2 wrt c?\nAnswer: 3000*c + 12972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-25)\/20 + (-81)\/(-4). Suppose -15*z + w*z = 9668. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*x + 19*x = 3*f + 16, -2*x = 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -10 and -0.0502?\nAnswer: 9.9498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.10029 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = -2*j - 21, -49 = 5*j + 4*w - 7. List the prime factors of ((-15)\/j)\/(3\/18).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5*g**3*t**5 + 122*g**3*t + 7*g*t**5 wrt t.\nAnswer: -100*g**3*t**3 + 140*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 2*l = -228420, -3*m - 2*l - 171315 = -6*m. Suppose -5*a + 4*a + i = -m, -a - 2*i = -57090. Round a to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 98 - -45. Let l = z - 141. What is the closest to -0.1 in -2, l, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 6 = a, -2*d + 2*a - 1 - 3 = 0. Suppose -4*p - d - 2 = 0, 5*m = 3*p + 8. Suppose -m = -2*s + 7. Put -4, -3, s in ascending order.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) + -5*(sqrt(17) + 1) + sqrt(544)\/sqrt(2) + 4)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 326657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 3*g**4 - 210126*g**3 + 2521080*g**2 = 0. What is g?\nAnswer: 0, 12, 70030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-1*sqrt(70) - -5*-2*sqrt(70))\/((sqrt(10) - (2*sqrt(80))\/sqrt(8))*4).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 220 + 4?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1e9 + -5?\nAnswer: 1e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3039 is divided by 1301.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = o + 3. Suppose 3*c = 5*u - 26, 4*u + 3*c = o*c + 22. Solve 5*g + u - 2 = -5*h, -4*h = g - 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 3*d. Let o be ((-196)\/(-210))\/(-1*1\/3). Let l = o - -88\/35. Are d and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -2116744 times -0.9\nAnswer: 1905069.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -x + 11, -3*c - 2*c - 2*x + 17 = 0. Let t = 10 + -8. Solve -4*g - 12 = -m, -3*m - c = t*g - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 20 + 28 - 20 - 81*q + 77*q as s + f*q and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6\/49 or 1?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 884.9 + -963. Let y = -78 - q. Let r = -37 + 36. Which is the third biggest value? (a) -2\/15 (b) 3 (c) y (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 34 and 540.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(1\/10*6). Suppose -a*t + 4049 = -3*k, 17 - 21 = -2*k. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g - 4 - 14. Suppose -3*v = g - 3. What is the remainder when (4\/(12\/(-69)))\/v is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4461097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*g + 25474 - 25435 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify s\/(s*s**(-11))*s*s*s**(-7\/2)\/s assuming s is positive.\nAnswer: s**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 4*y + 260, -4*d = -2*d. Let g = y + 92. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, h: 5, y: 7}. What is prob of sequence sy?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 74971 plus -2.54574572?\nAnswer: 74968.45425428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 90*c**3*o**5 + 739*c**3*o**4 - 15*c**3*o**2 - 40*o**2 + 223*o wrt o.\nAnswer: 5400*c**3*o**2 + 17736*c**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -74*t - 65 + 657 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f + 5*q, 3*q + q = -f. Put 9, f, 24 in decreasing order.\nAnswer: 24, 9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes before 10:27 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*-10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be -7 - (1*-2 + 0). Let z(d) = d**2 - 7*d - 3. Let t be z(6). Let q(a) = a**2 + 9*a + 4. Let y be q(t). Sort x, y, -1 in descending order.\nAnswer: y, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9081 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -497*o**3 - 30342*o**2 - 116307*o - 89262 = 0.\nAnswer: -57, -3, -522\/497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 63830 divided by 315\nAnswer: 12766\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 5*s + 60, 4*s = -2*b - 0*b - 20. Let i(q) = q**2 + 17*q + 45. Let z be i(b). Solve z*c - 7 = -1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(120)\/(sqrt(4) + sqrt(36)))\/sqrt(10))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4693403 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: Collect the terms in -12440*a**2 - 94*a + 12401*a**2 + 94*a.\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**2 + 4*g - 3. Suppose -2*o = o. Suppose 0 = -4*x - o*x + 40. Calculate the least common multiple of l(-6) and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, j: 3, c: 3, g: 9}. Give prob of picking 1 g and 1 c.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*h*v**3 + 48653*h + 19158*v**3 wrt v.\nAnswer: -12*h*v**2 + 57474*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -327583*d**2 + 163857*d**2 + 163718*d**2 + 2*d + 2*d.\nAnswer: -8*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15112087*q**3 - 3*q**2 - 46452532*q?\nAnswer: -90672522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13.8 + -14. Let j = -0.2 - -0.7. Which is the third smallest value? (a) j (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4.7 - 5. Let m = -434\/255 + -5\/51. Which is the second smallest value? (a) 5 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + y + 10 = 0, -2*d - d - 15 = 2*y. Sort d, 1, 19 in decreasing order.\nAnswer: 19, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -89*x + 87*x = 4*q + 16, 5*x = -3*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1530\/75 + (-6)\/(-10) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(76)*2 + -1.\nAnswer: -1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -24*t**2 - 494*t + 2362. Determine b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 161268409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -2*b**2 - 197*b. Let s(y) be the third derivative of -y**5\/30 - 4*y**2 - 487*y. Determine g(s(x)).\nAnswer: -8*x**4 + 394*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9 + 6. Let q(s) = 2*s - 2. Calculate q(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 3*t - 2*i, 0 = 2*t + 3*i - 5*i. Solve t*l + 10 = -0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 162075373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:49 AM and 7:23 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 4*r = -37473, 22*d - r = 27*d - 37463. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 131580771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 20*g**2 - 1. Let o = 8 + -5. Suppose -2*r = r - o. List the prime factors of t(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**2 - 9*v - 13. Let n be f(-5). Suppose -2*q - 1 = -n. Solve -q = -3*j + 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.54? (a) -11 (b) 5093 (c) 5 (d) -1\/2 (e) -2\/5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4690 is divided by 482?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, -4, 55972, 5 in descending order.\nAnswer: 55972, 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 274 = 80*h - 366 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -14*o - 6. Let z(s) = -21*s - 9. Let m(i) = -8*t(i) + 5*z(i). Find the first derivative of m(a) wrt a.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 673 + 5?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b + 1. Let f be v(-6). Suppose -9 = 4*n + 4*d - 1, -3*n - 5*d = -4. Let o = f + n. Solve o*x + 4 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 4, -3, 45843, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l + 99. Let h be k(0). Suppose w = -4*o + 11, 3*o - w + 22 - 39 = 0. What is the hundreds digit of h + (-3 - -1) + o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p - 18, 2*c - 10*p + 9*p = 10. Solve 0 = c*v - 44 + 34 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -55, -143, -241, -331, -395?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 10050 at least 10049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 381064.1ml to litres.\nAnswer: 381.0641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the third derivative of k**6\/120 - 4*k**5\/15 + 61*k**4\/24 - 11*k**3 + 930*k**2. Factor h(f).\nAnswer: (f - 11)*(f - 3)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -811*z + 800*z + 154 = 0. Solve -11*n + 58 = z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 381920, 381971, 382022, 382073, 382124, 382175?\nAnswer: 382226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 39836881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3772.9 + 3773. What is the nearest to 0.2 in 4, -1\/10, 1.04, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 26 + -23. Let q(n) = 178*n + 7. Is q(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 276869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.2, -4, -6, -1198, 12, 1.1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of 0*i**4 + 0*i - 2*i**2 - 1\/10*i**5 + 0 - 1\/2*i**3. Let q(h) = h**2. Calculate 5*q(g) + t(g).\nAnswer: -g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + 0 - (-4 + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -3*x + 3. Let o = 774 + -459. Suppose 0*v + x*v - o = 0. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -88861 * 0.5\nAnswer: -44430.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -20013a + -4?\nAnswer: -200143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 3*p**3 - p**2 + 6*p - 1. Suppose -12 = 2*b - 5*w - 10, 5*w = 0. Let s(j) = j**2 - j + 1. What is b*c(i) - s(i)?\nAnswer: -3*i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 62 - 39. Suppose n + 23 = 2*c. Let r = 7220264 - 7220150. Calculate the remainder when r is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = -s + 41. Calculate the highest common factor of 144 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -165 = 3*z + 57. Let f = z + 82. Which is the second smallest value? (a) f (b) -0.3 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1353*h**2*j + 294*h - 513162*j with respect to h.\nAnswer: -2706*h*j + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 PM and 7:36 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 928 = -19*k + 27*k. Is 229\/2 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*f = 2 - 38 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**3 - 7*w**2 + 8*w - 4. Let g be i(6). Suppose -t - 45 = -6*t. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -58112.1531 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4361 - 32*s + 4361 + 135*s + 57*s.\nAnswer: 160*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-97)\/6 + (-8)\/(-48).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/17 (b) -5 (c) 0.3 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 723262571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1)\/(-1) + 0)*-55. Let x be 2\/11 - 650\/k. Let j be 1*x\/(-9) + 1. Is j at most as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 255 and 9?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 180600529?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**3 + 14*j**2 + 34*j + 389. Calculate x(-13).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(2\/5))**1 assuming z is positive.\nAnswer: z**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -119*j + 55*j**2 + 119*j - 51*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q - 5*o - 245, -5*o + 130 = -q + 2*q. Let k be ((-2)\/(-20))\/(10\/q). What is the smallest value in k, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*o - 16*o - 3*c = -6*o + 8, 24 = -28*o - 337*c + 339*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -23600 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -6*s. Let u be q(-8). Calculate the greatest common factor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1170714 to the nearest integer?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -215 in 0.5, 6, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 3*h**2 - 70*h - 50. Let z be d(24). What is the fourth biggest value in z, 17, 4, 1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/655393426 and -77\/8.\nAnswer: 2621573704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z*z**(-6))\/z*z**(-2\/7))\/((z**2*z)\/(z\/(z**(2\/17)\/z))) assuming z is positive.\nAnswer: z**(-762\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - 3. Let c(p) = -2*p - 9. Let l be c(z). Let a(m) = 4*m**2 - 3*m - 1. List the prime factors of a(l).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1140000 rounded to the nearest ten thousand?\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-2*(-28)\/24)\/(1\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -126 = 147*d - 2331 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8972 - -9660. What is the greatest common divisor of a and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -229788, -460089, -690390, -920691, -1150992?\n\"Answer: -230301*f + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 413 and 1888?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5347, 3458, 307, -4106, -9781, -16718, -24917?\nAnswer: -34378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 24*f + 26. Let j(a) = 1441*a + 1573. Let z(n) = -6*j(n) + 363*r(n). Calculate z(1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.093, -2280\/17, -0.1 in descending order.\nAnswer: -0.093, -0.1, -2280\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 42*g - 11*g + 4*g - 135*g - 44*g.\nAnswer: -228*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 51881 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: Calculate (-6 - 38 - -43) + 1 + -27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-72)\/60)\/(3\/(-22555))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1584) - ((-6*(sqrt(1584) + -1) - sqrt(1584)) + sqrt(1584) + sqrt(1584))**2 - sqrt(1584) - (-2 + sqrt(539) - sqrt(11))*2.\nAnswer: -39632 + 708*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 227 + -147. Are r and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 424*f**2 - f + 65. Let w(j) = -423*j**2 + 3*j - 62. Let k(t) = 3*n(t) + 2*w(t). What is the second derivative of k(s) wrt s?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.03 - 3.03. Sort 1\/14, n, 3, -0.1.\nAnswer: n, -0.1, 1\/14, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = 2*h - 20, -6*h + 20 = -11*h + 5*d. Suppose 5*m = -i + 760, -5*m = -h*m + 4*i - 745. Calculate the highest common factor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -99.296 and -674029?\nAnswer: 673929.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 5*l. Let d(j) = -10*j + 1. Let y(i) = -d(i) - 4*f(i). Determine y(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + -6 + -20 + 21.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 263830 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 2*u = 0, 4*o - u + 3*u = 0. Suppose 60 = 2*w + 3*w - i, o = 5*w + 5*i - 60. Solve -w = 3*b - 0*b - 3*m, 0 = -5*b - 2*m + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 2, -5, -19, -10, 0 in decreasing order.\nAnswer: 2, 0, -0.3, -5, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -3 + 7 + 2*f + 5. Let a be t(-8). Let r(z) = -7*z**2 - z - 4. Let p(x) = 2*x**2 - 2*x + 3. Let n(v) = 3*p(v) + r(v). What is n(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1512*g**5 + 3*g + 30267 wrt g.\nAnswer: -30240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 355958*i**3 + 2*i**2 - 18*i + 3682?\nAnswer: 2135748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60*n + 304457 = -430477 - 239826. What is n rounded to the nearest 100?\nAnswer: -16200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(-3 + (-3)\/(-1) - 1). Let v = -22849737\/98911439 - -2\/147409. Let m = v + 3\/61. Which is greater: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -280*m + 50*m - 62*m - 188*m - 2 - 103*m as b + f*m and give f.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 40 + 50 - 4*o + 88 - 115. What is f(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 3, k: 3, w: 1, e: 6}. What is prob of sequence eek?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d + 0 + 0. Suppose -1 = 2*n - 13. Let z(r) = 0*r + 5*r**2 - n*r**2 + 0*r. What is j(z(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -6*l**2 - 11*l - 536*l**3 + 5*l + 529*l**3. Suppose 2*n + 5*q = -15, -30 = -5*n - 0*n + q. Let c(k) = 6*k**3 + 5*k**2 + 5*k. Give n*u(v) + 6*c(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be (36\/(-8))\/(-3)*2. Let b be 581 + 1*(-2 + k). Suppose 16*q = 14*q + b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 36\/84 - (1 + (-902)\/378) and 109\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2\/121 - 113\/484. Let i = 3.3 - 1.3. Let u = -1 + i. Which is the nearest to 2\/5? (a) u (b) q (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 2*h - 12, -171*i + 174*i - 14 = h. Let f(w) = -2*w - 4. Determine f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/(3\/(3\/(-2)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -24 - -28. Find the second derivative of n**2 + 251*n + d*n**2 + 6*n**2 - 256*n wrt n.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1352 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((sqrt(18)*1)\/sqrt(9) - (sqrt(2)*1 + 3)**2).\nAnswer: -9 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be -5*(3 + 68\/(-20)). Suppose 4*f + 45 = y*j + 109, 4*j = -f - 2. Solve 5*r - 6 - f = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4*q**3*v**2 - 4*q**3 - 33*q**2 - 3*q*v**3 + 23*v**2 + 7 wrt v?\nAnswer: 8*q**3*v - 9*q*v**2 + 46*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2*(15\/25 + (-27)\/(-30)). Solve 28 = 5*m + n*b, 4 = -5*b + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 732 divided by 8608.\nAnswer: 183\/2152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**2 - 1. Let f(b) = -4*b**2 - 2. Let z(y) = -f(y) + 2*x(y). Let q = 8 + -5. Let d(m) = -2 - 1 - m + q. Give z(d(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 4*t = 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the first derivative of -t**3\/3 + 13*t**2\/2 - 3*t + 11. Let p be s(14). Let r be (p - -32)*(-2)\/(-6). Solve i - 14 - 2 = 3*x, 28 = -2*x + r*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -841 + 1313. Let p = 88 + -86. Suppose p*b = 4*h - m, -2*h - 3*b = 2 - 238. List the prime factors of h.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 63\/70618, 2\/7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {s: 3, b: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 3, m: 9}. What is prob of sequence mmqq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose n**4 - 13*n**3 + 11*n**2 + 13*n - 12 = 0. What is n?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3 - -1)\/((-6)\/(-180)). Suppose -5*a - 391 - 629 = 0. Is a\/(-10)*x\/(-18) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3430 and 1682?\nAnswer: 5769260","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2941, 0.272, -2\/9?\nAnswer: 0.272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -m**2*o**3*t**3 - 2*m**2*o**3*t**2 - 11*m*o**3*t + 120*m*o*t**3 + o**3*t**2 - 2*o**3*t wrt t?\nAnswer: -6*m**2*o**3 + 720*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 136843*g + 4 + 0.\nAnswer: -136843*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the second derivative of -2*h**3\/3 + 2457*h. Let a(u) = 3*u**2 - 15*u. What is a(o(l))?\nAnswer: 48*l**2 + 60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -160*u + 140*u - 145 = -45 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 14 + -10. Let n be ((-36)\/(-24))\/(6\/20). Suppose -n = -v - r. Calculate the smallest common multiple of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(500) + 0)**2 - (-5 + sqrt(60)\/sqrt(3)).\nAnswer: -2*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u**2 - 2. Let o be a(-2). Suppose 0*s = 3*s - o. Let q(k) = -2 - 2 - s*k + 2. Give q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + f - 1 = 0, 10 = -i - 3*f - 8. Let g(d) = d**2 - 2*d**2 - d - 2*d - 4. Let b be g(i). What is the third smallest value in -0.3, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.6 and 1.6.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.5 - 2. Let s = -17.2 - -17.5. Which is the biggest value? (a) y (b) -0.1 (c) s (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x**3 + 3*x**3 - 2*x**3 + (-x**2 - 3*x + 3*x)*(-2*x + 0 + 0) - 2*x**3 + x**3 + 3*x**3)*(58 - 6 + 50).\nAnswer: 714*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 121137 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 200238 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, -4, 5, -37, 0.85.\nAnswer: -37, -4, -1\/4, 0.85, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 114055503 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*31\/(31\/2)*4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 942?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffffffqqqqq. Give prob of picking 3 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddf when three letters picked without replacement from gdiefefeggfgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5*t**4 - 2*t**3 - 526*t - 159417 wrt t?\nAnswer: 20*t**3 - 6*t**2 - 526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -166 - -154. Let y be 138\/(z\/(-2)) - 6. Let s(q) = -7*q - 1. Let u(f) = -20*f - 3. What is y*s(m) - 6*u(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -217\/5 + 1509\/35. What is the smallest value in 0.4, v, 175?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1*-64673161\nAnswer: 6467316.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51220405?\nAnswer: 5, 17, 602593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 83 + -81.88. Let c = -1.22 + u. What is the second smallest value in c, 0, 2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 + -1*1\/(-2))*-4. Let f be (2\/4)\/(3*i\/48). What are the prime factors of -3 - (f\/4 - 138)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 207167331.\nAnswer: 3, 7, 1693, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - o + 8 - 32, 0 = 5*c + 5*o - 20. Let k = 15 - 9. Calculate the lowest common multiple of c and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-36)\/8)\/(8\/((-15664)\/99))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 128638290?\nAnswer: 2, 3, 5, 11, 59, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(272) + sqrt(272) + 1 + sqrt(272) + 5 + -4 + (sqrt(833)*-1)**2.\nAnswer: 12*sqrt(17) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*a**3\/3 + 778964*a**2\/3 + 3115904*a\/3 + 1038640.\nAnswer: -4*(a - 194745)*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, t: 2, o: 6, c: 3, f: 2}. What is prob of picking 1 c and 2 t?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*u + 0 - 3\/7*u**5 + 3\/7*u**2 - 3\/7*u**4 + 3\/7*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -4*j + 18. Let w be (j\/(5\/3))\/(-1). Let c(t) = -t**2 - 6*t - 1. Calculate c(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -153750 to the nearest one thousand.\nAnswer: -154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 10 (b) -0.1 (c) 3 (d) 2 (e) 0 (f) 9246 (g) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 703, 697, 689, 679, 667, 653?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 26649 and 22936?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 9 = -3*y - h, -2*h - 9 = -3*y. Let n = -33 + 20. Let f = 21 + n. Solve y*w = -w + f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -67*i**4 + 47460*i**2 - 9 - 47458*i**2 - 5 in the form p*i**2 + t*i + q*i**3 + w + m*i**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/6*((8029\/14)\/31)\/(7\/(-7)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 7497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hkhk when four letters picked without replacement from llhjjhhhssklhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 12) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -x**3 - 2*x**2 + 8*x + 230. Give q(0).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 78 = 10*b - 36*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: ((-10450)\/(-10450))\/(2\/(-152))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1056105378 to the nearest integer?\nAnswer: 32498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1096, -1\/3, 3, 1\/9, -237, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-103*a - 89*a - 110*a)*(1 + 3 - 6)*(-5*a + 3*a + 4*a)*(2 + 4 - 2 + 2) in the form q*a**2 + o*a + d and give q.\nAnswer: 7248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69*x + 38*x + 24*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26571921.\nAnswer: 3, 53, 167119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**2 - s + 8. Let n be j(0). Suppose -g - r = r - 8, 4*r = 2*g - n. What is the remainder when ((-6)\/(-8))\/((-2)\/(-56)) is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3310 - -2120. Which is smaller: -1189 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**3 + 4802*b**2 - 2811510*b - 85621050.\nAnswer: -2*(b - 1215)**2*(b + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - s + 5*z = 65, -394 = -5*s - 2*z. What is the third derivative of -72*p**5 - s*p**5 + 9*p**2 + 167*p**5 wrt p?\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k**2 + 84036*k + 84039 = 0 for k.\nAnswer: -1, 28013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (((-21)\/2)\/(330\/(-220)))\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 105, 1\/7, 0.07, 3 in descending order.\nAnswer: 105, 3, 1\/7, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(931) + 4)**2 - sqrt(19) - (-4*sqrt(171))**2.\nAnswer: -1789 + 55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 4:37 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1117, 5283, 12235, 21979, 34521, 49867, 68023?\n\"Answer: g**3 + 1387*g**2 - 2*g - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 349609268 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - 3 - -12) + 1 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55 = 3*i - x + 41, 2 = -i - x. Let b = -106 + 108. Put i, b, 13 in increasing order.\nAnswer: b, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/(-4)*-1*0. Let r(m) = -m**2 - 2. Let d(p) = 6*p - 10. Let n be d(3). Let g(w) = 3*w**2 + 7. Let s(c) = n*r(c) + 3*g(c). What is s(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*p + 1 + 4 - 6 + (-3 + 1 + 1)*(0 + 0 - 2*p) in the form w + x*p and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 22 = 3*q, -9*q + 10*q = 5*o + 18. Calculate the remainder when (3 + (-174)\/o)\/((-3)\/(-6)) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let d = -9198 - -9193. Sort -22, -3, d, 1, 0 in ascending order.\nAnswer: -22, d, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 24 = -5*z. Suppose 5*r + 145 = -3*n, -25 = -z*n + 3*n. Let b = r - -79. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be -8 - (-4 + -42 + (0 + -2 - 4)). Solve 0 = 4*a - h + 40 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 13 = 3*h + 9, 3*y = 2*h - 12. Let c(z) = -2*z**2 - 3*z - 8. Let r(b) = 4*b**2 + 5*b + 15. What is y*r(m) - 7*c(m)?\nAnswer: -2*m**2 + m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 141, 274, 407, 540?\n\"Answer: 133*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -716*w = -75*w + 12820 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 + 61*a**2 - 132*a - 388. What is l(-63)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.388575985 + 3?\nAnswer: 3.388575985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqi when three letters picked without replacement from qiiqsqqsisiiii?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 278386199 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 19479, 38967, 58455?\n\"Answer: 19488*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -9*m**2 - 2*m + 16. Let g be h(0). Let f(u) = -2*u + 12. Let y(x) = 6*x - 36. What is g*f(q) + 5*y(q)?\nAnswer: -2*q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -75*m**5\/4 - 15915*m**4\/4 - 125187*m**3\/2 + 186693*m**2 - 61662*m - 58440 = 0.\nAnswer: -974\/5, -20, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5938 - -15477. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5290 divided by 9405.\nAnswer: -1058\/1881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that z**4\/6 + 7*z**3\/6 - 3*z**2\/2 - 7*z\/6 + 4\/3 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -2*q. Let v(f) be the third derivative of 11*f**4\/2 - 43*f**2. What is v(t(x))?\nAnswer: -264*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 510407*y - 510427*y - 1040 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10248*l**4 + 158*l**3 - l**2 - 339*l + 5188.\nAnswer: -245952*l + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*m = 5*m - 95 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -1 + x**4 - 9*x**3 + 0*x - 8 - 2*x + x. Let q(v) = -2*v**3 - 2. Let l(b) = -9*q(b) + 2*z(b). What is the second derivative of l(g) wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5 + -5.692.\nAnswer: -5.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1, -39, -137, -325, -633?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -4*n + 3. Let t be r(-3). Let h = -271 + 269. What is the least common multiple of (-2 + 78\/t)*(-5)\/h and 134?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 3, 708, -3, 5 in descending order.\nAnswer: 708, 5, 3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 447 is divided by 89?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -2092.26 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be (21\/12 - 1)*4. Suppose 2*j = -p + 7. Suppose s + j*s = 30. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-4)*0*9\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + u - 13 = 4*u, -4*z = -2*u - 14. Suppose -2*r - r + 15 = 0. Sort -5, r, z in ascending order.\nAnswer: -5, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*c - 4*q = 28, 16*c = 20*c + 3*q - 25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -2\/25071 and -149\/1098.\nAnswer: 150426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is (-3)\/(281\/1405 - (-293468)\/(-1467190)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 263 = 18*p + 353. Let j(f) = f**3 + 7*f**2 - f - 3. Let g be j(-7). Let c(y) = g*y - 2*y - 2 - 2. Determine c(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 + -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**2 - 8*j - 9. Let k be l(9). Let i(w) = -w + 12. Is i(k) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/9*18\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.4 * -751005.9.\nAnswer: -1802414.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -3 + 7 + (-2 - 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -7*y**3 + 24*y - 58. Let j(q) = -q**3 + q + 1. Let b(l) = -6*j(l) + n(l). Find the first derivative of b(m) wrt m.\nAnswer: -3*m**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 304 and 11200.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 243*36755\nAnswer: 8931465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -9*h + 9. Let l(r) = -r - 7. Let i be l(0). Let f be g(i). Let j = 112 - f. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -111101110111 (base 2) to base 7\nAnswer: -14354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 44588 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 3*d - 8. Let j(y) = 3*y + 21. Let v(z) = z + 9. Let f(u) = 2*j(u) - 5*v(u). Let p(s) = -17*f(s) + 6*h(s). Calculate p(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 910586?\nAnswer: 2, 109, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 29*r. Let x(n) = -259*n - 79. Determine 8*f(b) + x(b).\nAnswer: -27*b - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 6 = -y, -5*p - 2*y = -3*y. Does -3 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -3 (c) -0.3 (d) -2 (e) -10 (f) 2\/23 (g) 53\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19401 is divided by 549.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -158 + 1318?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(1\/7)\/n*n**(-5)\/n*(n**(-6)\/n)**(-47))**(-43) assuming n is positive.\nAnswer: n**(-96965\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 41 = 29. Let s be 3 + (-4 - -3) - (-103 - -2). Suppose -2*x - 75 = -s. What is the highest common factor of l and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 11:06 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-616)\/(-168))\/(9*2\/54)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70030.\nAnswer: 2, 5, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let -36*v**3 + 10004404*v**2 - 695056801600*v + 77228410000 = 0. Calculate v.\nAnswer: 1\/9, 138950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together 1.34724101 and -0.6449279.\nAnswer: 0.70231311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36583 - 240615 = -64*t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 129*c**2 + 0*c + 138*c**2 + 638 + c + c**3 + 129*c**2 - 399*c**2 to the form x + g*c + w*c**2 + j*c**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 264 minutes before 9:39 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.02 * -31.59.\nAnswer: 0.6318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -6*h**3 - 41*h**2 - 88*h - 157. What is y(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -127*r**2 - 1652*r - 395. Calculate o(-14).\nAnswer: -2159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -3, -2\/3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.023 * -46\nAnswer: -1.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**3 + 24*o**2 + 6*o - 138. Determine s(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -21, -33, -25, 27, 147?\n\"Answer: 4*d**3 - 14*d**2 + 2*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 86 + -82. Solve 3*c + w = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 324*o**3. Let i(d) = 161*d**3. Determine -5*i(m) + 3*t(m).\nAnswer: 167*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7570 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is t in 4*t**3 - 74138*t**2 - 37072*t + 37070 = 0?\nAnswer: -1, 1\/2, 18535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -6736 + -121?\nAnswer: -6857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*y - 103 = -59 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1423 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (57 - x - 57)*(0 + 0 + 1)*(0 + 2 - 4)*((2*x + 2*x**2 - 2*x)*(-1 + 4 - 2) - 4*x**2 + x**2 - 2*x**2) in the form j + n*x + w*x**3 + d*x**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12)\/(sqrt(100) - (sqrt(100) - sqrt(100)*-4)) - ((2*sqrt(432) - sqrt(432)) + 2*sqrt(3) + sqrt(3) + 3))*-2.\nAnswer: 6 + 301*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 8119*y**2. Let p(d) = -111*d**2 - d. Calculate p(x(g)).\nAnswer: -7316915871*g**4 - 8119*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(255)\/sqrt(5) + sqrt(51)))\/(2*sqrt(48)).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the third derivative of 3*p**4\/8 - 7*p**3\/6 + 22*p**2. Let f(t) = -8*t + 6. Give -7*f(r) - 6*w(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1275766301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-600)\/520 - (12\/26)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k and 1 j when four letters picked without replacement from jkjkkjkkkkjjjh?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1753)\/(-4) - (9\/4 + -3). Let g = 1283 - o. Suppose -36 = -5*w + g. Calculate the highest common divisor of 44 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52 = 5*t + 17. Let n = 0.051 - 0.014. Let s = n - -0.063. What is the closest to -2\/7 in s, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 478, -5, 0 in decreasing order.\nAnswer: 478, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -375 = 11*u + 142. What is the tens digit of -1 + -2 + 2 - u - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 13*u**2 - 53*u. Let z(m) = -4327 + 13*m**2 + 4327 - 53*m. Let l(r) = -3*y(r) + 4*z(r). What is the second derivative of l(c) wrt c?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -4*f**3. Suppose 0 = 3*g - 2*y - 7, 2*y = -g - 3*y - 26. Let n be b(g). Solve -6*m + 9 = -q - n*m, -m = -5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.097 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**2 - 7*y - 5. Let w = -5 + 3. Let i be m(w). Sort 3, -2, i, 4 in increasing order.\nAnswer: -2, 3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*i + 8*i = 3*z - 3597, -4*z + 2*i + 4774 = 0. Is 41 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, 0.5, 0.4, -0.05, -0.3, -2.3413, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 2*h - 3. Let p(q) = 3*q - 3. Suppose -85 = 39*a + 305. Let w(b) = b**3 + 13*b**2 + 28*b - 15. Let t be w(a). What is t*x(i) - 4*p(i)?\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + ((2*sqrt(96) + (sqrt(600) - sqrt(600)*1 - sqrt(24)))\/(-2*(sqrt(12) - sqrt(192)) + (sqrt(12) - 4*sqrt(12)*1)) + 5)**2)*-1.\nAnswer: -24 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 148680?\nAnswer: 2, 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15410 = -33*s + 45902. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -591 - -579 - (0 + -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k + 280 = -3*w + 249, w + 14*k + 2 = 22*k - 9*k for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 70726*p**2*s + 26*p**2*y + 49*p*s + 19*p*u*y - 2*p*u + 2*p*y - s*u*y wrt s?\nAnswer: 70726*p**2 + 49*p - u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -7661207 (base 10) to base 3.\nAnswer: -112102020012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 231*r + 1462. Let u be k(-6). Solve u*j = 15 + 289 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 2 m, and 1 a when four letters picked without replacement from {a: 2, m: 4, u: 2, l: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58749*q**2 + 400992*q**2 - 90117*q**2.\nAnswer: 369624*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -11 + 9 - -13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -81 + 86. Solve -2*h + 4*h + 4*r = -14, -c*h + 2*r = 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -0.106 (b) 1\/2 (c) -0.3 (d) -0.34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes after 7:06 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -67a20 (base 15) to base 9\nAnswer: -552173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 264 = 231. Calculate the common denominator of (-2)\/(-6) + (-444)\/z and 1 - ((-24)\/20 - 2262\/(-60)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the third derivative of x**5\/20 + 11*x**3\/6 - x**2 - 17. Let m(l) = -l - 2. Let s(u) = -u + 2. Let a(j) = m(j) + s(j). What is a(f(b))?\nAnswer: -6*b**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2027065?\nAnswer: 5, 405413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7969.\nAnswer: 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -35*u - 13. Let t(o) = 29*o + 15. Give 3*s(w) + 4*t(w).\nAnswer: 11*w + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*2*sqrt(88))\/(4*sqrt(40)\/sqrt(5)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 135 and 3.17.\nAnswer: 427.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*(o\/(o**22*o*o*o))\/o*o*o)\/o)\/o)\/o*o**20*o**(1\/4)\/o**(-25) assuming o is positive.\nAnswer: o**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-187)\/(-9) + (-52)\/(-234). What is the highest common factor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35 - 35 + 3*h**2 + 0*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c and 1 d when four letters picked without replacement from {d: 2, c: 3, v: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5587503915 to the nearest integer?\nAnswer: 74750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-376*5\/30)\/(4\/(-6)). Suppose 5*y = -2*l - 273, l = 2*y - 2*l + t. Let i = -2 + -50. Which is bigger: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -19*p**3 - 13*p**2 + 13*p - 2. Let f(h) = 9*h**3 + 3*h**2 - 17*h + 33*h + 2*h**2 - 22*h + h**2 + 1. Let l = 21 + -8. Determine l*f(q) + 6*y(q).\nAnswer: 3*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 17465688 times 0.1?\nAnswer: 1746568.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 297*f - 294*f = 75. Solve 43*i = 38*i - f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(-7)*l)**(-21\/5))**(5\/9) assuming l is positive.\nAnswer: l**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2 - 4. Let y be 2\/(112\/54 + b). Solve 2*p - 13 = t, 5*p + 8 = -2*t + y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 7 + 5 = d, -2*d - 3*v - 20 = 0. Let w = d + -3. Let i be w\/(-3) + (-1)\/3. Which is the third biggest value? (a) 0.5 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/((10 - 10) + 32\/12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-3))**(2\/63)\/(n\/(n**3*n))**(-1\/22) assuming n is positive.\nAnswer: n**(-107\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2 - -3)\/(3\/(-27)). Let o be (-18)\/w + (-2)\/(-3). Determine j so that -2\/3*j**4 - 16\/3*j**3 + o*j**5 + 8\/3*j + 4\/3*j**2 - 2\/3 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*o\/o**8)*o)\/(((((o**(2\/43)*o)\/o)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(471\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1.8 + 25.896837?\nAnswer: 27.696837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-510)\/850)\/(3\/(-75))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-124 + 124 - 23*h**2)*(-10*h**2 - 7*h + 7*h).\nAnswer: 230*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (41960\/(-32519))\/(6\/(-93)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6 - 2180\/(-1086)*(-9)\/3. Is 0 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 141*r**3 - 415*r**3 + 134*r**3 + 139*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 - 3)*(3*n + 2*n - 3*n + (2 + 3 - 3)*(2*n + n - 2*n))*(-4 + 2 + 0).\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1.2 and 2244449199525?\nAnswer: 2244449199526.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 1675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {j: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 338, 2, -11, -17, -2, -4, 4 in decreasing order.\nAnswer: 338, 4, 2, -2, -4, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6\/25 + 11\/25. What is the closest to 0 in -5, -2\/9, m, 41?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s - 4. Suppose p = -525 + 523. What is q(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8 - 7. Let g = 0 + 5. Solve -4*l = -g*p - 1, p - 1 - r = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -23 (c) 4 (d) -0.06 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.0021 + -5.0021. What is the second biggest value in q, -11, -0.6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is a12 - 2?\nAnswer: a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**3 + 5*k**2 + 4. Let c be l(5). Suppose -c*g = -0*g - 24. What is the remainder when 10 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -415, -843, -1275, -1711, -2151, -2595?\n\"Answer: -2*j**2 - 422*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 7583659*j**2 + j. Let z(n) = -n. Determine x(z(g)).\nAnswer: 7583659*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 91247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 1728*t**2 + 4980*t + 4943*t - 9922*t as y*t**2 + j + o*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate m*p**2 + m*r + 4635627*p**4*r - 3118563*r with respect to p.\nAnswer: 2*m*p + 18542508*p**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2509 + -2506 - ((-6)\/4)\/(-1)*-2. Solve 0 = 2*a - 4*n + 4, 2*n = -3*a - 0*n - g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/6? (a) 686 (b) -5\/4 (c) 0.3 (d) 0 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrh. What is prob of picking 1 r and 1 h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -3. Let k(m) = -1757 + 3*m + 1753 - 3*m + m. Let u = 12 + -15. Give u*r(w) + 2*k(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -10530*w - 63252. Calculate d(-6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the second derivative of -m**5\/6 + 8*m**2 - 9*m. Let a(k) be the first derivative of t(k). Let l(p) = 2*p**2. What is l(a(r))?\nAnswer: 200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n - 4*n - 5, 4*u = 4*n - 192. Which is smaller: u or -42?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22 - 2667\/126) + (-267)\/(-90).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 15 (base 14) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17834\/26733 - -4\/8911. Sort 12, -2, -0.2, t in decreasing order.\nAnswer: 12, -0.2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*u - 2*s + 10 = 14*u - 36*u, 2*u - 12*s + 37 = -185 for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 6215940247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -24\/35 and 11\/520485.\nAnswer: 520485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (856\/(-10))\/((-2304)\/(-19584)*34\/5)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 6.843 * -155561\nAnswer: -1064503.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -4*r. Let q be 0 - (5 + -1 - 4). Let v be o(q). Solve 0 = -v*y + 5*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 6*u + 12. Let k be (0 + 0 - u) + (44 - 35). Solve 6*m = 2*m - 8, -k*y + 13 = -4*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7442 is divided by 152.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -107, 4, 4\/11, 0.2, 18\/7, 1 in descending order.\nAnswer: 4, 18\/7, 1, 4\/11, 0.2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -3 + 8*j + 9*j**2 + 0 - 9*j**2 + 2*j**2 - 1 - 3*j**2. Let n(d) = 3*d - 1. Let i be n(2). Calculate b(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 times -38.8\nAnswer: 116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -155 - -167. Suppose 0 = -36*o + 38*o - y. Solve -4*g + g + o = z, 0 = -3*g - 3*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i - 4*s, 5*i + 0*s + 5*s = 0. Solve i = 3*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 20 - 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (45\/27)\/(4\/3840). Calculate the greatest common divisor of 64 and q.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t - 2*t - 3 = -3*w - 30, 73*t - 2124 = -83*t + 166*t + 236*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -3*h**3 - 4*h**2 + 5*h + 16. Calculate u(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 20 (base 16) in base 11?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 13 + 5. Suppose -10*r = -y*r - 9. Suppose -13*v + 20 + 19 = 0. Calculate the remainder when r is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17 - 17.1. Let s = -6.1 - t. Let b = 6 + s. What is the nearest to b in 2\/3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.145, -14\/5, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -3*k**3 + 7*k**3 + 4*k**3 + (-4*k**2 + 2*k**2 + 0*k**2)*(3*k - 3*k - k) in the form f*k**3 + t*k + c*k**2 + a and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**3 + 9*m**2 - 14*m - 17. Let u be a(5). Let z be 281\/9 + 6\/(-27). Let h = 46 - z. Is u greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -26*v + 9400 + 8722. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4164\/5*p + 2167362\/5 + 2\/5*p**2.\nAnswer: 2*(p + 1041)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.01 + -5.01. Let u = 14 - 12.3. Let v = u - 1.4. Sort 4, v, i in descending order.\nAnswer: 4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 3*l - 1. Let a = 3 + l. Differentiate 5*h**2 - 3*h**4 - 5*h**2 - a wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nwwvwwwwwwwwov. Give prob of picking 1 o, 1 w, and 2 v.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*0.149.\nAnswer: 0.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 1. Let a(x) = -x**3 - 8*x**2 + 17*x - 28. Let s be a(-10). Let g(i) = -i - 9. Let n(w) = s*r(w) + g(w). Determine n(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in eleven eighths of a day?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 1:43 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 9*j - 2*j**2 + 4 - j**3 - 24*j + 8*j + 10*j. Suppose 0 = 4*z - a + 13, 19*z - 16*z + 11 = 2*a. Let v be n(z). Solve 0 = -c + 2 - v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 852207 - 5?\nAnswer: 852202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1837 a factor of 161174706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -4*q - 0*u - 492, 5*u + 225 = -2*q. Let x = q - -135. Calculate the remainder when 103 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -123861 (base 10) to base 5\nAnswer: -12430421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32232719?\nAnswer: 32232719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 56.15373013 to one dp.\nAnswer: 56.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d + 0*d - 301 = 0. Let h = 55 + d. Suppose -5*g + 2*g + p - 675 = 0, 4*p - h = 0. What is g rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -415*m + 411*m. Let h(p) = 5*p + 5. Suppose 21 = 3*s - 4*q, 2*q + 11 = 2*s - 3. Let b(d) = -6*d - 6. Give m*b(l) + s*h(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1345 - -2404050?\nAnswer: 2402402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 353 + -367. What is the remainder when (-3 - 0 - h) + (-10 - -9) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 28 = -2*m, -m - 4*t + t - 15 = 0. Let v be (m\/(-5) + -3)*-10. Let j be (25\/20)\/(3\/v). Solve -p + 2 - j = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5831 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 5*m + 9 = 3*i, 12 = 4*i - m. Factor i*t**3 - 8*t**3 + 7*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2151665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 2452 divided by -25602\nAnswer: -1226\/12801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the third derivative of -5*j**8\/336 - 3*j**6\/40 + 83*j**5\/60 - j**2 + 22*j. What is the third derivative of i(o) wrt o?\nAnswer: -300*o**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*t + 0*t + 0*t)*(-1 + 3 + 2)*((2 - 1 + 1)*(1 + 2 - 1) + 5 - 1 - 2 + 1 + 3 + 0 + 1 - 2 - 1 - 2 - 7 + 2) in the form w*t + u and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -941? (a) 5 (b) -0.029 (c) -3 (d) 0.5 (e) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1064 = -180*g - 196 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of -g**4\/12 + 2*g**3\/3 - g**2 - 14*g + 5. Give k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 32? (a) -4 (b) 49.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -137, 3, 2, -34.\nAnswer: -137, -34, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1199121?\nAnswer: 3, 7, 11, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 - 7*d + 8. Let g be a(-7). Let v(q) = q + 1. Let m(b) = -b - 2. Give g*v(j) + 5*m(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 10 = 5*b, -12 = 5*b - 3*h - 2. Let v = 4 - 4. Let a = v - -2. Sort 4, a, b in decreasing order.\nAnswer: 4, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 60 and 1300.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b + 2*x - x + 17, -2*x - 2 = 0. Solve 4*l = 5*a + b, 3*a - l = -3 + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -2*b**4\/11 + 26278*b**3\/11 - 78816*b**2\/11 = 0.\nAnswer: 0, 3, 13136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -2*g**2 + 4*g + 3. Let a(u) = -10*u**2 + 969*u + 14. Determine a(v) - 4*j(v).\nAnswer: -2*v**2 + 953*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 554 is divided by (-1)\/((3 + 3)\/18) + 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 319.403 + -219.322. Let k = -2.09 - 97.91. Let g = f + k. What is g rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-32 - (-2719)\/85)\/(2\/(-180)).\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 260575416 to the power of 1\/3, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 868 = 12*w + 13*w + 118. What is the highest common factor of 2415 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes before 7:37 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let -5*v**5 + 63620*v**4 + 572835*v**3 + 1909730*v**2 + 2801140*v + 1527960 = 0. Calculate v.\nAnswer: -3, -2, 12733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.5 - 0.5. Let p = -6.767 + 0.067. Let v = 7 + p. Put v, q, 2\/5 in decreasing order.\nAnswer: 2\/5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 - (104\/(-2))\/4. Let b be (-66)\/(-14) + 1\/(42\/s). Suppose -b*p = -5 - 70. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -113\/972 and -89\/54.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -g**3 + 3*g**3 - 3*g**3 + 2*g**3 - 2*g + 2*g + (-3*g - 2*g**2 + 3*g)*(2*g - 2*g - 2*g) + 2 + g**3 + 0*g**3 + 0.\nAnswer: 6*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 2 m when four letters picked without replacement from wuwmwmmwmmmmddm?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2523 - -1?\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kxaxaxaoxarddaa. Give prob of sequence rdd.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wcaawkvpvpwpwc. Give prob of sequence caa.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be 860\/25 - 2\/5. Let f = q - 15. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*m**3 + 1182258*m - 1182258*m.\nAnswer: 53*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/(-10) + 34548\/30. Let f = -493 + n. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.069749 - -4.930251. Let z = 3 - 4. What is the nearest to z in 1, w, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**3 + 7*g + 2. Let l be q(0). Let b(c) = 105*c**2 - c. Let j be b(1). Suppose l*h - 10*h = j. Which is smaller: -12 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -35 * 48.\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/(-3) - (-11)\/3. Suppose 0 = -2*f - 2, -2*f + 0*f = 2*s - 2. Let x(v) = -2*v**2 + v**s + g - 5 - 6*v. Give x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 6*a - 1. Let z(x) = 4*x**3 - 6*x**2 - 5*x - 4. Let s(f) = -f**3 - f**2 + f + 1. Let j(b) = -5*s(b) - z(b). Let v be j(-11). What is u(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.07015004 to 4 dps.\nAnswer: -0.0702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 75552 and 337344?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1427*c + 1408*c = -57 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w**2 + 0*w**2 - w**2)*(w**3 - 4*w**3 + 4*w**3) + (-5*w + w + 3*w)*(3*w**4 - 3*w**4 - w**4).\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 46, 44, 42, 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 104785181 and -0.2.\nAnswer: -20957036.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9410, 37633, 84676, 150545, 235246, 338785?\nAnswer: 461168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4573 = -36*i + 3853 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6085 + 13040. Suppose 5*d + 2*k - 17371 = 0, -8*d + 3*k = -10*d + m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-1 - -2) + 0)*-1. Suppose 4*o = -o + 5. Let h(y) be the third derivative of y**4\/24 - y**3\/6 - 403*y**2 - 16*y. Let l(w) = 2*w. Give g*l(f) + o*h(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 61*m - 184*m + 63*m + 65*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 77 at most -436\/341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sqq when three letters picked without replacement from {s: 4, q: 5, d: 5}?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 770 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 + w**2 - 41*w - 2. Let b be u(6). What is the second derivative of 4*l - 2 + 19*l**b - 2 + 4 wrt l?\nAnswer: 228*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -86*x - 25*x + 126*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 112 or 187875\/1657?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4\/10)\/((-2)\/(-10)). Let n(x) = -2*x**3 - 4*x**2 + 3*x**3 - 4*x**2 + 5*x + 1 + x**j. Determine n(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2732853 or -57389921\/21?\nAnswer: -57389921\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -144*j + 40 = -134*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 113a43a (base 11) to base 8\nAnswer: 7457344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 127*s + 6087. Determine i(-48).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -5\/6, 1\/10 in decreasing order.\nAnswer: 1\/10, -5\/6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*q + 1844 = 6408. Let b = q - -670. What are the prime factors of b?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*m = -52 + 10 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 50 - 38. Let r be (-64)\/(-10) - (-4)\/(-10). Suppose 0 = -3*o + 15 - r. Solve -o*c - m = k, -c - 3*k = -3*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -5*n - 4. What is the tens digit of i(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3.05 + -0.05. Let o = 6 - s. Let r be 84\/(-196) - 2\/7*2. Is r bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = 6451 + 9428. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.5, -2\/5, 17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 340\/227 + 1\/454. Factor 0*h**2 + 0 - g*h + 3\/2*h**3.\nAnswer: 3*h*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -83119, -82777, -82435?\nAnswer: -82093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 181, 1734, 6009, 14368, 28173?\nAnswer: 48786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -1680 = -18292*t + 18236*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 AM and 3:55 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 662 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(3645) + sqrt(3645) - sqrt(3645)) + sqrt(45))\/((sqrt(81) - sqrt(9) - sqrt(9))*3))**2.\nAnswer: 1805\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - 4) + 17 + -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes before 10:46 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 14\/14325?\nAnswer: 14\/14325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eyeyyyetyyoet. What is prob of picking 1 e and 2 y?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 3*j = -14, -5*m + j + 2*j + 2 = 0. Let h be m\/7 + 9\/154. Let l = h + 89\/198. Which is the nearest to -2? (a) l (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 5, i: 3, f: 1}. What is prob of picking 1 f and 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2512920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 4*a - 11 = 3*f, 0 = -2*a - 5*f - 21. Let s(v) = -4 - 2*v - 51875*v**2 + a*v + v. Let t be s(4). What is t rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -23298 + 47?\nAnswer: -23251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 257514 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5.6 - 6.6. Let o be (-18)\/72 - 7802\/(-40). Let v = o + -194. What is the second biggest value in 0.13, p, v?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 1087 = 5*x + 14871, -6*x + 41226 = 3*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -131 + 135 = -2*i + 3*z, -2*i - 2*z = 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*m*y**2 + 64682*m - 6573*y**2 wrt y.\nAnswer: 4*m*y - 13146*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2*(-4)\/(-2)*1)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1668 and 2007021.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4*o**2*u + 468*o**2 + 4*o - 1487*u wrt u.\nAnswer: 4*o**2 - 1487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -555, -1120, -1687, -2256, -2827, -3400, -3975?\n\"Answer: -z**2 - 562*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 132473 is divided by 132473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 18 (c) -5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-645)\/(-45) + (-42)\/18 - -3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 11071 or 11073?\nAnswer: 11073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/12*2*(-8)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 496 divided by -16.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 5*v**2 - 55*v + 5. Let g(k) = 5*k**2 - 44*k + 4. Let d(h) = -5*g(h) + 4*m(h). Let b(t) = 28*t - 9. What is d(b(q))?\nAnswer: -3920*q**2 + 2520*q - 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 53.3 to the nearest integer.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -2 bigger than 2574649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u*u*u**6))\/u)\/(u*u\/(u*(u\/(u\/u**(-3\/10)))\/u*u))*u**8\/(u*u*u\/(u*((((u*u\/(u*u*u*u\/(u**(-5\/6)\/u)*u)*u)\/u)\/u*u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-624404)\/322)\/(8\/(-28) - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5991, -5512, -4209, -1668, 2525, 8784, 17523, 29156?\nAnswer: 44097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 88, 226, 420, 676, 1000, 1398, 1876, 2440?\n\"Answer: u**3 + 22*u**2 + 65*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(2\/13)\/y*y)\/(y**22*y))**(1\/23) assuming y is positive.\nAnswer: y**(-297\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -b7137b - -44?\nAnswer: -b71337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 36834 * -985\nAnswer: -36281490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -765*r + 348 = -880*r - 572 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*v**2 + 10*v**2 - 7*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 2616\/(-1635)*6\/((-96)\/(-1060))\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 21216 (base 7) in base 6?\nAnswer: 40200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -2498*m - 13. Is s(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86917796 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**2\/(l*l*l**(8\/5)))\/(l\/((l**(2\/9)*l)\/l))**(-31))**(-1\/25) assuming l is positive.\nAnswer: l**(-1013\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 5107?\nAnswer: -3\/5107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the second derivative of 154*c - 28\/3*c**4 + 37\/9*c**3 + 5\/7*c**7 + 131\/15*c**5 + 2\/3*c**2 - 178\/45*c**6 + 0. Factor u(r).\nAnswer: 2*(r - 1)**4*(45*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 88 and 39233579.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 705825 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r = 3*v + 9, -5*r = 2*v + 81 - 75 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 231756043273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1.78124 times 43?\nAnswer: 76.59332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**2 + 11*h + 45. Determine y(16).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 12339504 rounded to the nearest 10000?\nAnswer: 12340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -74*a - 14*a = -667 + 7048 - 1013 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes before 5:13 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 8*u = 0. Let h(n) = -2*n**2 + n. Let x be h(u). Solve x = -f - f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 674, 691, 734, 815, 946?\n\"Answer: 2*h**3 + h**2 + 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-9036)\/(-90) - 18) + 7 + 3\/5. Calculate the highest common factor of 2118 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y\/(y*y**29\/y)*y)**(-1\/5))**(-1\/19) assuming y is positive.\nAnswer: y**(-26\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.1125 - 0.8495. Let s = u + 0.75. What is s rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 5*f + 5. Let l = 17 - 13. Let r(b) = 6*b + 4. Let d(q) = l*u(q) - 3*r(q). Calculate the lowest common multiple of 2 and d(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**3 - 5*g**2 + 13*g + 4. Determine u(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 3*q = -435, -q - 140 = -d + q. What is the least common multiple of 18 and d?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0974135ml in litres?\nAnswer: 0.0000974135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1155\/13 - 89. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 + -15 - (0 + -2 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 32243603 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 y(u) = -u**4 - u**3 + u**2 - u - 1. Let i(d) = 5*d**5 - 2*d**4 + 7*d**3 - 5*d**2 + 5*d + 5. Let x(h) = -4*i(h) - 20*y(h). Factor x(g).\nAnswer: -4*g**3*(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**2 + 12*d + 34. Let g be o(14). Suppose g*c = 8095 - 2353. List the prime factors of c.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -4*h - 7. Let d = -18 + 13. Is t(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g - 5*g + 2*g)*(-3*g**2 + 6*g**2 - 4*g**2) - 14 + 5 - 23*g**3 + 26*g**3.\nAnswer: 4*g**3 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes after 4:09 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2309 or 0.2?\nAnswer: -2309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooooopoooooooooopo?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -2*f + 57. Let b(d) = 3*d - 58. Let m(i) = -5*b(i) - 6*k(i). Let w be m(-19). Solve 0*j = w*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 7792, 7791, 7788, 7783?\n\"Answer: -y**2 + 2*y + 7791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 47 = 11. Calculate the remainder when (-15)\/12 + 354\/8 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 42975 and 1125.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l + 1. Let r(z) = z**2 + z + 3. Let a be r(0). Suppose -a*k - 5*n + 44 = 0, -k + n = 3*k - 28. Calculate the smallest common multiple of w(1) and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -292a8 (base 11) in base 3?\nAnswer: -2010002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.03, 1, 0.5, 3, -1\/93, -42, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/23, 4, 2226, -0.3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 58 - 56. Let r be b\/4*2 + 2*-13. Let a be 3 + 160\/r - -4. Sort 0.1, a, 2\/7, 2.\nAnswer: 0.1, 2\/7, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -198 - -286. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1098\/225 - 5 - 7\/(-35)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-15)\/(-3)*(-1)\/1. Let m = 7 + y. Suppose h + m*h = 30. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 650309383 and 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/(-5))\/((-3)\/15). Let h(n) = -4*n + n**c + 4*n - 2. Determine h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.2 and 6399?\nAnswer: 6397.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/29 (b) 1064 (c) -0.215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - 4005?\nAnswer: -4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times -35750.8?\nAnswer: -71501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -5.4 or -11?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -14, 12 in decreasing order.\nAnswer: 12, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1500?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**3 - 538*y**2 - 12831*y - 156. Calculate p(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.9 + 4.9. Let n = 4.416 - 0.016. Let i = n - f. Which is the third biggest value? (a) 0.1 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cbb when three letters picked without replacement from vqcqbbjbbbbjbbqbjjjq.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 4*p = 208, -12*i + 292 = -9*i + p. What is the highest common factor of 132 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 34\/21 - 248\/231. Find the common denominator of 690\/(-15)*(168\/64 - 3) and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*w**3 + 50*w**2 + 155*w + 150.\nAnswer: 5*(w + 2)*(w + 3)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 2\/7, -19, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -262, -9, 135 in decreasing order.\nAnswer: 135, -9, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -116937917582 + -7.\nAnswer: -116937917589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.2, 14, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1005, -1004, -1003, -1002, -1001, -1000?\n\"Answer: j - 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*k - 2760 = 20*k. Let i = 550 + k. Let y(n) = n**2 + 4*n - 6. Let b be y(-5). Sort -5, 4, i, b in increasing order.\nAnswer: -5, i, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 16296479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 38891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1300 and 21925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 12\/25 of a millennium?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -46*s - 13. Calculate z(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1308\/(-109))\/((-3)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be 8\/(-14)*42\/(-12). Let t(m) = -3*m + 4. Give t(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1744 - 1744 + 91*b**2 + (2*b**2 - 2*b**2 + 2*b**2)*(7 - 7 + 5).\nAnswer: 101*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times 141\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -368, -1492, -3372, -6014, -9424, -13608, -18572?\n\"Answer: -m**3 - 372*m**2 - m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18, 465, 1240, 2367, 3870, 5773?\nAnswer: 8100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 88663 (base 10) to base 15.\nAnswer: 1b40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-2\/9)\/c*c)\/c)**14 assuming c is positive.\nAnswer: c**(-154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 4*x + 75 = 0. Suppose 0 = 5*u + 4*b - 9 - 3, 5*b - x = -5*u. Suppose 2*n + 2*m - 12 = u, -3*n = -2*n - 2*m - 12. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 13) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8 and 428?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 1168576?\nAnswer: 1168576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i**2 - 2*i + 7. Let u be r(-5). Suppose 106 = 5*w - 4*g, 3*g - 42 = -3*w - 0. What is the smallest common multiple of (-6 - 2)*14\/u and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -3*r - 2. Let b(w) = 2*w + 1. Let o(c) = 5*b(c) + 4*d(c). Let m be o(-10). Find the first derivative of -8 + 1 - 4*g - 10 + m*g wrt g.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s + 3*l = 0, 88*l = -5*s + 92*l - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*g**5 + 2*g - g + 13*g**5 + (0*g**3 + 3*g**3 - g**3)*(-7*g + 7*g - 5*g**2) - 94*g**2 + 94*g**2 + 5*g**5.\nAnswer: -3*g**5 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) 1\/3 (b) 10 (c) -1 (d) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -21 + (-180 - -205 - (-51 - -1))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*a**2 - 4*a**2 + 3*a**2 + (a - 3*a - a)*(4*a + 2*a - 5*a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 2*g**5\/9 + 82360*g**4\/9 - 439378*g**3\/3 + 5685068*g**2\/9 + 823120*g\/9 - 10985600\/3 = 0.\nAnswer: -41196, -2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*i**2*j**4 - 10*i**2*j - 309*i - 8377257*j**5 + 1543*j wrt j?\nAnswer: 60*i**2*j**2 - 167545140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1251 - -5?\nAnswer: -1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -l + 4*l + 5*l - 2*l - 2*l**2 wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 101*i - 10*i - 305*i + 104*i + 111*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*q**3 - 26 - 16 + 62 - 33*q**3 - 20.\nAnswer: -37*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 95.27302kg?\nAnswer: 95273020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -396566 at most -396574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 9746249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49480 is divided by 16489?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -2 (c) 2 (d) 2\/9 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1 + -27)\/(1*-1). What is the greatest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 21928 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = i - 103, 2*t + 133 = -5*i + 54. Let l = 19 - 5. What is the remainder when 180\/t*(5 + -11) is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/9, 197, 0.4, -0.035, 3\/10 in descending order.\nAnswer: 197, 0.4, 3\/10, -0.035, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*1*sqrt(13) + -5 - 5*(sqrt(91)*-2)\/sqrt(7))**2 + (3*1*sqrt(130))\/(sqrt(100)\/(-1*sqrt(10)))*4.\nAnswer: -62*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(399) - sqrt(399)*2)\/sqrt(7)*-5)\/((sqrt(75)*5 - (sqrt(36)*-2)\/sqrt(12))*3).\nAnswer: -10*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*q + 88846 = 88934 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -19342 + 19346. Factor 7\/5*a**3 + 9\/5*a + 0 + 1\/5*a**c + 3*a**2.\nAnswer: a*(a + 1)*(a + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m - 11. Let k be w(9). Let c(q) = -q**3. Let r be c(k). Suppose -3*p + 26 = -4*b, 3*p - r*p - 4*b + 54 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = 19*r - 3*a + 23, 124*r + 5*a = 127*r + 47 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 47 - 310. Let k = -231 - v. Calculate the smallest common multiple of 2 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -80*g**3 + 7*g**2 + 59*g - 7. Let s(a) = -27*a**3 + 2*a**2 + 20*a - 2. Let h(y) = 7*s(y) - 2*z(y). What is the second derivative of h(c) wrt c?\nAnswer: -174*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -22681\/6 - -3795. What is the common denominator of z and (-47)\/(-21) + (-2)\/3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 599*b - 603*b - 3*m + 994 = 0, -2*b + m = -512. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3267870 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -424547 rounded to the nearest one thousand?\nAnswer: -425000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 133560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-9*x + 10 - 10)*(0 + 2 - 4)*(-2 + 6 - 3)*(5 + 6 - 2) as j + g*x and give g.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2*1 - (-2 + 0). Suppose x - 11 = q, q = 5*q - 5*x + 44. Let d = -10 - q. Sort k, d, -2 in descending order.\nAnswer: k, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -178522 or -178495?\nAnswer: -178522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 167.563 - 167.663. Let f = -32 + 63\/2. Which is bigger: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12221 - 212111?\nAnswer: -122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 529 + -542 - (4 + 39)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(2*(sqrt(170) - sqrt(170)*2))\/((2*sqrt(70))\/sqrt(7)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 828, -2, 2231 in increasing order.\nAnswer: -2, 828, 2231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -35, -40, -43, -44, -43, -40?\n\"Answer: m**2 - 8*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 302 minutes after 8:06 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 - -11. Suppose 0 = q - 3*q + n. What is the second derivative of q*a**5 - 7*a**5 + 2*a**5 - 4*a wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3298 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 2055240 by 165.\nAnswer: 12456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11 and 10351?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2723264 and 510612?\nAnswer: 8169792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ijuujiii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2206525817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 846886 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the third derivative of -a**8\/4032 - a**7\/504 + a**5\/6 - 5*a**2. Let w(k) be the third derivative of n(k). Find the second derivative of w(j) wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.04423 - -0.32423. Let s = 0.42 + -0.3. Let m = s + -0.22. Is m smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -63 divided by 4707?\nAnswer: -7\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -1 + (-3 - -6) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 PM and 11:46 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 9472, 37886, 85250, 151570, 236852, 341102, 464326?\n\"Answer: u**3 + 9469*u**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.1, 1\/3, -1, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 4125, 8080, 12033, 15984, 19933, 23880, 27825?\n\"Answer: -u**2 + 3958*u + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -11357 and -1.6214.\nAnswer: 18414.2398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v + 48. Let g be z(0). Suppose -2 = -y - g. Let u = y + 103. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b + 81. Give h(22).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/((-5508)\/270)*12\/10.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v + 4*w - 139 = 0, -5*v - 3*w = -329 + 261 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 355 minutes before 3:07 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -17*92199\nAnswer: -1567383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75 = -7*n + 65. Suppose 0 = 2*z - 7*z + n. Suppose -20 = 3*b + o - 63, b + 3 = z*o. Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 11*p = -8*p - 33, 4*o = 3*p + 48. Suppose 2 = h + 4*l, 8*h + l + o = 3*h. What is the tens digit of 2*(h\/(-1))\/(16\/500)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from dddttd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -5670 by -1.\nAnswer: 5670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -0.4, 0, -2\/11, 4, -2\/15, 24\/49?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1100 + 1101210?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -37098.1 + 37113. What is the fourth smallest value in 3, m, -13, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -696 (b) 0.09 (c) -0.2 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k - 2*k + 15. Let j be (6 - 3)\/k*11. Suppose -4*a + j + 5 = 0. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 238*c - 28*c + 89*c to the form l + q*c and give q.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-5 + (-640)\/(-125))\/(255\/(-5525))\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2331*r**4 - 5913 - 2458*r**4 + 1949 + 592*r**4 wrt r.\nAnswer: -16788*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 141 + -245. Let w be (g\/10)\/((-3)\/15). Suppose -5*c + w = -3*c. What is the highest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = a**2 + a. Let c(h) = 5*h**2 + 2*h. Let w = -8 + 10. What is w*b(g) - c(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -3*j**3 + 3*j + 3. Let b(r) be the first derivative of r**4\/4 + r**3\/3 - r + 3. Let y(c) = 2*b(c) + q(c). What are the prime factors of y(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, -5, 0.6586 in descending order.\nAnswer: 0.6586, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 927644115 divided by 3\nAnswer: 309214705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be (40\/50*5\/(-2))\/(-2). Let j be 2\/(-20)*1*2. Let d = 1 - 4. Which is the closest to k? (a) -0.3 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -69*f - 66163. Let c(w) = 8*w. Calculate c(b(u)).\nAnswer: -552*u - 529304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 9153 and 18.1743?\nAnswer: 9134.8257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -109\/117840 and -99\/2800.\nAnswer: 4124400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*p - p - 6*p - 1 + p + 1 + (-4 + 1 + 1)*(-4*p + 0*p - 2*p) + 0 + 0 - p - 2*p + 0*p + 3*p to the form o*p + j and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4387025ng to milligrams.\nAnswer: 0.0000004387025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -1343 (base 6) to base 4.\nAnswer: -11133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -9cc5 - e3?\nAnswer: -9db8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2326 and 1.65214.\nAnswer: -3842.87764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*b - 25*b = -3*h - 12, 0 = 3*b + 2*h - 9*h - 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 3 - 157*v + 152*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5252, 6, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y - 1. Let d = 18 + -18. Suppose 4*m - 16 = -d*m. Suppose 0*j - j = -m. What is c(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((w*w*(w**(1\/4)*w)\/w*w*w)\/w)\/w)\/w)\/((w*w**(-5))\/w)*(w**(-3)*w)\/(w\/w**8))\/((w\/(w\/w**(-3\/5)*w*w))**(-3\/7))**(28\/3) assuming w is positive.\nAnswer: w**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 230 and 1991938.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1a8b6 - -c?\nAnswer: 1a8c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, -40, -65, -94, -127, -164?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 77155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 8\/5 (b) 0.22 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 29*i**2 - 3*i. Calculate the least common multiple of (16\/(-3))\/((-238)\/21 + (-275)\/(-25)) and f(3).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2971564039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k + 4, 4*t + 9*k = 4*k + 5. Let n(u) = -3 + 4*u + 4 + t. Let f be n(-1). Which is the third smallest value? (a) -5 (b) f (c) 2\/3 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Find g, given that -5*g**5 - 822865*g**4 - 29618730*g**3 - 340599690*g**2 - 1332759825*g - 1665937125 = 0.\nAnswer: -164537, -15, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ojo when three letters picked without replacement from {w: 4, o: 2, j: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = n - 3*x + 17, -3*n + 7*x = 10*x + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, -2\/3, 2\/57, 39\/7, 1\/3?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -4*q - 16, -5 = 3*l - q - 21. Suppose 2*g - l*g = -64. Calculate the least common multiple of 230 and g.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of -p**4\/6 - 287*p. Let a(w) = -6*w. Give a(n(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -2*f**2 + 46*f - 86. Let y be k(2). Let m = -35 + 60. Sort m, 3, 4, y in increasing order.\nAnswer: y, 3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -286*b = -4052351 - 1325307. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (u - 16*u**3 - 26*u**3 + 0*u)*(-274*u - 264*u + 528*u) to k*u**4 + s*u**3 + i*u**2 + p*u + a and give k.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 268, 243, 206, 151, 72, -37?\n\"Answer: -i**3 - 18*i + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in -3\/4, 1\/3, 0, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2 - -2)\/8*2. Let h = 1231\/205632 - -5\/1088. Let j = h - 577\/945. Which is the closest to l? (a) j (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -5*o - 3. Let a(k) = -5*k - 4. Suppose 12*l = 24*l + 2220. Let g = -182 - l. Give g*r(y) - 2*a(y).\nAnswer: -5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 96 and 840.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -2764, 0.59, -6\/11 in ascending order.\nAnswer: -2764, -6\/11, 0.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -2*c**4 - c**3 - c**2 + c. Let r(d) = -484*d**4 - 2*d**3 - 2*d**2 - 407*d. Let m(x) = 2*q(x) - r(x). Find the second derivative of m(t) wrt t.\nAnswer: 5760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**3 - 6*x**2 - 5*x. Suppose 0 = -v + 4 + 1. Let d be 12\/(-15) + (-21)\/v. Calculate z(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 59257434 and 2526?\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let r be 1*(19874\/(-6) + 0). Let y = 3348 + r. Which is smaller: y or 37?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -44 (base 5) to base 10.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 3*s + 2. Let v(o) = -o**3 - 6*o**2 + 5*o - 21. Let m be v(-7). Let y(g) = g + 1. What is m*y(c) + 3*i(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -80.5 + 81. Let i = 7 - 6.8. Let r = 1.2 - i. What is the third biggest value in q, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-2\/5)*u\/u**(2\/11)*u*(u\/(((u\/(u*u**(-6)*u))\/u)\/u)*u)\/u**(-3\/7) assuming u is positive.\nAnswer: u**(326\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -0.1, 0.2 in descending order.\nAnswer: 8, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**3 - 23*c**2 + 9*c - 16. Is j(23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:29 AM and 5:23 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {r: 2, k: 7, f: 4, d: 2, g: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 54, 328, 1060, 2478, 4810?\n\"Answer: 38*p**3 + p**2 + 5*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-486)\/(-30))\/(30\/20))\/((-8)\/(-40)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 515*b**3*p**2*x**3 - 143*b**3*p*x - 3*b**3 - b**2*p*x**2 + 8*b**2*x**3 - 3*b*p**2*x**3 wrt p?\nAnswer: 1030*b**3*x**3 - 6*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -88065*s*u**2 - 49*s - 33490399*u**2 wrt s.\nAnswer: -88065*u**2 - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 4*s = 3*m - 28, -2*s - 44 = -4*m. Suppose 3*h - 4*p + 251 = -11, -2*h - p - 193 = 0. Let a be ((-3)\/(-4))\/(h\/32 + 3). Is a equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1600794?\nAnswer: 2, 3, 13, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = -32.5 - -36. Let g = -4 + q. Which is the biggest value? (a) 1 (b) -2\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 7*u - 5. Let p(v) = v**2 - 232*v + 692. Let s be p(3). Let x(n) = n. What is s*x(j) - c(j)?\nAnswer: -2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -149\/1008 and 97\/40?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 30*j. Suppose 0 = -11*a + 15127 - 14940. What is the remainder when x(2) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j = -21*p + 18*p - 70, 0 = -4*p - j + 14 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 112\/5327519 or -1?\nAnswer: 112\/5327519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28852 is divided by 824.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -3*l + 18. Let b be s(11). Let g(d) = d**2 + 16*d + 11. What is g(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 1800309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 61.68868 grams in micrograms?\nAnswer: 61688680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -28 - -32. Let t be -1 + z + 8 + -5. Find the first derivative of -5 + 10*g**4 - 10 + t wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 5816000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59 + y + 3*y**3 - 19*y + 15*y.\nAnswer: 3*y**3 - 3*y - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9*12\/54)\/(-2))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/5, 3\/2, -0.3, 0, 1, 1.12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1246815265*f + 6*f**3 - 1246815265*f.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*m - 3*r - 4, 5*r = -14*m + 9*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 3 - (4 + 1 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/4)\/((-263)\/(-1052)). Suppose -1 = 21*l - 64. Solve -5*f - k - z*k + 30 = 0, -14 = -l*f - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 148 and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1942 - 905. What are the prime factors of h?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 993 is divided by 320.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*f**3 - 17*f**2 - 2*f**3 + 4*f**3 + 17*f**2.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -69.71 take away 191.9031?\nAnswer: -261.6131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (4*u**2 - 13*u**2 - 4*u**2)*(-2*u**2 + 3 - 3 + (9535 - 9535 + 384*u)*(-2*u + 1 - 1)) as h + v*u + y*u**3 + a*u**2 + g*u**4 and give g.\nAnswer: 10010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 265*i - 1642 - 159 - 54 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (360\/195 - -2) + -4\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11 + -8. Let q be 2\/((-4)\/(-10))*3. Calculate the highest common divisor of t and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 3*d - 3. Let a(q) = -q - 3. Let l be a(-5). Let p be o(l). What is the units digit of ((-6)\/p)\/((-6)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 262*c**2 - c. List the prime factors of v(-1).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-108)\/(-42))\/(2360\/(-30562)) - -33\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3288103546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 428, 828, 1228, 1628, 2028, 2428?\n\"Answer: 400*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (183\/366)\/(2 - 54\/28)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -36 - -8836?\nAnswer: 8800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f - 37*b + 40*b = 3, 0 = -13*f + 16*f + 3*b + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1314 (b) 2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 4, p: 2}. What is prob of picking 2 p and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -135 - -138. Suppose -d*k - 6*z + 2*z + 13485 = 0, 0 = -2*k + 2*z + 9004. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/1*(-5)\/5. Let u(l) = l**2 + 2*l - 2. Calculate the remainder when 9 - (-3 - (-2 + s)) is divided by u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -176*v = 1097 - 460 + 1123 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:00 PM and 9:37 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1776143\/36 + 49334. What is the common denominator of s and 95\/204?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53526855761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (1 - (-4 + 1)) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 + 1221?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f - 6 - 122 = 0. Let m be -1 - (f\/4 - -1). Suppose -8*r**2 + 11*r**m - 3*r - 9*r**2 - 3*r**3 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002843 to six decimal places.\nAnswer: -0.000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the second derivative of -5*b**5\/9 + 295*b**4\/27 - 448*b**3\/27 + 88*b**2\/9 + 39*b. Factor a(q).\nAnswer: -4*(q - 11)*(5*q - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -577, -601, -625?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((3*sqrt(720) - sqrt(720)) + -3 + sqrt(720))**2*-5.\nAnswer: -3240*sqrt(5) + 97335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -257 + 255.54. Let k = j - -0.76. Is 14 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000001906 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**2 - 20*v - 14 + 16*v**4 + 16*v**3 - 2*v**2 + 6 - 3*v**2 + 4*v**5.\nAnswer: 4*(v - 1)*(v + 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 54 + -4110?\nAnswer: -4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12726 + -11933. Calculate the remainder when k is divided by 134.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-10)\/4)\/(5\/(-10)). Let b(i) = -4 - i - 2*i + i**2 + 8*i - 9*i. What is b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the third derivative of -2*a**7\/21 + a**5\/6 - 16*a**2. What is the third derivative of z(p) wrt p?\nAnswer: -480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-80)*(-5)\/2*-2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -34 (b) -6 (c) 719 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a - 19 = -2*a + 4*c, 0 = 4*a - 3*c - 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2492 - 668. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + o - 10 = 2*o, 4*b = 5*o - 5. Suppose i - b = 2. Let q(g) = 5*g - i*g + 14*g + 2*g. Let w(y) = -y. Calculate w(q(p)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-128 - -127) + 0 + 10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.003386840162 rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from duluumduukludluulmu. Give prob of picking 1 l, 1 k, and 1 u.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1286564, -2573192, -3859822, -5146454?\nAnswer: -6433088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1552 + -1647. Let z = 315 + -175. Let w = d + z. Solve -q - 5*f - 20 + 0 = 0, -4*q + w = -5*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 776*l**3 - 1171*l**3 - 1 + 1207*l**3 + 1.\nAnswer: 812*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -55, -82, -121, -178, -259, -370?\n\"Answer: -a**3 - 20*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) 49 (c) -289 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1720761068 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -318 (base 11) to base 10\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a - 2*y + 5961, 3*a - 13*y - 5979 = -9*y. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1106*h**3 - 1051 with respect to h.\nAnswer: -3318*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*(r\/((((r*r*r**4*r*r)\/r)\/r)\/r))\/r)\/r*r*r*r**(4\/7)*(r**0)**(8\/7))**8 assuming r is positive.\nAnswer: r**(-136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -7*s**3 - 18*s**2 + 6. Let a(u) = -8*u**3 - 19*u**2 + 7. Determine 6*a(f) - 7*r(f).\nAnswer: f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 103 - 97. Let m be (0 - 10)\/(1\/(-4)). Suppose m = 7*t - n*t. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -i + 434567212719712 - 434567212719712.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 8*h - 3. Let c be v(-6). Let r = c - -72. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {i: 1, v: 2, q: 7, w: 2}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be (((-6)\/(-4) - 2)*-10)\/1. Solve -4*y - 12 = s*i, y + 5*i + 3 = i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1468 + 3521. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4503\/1185*(-12)\/(-152)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-2\/11)*n*n\/n**0*(n**(-1\/3))**(20\/11) assuming n is positive.\nAnswer: n**(40\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(117)*-4)\/(sqrt(108)\/sqrt(3)) + 1)**2.\nAnswer: -8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 4, k: 1, p: 6, u: 3, d: 2}. What is prob of picking 1 k and 1 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 64040 and 80050?\nAnswer: 320200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 10294 minus 1778780?\nAnswer: -1768486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 3*i + i - 3*i. Let n(o) = -o - 5. Let v be n(-7). Suppose -3*k - 18 = -2*l - 0*k, 0 = -v*k - 8. Calculate g(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -619, -615, -597, -553, -471?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - -5 - (-4 - (-8 - -16)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 22 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1024393\/200 - 5122. Calculate the common denominator of -71\/44 and h.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1903962754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12*h*n*u - h*n + 27*h*u**2 - h*u - 3*n*u**4 + 2*u**4 wrt u?\nAnswer: 54*h - 36*n*u**2 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the first derivative of -2*m**5 + 2*m**4 - 8*m**3\/15 + 8. Determine w, given that k(w) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 1 - 4*t**2 + t + 14*t**2 + t + t**2. Let j be g(-1). Solve a + j = 6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -22033 (base 4) to base 11\nAnswer: -546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 5 + 5)*(-2*y - 26 + 26) - 3*y + 4*y - 3*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**3 + 3*f**2 - f. Suppose -4*l = -2*l + 6. Let s be t(l). Suppose -2*z = z + 5*n - 31, -s*n = 4*z - 45. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 72164348 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -21*h + 6323. Is c(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 223076 (base 13) to base 3.\nAnswer: 1111222011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8\/35 - -3\/7. What is the closest to -2\/3 in -5, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 38110, 38107, 38094, 38065, 38014?\n\"Answer: -n**3 + n**2 + n + 38109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -2*a - 7031 + 113841, -5*a - 3*u = -266947. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2 + 11*t + 41. Let s be g(17). Suppose 360 = -4*z - 2*z. Is z greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from {f: 2, b: 4, t: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -113 (base 9) to base 6.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 51946 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 705087 is divided by 117506.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-12)*81\/(-81)*-6)\/(31\/2573)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 18, 0, -104, -3, 4 in increasing order.\nAnswer: -104, -3, 0, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/48 and ((-4)\/(-80))\/((-94120)\/(-30225)).\nAnswer: 17376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 92 + 3 = 0. Let t(q) = q**3 + 20*q**2 + 2*q - 16. Is t(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/8 of a week in minutes?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 14*q**2 - 2*q - 1. Let t be c(-1). Suppose -4*p - 5*n + t = -28, -5*p + n = -32. Let j(z) = -z**2 + z - z**3 + 0*z**3 + 2*z**3 + p. Determine j(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(30)\/(sqrt(5)*3))\/sqrt(3))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes after 2:26 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 10010001 (base 2) to base 16\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 197818?\nAnswer: 2, 98909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d + 3. Let t(m) = 1. Let w(y) = 2*y**2 + 2 - y - y**3 + 2*y + 0*y**3. Let i be w(3). Determine i*t(z) + q(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(-2)\/(-8)*2\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 69.5918cm?\nAnswer: 0.695918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k + 90 - 90 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**3 + 3*x**2 - 2*x - 4. Let j be d(-3). What is the remainder when 41 is divided by ((-11)\/(-3))\/(j*1\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -13\/17? (a) -2\/11 (b) 5 (c) -10 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 3, d: 1, x: 2, g: 4}. What is prob of sequence gf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -125*j**3 - 85*j**3 - 131*j**3 - 2*j**2 - 8*j**3 - 68*j**3 - j to p + f*j + v*j**3 + h*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -313*q + 108*q - 3 + 110*q + 101*q.\nAnswer: 6*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1 (b) -2 (c) 714\/11 (d) -1 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 0. Let s(c) = 11*c**3 - 2*c**2 + c - 2. Let m(v) = -v**3 + v**2 + 1. Let y(g) = j*s(g) - 2*m(g). What is the second derivative of y(l) wrt l?\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -2*t**2. Suppose -5*i + 6 = -4. Let u(y) = -2*y - 3. Let x(p) = p + 2. Let n(s) = i*u(s) + 3*x(s). Give h(n(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sum -19.7 and 23.3.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2, 83, 3\/8, 2\/13, 10, -0.4, -82?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 182085466 + -174124\nAnswer: 181911342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -218*j - 1525. Let o be p(-7). Let z be 1 - (2 + (-7)\/5). What is the closest to o in -0.1, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 124 = 5*u, -9*a = 4*u - 4*a - 92. Suppose u*m - 29*m = -12437. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-9)\/1 - 22*((-159)\/6 + 26). Find c, given that 28\/3 - 82\/9*c - 2\/9*c**d = 0.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6805 and 458657.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -3*w**2 - 4*w - 23. Let m be b(0). Let s(c) = 4*c**2 - 68*c - 21. Is s(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 848894*q**4 + 196531*q - 4.\nAnswer: 10186728*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -3660 (base 7) to base 8.\nAnswer: -2525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19053, -38111, -57169, -76227, -95285?\nAnswer: -114343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36749 + 36741 - 110230 - z**2 + 36740.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -2*t + 15. Let u be d(10). Let v be (((-20)\/(-8))\/u)\/((-3)\/(-6)). Let b be -5 - (0 + (3 + v - 0)). Which is greater: b or -15\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 29\/386 + 5920\/2123. Calculate the common denominator of 63\/10 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1180876 (base 9) in base 7?\nAnswer: 5320443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes before 8:24 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/1 - (-1504)\/256 - (12 + 31332\/(-2592)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 751*v + 20086 = 773*v. What is the lowest common multiple of v and 166?\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.02 * 1\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3 - 8*s**2 - 11*s - 30. What is c(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12285, -12826, -13367, -13908?\nAnswer: -14449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45187*s + 3*s**2 - 10*s**2 - 161642*s.\nAnswer: -7*s**2 - 206829*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.08 in -0.5, -15, -0.2, -4\/7, -1, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be -24*(-6)\/9*(-2)\/(-8). Solve 7 = -3*l + l + 3*k, -8 = 4*l - z*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - 1 - (18\/3 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -9 - (-2 + 2 + 0). What is the common denominator of 294\/27 - (-2)\/j and 27\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 16) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 40*w**2 + 449*w + 130. Calculate z(-10).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - m - 9 = 0, v - 3*m = -8*m - 12. Solve 4 + 26 = -5*j + 5*z, v*z = -j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p - 1. Let s be 1*(2 + -1 + -8). Let o be j(s). Let z = 18 + o. What is the lowest common multiple of 4 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 416189 is divided by 69364.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19456125.\nAnswer: 3, 5, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 10 + -16 + -1 + 0 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3768 or 71610\/19?\nAnswer: 3768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 66545 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = 3*w, a + w + 0 = 4. Let s(z) = -5*z + a*z**2 + 8 - 7 + 6. Is s(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the second derivative of 11*j**5\/20 - j**4\/6 - 8*j - 7. What is the third derivative of d(c) wrt c?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 129773?\nAnswer: 7, 18539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((t*t\/t**(-9)*t)\/t)\/(t*t*t\/t**(-2\/7)))\/(t**3)**11)**(13\/4) assuming t is positive.\nAnswer: t**(-2301\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h**5\/3 + 102*h**4 - 5300*h**3 + 295000*h**2\/3 - 250000*h = 0. Calculate h.\nAnswer: 0, 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 10 - (12 - (-7 + 15))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1518629 by 78.\nAnswer: 1518629\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 132 + -132.00071. What is u rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -3*x**2 - 2*x**2 + 16*x**2 + (-2 - 2*x + 2)*(16*x + 70*x - 4*x) as t + j*x**2 + i*x and give j.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -2*l - 13. Let g be a(-5). Let p = 13 + g. Solve -p = 4*k + k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -30 - -34. Suppose -2 + 5 = -s - 5*z, s - h = 2*z. Solve r = -3*i + 10, 5*i - 22 = 3*r - s*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 273888 and 10333566?\nAnswer: 5706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -3883042 (base 9) to base 16\nAnswer: -205ed4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1771\/14)\/23*-2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3129584659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 64952012?\nAnswer: 2, 233, 69691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 - 11)*1\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 less than 1556997308?\nAnswer: 1556997323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-164)\/(-123)*-21*(-2)\/(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1*(4\/(-3))\/(32\/(-17736)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -437.862677 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of o**2*p*w - 8279*o**2*p + o**2*w + 4*o**2 - 2*o*w - 5*o - 2*p*w - 132*p + 92224*w + 1 wrt p?\nAnswer: o**2*w - 8279*o**2 - 2*w - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 71*r**2. Let d(i) = -42*i**2 - 14*i**2 + 55*i**2. Give o(d(z)).\nAnswer: 71*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -4554698\/5 less than -910940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 + 6\/(-4))*-2. Let z be (-2)\/6*-8*6. Let l = -15 + z. Calculate the highest common factor of i and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -204 + 213 = 4*m - h, -2*h - 10 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 - 46 = -3*b. Let u = b + -80. Let h be (-11)\/u + 14\/8. Solve 4*q = h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4512*j**2*l**2 + 503*j*l**2 wrt j?\nAnswer: -9024*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -80*i + 1202. Let q be w(15). Solve 0 = q*g + 4*p - 10, -8*p + 13*p - 35 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10 and 6413?\nAnswer: 64130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 8 - 5)*(4*l**5 - 5*l**5 + 0*l**5).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 12, f: 6}. Give prob of picking 1 y and 3 f.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -44*m*o**2 + 158*m + o**4 - 6 wrt o.\nAnswer: -88*m*o + 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 2260 by 10.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-64)\/4)\/((-1540)\/(-330)).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -8 - (-8 - 4\/56)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 10.80714 millennia in decades?\nAnswer: 1080.714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 + -4. Calculate the least common multiple of 14 + (j - (3 + -1)) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 4. Let k = 0.07 - 0.47. Which is the nearest to 0? (a) u (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (300\/(-144)*54\/(-45))\/((-7)\/4).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -148 divided by 1.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + 5 = -5*u, -6*w + 4*w + 10 = 5*u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -57370918 by 19.\nAnswer: -3019522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-767*o - 526 + 526 - 133*o)*(-5*o**2 + 0*o**2 + 7*o**2 + (2*o - 3 + 3)*(0*o - o + 2*o)).\nAnswer: -3600*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -11062.5 * 5.\nAnswer: -55312.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 15\/14012456 and 13\/18?\nAnswer: 126112104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the first derivative of -o**5\/60 - 2*o**4\/3 + 5*o**3\/3 - 2*o**2 + 7. Let w(k) be the second derivative of z(k). Is 11 a factor of w(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1288 - 232. What is the highest common divisor of 33 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 300776 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1624*h - 871*h - 664*h + 183*h to the form m*h + n and give m.\nAnswer: -2976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1253 + 2094. Let f = -179 + s. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the second derivative of -i**8\/168 + i**5\/15 - i**2\/2 + i. Let y(n) be the first derivative of r(n). What is the third derivative of y(f) wrt f?\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 872102278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 578509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-38528)\/(-2744) + 50 + -64.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1501175 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90*w + 739185 = -1416945. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the second derivative of -25*v**4\/6 - 113*v**3\/3 + 2*v + 113. Find the second derivative of u(r) wrt r.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -79207*f**2. Let c(j) = -3*j. Give y(c(r)).\nAnswer: -712863*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 2*o + 2986, 0 = 3*y - 5*o - 759 - 1498. Calculate the remainder when y is divided by 366.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Find the second derivative of -9148*i**5 + 1029*i - 2 wrt i.\nAnswer: -182960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1256 - -11226. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 + 25 - (2 + -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q = -5*j + 20, 3*q + 15 + 0 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 8*f**3 + f**2 - 4*f - 2. Let g(s) = -6*s**3 + 4*s + 3. Determine -3*g(y) - 2*v(y).\nAnswer: 2*y**3 - 2*y**2 - 4*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + b = 0. Suppose 2*z - 5*z = b. Solve 2*v = -z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 - 4*s. Let j be f(5). Suppose 3*b = -p - 17, 9 = -j*b - 6. Let z be 3\/(-12) + (-2)\/p. Sort -5, z, 5 in decreasing order.\nAnswer: 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -42981*r**2. Let o(d) = -12*d. Give z(o(j)).\nAnswer: -6189264*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 16, 2, -21, -2, 0 in ascending order.\nAnswer: -21, -2, 0, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s**3 + 28*s**2 - s + 38. Let g be u(28). Let k(a) = -5*a - 6*a + g*a. Let t(z) = -5*z + 1. Calculate -18*k(r) + 4*t(r).\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 3*x - 192 = 0, -5*t = -0*t - 3*x + 320. Let r be ((-40)\/12)\/((-2)\/(-39)). Let q = t - r. What is the lowest common multiple of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -15 - -13. Let t(h) = 6*h**5 + 8*h**4 - 4*h**3 + 2*h**2 + 6*h - 6. Let o(q) = -q**3 - q**2 - q + 1. Let v(m) = u*t(m) - 12*o(m). Solve v(f) = 0 for f.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 225*n + 1308. What is u(-6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -2*s**2\/3 + 10804*s\/3 - 14590802\/3 = 0. Calculate s.\nAnswer: 2701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5*v**4 - 2567*v**3 + 4*v**2 + 1780*v + 1 wrt v?\nAnswer: -120*v - 15402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 + -1216?\nAnswer: -1216.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.22 * 386.\nAnswer: -84.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -12395 divided by 3\nAnswer: -12395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 3*m + 2346 = -6550, -h + 3*m + 1772 = 0. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*j = 27*j - 327 + 15 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6136753 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/17, 1, 843, 50.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**3 - 3*c**2 - 724*c - 2*c**3 + 722*c - 2*c**2. Let t(f) = -f - 1. Let z be t(4). What is l(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1151 + 1150.986. Let g = -702.01399856 + 702. Let a = w - g. What is a rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in fifteen quarters of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 10121872051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14674 - -14694. Solve h*o - 2*o + 108 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xwssswxxssxxx. What is prob of sequence xsw?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = -6*o + 3*o + 2*i, -5*i = -o - 20. Let v(c) = -9*c**3 + 11*c + 29. Is v(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p - p = 0. Let n(f) = 2*f**2 - 2*f**2 + 3*f**2 + p*f**2. Let q(h) = 2*h**2. Determine n(q(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19385, -19392, -19403, -19418?\nAnswer: -19437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*a + 111 = 111 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 + -7?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3, -10, 2, 1, -201, -13.\nAnswer: -201, -13, -10, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**2 + 15*b - 3. Suppose 8 = 2*m - 2*w - 2*w, -3*w = -3*m + 24. Calculate the remainder when h(12) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3, -32, -5 in decreasing order.\nAnswer: 4, 3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-2)*p**10)\/(p**(1\/6)\/(p\/(p*p**(-2\/27))*p)) assuming p is positive.\nAnswer: p**(535\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*r + 3 + 23. Solve -3*g = -r*s + 12, -33 + 8 = 5*g - 5*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43907795527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 12669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 - 3)*(32*l**5 - 15*l**5 + 3*l**5) + 2*l**5 - 5*l**2 + 2*l + 4*l**2 + l.\nAnswer: -18*l**5 - l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 213351, 213521, 213693, 213867, 214043, 214221, 214401?\n\"Answer: y**2 + 167*y + 213183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 77 + -79. Let z = -17.09 + 18. Which is the third smallest value? (a) z (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.6 times -0.0358?\nAnswer: 0.20048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x + b - 140, 0*b - 83 = -2*x + 5*b. Let g = 49 - x. Suppose 3*v + 0*w - w = 16, -4*v + w = -g. Solve 0 = 4*m + t + 7, -5*m = -t + v*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*l - 70 = -37*l. Which is the second smallest value? (a) l (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 730.1 + -729.7. Which is the second biggest value? (a) -5 (b) -0.7 (c) 2\/11 (d) x (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, n: 3, b: 1, h: 2}. Give prob of sequence bnj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.43 (b) -0.26 (c) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z*z**(-25)\/z)\/z)\/z*(z*z*z**11)\/z)**(-3\/5) assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d**(-5\/4)*d)\/d**(-7\/2))\/((d*d*d*d**(3\/8)*d)\/(d*d\/((d*d**(-2\/35)*d*d)\/d)*d)))**(-2) assuming d is positive.\nAnswer: d**(-261\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**3 - 2 - 16*k**2 + 0 + 15*k**2. Give h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -380*g**2 + 380*g**2 + 7*g**4 - 25 - 119 - 51*g**4 wrt g?\nAnswer: -176*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/((-6)\/(-2))*39\/((-429)\/(-158620)) a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*a - 11*a + 2*t = 14, -a + t - 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 65582.6 - 65582. Let y = 1.6 + -2. Which is the nearest to -1? (a) y (b) 0.1 (c) -4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * 265.\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 2*s = -9, 10 = -2*l - 5*s + 1. Let p(h) = 2 - 2*h**2 + 386*h - 3*h**l + 2*h**3 + h**2 - 382*h. Let a be p(-3). Let w(j) = j - 6. Determine w(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - -19 - (-4 + -20 + 26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 7 (b) -2\/3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -44, 1, 3, 5 in decreasing order.\nAnswer: 5, 3, 1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 10121399, 10121379, 10121339, 10121273, 10121175, 10121039?\n\"Answer: -t**3 - 4*t**2 - t + 10121405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 5*y - 10, -2*y + 3*m - 6*m - 6 = 0. Suppose 5*w = 2*w. Let w*p - 2\/11*p**2 + y - 2\/11*p**3 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-126)\/108*(-112)\/392*1\/((-2)\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 235863826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18235.\nAnswer: 5, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9892615.\nAnswer: 5, 1978523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 1 e when three letters picked without replacement from ewswsswsessssfwwfw.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-72)*8)\/(((-20)\/5)\/(-24))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-9)\/(-60))\/(2448\/37060) and -7\/222.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -5, 341 in decreasing order.\nAnswer: 341, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 55135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 + -1)\/(-4) - -246. Let a = -167 + k. Find the third derivative of y**2 - 79*y**4 - 4*y**6 + a*y**4 wrt y.\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3*h*r**2*v - 11*h*v - 30*r**2*v wrt h?\nAnswer: -3*r**2*v - 11*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1433 + -1435. Put -0.3, 5, 2.33, r in descending order.\nAnswer: 5, 2.33, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v = -5*l + 2*l + 31, -5*l - 5*v = -5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14618466 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrttrtrrtdrr.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -602*a = -610*a + 32. Let f(t) be the first derivative of -t**3 + 0*t**2 + 0*t - 3\/5*t**5 - 5 + 0*t**a. What is the third derivative of f(o) wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -29, 0, -8 in descending order.\nAnswer: 8, 0, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s + 60. Let k be ((-6)\/(-5))\/(3\/(-50)). What is the remainder when d(k) is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h - 10 = 5*o, -3*h - o + 21 - 11 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 25433 - 16193. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -21730*j**2 + 4*j. Let r(h) = -36*h - 3. Give r(a(m)).\nAnswer: 782280*m**2 - 144*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*35923.\nAnswer: 10776.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 149172320?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**11*z)\/z)\/(z\/z**(-8)))\/(z\/z**5*z*z**(-2\/11)) assuming z is positive.\nAnswer: z**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be -2*1 + (-72)\/(-18). Suppose -2*q + 101 = 5*o, 3*o = 4*q - q + 69. Find the third derivative of 15*x**5 - 2*x**3 + o*x**2 + c*x**3 - 3*x**2 wrt x.\nAnswer: 900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 51\/38936 and -63\/18270718.\nAnswer: 73082872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**3 + 14*r**2 - 10*r - 32. Let s be t(13). Let q(n) = n - 5. Calculate the lowest common multiple of q(s) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**2 + 4*j. Let c be y(7). Let p be (-159)\/c + 12\/(-21). Solve 3*b - 20 = -4*l, -p*l - 3*b + 25 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**3 - 81*t**2 + 1295*t + 175. Let k be n(59). Let s be ((-1)\/3)\/((-1)\/15). Which is the third smallest value? (a) s (b) k (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 2*c**3 - 10*c**2 + 30*c - 558. What is the tens digit of r(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -101\/574 and -59\/574.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - -1 - 0) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -10*r + 70. Give o(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 9 = -5, -4*r + 22 = 2*o. Let t(k) = -23*k - 17. Let v(m) = 11*m + 8. Give r*t(a) + 13*v(a).\nAnswer: 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -4\/13, -3, -3\/2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 6 + 9 - (-20 + 27)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 164 = -10*q + 14*q - 5*p, 2*p + 116 = 3*q. Suppose -4*i + 49 = -27. What is the remainder when q is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4210291, 8420596, 12630901?\nAnswer: 16841206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 384 = 5*y - y. Let k = 765\/8 - y. What is the second smallest value in -0.5, k, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 312255?\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 77*z - 4925. Give x(64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*m**6 + 24*m**3 + 3*m**2 - 18*m wrt m?\nAnswer: -360*m**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -142*m**2 - 15*m - 47. Let q(t) = -214*t**2 - 24*t - 71. What is 8*i(v) - 5*q(v)?\nAnswer: -66*v**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*s + 4*l = 69*s + 66, -5*l = -15 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 133721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*i**3*x**3 - 3*i**3*x + 2*i**3 + 9*i**2*x**3 + 141*i**2*x - 2*i*x + 87*x**3 wrt x?\nAnswer: -12*i**3*x + 54*i**2*x + 522*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -11*l**2 + 17*l + 25. Let d(o) = -19*o**2 + 32*o + 46. Let y(r) = 4*d(r) - 7*u(r). Suppose 4*g = 19 - 3. Let w = -10 + g. Determine y(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 6, 6, 26, 84, 198, 386, 666?\n\"Answer: 3*c**3 - 8*c**2 + 3*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -208*(-3 + 0)*(-1)\/(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 - -7. Let j = -419\/548 + 2\/137. Which is the biggest value? (a) 0.1 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -37 - -168. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 133455672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -89, -42, 19, 94, 183, 286?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3080874 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o - 10 = 2*o. Let b be (-1)\/o - 2\/(-4)*1. Let h be 1\/(2*-1)*-8. Solve b*c = h*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*x + 3*x = 54 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 953797109*t + 14*t**3 - 953797109*t.\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 7269088140 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2581069181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -4, 0.5, 118, -104 in descending order.\nAnswer: 118, 0.5, -4, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from wwimiqnmp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -25*p + 46*p - 63 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, 10, 47, 104, 181, 278?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 5*m**3 + 4425*m**2 + 976815*m - 981245 = 0. Calculate m.\nAnswer: -443, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**2 - 595*u + 84979. What is a(119)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63 is divided by 286\/4*(-672)\/(-1232).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -35\/6, 6.45, -2, 0.071, 3?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 0*f + 24 = 0. Let v = -201 - -376. Suppose 5*g - 2*g + 4*l = v, -5*g + 3*l = -253. What is the remainder when g is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10878644?\nAnswer: 2, 7, 31, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2103 + -66?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 + 2. Let i(g) = -3*g**2 + 14*g - 25. Let y be i(11). Let n be (-8)\/(-52) + 75\/y. Which is the third smallest value? (a) 5 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t**2 + 13*t - 2. Let m be n(12). Suppose 1 = 3*f + m. What is the biggest value in 0.3, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 16638 + -16649. Put 2, -582, m, 0.2 in increasing order.\nAnswer: -582, m, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -65\/894957 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -4\/7, 2.3, -20, 2\/17, 0.05, -0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -60 at most as big as -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum 16.851 and 1.\nAnswer: 17.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 2*o + 34205 = 96140, -r + 12369 = -4*o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5877 is divided by (-137613)\/(-819) + (-8)\/312?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q - 2. Let y be c(6). Suppose -6 = -s - 2. Find the second derivative of 3*j + s*j**y - 7*j - 2*j**4 wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(114)*-1 - sqrt(114))\/sqrt(2))\/sqrt(3).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*j**4 - 2 - 2*j**2 - 7*j**3 - 15*j**4 + 6*j + 5*j**3 to the form f*j**4 + c*j + g + s*j**3 + z*j**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 120 divided by 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3780530 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -124 + 60. Let c be 1 + -3 + w\/(-30). Let p = 1.9 + -2.3. What is the second smallest value in p, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that -2*z**4\/7 + 6*z**3\/7 + 236*z**2\/7 + 936*z\/7 + 144 = 0.\nAnswer: -6, -3, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2568, -5134, -7700, -10266, -12832, -15398?\nAnswer: -17964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -16*n**3 - 574*n**2 - 2104*n - 2040 = 0.\nAnswer: -255\/8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -29 + 29.09. Let l = 0.11 + h. What is the closest to 0 in l, 0, -5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i + 2. Let a(l) = -2*l - 14. Determine a(z) + 5*r(z).\nAnswer: 3*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 4*i. Let g(o) = -o. Let c(j) = j**2 + j. Suppose 13 = -5*n + 4*l, -3*n + 8*n = -l - 3. Let t(f) = n*g(f) - c(f). What is t(k(x))?\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of -2*y**2 + 56*y - 25. Let v be o(12). Solve -r + 12 = -2*b - 6*r, 0 = -2*r - v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -109300, -109301, -109302, -109303, -109304, -109305?\n\"Answer: -a - 109299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**4 - 951*g**3 - 1911*g**2 - 957*g.\nAnswer: 3*g*(g - 319)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -4580 rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 219028.5 meters to nanometers.\nAnswer: 219028500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, c: 1, s: 1, v: 1, e: 5, w: 3}. Give prob of picking 1 e and 1 w.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 25308207 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8769723 or -8769724?\nAnswer: -8769724","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 207268 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3\/17416 + -15131\/626976. Calculate the common denominator of 11\/8 and j.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 24716 = 2*r, -4*r + 16652 + 3132 = 4*u. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, d: 2, y: 1, u: 1, z: 1, o: 2}. What is prob of picking 1 z and 2 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes after 10:07 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 13786636 + 0.54408.\nAnswer: 13786636.54408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1611 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1155276 and 141876.\nAnswer: 8086932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.21 + -1. Let h = 0.14 - y. What is h rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 60 = -0*c. Calculate the highest common divisor of c and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the second derivative of 1\/96*c**4 + 0 - 44*c + 441\/16*c**2 + 7\/8*c**3. Determine l so that a(l) = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6832872 divided by -387?\nAnswer: -17656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**(1\/2)\/k)\/k)**(-31))**(-1\/9)\/((k**(3\/4)*k**(2\/7))\/(k*k**(1\/8)*k**(3\/5))) assuming k is positive.\nAnswer: k**(-3761\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in 38, -5, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 133 a factor of 13832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 PM and 7:16 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*f + 13246 + 3359 = -388*f for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Round -0.00014973 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n = 21, -l + 170 = -0*l + 4*n + 200 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -86467000 rounded to the nearest one hundred thousand?\nAnswer: -86500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2\/4)\/((-3)\/(-4)). Let o = -28964\/3 + 9658. Let -b*w**4 - 6*w**2 - 4\/3 - o*w**3 - 14\/3*w = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9082022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 0 + 2)*(-244*l + 44*l + 65*l)*(-2 + 0 + 3)*(4*l + l - l)*(-4 + 4 - 1).\nAnswer: -2160*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 116*q**2 - 19*q**2 + 335*q**2 + 23 + 57 + 15*q. Is h(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2139.028 kilograms to grams.\nAnswer: 2139028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (31 - 34*g + 36 - 63)*(-146 + 274*g + 146).\nAnswer: -9316*g**2 + 1096*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.22 + -54.22. Which is smaller: -0.2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes after 4:38 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f\/f**(-14)*f)\/((f\/f**(-22)*f)\/f))**47 assuming f is positive.\nAnswer: f**(-282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -i + 2*i**4 - 4*i**4 - 3*i**2 - 1 + i**2 + 3 to the form h*i**4 + y*i + r + o*i**3 + n*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2394122?\nAnswer: 2, 37, 32353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 40 + -21. Suppose 56*j + 17*j - 292 = 0. Solve 0 = -5*k - j*m + u, -4*m - 2 + 3 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from fdv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be 104\/16 - 2\/(-4). Let f = g + -9. Let c be ((-4400)\/(-6))\/(f\/(-4200)). What is c rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -5*p + 2. Is p\/(5 + -3) - -32 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -190*p - 1277 - 1581 = 5175 - 1193 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -25714, -25835, -25956, -26077, -26198?\nAnswer: -26319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 76\/5 of a kilogram in grams?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3586*x**4 - 5223*x**2 wrt x?\nAnswer: 86064*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 1236218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -5*j. Suppose t + 2 = -t. Let z be q(t). Let o be (-2 - -1) + -5 + 2. Put 2, o, z in decreasing order.\nAnswer: z, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -779*o - 1648. Let t be i(-2). Suppose -4*h = -3*d + 6, 2*d + 3*h - 2 = 2. Sort 1, t, d in increasing order.\nAnswer: t, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -82818*m - 5643 = -82647*m for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-8)\/(-4) - 8 - -4. Let a(j) = 2*j**2 + 2*j - 2. Let v be a(f). What is the first derivative of -33 - 12*d**2 + 18 + 0*d**v wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 3 = 0, -2*d + 15 = -b + d. Let v = b - -9. Suppose -5*o - 18 = 2. Put v, -1, o in increasing order.\nAnswer: o, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/220374 and 29\/81620?\nAnswer: 2203740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 - 39\/6) + (-2)\/(-4). Is (-4)\/(-18) + (280770\/(-54))\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 12*s - 75. Let l(g) = -14*g + 90. Let a(o) = -6*h(o) - 5*l(o). Let p(m) = 4969*m. What is p(a(u))?\nAnswer: -9938*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 132608 and 7826.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -20, 0.7 in increasing order.\nAnswer: -20, -0.4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -97752 (b) 3\/2 (c) 2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the first derivative of -b**4\/4 + 4*b**2 - 4*b - 1. Let t be l(3). Is 1 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -286 divided by 2?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-10)\/(-14))\/(10\/35)*2. Solve -2*o = y*t - 16, 2*o - 4*o + 5*t - 24 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3149, -9081, -15003, -20915, -26817, -32709, -38591?\n\"Answer: 5*r**2 - 5947*r + 2793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 67 - 67. Solve 5 = 5*z - v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**3 - 2*w**2 - 4*w + 3. Let m be r(3). Let x(v) = v**2 + 6*v + 5. Let h be x(-4). Let g be -2*3\/6*h. Solve g*y - 1 = -2*s, y + m*s = -3*s + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 102844 and 4792.\nAnswer: 123207112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, -38, 3, -0.1?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j - j**3 + 14*j**2 + 11 - 2 + 13*j - 21*j**2 - j. What is i(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.1 or -8\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -2*j - 2. Let t be 2*1\/(-8) - (-56)\/(-32). Let o(h) = h + 1. Determine t*l(y) - 2*o(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:43 PM and 10:08 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5429\/30 - 904\/5. Let i(w) be the second derivative of u*w**4 + 0 + 4*w**2 - 5\/3*w**3 - 5*w. Factor i(o).\nAnswer: 2*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3302 + 34?\nAnswer: -3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 23\/240 and -68\/277071?\nAnswer: 22165680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 8 (b) 1 (c) -4 (d) -9036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 11112 (base 5) to base 11.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2354b7 + 2?\nAnswer: -2354b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 3+-0.094043200482\nAnswer: 2.905956799518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 1338 = 1578. Solve -3*r - i = -42 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 + -114?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 25 = 2. Let u = a + 30. Is 42\/25 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, 13, 9, 12\/17 in descending order.\nAnswer: 13, 9, 12\/17, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 42688000 rounded to the nearest one hundred thousand?\nAnswer: 42700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*k + 0*k - 4*k + 2*k - 2*k - 2*k + (0*k - 5*k + 4*k)*(-1 - 2 + 5) - k + 0*k + 0*k + 0*k - 4*k + 2*k + 70 - 70 - 23*k)*(4 - 4 + 1)*(-3*k + 0 + 0).\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add together -1 and 20.078.\nAnswer: 19.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be 14\/5*10\/4. Let q be w\/(-2)*12\/(-14). Solve 3*f + 3*h + 16 = 2*h, 3*h + q = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 60\/(-25)*(-1 + -4). Calculate the greatest common divisor of k and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 8, 0, -1, 0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -520 - -358. What are the prime factors of s\/10*(-8 - (2 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 506485483 and 458?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52250 is divided by 13010?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 22 + 35. Let z = -40 + u. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55600 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 8820683329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138*r + 147*r = 26028. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g**5 + 78*g**4 + 1254*g**3 - 2708*g**2 - 24135*g - 20250 = 0. Calculate g.\nAnswer: -54, -25, -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -10*t + 204. Let k be i(20). Suppose 0 = 7*z - 8*z + k*l + 367, -4*l = -5*z + 1835. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a + 4. Let f be h(-7). Is f > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fleeleeevelvf. Give prob of sequence vv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 + 4 - (38 + -31). Suppose 2*q + 22 = 5*y, -5*q = 5*y - 11 - 4. Suppose -5 = y*k + 3. Sort k, m, 1 in descending order.\nAnswer: 1, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor m**3\/5 - 30716*m**2\/5 + 61429*m\/5 - 30714\/5.\nAnswer: (m - 30714)*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 148*q = -1605 - 3575 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -83, -206, -267, -236, -83, 222?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 38 + -40. Let q = -45 - -48. Let r = -4 + q. What is the second smallest value in -3, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the second derivative of b**4\/12 + 5*b**3\/2 + 2*b**2 - 8*b. Let n be j(-15). Suppose n*t - 5*o = 3*t + 31, 4*t - 3*o - 56 = 0. Is 9 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 21\/110 + 47\/330. Let i = -304 + 306. What is the nearest to 2\/3 in 4\/7, g, -18\/5, i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f**3 - 15*f**2 + 13*f + 13. Let r be a(14). Is r greater than or equal to -1\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 549101462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2*v. Suppose 4*q - 4*u = 4, -u = -2*q + 6 - 0. Suppose q*r - 30 = -5. Let p(c) = r*c - 5*c + c - 2*c. Give w(p(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ewwwjpwwejep. What is prob of sequence wwew?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 31 + 23 - 2118\/39?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the third derivative of 1591667*c**4\/8 + 4*c**3\/3 - 4*c**2. Let i be m(-8). What is i rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 0 (b) -2 (c) -223 (d) 8 (e) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 486783.\nAnswer: 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**2 + 11*b - 10. Let k(d) = -d**2 - d + 2. Let z be k(2). Let w = 12 + z. What is the tens digit of t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1533142 (base 6) to base 3.\nAnswer: -11120122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 3*u**2 - 2*u + 13. Let v(c) = 2*c**2 - c + 6. Let i(z) = 3*r(z) - 5*v(z). Let x be i(3). Sort x, 0.4, -10 in decreasing order.\nAnswer: 0.4, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 8*b**3 - 6*b**2 + 60*b - 5. Let p(x) = -10*x**3 + 7*x**2 - 59*x + 6. What is 5*p(h) + 6*s(h)?\nAnswer: -2*h**3 - h**2 + 65*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 - -5. Let b be z\/((-82)\/40 + 2). What is the units digit of 3*-2*b\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**12*i**(-1\/16)\/i)\/((i\/i**23)\/(i\/i**10)) assuming i is positive.\nAnswer: i**(383\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - 12 - 2) + (-4 - 2) + -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/(-14) - (-6 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.07 + -0.23. Let z = -7.56 + -7.5. Let u = z - -15. What is the second smallest value in o, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the second derivative of 25*j + 13\/6*j**4 + 0*j**3 + 0 + 0*j**5 + 4\/21*j**7 + 0*j**6 + 0*j**2. Find the third derivative of u(i) wrt i.\nAnswer: 480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*x**2 + 2*x**2 - 2*x**2)*(2*x - 2*x + x - x + 0*x - 3*x + (-1 + 0 - 1)*(-2*x - 2*x + x)) in the form j*x**3 + d*x + r*x**2 + h and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(11)*-2 + sqrt(11))**2 + 0) - (sqrt(1100) - (sqrt(1100) + (1 + sqrt(1100))**2)).\nAnswer: 20*sqrt(11) + 1112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2*(-6)\/(-24)*1*7282 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 - 20.9986. What is q rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 4*j + 48 = 0. Let c = j - 9. Solve -4*t + 5*q + 7 = 0, -4 = -c*t + 2*t - q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnfzzflnlzffyynznzn. Give prob of sequence nn.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -11304 (base 5) to base 14\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - (-2 + 19))*-2. Let p = i - 16. Suppose 2*h - 10 = -4*v + p, 2*h - 9 = v. Solve 5*x + h = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 6*h - 19. Let i be m(4). Suppose -2*b + i = -5, y = -3*b + 43. Suppose 11 = s + 4. Calculate the highest common factor of s and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 138 = -b, -6*o = -28*b + 31*b - 351. Solve 22 = 120*r - b*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -7 (base 16) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -77\/30 and -99\/1502.\nAnswer: 22530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 283*q - 72*q - 4642 = 0. Calculate the greatest common factor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3233112679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -15 + m**3 + 19*m + 19 + 35 + 17*m**2 - 8. Give a(-16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 119, 67, 11, -49, -113?\n\"Answer: -2*r**2 - 46*r + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 185579.\nAnswer: 151, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(2*sqrt(19) - sqrt(19)) - sqrt(19)) + sqrt(76)*-1)**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-15)\/20)\/(90\/48)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-77)\/20 - 3708\/24720.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 247703586 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be -7 + 7 + 104\/1. Let u = 167 + r. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4 + 5 + (1 - 3). Differentiate -2*d + 22 - y - d + 4*d wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 99*x**2 + 17731*x + 19399. Determine n(-178).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**2 + 6*q + 164. Suppose 2*y - 3*k + 35 = 0, -5*y = 3*k + k + 30. Let g be v(y). Solve -3*r + 29 = -6*r + 5*i, g*i = 4*r + 28 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000002144 rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 0 + 292\/((-11)\/(22\/(-4))) and 4.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p**4 + 430106*p**3 + 1720436*p**2 + 1720440*p = 0. Calculate p.\nAnswer: -2, 0, 430110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -44664.93 and -1.83?\nAnswer: 81736.8219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**3\/7 - 1394*r**2 + 11907198*r\/7 - 11897442\/7.\nAnswer: 2*(r - 2439)**2*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 471.191 to the nearest 10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (32 - 3*f - 32)*((-2 + 1 + 4)*(-1 - 3 + 5) + 5 + 4 - 6)*(3*f**2 + 0*f**2 - 5*f**2).\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.6 + 0.3. Let l = p + 0.1. Suppose 0 = 4*a + 3*i - 15, -3*a + 0*a + i = 5. What is the third smallest value in l, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 2 x when three letters picked without replacement from zxyziiiikixzii.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 136421 is divided by 1844?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -4*i**2 - 1271*i - 7118. Determine y(-312).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 11 + -15. Let b = 4 + h. Sort -3, b, -5.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 9) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 49 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be 55 + (1 - (-1 + 3)). Suppose -3*f - 19 - 38 = 0. Let h = f + u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 27*f**4*l + 5*f**4 - 1071*f**3*l - f**3 + 8*f**2*l - 3*f*l + 18379*l - 2 wrt f.\nAnswer: 648*f*l + 120*f - 6426*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 26*p**4 + 9*p**3 + 9*p**2 + 9*p - 85. Let x(g) = 13*g**4 + 4*g**3 + 4*g**2 + 4*g - 42. Let m(q) = -4*i(q) + 9*x(q). Differentiate m(t) wrt t.\nAnswer: 52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 285320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 39917.2l?\nAnswer: 39917200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + -1215025521?\nAnswer: -1215025523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-8*g**3 + 2*g**3 + 4*g**3)*(1 + 3 - 3) - 3*g**3 + 5*g**3 - 5*g**3)*((-20 + 6 + 2)*(g - 5*g + 2*g) - 3*g - 2 - 3 + 3).\nAnswer: -105*g**4 + 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*u - 721*u - 2340 + 2340.\nAnswer: -716*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 14*n**5 - 3448*n**4 - 30*n**2 + 1415*n + 4168?\nAnswer: 280*n**3 - 41376*n**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*((sqrt(102) + 2*sqrt(102) + sqrt(102))*-3)\/sqrt(6))**2*-3*-3.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -25 (base 16) to base 3.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 24 + -26. Let h = -18 + a. Let j = h + 20.000102. What is j rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from guz. Give prob of picking 1 z and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.05 + -0.35. Let i = 3.5 + -4. Which is the second biggest value? (a) i (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (34\/(-7) - -5)*(-2 + 0)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 3*b = -347, -b + 271 = 4*f - 56. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.6 times -23821843?\nAnswer: 38114948.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 2896 = 4*u + c, 0 = 5*u + 4*c - 3618. Let j be (2 + 1)\/(-6)*(10 + u). Let k = 3299 - j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 608330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2044)\/2555)\/(22\/5). Let z = 12.743 + 0.057. Put -0.2, m, z in ascending order.\nAnswer: -0.2, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11262119 is divided by 2761.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6382*t**4 - 6366*t + 1 wrt t.\nAnswer: -76584*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-664)\/16 + 5)\/(2\/(-4)). Suppose -3*i + 5 = -h. What is the remainder when i is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1675 - 1084 + 651)*(2*z - 2*z**2 - 2*z)*(3*z - 5*z + 4*z) to f*z**3 + p*z**2 + y + j*z and give f.\nAnswer: 8432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:13 AM and 3:43 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44400 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 536\/6*((-27)\/2)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*f - 82 = 5*x + 23*f, -8 = x + 2*f. Let b(m) = m**2 + 3*m - 147. Let p be b(x). Solve 3*d = p*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = u + 3*d + 8, 506*d = -2*u + 508*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g\/(g*g*(g\/g**(2\/9))\/g))\/(g*(g**(1\/4)*g)\/g)*g**(-1\/6)*g*g\/g**(-3\/5) assuming g is positive.\nAnswer: g**(253\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/54 and 65\/732.\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 982835000 to the nearest one million.\nAnswer: 983000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 - 6342?\nAnswer: -6342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor x**4\/2 - 6*x**3 + 21*x**2\/2 - 5*x.\nAnswer: x*(x - 10)*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**3 - 6*i**2 - 50*i + 251. Calculate the remainder when -1 - (-642)\/(1 + 1) is divided by r(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 14 + 16b?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/((20 + -10)\/2). Put -1\/4, 4\/5, -20, z in ascending order.\nAnswer: -20, -1\/4, z, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o**2\/7 + 26657524*o\/7 - 88827948226322\/7 = 0 for o.\nAnswer: 6664381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 - 1735\/(-135) - 5)\/((-8)\/(-12))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, s: 8, d: 1, t: 4, o: 2}. Give prob of sequence sk.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 416 and 22.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/((-6)\/(-14)*(-399)\/(-114)). Let d = -4.9 + 5. What is the nearest to d in 2\/3, -1, 5, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 271, 546, 821?\n\"Answer: 275*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the first derivative of -o**4\/4 + 11*o**3\/3 - 11*o**2\/2 + 15*o + 21. Let q(n) = -n**3 + n + 10. Let r be q(0). What are the prime factors of s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 8463 and 39.88.\nAnswer: 337504.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 21210021110121 - 10?\nAnswer: 21210021110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 27.1 - 27. Which is the nearest to -1\/2? (a) h (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 19*u**3 - 2*u**2 + u. Let z be b(1). Let m be (-2)\/9 + (-104)\/z. Let j be (-4)\/(-6)*9\/m. Is 2\/13 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(275) + -1)**2.\nAnswer: -10*sqrt(11) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the third derivative of -1\/70*t**7 + 1\/4*t**4 + 5*t**2 + 3\/20*t**5 + 0*t**6 + 0*t**3 + 0 + 0*t. Factor f(z).\nAnswer: -3*z*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 839788823*m**3 + 10*m**2 - 51461385*m wrt m?\nAnswer: 5038732938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 15 and 2665?\nAnswer: 7995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find h such that h**5 - 57*h**4 - 178*h**3 - 120*h**2 = 0.\nAnswer: -2, -1, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/5 + 46\/(-5). Let s be (2 - 2*11)*-1. Let u = b + s. Calculate the remainder when 31 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -8*n + 66. Suppose -3*w + 7 = 5*h, -3*w + 6*h + 47 = h. What is k(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b + 1 - 1)*(2*b + 0 + 0) - 7*b**2 - 4*b**2 + 3*b**2 - b**2 + 0*b**2 + 4*b**2 + (3*b**2 - 2*b**2 - 2*b**2)*(-2 + 4 + 0) + 7 - 6 - 4 - 3*b**2.\nAnswer: -6*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 622818366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u - 1105 - 2*u + 2*u + 1102. Suppose -3*s - m - 3*m = -1, 5*s = -m + 13. Let o be a(s). Solve -11 = -j - 2*f, 2 = j - f - o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5903 - 1153 = -47*f + 297*f. Let s = -0.23 - 0.07. What is the smallest value in -0.5, s, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 215169239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -667 - -364. Let h = 582 + q. Is 31 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -272305 or -272302?\nAnswer: -272305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 2.124, 0.3 in increasing order.\nAnswer: 0.3, 1, 2.124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -319*t - 3. What are the prime factors of q(-1)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -278 - -496 - (182 + -46)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 6525 - 4650?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -31, -42, -47, -46?\n\"Answer: 3*t**2 - 20*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 16*o**3 + 2*o - 2. Let b(z) = 53*z**2 - 22*z**2 + 7 - 7*z - 14*z**2 - 48*z**3 - 18*z**2. Give 2*b(t) + 7*v(t).\nAnswer: 16*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5300748 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 13*n + 4*n**3 - 3*n - 20 - 2*n**3 - 48*n - 16*n**2.\nAnswer: 2*(n - 10)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 42 = 2. Let y = n - -27. Let p = -53\/4 - y. Is 1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2756665591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/52? (a) -4 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -529\/6 - -88. Let s = -490 + 490. Sort y, s, -10\/13 in descending order.\nAnswer: s, y, -10\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7020*i**3 - 3 - 7022*i**3 + 13697*i**3 + 3.\nAnswer: -345*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -951720, -1904543, -2857366, -3810189?\n\"Answer: -952823*r + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 8636733, 17273468, 25910199, 34546926, 43183649?\n\"Answer: -2*g**2 + 8636741*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 121 divided by -5?\nAnswer: -121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 7*l + 15*l + 13*l + 2 - 42*l as z + p*l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -132 - -132. Suppose 8 = g + 4*z, v = 5*g - 10*g + 3*z + 86. Calculate the lowest common multiple of -1 + 2\/((-2)\/(-23)) and g.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Sort -2, 279, -1\/103, -1\/8, 15 in ascending order.\nAnswer: -2, -1\/8, -1\/103, 15, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 120.1 + -112?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3589087421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**0*f)**(2\/31)*f**(-4\/3)\/f**(-1\/2))**(-49) assuming f is positive.\nAnswer: f**(7007\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000024301 to 7 decimal places.\nAnswer: 0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -35186 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r = 2*f + 4 + 6, 0 = -5*f - 4*r - 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*i**2 - 17*i**2 + 36*i**2.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 54*x - 25*x + 2*x**3 - 2*x**2 - 27*x as y*x**3 + m*x + t*x**2 + g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 2*g + 16 + 6 = 0, 0 = -4*m - 4*g + 16. Let t be (-4)\/m*70\/(-100). What is the second smallest value in t, 3\/5, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and -2.7?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*b**2 + 606 - 606 + 12*b.\nAnswer: -27*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -154, -162, -182, -220, -282, -374, -502?\n\"Answer: -g**3 - g - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 22\/7 (b) -0.27 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.30947 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 25 + (43 - 14) - 67?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1854150359?\nAnswer: 19, 23, 4242907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (-1 - 2) + -4 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5490 - 4716 - 4645 + 2*q.\nAnswer: 2*q - 3871","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 357 and 49.\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - 2) + -9 + 8 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 4205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes after 9:39 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*p = -29*p - 5736. List the prime factors of p.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1432855 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nkn when three letters picked without replacement from {n: 12, k: 2, j: 3}?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.052 and 0.051?\nAnswer: 0.002652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 11 at least as big as 106\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 2*s**2 - 10*s + 7. Determine l(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 - l**2 - 1. Let r(b) = -587*b**3 - b**2 + 2*b - 1. Determine r(s) - x(s).\nAnswer: -588*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 16852 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzzz. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -2779 - 318.8863215.\nAnswer: -3097.8863215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = 3*i - 5 - 100, -3*y = i - 40. What is the remainder when 117 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x**2. Let s(n) = -23*n - 25*n + 25*n + 10 - 15 - 41*n. Give s(c(q)).\nAnswer: -128*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -170*h - 624 = -174*h. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1223 + 2187. Let u = -576 + r. List the prime factors of u.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 13427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4637 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lurt when four letters picked without replacement from lltruuurmtltlrlttt.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be (16\/(-22))\/4 - (-1680)\/44. What is the greatest common divisor of r and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 77712487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 60*n - 776. Suppose 5*m = 3*k + 4*m - 43, 5*k - 61 = -m. Give a(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s. Let w = 13 + -9. Let y(o) = -6*o + o - 3*o + w*o. Calculate m(y(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*n - l - 57 = 14*n, -55*n = -53*n + 3*l - 69 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1060)\/(-1470) - 1\/(-3). Let m = -10261\/3234 - q. Calculate the common denominator of m and -51\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 42917, 0.15, -18, -5.\nAnswer: -18, -5, 0.15, 3, 42917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 19805 divided by 5?\nAnswer: 3961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes before 9:21 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 + -2 - (106 + -107)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 134*p**2 + 145*p wrt p.\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 15) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 15 = 3*p, -5*x = 4*p - 47. Is -2 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -9367*u - 1157. Is c(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4359\/2906*(-1)\/12*-2. Which is the nearest to 6.9? (a) -0.5 (b) 3\/7 (c) 5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*-4*7\/28.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -962 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -30*k**4 - 277*k**3 + 2*k**2 + 932744*k.\nAnswer: -720*k - 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18380.\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*u + 0 + 0)*(0 + 0 - u) - u + u + u**2)*(50*u - 19326 - 2*u**2 + 9670 + 9678).\nAnswer: 2*u**4 - 50*u**3 - 22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Express -3*l + 7*l**3 - 15 + 15 + l as b*l + f*l**3 + u*l**2 + d and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/8 or -15552?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-16)\/28)\/(6\/(-21) + 0). Suppose -4*j + 10 = 2*q, 3*j + 6*q + 3 = q. Solve -3*i = -x*n - 17, 3*n = j*n + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 15*s**3 + 1157*s**2 + 167*s - 456. Give p(-77).\nAnswer: -1457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**9)**7\/(n\/(n\/n**(-1\/30)))**(14\/5) assuming n is positive.\nAnswer: n**(-4193\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -13, 3, 3, -31, -117?\n\"Answer: -3*u**3 + 10*u**2 + 7*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -136 + 68 + 68 + 3*i**2. Let n(q) = -4*q**2. What is n(y(f))?\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.2651 - -1134.4651. What is a rounded to the nearest ten?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes after 11:12 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5\/21 - 1\/84. Put -2\/13, o, -2\/11 in descending order.\nAnswer: -2\/13, -2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -543078*x + 543078*x - 4745*x**2.\nAnswer: -4745*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*r - 4*r**2 + 0*r)*(-2*r - 9 + 7 + r**2 - 3*r**2).\nAnswer: 8*r**4 + 8*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/433383753 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -228*w - 91*w + 273998989. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 83 and 5312.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 434115055 + 5?\nAnswer: 434115104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 6) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 7 = -5*u - 14, -3*n + 21 = 0. Solve 5*g = -o - 3*o - 7, -5*o + 4*g - 19 = u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 94.99905ml to litres.\nAnswer: 0.09499905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 610774 is divided by 594?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10771 - 10651. What is the greatest common factor of 6080 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2044761497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3600900?\nAnswer: 2, 3, 5, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2a2319a9 - -3?\nAnswer: -2a2319a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 1152*s - 272 - 89 + 166*s - 40*s. Is g(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(6\/7))**(-50) assuming t is positive.\nAnswer: t**(-650\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**4\/(n**2\/n))\/(n\/(n\/(n\/(n**0*n)))*n**(-2))*((n\/((n**2*n)\/n))\/(n\/((n\/(n\/(n**(-2\/23)*n)*n))\/n)))\/(n\/(n\/n**(-1\/3)))**31 assuming n is positive.\nAnswer: n**(845\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -72*r = -77*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 92 = -3*r - 5*h, 0 = 3*r + 3*h - 312. Suppose 5*g - 25 = 0, -104*k - 5149 = -r*k - 5*g. Round k to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ccccckccckccccccccc. What is prob of picking 2 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1935 is divided by 146.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1180 + -144. Calculate the remainder when k is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (5*(-5 + sqrt(1539) + -2))**2 - (6*2*sqrt(1539)*4 + 3)**2)*-1.\nAnswer: 5742*sqrt(19) + 3506167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes after 7:57 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -128 divided by 1746.\nAnswer: -64\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0.22243+-547122\nAnswer: -547121.77757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of -1\/2*c**2 - 1\/30*c**5 + 0 + 2*c - 1\/12*c**4 + 1\/6*c**3. Let y(o) be the first derivative of g(o). What is y(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2956.8 - -2957. Which is the fourth smallest value? (a) 0.1 (b) -2\/7 (c) o (d) 1.86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -97*y - 153. Is 33 a factor of u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 267283 is divided by 87.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -49*x - 290. Let s(u) = -u**3 + 24*u**2 - 25*u + 40. Let f be s(23). Let k be q(f). Solve 0 = -k*n + 52 - 60 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627367 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m**5\/4 + 53*m**4 - 2748*m**3 - 2889*m**2\/2 + 284607*m\/4 + 296055\/2 = 0. What is m?\nAnswer: -255, -3, 6, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*f + 19*f + 9*f to h*f + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-d**2 + 1044 + 1089 - 2133 - 55149*d)*(-3*d - d + 3*d) to the form l*d**3 + r*d + c + n*d**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 6 + -11 - (-2 + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 703*z**5\/5 + 7747*z**4\/5 + 4530*z**3 + 20132*z**2\/5 + 392*z\/5 = 0.\nAnswer: -7, -2, -14\/703, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -4.1617675 rounded to 3 dps?\nAnswer: -4.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 9498787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 88 is divided by (4\/(-6))\/(80\/(-840))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = -5*l - g - 28, 2*l = -4*g - 8. Let o be (1*l)\/(9\/6). Let c be (-3)\/(-6) - 138\/o. What is the greatest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1776703 (base 8) to base 9.\nAnswer: -877355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.5, -3, -5, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w + 51 = g, 30*g = -2*w + 31*g - 31 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 17.3 - 14. Let k = 0.7 + x. Sort k, -3, -4 in descending order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12 - 15) + (-5 - (-25 - -21 - (-2 - 1)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3285781718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the first derivative of -r**3\/3 + 19*r**2\/2 + 20*r - 254. Suppose 5*d - 5*n = d + 60, 75 = 5*d - 4*n. Is 16 a factor of b(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.07 - 4536917114.479?\nAnswer: -4536917114.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1b0 - 797?\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -341571 + 341571.599988. Let y = -405.4 + 406. Let d = i - y. Round d to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/15 (c) 29 (d) -25 (e) -0.2 (f) -725\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 593, 599, 609, 623?\n\"Answer: 2*s**2 + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - (-5 + 14)) + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -42*s + 67. Let c be g(4). Let o = c + 100. Are 1\/201 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -52644.027827 - -52644. Round l to 4 dps.\nAnswer: -0.0278","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 48*i**2 - 1. Let h be m(1). Suppose -h = -o + 80. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*h**2 + 109*h - 109*h - 4*h**4 = 0. What is h?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 12 = o, -2*x + 8 = -2*o - 0. Let v(j) = 3*j + 6*j - 22*j + 1 + 12*j. Calculate v(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2\/5 (c) -281 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -22760 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(104) - (sqrt(104) - (sqrt(104) + (sqrt(104) + -1*sqrt(104))*3))))\/(sqrt(24)\/sqrt(3)*1 - sqrt(288))*5.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 670384818?\nAnswer: 2, 3, 23, 1619287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14722283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -227 + 220. What is the common denominator of ((-1904)\/(-196))\/((-9)\/a) and -11\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*f**3 + f**3 + 5*f**3 - f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -3, 0, 22, 1 in decreasing order.\nAnswer: 22, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**2 + 31*h + 257. Determine f(37).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 210*c - 451*c + 241*c - c**3 - 372.\nAnswer: -c**3 - 372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 20 + -12. Let b = i + -7.9999925. Round b to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 2*y**2 + 10*y - 3. Let q(b) = -1 + 153*b - 461*b + 153*b + 155*b + b**2. What is -a(r) + 3*q(r)?\nAnswer: r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 325500 and 358236.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -2 + -209218416\nAnswer: -209218418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10 - 8. Let m = a - -21. Put 5\/4, -4, m in decreasing order.\nAnswer: m, 5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 13*s**3 + 53*s**2 + s - 8. Let m be h(-4). Let l(f) = 1 - 2*f**2 + 5*f + 0*f + f**2. Determine l(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -16*f**2. Let c(k) = -k**2. Let t(u) = -20*c(u) + x(u). Let v(m) = 9462*m + 53*m**2 - 9462*m. Determine t(v(w)).\nAnswer: 11236*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 + (2 - (-1)\/1). Let r(x) = 57*x - 4. Is 22 a factor of r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h - 1. Let k be v(5). Is k greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 2547529.83+-2\nAnswer: 2547527.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 355, 291, 227?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*j - 8903 = -10103 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 323744.\nAnswer: 2, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {m: 1, j: 1, i: 5, q: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -18 + -4 + 12 + 21 + 8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j + 9. Let d be i(-5). Suppose -29 - 13 = -2*w. Suppose d*x - w = x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 30145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 274760 (base 8) to base 2.\nAnswer: 10111100111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 7 + 171*q - 5.\nAnswer: 171*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**3 + 15*t**2 - 171*t + 2559. Let p be l(15). Let d be 4\/(-18) + 4\/18. Sort d, 3, p, -12 in decreasing order.\nAnswer: 3, d, p, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9556859 is divided by 136.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -662 + 665. Let f(l) be the first derivative of -l**2 - 3*l - 1. What is f(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 400 divided by 2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -37 + 38. Sort a, 1\/6, -1\/2, 3 in ascending order.\nAnswer: -1\/2, 1\/6, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20*(-8)\/140 - 19\/(-133))*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30\/7 - 2\/7*q**3 - 46\/7*q + 18\/7*q**2 = 0 for q.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/13? (a) 15 (b) -3\/8 (c) 0 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1680 divided by 60\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = 5*y - 8048, 0 = 1678*y - 1679*y + 1. What is the greatest common divisor of 42 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1944 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10752303 divided by 4.\nAnswer: 10752303\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3.13 - -3.1. What is j rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + -4 + (450\/21 - 20\/(-35))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23, 38, 125, 320, 659, 1178?\nAnswer: 1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3092725 and 71132675?\nAnswer: 71132675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1740563 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -91\/8 and -21\/136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x - 2. Let r be j(2). Suppose 3*g = 7*g - 8. Suppose 7 = g*m - 3*v, 3*v + 14 = -4*m + 1. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -4, 3\/4, -18 in ascending order.\nAnswer: -18, -4, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-272)\/(-280) + 7\/((-70)\/4)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3\/(-2) + (-28)\/(-8) - 2. Suppose -5*z + x*z = -20. Factor 1\/6*n**3 - 1\/6*n**z + 1\/6*n**2 - 1\/6*n + 0.\nAnswer: -n*(n - 1)**2*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1243 + 824. Let y = 670 + z. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1002 - -1009. Calculate the greatest common factor of 1169 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m\/m**0*m**(-21)*m**(-3\/2)*m*m*m\/m**(6\/11) assuming m is positive.\nAnswer: m**(-419\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4916 in 0, -0.4, 38, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2 plus 42.2170733?\nAnswer: 44.2170733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3161 - -0.2.\nAnswer: 3161.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 7*z**3\/3 - 2167*z**2 + 20824*z + 18380\/3.\nAnswer: (z - 919)*(z - 10)*(7*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 - 48708?\nAnswer: -48709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/5, 28056, 2\/7, 0.\nAnswer: -3\/5, 0, 2\/7, 28056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -22.6853518 rounded to one dp?\nAnswer: -22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -1 - 5*l - 2*l + 5 - l**2. Let r be s(-7). Suppose -c - r*w + 51 = -30, 2*c = w + 153. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -163\/510 and (-2185)\/228*1*4\/40?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n, q = 2*n + 3 - 0. Suppose 2*v = 3*d - q*v - 14, 4*v + 10 = 3*d. Let x = d + 9. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -3*r - 14. What is o(8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 3*k**3 - 4*k**2 - 38*k - 63. What is l(-10)?\nAnswer: -3083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2\/37, 0, -0.2, 19\/3 in descending order.\nAnswer: 19\/3, 3, 0, -2\/37, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {d: 5, p: 3, v: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*l + 22441 - 22441 + 187*l.\nAnswer: 222*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (2\/6 - 74\/(-3))*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1116 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1673485\/12 + 139694. Let l = c + -237. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -19*x - 172 - 18. Let m be 407\/74*(-2)\/x*-24. Which is bigger: m or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -263*f + 89305 - 71947 = 0 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r = 2*r - 58. Suppose -m = 4*i - 6*m - 51, -2*i + r = m. What is the units digit of i\/(-6)*(-2 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 460.94145 minus 0.84662?\nAnswer: 460.09483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 150*h + 846. Let b be p(9). What is the highest common factor of b and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -48.2 + 48. Let w be 12 + -13 - (-1 - -1). Which is the third smallest value? (a) -1\/4 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, n: 1, y: 1, t: 5, f: 1}. What is prob of sequence ytt?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00331889 rounded to five decimal places?\nAnswer: -0.00332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**2 - 300*n + 2111. What is o(7)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 55679 (base 10) to base 7\nAnswer: 321221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(189) - sqrt(189)*1*2) + (sqrt(189) + sqrt(189)*-1)*6)\/(sqrt(1728) - sqrt(1728)*1 - 3*sqrt(96)\/sqrt(2)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -43218 divided by -6174\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the third derivative of r**5\/60 - r**3\/3 - 3125*r**2. What is o(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 0.02, -15\/4, -1\/2, -0.09, -2, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*l - 2*l - 16 + 3*l**2 - 38*l**2.\nAnswer: -35*l**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - s - 90 = 0. Let h be 2\/((-3)\/s*4). Is (1761\/(-6))\/(h\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**2 + 14*z + 30. Let p be c(-2). Put -1, 4, 0, p in decreasing order.\nAnswer: 4, 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-6*2\/8). Suppose 44 = -0*p + d*p. Let s(i) = 5*i - 3. Let o(k) = 2*k - 1. Determine p*o(v) - 4*s(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -83824, -167654, -251500, -335368, -419264, -503194?\n\"Answer: -p**3 - 2*p**2 - 83817*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 487 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 33968958 to the power of 1\/2, to the nearest integer?\nAnswer: 5828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 2719061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**3 - 4*f**2 - f + 1. Let d be q(-2). Sort 1, 0, d in decreasing order.\nAnswer: 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 608846?\nAnswer: 2, 7, 157, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vjjv when four letters picked without replacement from vjvjlvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and -0.53?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -25*z - 97*z**2 + 136*z**2 - 27*z**2 in the form d*z + t*z**2 + r and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2027 divided by -2?\nAnswer: -2027\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 3, 2, 1, 22.9, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1431, 5, -114, 7 in descending order.\nAnswer: 7, 5, -114, -1431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = -4*h + 252, -4*v - v - 2*h + 315 = 0. Calculate the highest common factor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3694.698 days to minutes.\nAnswer: 5320365.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-11)*b\/b**16*b*b**15*b*b\/b**2 assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -1\/1445 (c) 3 (d) -0.1 (e) 0.3 (f) 494\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 916109, 1832227, 2748361, 3664511?\nAnswer: 4580677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 408 = 38*n - 32*n. What is the remainder when 337 is divided by n?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -17157926, -17157924, -17157922?\n\"Answer: 2*l - 17157928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 316 + 732. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - g. Let i(f) = 17*f**2 - 5*f - 1. Let c(x) = i(x) - 5*v(x). What is the derivative of c(n) wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-9)\/(-12)*(-16 - -36). Does 6 divide w\/(-60) - 5\/((-80)\/1716)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -2 and -26.255 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0079555304 rounded to 4 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 47330209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**2 + 2*g**2 - 34 - 7*g**2 + 5*g**2.\nAnswer: -g**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 0.46. Let i = h + 1.04. What is the third smallest value in -1\/4, -22, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12133*i*o**3 + 6739*o**3 with respect to i.\nAnswer: 12133*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 33292626123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0 + -2 - 720\/3. Suppose -2*j - 4*v = -748, 2*j + 10*v - 724 = 14*v. Let t = i + j. Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 365*59\nAnswer: 21535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u - 5*b = u + 9, 6*b - b = 9*u - 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Let u be (16\/(-10))\/(3\/(-135) + 0). Let k = -50 + u. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/((-36)\/(-16))*(10 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**3 - 5*o**2 - 7*o + 3. Let y be q(6). Suppose -b = -5*b + 80. Let l = b - 16. Sort l, y, -4 in descending order.\nAnswer: l, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -5*g + 152. Let h be r(30). Let w = 0.04 + 1.96. Let o = w - 3. Which is the closest to -1? (a) h (b) 6\/11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19 + -3. Suppose 5*o - k = o. Suppose -2 = -3*c + 7. Are c and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 33 + -21 + (-8 - -5) + (-1 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from cct.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -588, -1161, -1736, -2313, -2892, -3473, -4056?\nAnswer: -4641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -2*z - 2*h + 2, -2*h = 5*z + 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = o - 2*p + 2, -31*o + 64*o = 36*o - 2*p + 26 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Let i be (54\/45)\/(4\/(-10)). Let z be (i\/(-9) + 0)*(-2 - 7). Let t(f) = -37*f + 4. List the prime factors of t(z).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 214 = 2*b - 209 + 435, -u = 7*b + 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of 0 + 0*y + 17\/24*y**4 + 0*y**3 - 5*y**2 + 0*y**6 - 11\/112*y**8 + 0*y**7 + 1\/60*y**5. Find the third derivative of s(t) wrt t.\nAnswer: -1980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + (24 - 1) + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114 = -9*d - 33. Suppose j = 2*y + d, -7*j + 18 = -6*j - 5*y. Solve -z + j*n + 1 = 5, 0 = -n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 103*b**3 + 3*b - 3. Give p(1).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/((80\/1465)\/8). Let x = 2683 + c. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (60\/(-20))\/(3\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 184, 555, 1578, 3583, 6900?\nAnswer: 11859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (2\/22)\/((-29)\/58)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 67387 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 51 a factor of 304621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5557 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 62*l - 101*l - 120*l + 4*l to the form q*l + u and give q.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by 441357.\nAnswer: -5\/441357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 4*z**2 + z - 1. Let k be u(-1). Let c be 23\/5 - (-4)\/10. What is the second derivative of k*f + 0*f + 3*f**c - 7*f**5 + 4*f wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -137 = -51*i - 8*i - 19. Let q = -11 - -11.7. Which is the closest to i? (a) q (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 500247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5197.\nAnswer: 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 868606322.\nAnswer: 2, 434303161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 10 = -0*u. Let s be (2 + u - 0) + 8. Suppose 0 = 5*a + 20, -4*a = -s*v - 6*a + 2. Solve -3*c = v + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1*18*(-3)\/(-9). Suppose -3*m = -v*m + 6. Does 17 divide (-2)\/5*(-170)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30e (base 15) in base 9?\nAnswer: -845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 6*s**3 - 5*s - 5. Let o(k) = -3*k**3 + 2*k + 2. Calculate -5*o(y) - 2*z(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/395 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -19*i - 40. Let d(b) = -23*b - 41. What is 5*d(c) - 6*l(c)?\nAnswer: -c + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5717\/205 + 21\/41. Let t = -29 + v. Let s be ((-2 - 0) + -8)\/2. What is the fourth smallest value in s, 5, -0.4, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (4 - 2) + -2 + 2. Factor c + 2 - 2*i - 2*i**3 + 8*i.\nAnswer: -2*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**3 + 8*k**2 - 9*k - 16. Let f be s(6). What is the second derivative of -119*r**f - 10 + 230*r - 467*r + 233*r - 11 wrt r?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 606979.499966 + -606976. Let x = q + -3.5. What is x rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 19*f**2. Let x(m) = -21*m**2 - 3*m - 3. Let g be x(-1). Let l be (-36)\/g + (-6)\/(-21). Let i(w) = 3*w + w**l - 3*w + 0*w. Give i(r(k)).\nAnswer: 361*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/9 (b) 0.1 (c) 1\/4 (d) -782 (e) -0.127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 986 and 35061.\nAnswer: 1192074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1\/((-252)\/96*4\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -8*j + 297925. Let a(k) = k**2. What is i(a(l))?\nAnswer: -8*l**2 + 297925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be -3 + 4 + 2 + (-2 - -1). Suppose -24 = -p*w - 4*w. Solve -15 = -w*f + 9*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/3 + i + 2\/3.\nAnswer: (i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -267*m - 476*m = -12*m - 10965 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, t: 1, f: 4, n: 3, x: 5}. What is prob of sequence xft?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**2 - y. Let j be f(-6). Let h = -10024\/45 - -1625\/9. Let x = j + h. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -2 - ((25 - -11) + -70 - -37).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (-5 - (-3 - (2 - -5)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -58*z + 110*z + 208 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 74056895, 148113801, 222170707, 296227613?\nAnswer: 370284519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2228 - 5*h + 2837 + 6*h.\nAnswer: h + 609","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = -49 + 58. Let p(a) = -2*a + 63. Let y(h) = h - 31. Let v(o) = 4*p(o) + 7*y(o). What is the remainder when v(0) is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence prs when three letters picked without replacement from {p: 2, s: 1, r: 1, d: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 124621875.\nAnswer: 3, 5, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 245 and 210?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -16 - -67?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w + 3 + w**3 - 2*w**2 - 5 - 2. Let a be t(3). Suppose 698 - 22 = 97*b + 94. Solve -h + 3*h + l - b = 0, -a = 2*h - 3*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s**2 - s**2 + 0*s**2)*(-2*s + 6*s - s + 2*s**3) + (3*s**4 - 2*s**4 + s**4)*(-s - 5*s - 4*s) + s**5 + 0*s**3 + 0*s**3.\nAnswer: -17*s**5 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4, 199, 736, 1789, 3532, 6139, 9784, 14641?\nAnswer: 20884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -379 - 551 + 106*m**3 + 2*m**2 + 156*m**3 - 264*m**3.\nAnswer: -2*m**3 + 2*m**2 - 930","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 108*w - 1611 = 87*w - 258 - 72 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 329 and 3.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-4546)\/49056 - ((-3400)\/420 - -8) and -137\/6.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*h - 2346 = -85*h. Let w(v) = 212*v. Let g be w(1). Let k = -145 + g. What is the remainder when k is divided by h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + 3)*3*6\/(-36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f**2 + 0*f**2 + 9*f**2)*(6 - 5 + 4).\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -42374 + 30094. Is q at most as big as -12279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -95, -107, -119, -131?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(20) + sqrt(320))*1*-5 - (3 + sqrt(2000) + sqrt(2000)*-2 + sqrt(2000) - sqrt(2000)))**2 + 4)*-6.\nAnswer: -27078 - 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*j + 3*j - j + (-j + 6*j - 3*j)*(-3 + 3 + 2))*(2 - 2 + 2) to the form l*j + k and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -q + m = -5, -4*q = -5*q + 2*m + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15*z + 85 - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 636*c**3 - 3 + 3.\nAnswer: 636*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1915825773?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 408506 is divided by 204252.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 2119*i + 0 + 6 + 2114*i.\nAnswer: -5*i + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4283303 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -19891.18 + 19922.17954. Let j = r + -31. Round j to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 934 - 878 = 4*f. Suppose 432 = f*k - 156. What is the greatest common factor of 182 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2987063.202994 - 3015118.1301. Let w = c + 28055. Let l = w + -0.073. Round l to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is y in -373575*y**3 - 597770*y**2 - 239168*y - 32 = 0?\nAnswer: -4\/5, -2\/14943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes after 3:24 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 5377 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 minus -4574.0357?\nAnswer: 4574.3357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of -l**4\/12 + 634*l. Let q(f) = 19*f. Calculate q(w(z)).\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 35 - 44 - (-63)\/27*(1 + (0 - -3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 70.70432 milliseconds in microseconds?\nAnswer: 70704.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -2*p + 11. Let b(o) = 4*o**2 + 5*o + 3. Let f(l) = 2*l**2 + 0*l + l**2 + 2 + 4*l. Let c(n) = p*f(n) - 4*b(n). What is the derivative of c(d) wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -450 - 15?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 446098 is divided by 69.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 - 1. Suppose p + 3*j = j + 14, 5*j - 31 = -s*p. Suppose -i + 3*i = p. What is the highest common factor of i and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve p = 521 - 524 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 4*x = x - 1131, -x = -5. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.22 take away 17936064735?\nAnswer: -17936064735.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 751, 2944, 6511, 11380, 17479?\nAnswer: 24736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ifn. Give prob of picking 1 n and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 85\/148 and -47\/148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -185 + 731\/4. Calculate the common denominator of z and 43\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-5))\/((-104)\/(-780))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 0*f = a - 7, f + 3*a - 11 = 0. Let r(c) = 5*c - 2*c**2 - 7*c**2 + 1 - 3*c**2 + 13*c**2. Let t be r(-3). Put t, f, -3 in ascending order.\nAnswer: t, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-4*sqrt(7056))\/(sqrt(252)\/sqrt(4) + sqrt(21)\/sqrt(48))*-2.\nAnswer: -1920*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 4 = -5*a, -3*b - 4*a = b. Let h(v) = 2 - 13*v + 11*v**b - 4*v**2 + 4*v**2 - v**3. What are the prime factors of h(9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + 10 - (2 - (5 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2561.\nAnswer: 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 2*sqrt(2) + (sqrt(2) - sqrt(18)\/(sqrt(45)\/sqrt(5))).\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 18 - -2547a79?\nAnswer: 2547a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 903 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/(-5))\/(2\/60). Suppose -2*s = 4*t - 23 + 3, -4*t - 28 = -2*s. Let p be s*5*(-5)\/(-50). Solve p + 12 = 2*h + 4*l, -l = 3*h - m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 115711 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times 13\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/6, 46, -5, 0.5, 3\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (363\/132)\/((-1342)\/(-1586)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6144)\/(-10) - 4\/10. Let b = 387 - w. Let j = b + 382. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 12:09 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z**4 + 12772*z**3\/5 + 434548*z**2\/5 + 3140636*z\/5 - 265320 = 0. What is z?\nAnswer: -603, -25, -11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 + 1a?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 5537\/565 - (-2)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2000) + sqrt(2000) + sqrt(2000)*-2)\/(-1*sqrt(90)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -43 + -10. Let r = t - -56.72. Let s = r - 3.71999721. What is s rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fjvrm. What is prob of picking 1 v and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -239 = -4*o - 67. Let s = 475\/11 - o. Let g = -10 + 8. Put g, -1, s in ascending order.\nAnswer: g, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -1947*u**3 - 3*u**2 - 6*u - 18. Let r(i) = -50622*i**3 - 77*i**2 - 154*i - 462. Determine 3*r(h) - 77*v(h).\nAnswer: -1947*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1026066?\nAnswer: 2, 3, 41, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 11, -4 in increasing order.\nAnswer: -4, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4 and 4640?\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12839?\nAnswer: 37, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, -3, 2228754, 25 in descending order.\nAnswer: 2228754, 25, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 36, 143, 324, 579, 908?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 88, 159, 232, 307, 384, 463, 544?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 370 and 18204?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (11*1)\/(3\/12). Suppose 0 = -l - 4*l + 2*b + 184, -4*b = l - 28. Let c = f + l. Calculate the greatest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2285*j + 623.\nAnswer: -2285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -69971 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 246467, 492934, 739401, 985868, 1232335, 1478802?\nAnswer: 1725269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes after 9:05 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 122 = -2*m - 443, 0 = -4*d + 2*m + 2266. Is 63 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9720 - 8364 = -4*f. Is 56 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1040 and 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of 0*w**2 + 0*w**4 - 4 + 2\/3*w**3 + 0*w + 0*w**5 + 3\/7*w**7 + 0*w**6. What is the third derivative of r(n) wrt n?\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lzfflzfzlzfllfffl. What is prob of picking 1 l and 1 z?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/(((-3)\/10)\/(-1)). Let r(g) = -53*g - 269. Let l be r(-5). Which is the nearest to 0? (a) l (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**3 + 115*m**2 + 614*m - 182. Determine s(120).\nAnswer: 1498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 2d (base 16) to base 2\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 3*v + 7 = 0. Let f be (1 + v)\/(-3 - 0). Solve f*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*n - 2*n**4 + 4*n**4 - 495*n**2 + 12*n + n**3 + n**3 to i*n**3 + k*n**2 + s + m*n + b*n**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/4, 3\/5, -10\/19, -1, -0.114?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**2 - 8*m + 10. What is x(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 42947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12011409 is divided by 465?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6 + -5.6. Let h = 0.107 + -0.103. Let a = h - -0.196. Put x, a, -0.4 in descending order.\nAnswer: x, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12979 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/1 + 1974\/168\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17 + 0 - (13 + 15 + -25 - -2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 7.488498 to two dps.\nAnswer: 7.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 21932288 divided by -2741536\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -4 times -0.98651608\nAnswer: 3.94606432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.40066 take away -649751896?\nAnswer: 649751895.59934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 542708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**3 - v**2. Let f(b) = -251*b**4 + b**3 + b**2 + 415. Let y(p) = -f(p) - u(p). What is the derivative of y(z) wrt z?\nAnswer: 1004*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*x - 13 + 61 + 20 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 18 - 3. Suppose -a*h - 238 = -29*h. Let c(w) = w**2 - 18*w + 12. Give c(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/21)\/((-12)\/28). What is the nearest to 0.4 in -2\/3, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-l**2 - l + l)*(3 - 2 + 1) - 2 + 374*l**2 + 2 - 267*l**2 in the form g*l + j*l**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3*2)\/(-7 - -5). Let q(p) = -3*p - 6. Calculate the least common multiple of q(-4) and 2\/3*(18 - b).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x - 4*i + 52, 0 = -x - 4*x - 3*i - 57. Let j = x + 16. Suppose -j*c + 22 = d, d + c - 51 = -d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22 times 1210.94?\nAnswer: -26640.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1125.1 - 84375008.9\nAnswer: -84376134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 1:51 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the first derivative of b**4\/4 - 11*b**3\/3 + 11*b**2\/2 - 5*b + 2. Let u be q(10). Solve -4*t = -2*t - 2*v + 2, 4*t + u*v - 41 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the second derivative of 2*s + 0 + 0*s**2 + 1\/10*s**5 + 0*s**3 + 29\/6*s**6 - 47\/6*s**4. Find the third derivative of t(g) wrt g.\nAnswer: 3480*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -5 + 8*m + 8 - 2. Let r be n(-6). List the prime factors of r*(-2)\/4*2.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -600 - -863. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -41\/66 - 1\/22. Let q = 99 - 224. Let v = -623\/5 - q. What is the closest to v in 3, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (20*-1)\/((-18)\/243*18). Let o = -3 - -6. Suppose b = 5*c + 4*h, -o*c - c = h - 12. Solve 6*q - c*q = -12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5026 - 3c37?\nAnswer: -8c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 - 2*f**2. Calculate m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*s**3 + 19*s - 26 + 11 + 13 - 21*s to the form a*s + r*s**3 + w*s**2 + o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -534 + 586. Find the second derivative of 9 + 210*p**2 + 101*p - t*p - 58*p wrt p.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-3))\/(3\/108*3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 5 + 2)*(3 - 2 + 2)*(v - 2*v + 2*v)*(0 - 2 + 0).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5 and (-3)\/((-12)\/370)*(-78)\/(-65)?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 39, 86, 133?\n\"Answer: 47*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.81 + 3.21. Let m = -0.2 - -1.2. Which is the nearest to -1? (a) m (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 965 is divided by 389.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(78) - (sqrt(78)*2 - sqrt(78))*-1)\/(sqrt(6) - (sqrt(726) - sqrt(726)*-1 - sqrt(6))))**2.\nAnswer: 117\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 69439 - 29452. What is t rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/19428208 and -39\/112?\nAnswer: 135997456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/11 in -4, 376, -1\/3, 1.642, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1769 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -259*z - 388*z = -375 - 5448 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from auuajhuaahaahjaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 13 and 203?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d**3\/6 + 46209*d**2\/2 = 0. What is d?\nAnswer: 0, 138627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that 49*l**4 - 77*l**3 + 9*l**2 + 17*l + 2 = 0.\nAnswer: -2\/7, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 5*w + 29. Determine d(-15).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.08 + 1.0800196. What is r rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46 bigger than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2619 - -2622. Solve q*s + 25 = -4*w, -2*w + s = -2*s - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -33 - -72. Let f(z) = z**3 + 5*z**2 + 10*z + 161. Let p be f(-6). What is the highest common factor of p and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8043583.\nAnswer: 23, 191, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*v + 8 = -6*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 297.0000173 - 297. Round w to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**3 + 9*h**2 - 7*h - 6. Let u be n(8). Suppose -l - u = -4. Solve l*k - 12 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -109 + 109 - 7*r - 15*r to the form g*r + v and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -30*n**2 - 18*n**2 + 18*n**2 to w*n**2 + r*n + d and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 - -4. Let v = 7 + -6.8. Which is the closest to l? (a) 0.5 (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3151140 times 0.1?\nAnswer: -315114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44100*w**5 - 9329880*w**4 - 50810776*w**3 - 58156592*w**2 + 33184860*w - 3923064 = 0. Calculate w.\nAnswer: -206, -3, 23\/105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1240, 2372, 3428, 4408, 5312, 6140?\nAnswer: 6892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 9 = -0*p. Suppose -5*q = -q. Suppose -h + p + 17 = q. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 775 divide 208356702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = -103705\/12 - -8635. Find the common denominator of -139\/114 and m.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -19 - -17. Which is smaller: -7\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 34*j**3 - 5705*j + 5705*j + 1059 wrt j.\nAnswer: 102*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = 102 + 54. Let a = -472\/3 + t. Suppose 4*z + z = 0. Is a at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 951\/5*p**2 - 11*p**3 + 1\/5*p**4 - 5129\/5*p + 4232\/5.\nAnswer: (p - 23)**2*(p - 8)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 6*c**3 - 4*c**2 - 5*c. Let s(d) be the third derivative of -1\/20*d**5 + 0*d**3 + 1\/24*d**6 - 4*d**2 - 1\/6*d**4 + 0*d + 0. Give -4*r(j) + 5*s(j).\nAnswer: j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**3 - 7*l**2 - 4*l + 8. Calculate v(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/5)\/(-4)*15\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1146*t + 150 = -1136*t. Calculate the remainder when 42 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 255 divided by 6\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110 = 4*o + 2. Let c = o + 29. What are the prime factors of (c\/(-1))\/(4\/(-184))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*(f\/f**(2\/19))\/f*f)\/((f*f*f**(3\/11))\/f))**(-11)\/(((f*(f\/f**(-1)*f*f)\/f)\/(f*f**2))\/(f**0)**11) assuming f is positive.\nAnswer: f**(-149\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -87485.701 to the nearest 10.\nAnswer: -87490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -26275375 (base 8) in base 11?\nAnswer: -3345941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 300992631 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: Let l(p) be the first derivative of 305*p**4\/4 + p**3 - p**2\/2 - p - 26. Let d be l(1). Calculate the greatest common factor of d and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**7*y\/(y*y**10*y))\/(y**(-8)*y\/y**(-2\/23)*y) assuming y is positive.\nAnswer: y**(44\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 - 11*y**2 - 25*y + 11. Let k be f(13). What is the second derivative of -4*a - 19 - 12 - k*a**5 + 22 wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4.67, 0, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33061 is divided by 623.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 3*h + 8 = 0. Let n be (h - 3) + 3 + 19. What is the highest common divisor of 92 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -930610, -7444862, -25126398, -59558860, -116325890, -201011130, -319198222?\nAnswer: -476470808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 137 divide 15070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -39, 2, 0 in decreasing order.\nAnswer: 4, 2, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 6507 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 79200615 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/6*564\/(-45) and -1 - 27\/(-15) - 54\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1169395 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2530, 2521, 2512, 2509, 2518?\nAnswer: 2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:12 PM and 7:15 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 7*b**2 + 43*b - 30. Let d be w(-14). Let c = d - 737. Solve 68*z - 65*z + c = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = -3*r + 2*r + 10, -3*a = -6. Let s(v) = -70*v + 19. Let y(x) = -163*x + 44. Let z(t) = -7*s(t) + 3*y(t). Let l(c) = -c. Give r*z(m) + 7*l(m).\nAnswer: -m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -94*v - 168. Let y be k(12). Suppose -4*d - 7541 = 1655. Let x = y - d. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 4*r = 76, -4*y + 3*y = -3*r - 15. Suppose 17*q + y = 11*q. Let k(c) = 4*c. Let z(i) = -1 - 7*i - 4 + 1 + 3. Give q*z(d) - 5*k(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*f + 4*f + 6*f + 1 - 2*f - f + 4*f + (4 - 4 + 4*f)*(-3 - 1 + 3).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -14\/5*o**2 + 0 - 2\/5*o**5 - 18\/5*o**3 - 2*o**4 - 4\/5*o = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g**3\/2 - 165*g**2 + 2298*g - 3948 = 0. Calculate g.\nAnswer: 2, 14, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11 - 5. Let n = k + -9\/2. Suppose q - 11 = 2*y, 2*q = 5*y - 3*q + 40. Which is the nearest to 0? (a) -2 (b) y (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of o**4*p**2 - 20893*o**4*p - o**4 - 4910*o**2 + o*p**2 wrt o?\nAnswer: 24*o*p**2 - 501432*o*p - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 287887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 25\/2 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most as big as 42\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the third derivative of -h**5\/30 - h**4\/12 + 9*h**2. Suppose w(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**3 + 17*c**2 - 140*c - 2. Determine h(-23).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**3 - 2*k**2 + 4. Let b be i(-4). Suppose -9*y + 5*y = -b. Let h(a) = -a + 10. What is the remainder when 1 is divided by h(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0029488 to 4 dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -49*r + 87. Give f(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 6 by -89.\nAnswer: -6\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 38903247, 77806464, 116709681?\n\"Answer: 38903217*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 226*d - 1 + 873*d as y + r*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 2*m**2 - 527*m + 529*m - 6*m**3 - 5 + 5*m**3 in the form r + v*m**3 + t*m + u*m**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 353 - 345. Solve 0 = k + 2*p + 2*p - 11, -p = 2*k - o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21671 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -17.63 - 0.37. Let h be (-44)\/(-12) - (-12)\/(-4). Is h smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4765\/3 + 1564. Let w = 14 - 17. Calculate the common denominator of s and (w + (-35)\/(-12))*122.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -6\/5 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -8*a**2 + 7*a**2 - a**3 - 5*a**3 + 5*a**3. Let d(w) = -4*w + 19. Let s be d(5). Let x(f) = f**2. What is s*x(z) - t(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/10)\/((w\/(w*(((w*w\/(w*w**(-5)\/w)*w)\/w)\/w)\/w))\/w))\/((w\/((w\/w**0)\/w*w)*w)\/(w\/(w**(-5)*w))) assuming w is positive.\nAnswer: w**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 322 + 1045 = t, -5*l - 5*t + 1225 = 0. Calculate the remainder when l is divided by 53.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 102 + 1212000101101?\nAnswer: 1212000101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 43 = -7. Suppose 0 = 5*v - q - q - i, 0 = -2*v + 4*q + 26. Calculate the greatest common divisor of 30 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 4 = -5*h + 29, 0 = 2*g + 10. What is the common denominator of ((-142)\/(-8) - h)\/(-1) and -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v**2 - v + 87. Calculate m(0).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t**2 - 14011857*t + 476406606 = 0 for t.\nAnswer: -4670653, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.07 - 6778.\nAnswer: -6778.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the second derivative of j**4\/6 - 55*j**3\/3 + 574*j**2 - 372*j. Suppose k(b) = 0. What is b?\nAnswer: 14, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in seventy-one quarters of a decade?\nAnswer: 2130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v + 4*v + 10 = 0. Suppose w + v*o = 587, -3*w + 2296 = w - 5*o. Suppose -w = -4*j + 353. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2481658.1 + -5.\nAnswer: 2481653.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 2*q - 2. Let z be b(2). Suppose -7*p = -z*p - 225. What is the remainder when p is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 58762 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1027827015 to the power of 1\/2, to the nearest integer?\nAnswer: 32060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 6.86502855 rounded to 1 dp?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rjcr when four letters picked without replacement from {g: 1, j: 1, r: 5, d: 4, m: 1, c: 3}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 138 - 94. What is the greatest common factor of 66 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2267 is divided by 77?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v - 4. Let l be p(-4). Suppose l*m + 10 = 2*s + 3*m, 2*m = -s + 7. Sort s, 3, -2 in ascending order.\nAnswer: -2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9603509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1 - 2)\/1*9. Let h be -2*((-2)\/13 - 368\/(-26)). Let g = h - -19. Are g and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 33880 + -2811968\/83. Let k = -6623\/498 - x. Calculate the common denominator of k and (213\/6)\/((-12)\/(-1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (7 + 0 + -6)*43*-1. Let j = -20 - -65. Let a = y + j. Solve -3*k = a*l + 11, -18 = 3*l + 3*k + 2*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 2 + 2*f**2 - 4*f + 5*f - 3*f**2. What is the units digit of m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 157 + 3036. Let v = f - 2185. Calculate the highest common divisor of v and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*d - d - 3*d + 3443579.\nAnswer: -4*d + 3443579","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1629, -1622, -1603, -1566, -1505?\n\"Answer: j**3 - 1630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.02 + -0.16. Let d = -0.56 + h. Let r = d - -0.5. Put 1, 2\/7, r in descending order.\nAnswer: 1, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -198*z**5 + 8*z + 4 wrt z.\nAnswer: -3960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + 3*l + 34 + 10, 0 = -h - 4*l. Calculate the highest common divisor of h and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1511066, 3022133, 4533200, 6044267, 7555334?\n\"Answer: 1511067*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 0*x = 0. Suppose x = -5*w - j - 3*j + 13, -4*w - 5*j = -5. Suppose 4*s = -2*v + 9*s + 98, 5*v - 210 = -w*s. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -v**3 - 12*v**3 + 3*v**3 - 4*v**2 + 5*v**3 wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 481836*k - 436723?\nAnswer: 481836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -398102, -398094, -398074, -398036, -397974, -397882, -397754, -397584?\n\"Answer: j**3 + j - 398104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**2 + 13*h - 12. Determine v(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1734 or 1735?\nAnswer: 1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*k - 5*k + 2700. Suppose 2*y + 890 - 184 = 0. Let u = y + k. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 3 = 0, -2*t = -6*t - 5*x + 365. Calculate the highest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -3*p + 1. Let b be ((-12)\/15)\/(p\/(-5)). Solve 2*a = -a + 5*f + 2, -2*f - 6 = b*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -104 in -261, 0.3, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 679 a factor of 598236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 75 divided by 3\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(-4))\/(6\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4668\/133 - -242\/7. Is 0 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -245*g*t**2 - 62*g*t + 8*g wrt t?\nAnswer: -490*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 + -14. Sort 5, g, -4 in decreasing order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 4*h - 11. Find i, given that 31*i**3 + 6*i - 51*i**h + 70*i**3 - 48*i**4 + 12*i**3 + 7*i**3 = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38368 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 60 + -43. Let j = b + -17. Let z be ((-6)\/(-7))\/((-6)\/4). What is the smallest value in z, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*r + 81 + 202 = 3 + 34 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -48 + 70. Let j(w) = -2*w**2 + 46*w - 38. Let g be j(i). Solve -3*u + 3 = -g*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*q**2 + 2*q**4 - 2 + q - 4*q + 2*q in the form w + j*q**3 + h*q + u*q**2 + v*q**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 284*q**2 - 296*q**2 + 580*q**2 - 33*q**3.\nAnswer: -33*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-24)\/(-5985))\/(-2)*21\/14. Let x = u + -3321\/1330. Which is the biggest value? (a) x (b) 1 (c) -5\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 834474373.\nAnswer: 4973, 167801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h - 0*h + 3*j - 9, h - 8 = 4*j. Suppose -11*m + h = -10*m. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 7 by 16023985.\nAnswer: 7\/16023985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Subtract 12 from 0.53.\nAnswer: -11.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 - 2)*(-240*k**2 + 502*k**2 - 16 - 250*k**2).\nAnswer: -12*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let y = 0.5 + -0.2. Let h = 7687.3 + -7690.3. What is the fourth smallest value in y, 0, h, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*((o\/o**(2\/23))\/o)\/o)\/o**(-1\/9))**(2\/11))**(-1\/37) assuming o is positive.\nAnswer: o**(-10\/84249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2a56 + 11?\nAnswer: -2a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7 - -9. Suppose -5*r + o = -r - 3*f, 0 = -4*r - f + 10. Find n, given that 6*n - 2*n + 0*n + 2*n**r = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mcpmlddddcpdcpd. What is prob of sequence cd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34422.\nAnswer: 2, 3, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -142*m - 64*m + 65*m to s*m + j and give s.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -2\/9 (b) 4 (c) 4\/9 (d) -416 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -4*o**2 + 6*o**4 + o**2 + 4*o**2 + 2 - 3*o**3 as m*o**4 + v*o**2 + k*o**3 + c*o + j and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0\/(((-210)\/21)\/10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 92 times 707?\nAnswer: 65044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -10335772358 - 1?\nAnswer: -10335772359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 27171180 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 3*j**2 + j. List the prime factors of r(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -59*m - 172. Determine b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 2*t**2 - 117*t - 31472. Determine h(160).\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 17291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -1 + 18*u - 47*u**2 + 122*u**2 - 56*u**2 + 2*u**3. Is j(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = h + 1420 - 4154, 0 = -h - 3*n + 2744. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-6) - 2\/(-3). What is the closest to q in 1, -7\/3, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 39\/4 (b) 0.66 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -9, -30, -69, -138, -249?\n\"Answer: -2*l**3 + 3*l**2 - 16*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (1 - 0 - -3) - -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -49 + 69. Suppose 3*w + 3*l + 2*l - 247 = 0, 5*l + s = 0. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.095*41.\nAnswer: -3.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 4*v = 1463 - 8027, -3273 = -y - v. List the prime factors of y.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -27 - -17. Let r = 22 + c. Let u be 4\/(-3*(-2)\/r). What is the highest common factor of u and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 168 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.57 + -3.47. What is the closest to 1 in 5, 12\/5, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 21 = -5*m + 6, 2*d - m = 6. Let t(k) = -29*k + 128. Calculate the remainder when 55 is divided by t(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25173\/(-2)*19\/(1197\/(-42)) is divided by 2797?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 653.8509l to millilitres.\nAnswer: 653850.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 312 + -305. Suppose g = -12*z + 31. Solve 4 + z = -6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 3:35 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/(u*u*u**7)*u)**(2\/31))**(-1\/43))**(-2) assuming u is positive.\nAnswer: u**(-28\/1333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 6*w - 13. Let u(k) = 8 - 34 + 16 - k + 10. Determine g(u(t)).\nAnswer: -6*t - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -147 divided by -7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 160\/20*7\/28*52\/4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be 24\/(-14)*(-14)\/2. Suppose 4*u + 5*x - 9 = 6, -u + 4*x - h = 0. Let k = -24.63 - -24.23. What is the nearest to u in -0.3, -5, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1263345 is divided by 19141?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, n: 7}. Give prob of sequence ni.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkkjkkkkk?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -4.579093 * 3\nAnswer: -13.737279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = 18, 4*s = 11*l - 16*l - 66. Which is smaller: s or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13\/32 - -1\/160. What is the nearest to c in -3, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 170597295 divided by -6171.\nAnswer: -27645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the third derivative of -z**4\/24 + z**3\/6 - z**2. Suppose -p - 24 = 3*p. Let g(j) = -j**2 - 6*j + 6. Let o be g(p). What is a(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2 + 1. Let z = 9 - 20. Let y = 7 + z. Which is the second biggest value? (a) w (b) 2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2310 - -1665. List the prime factors of n.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 (base 16) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -45*g + 511 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1427 + 1430. Let u = -17 - -18. Which is the closest to u? (a) -0.5 (b) k (c) 2 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39191 = 18*z - 105 - 21652. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -57*g + 115*g = 406 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -37*m*t**3 - 33*m*t**2 - 9*m + 10*t**3 wrt t.\nAnswer: -222*m + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (24206\/43225)\/(14\/12)\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find p such that 2*p**3 - 128208*p**2\/7 + 91566*p\/7 + 36628\/7 = 0.\nAnswer: -2\/7, 1, 9157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l - 3. Let i be f(6). Suppose -a = 3*a - 8, 0 = -i*r + 3*a + 174. Is (-8)\/r - (-9214)\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 149*v + 1590. Calculate b(-5).\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -159 - -94.6. Round k to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -54 - 135\/8*b + 3\/8*b**2.\nAnswer: 3*(b - 48)*(b + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 237141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1050 - 2098 - 7*c - 2*c + 1048.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 289 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnuhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**3 - 57*t - 3. Let o(b) = -2*b**3 - 113*b - 7. Determine -7*g(q) + 3*o(q).\nAnswer: q**3 + 60*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -1238*l - 361*l - 421*l - 576*l in the form j + f*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 49497 and 35355?\nAnswer: 247485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(1260) + sqrt(1260) - sqrt(1260)) + sqrt(140)*-4)\/(sqrt(100)\/sqrt(5) + sqrt(5) + -2*sqrt(80) + sqrt(80) + sqrt(80)).\nAnswer: -20*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 0)*(2 - 2 - 1)*(-57*g + 488 - 488 + (-g - 1 + 1)*(-5 + 2 + 2))*(g**3 - 3*g**3 + 3*g**3).\nAnswer: -112*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from igggogygyggyyy. What is prob of picking 1 i and 1 g?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be (6\/(-9) - -1)*15. Solve -c = -2*c - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 617953 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand 5 + 29*q - 57*q - 6*q + 2*q**2 + (-4*q + 4*q - 2*q)*(12*q + 17*q - 15*q).\nAnswer: -26*q**2 - 34*q + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2.1 - 2. Let z = -23 + 22.91. Let n = z + -0.51. Is n at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10913681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 - -199?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**2 + 6*f. Let j be o(-7). Let x be 2\/j + 24\/14. Suppose 2*s - g = 2*g + 62, -4*g - 62 = -x*s. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 918091619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4546*s + 1065*s - 9380*s to the form i + y*s and give y.\nAnswer: -12861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -629.9487 rounded to the nearest ten?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 13 = -7*x + 3*x, -1 = -x + k. Let b(p) = -p**2 - 5*p + 8. Let s(w) = w + 1. Let l(h) = b(h) - s(h). Let q be l(-7). Solve q = -o - x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -25*n**3*w**2 + 304*n**3 - n**2*w**3 - 4632*n*w**3 + 2*n*w + 2*w**3 wrt n?\nAnswer: -150*n*w**2 + 1824*n - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 3\/7 (c) -2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 1 + 3*p**2 + 10*p + 15*p - 20*p - 6*p**2 - 6*p. Calculate t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * 282.9.\nAnswer: 565.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38299096 is divided by 7659812?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*w**3 + w**3 + 4*w**3 + 7*w**3 - 17*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2139375 and 619400.\nAnswer: 325185000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 3, q: 1, n: 1, p: 9, i: 4}. Give prob of sequence ppn.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and 17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -z + 4127 - 4161 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 6*j = -j - 5, -3*j = 5*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out 59 * 0.3.\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1806)\/(-86)*7\/3. What is the least common multiple of 30 and -6 + a\/42*-2*-39?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:11 PM and 3:22 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -15*q**3 - q**2 - 3*q - 2. Let k = 25 + -26. Let r be m(k). Differentiate r*x**3 + 19*x**3 + 15 - 7*x**3 - 5 wrt x.\nAnswer: 81*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -19, -52, -85, -118?\n\"Answer: -33*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/(4 - 6 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 3.71, 0.2, -1, 5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -3422, -23698, -78736, -185918, -362626, -626242, -994148, -1483726?\n\"Answer: -2897*n**3 + n**2 - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1386\/72)\/(-11)*(-5)\/(-35)*(-24)\/52.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, j: 2, a: 4}. What is prob of sequence aea?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be (210\/30)\/((-2)\/6). Let l = 27 + f. Put 0, 3, l in decreasing order.\nAnswer: l, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59*i**2 + 12*i**2 + 52*i**2.\nAnswer: 123*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a factor of 7486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16 - 16. Suppose 4*d = -u*d + 120. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(36)\/sqrt(108) - (sqrt(81)\/sqrt(3))\/sqrt(9))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*a - 4*a - 21 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5056110 and -0.5.\nAnswer: 2528055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.02, -198457, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 852\/20 + 4\/10. Let w = q + -21. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13768 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 870 - 391. List the prime factors of n.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 76499?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/24*37)\/(3627\/9672)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 33\/13835419 and 36\/88333829.\nAnswer: 1148339777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 13715 + -4?\nAnswer: 13711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes after 12:36 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 70319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -12 + (57 - 69 - (-8 - (0 + 3)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1774 and 41948.\nAnswer: 37207876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 37109577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of -5 + (-4)\/(-2) - -30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 1002, 2062, 3170, 4326, 5530, 6782?\n\"Answer: 24*u**2 + 988*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-110)\/(-4) - 4\/(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 4*p + 3 = 0. Suppose p*c - 6300002 = 2*i, 2*c + i - 5457455 = -1257456. What is c rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 24732851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 15139740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2388 + -4888246\/2047. Let g = -243793\/40940 - s. Calculate the common denominator of g and 53\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 190266 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rmrcgcrxgcr. What is prob of picking 2 r, 1 x, and 1 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be (47 - -7)\/(1\/3). Suppose 4*i - u = 2*i. What is i rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 65*o - 827 = -567 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 33 and 5655.\nAnswer: 62205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 104\/(-260)*(-3)\/4 - 308\/(-40)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -u + u - u - 2*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 4, 0.204, -0.2, -2145?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yysssyysssys. What is prob of picking 3 s?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1a931ca (base 13) to base 12\nAnswer: 2b468aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 0.1 (c) 2\/25 (d) 181 (e) -0.4 (f) -1.4 (g) -54\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 168179.54933 - 168321.55. Let n = 141.948 + 0.052. Let u = n + t. What is u rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/5 + ((-810)\/25 - 3). What is the hundreds digit of m*9\/12*-27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -158, -272, -470, -758, -1142, -1628, -2222?\nAnswer: -2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z + 8. Let x(h) = -3 + 5 - 6 - h. Let y(o) = -3*w(o) - 7*x(o). Find the first derivative of y(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9460483583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1066950, -4267800, -9602554, -17071212, -26673774, -38410240?\nAnswer: -52280610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**2 + x - 3. Let f(h) = h + 8. Let o be f(-5). Suppose m = 3*y - 2*m - 9, 2*m - 6 = 0. Suppose -o = -3*d + y. What is k(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11323?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79067.\nAnswer: 17, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 2*f**3 + f**2 + 5*f - 3. Let t be w(3). Let q = -66 + t. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 AM and 6:57 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 51238550*g**2 - 51238550*g**2 - 9*g**3 - 48*g + 2 as n*g**3 + q*g**2 + a + u*g and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -1\/13039?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -3859 and -532.786126?\nAnswer: 3326.213874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 149324516 divided by 632731?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 397 - 373. Solve 14 - f = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/2790 and 37\/355818.\nAnswer: 5337270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -11509*x**2 - 2*x - 9826*x**2 + 22694*x**2 in the form u*x**2 + c*x + s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -16250 + 884?\nAnswer: -157aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2\/(-12))\/(2805\/(-297)). Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1254 = -8*v + 18. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d - 3*f + 48, 22 = 3*d - f - 10. Let x = -10 + d. Solve 0 = -w + 4*p - 1 - 1, -x*w = -5*p + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**3 + 10*q**2 + 17*q + 17. Calculate a(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 2*p**2 + 8. Let y(u) = -3*u**2 - u - 10. Determine 6*t(i) + 5*y(i).\nAnswer: -3*i**2 - 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -323, -650, -977, -1304, -1631, -1958?\nAnswer: -2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in -0.01, 0, 0.1, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1090 divided by -1\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 7*j - 20. Let u be (152\/(-9))\/(j\/10). Let z = u - -42. Are z and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of z**5\/60 + 43*z**4\/24 - 2*z**2 - 409*z + 3. Factor f(u).\nAnswer: u*(u + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*s**3 + 5*s**3 - 2*s**2 - 7*s**3)*(-2*s - s + 0*s).\nAnswer: -30*s**4 + 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1297920*h + 1297758*h - 2595089*h.\nAnswer: 589*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 - -1) + 2 + -2. Suppose 5*v = -6*s + n*s + 3, v - 12 = 3*s. Suppose -c + v = -3. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -31 - 25 + 48*y + 52 as r*y + d and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 16) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 232, 361, 488, 613, 736?\n\"Answer: -y**2 + 132*y + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 435920.\nAnswer: 2, 5, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 5*r**2 - 5*r - 6. Let l = -10 + 21. Let w(o) = 2*o**2 - 2*o - 2. Give l*w(h) - 4*n(h).\nAnswer: 2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**2 + 5084*j + 3230882.\nAnswer: 2*(j + 1271)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 202 is divided by 3 + 234\/7 + 12\/(-28).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -0.08, -325 in increasing order.\nAnswer: -325, -0.1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yolaltyhaottoyt. Give prob of picking 2 t, 1 a, and 1 h.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-6)\/(-13 + -5))\/(1\/969) is divided by 56.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0004064101 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 4. Let x = 170 + -258. Let t(z) = -2*z + 88. Give x*f(h) + 4*t(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 17? (a) -6 (b) -4 (c) -1 (d) -2\/3873\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = -113085*t + 113080*t + z, 5*z = -7*t - 181 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.5 + -0.5. Let y = p + -0.1. Let m = -25\/2 + 79\/6. Which is the third smallest value? (a) y (b) -1\/6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((7896\/21)\/47)\/(((-56)\/(-4))\/1)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7 - -1. Let q = v + 7. Which is the closest to 0.1? (a) -3\/4 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(98) + 0)**2*2 - sqrt(98) - (-4 + -1*sqrt(98))**2.\nAnswer: -63*sqrt(2) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 24547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -4*b - 5*r, 2*b = -4*r - 0*r + 26. Suppose -b*s - 8 = 2. Let j = -2\/2085 + 8354\/14595. What is the smallest value in -1, j, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 6*d**2. Let t(u) = 10*u + 8*u - 21*u. What is r(t(y))?\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.3 (c) 11 (d) 1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 32 and 177352?\nAnswer: 709408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.2, 0.77, 1\/7, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzczzzezzzzzziezize. Give prob of sequence czz.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 73, 121, 167, 211, 253?\n\"Answer: -u**2 + 51*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.40996564 to 2 decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o**2 + 5*o - 6. Let u be y(5). Let v be (u\/(-2))\/(3\/12). What is the highest common divisor of 93 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -0.4, 7\/5, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*y**3 - 2*y**3 + y**2 + 0*y**3 - 3*y**6 wrt y?\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15639350 is divided by 1812.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 1.7445456 months?\nAnswer: 0.01453788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iel when three letters picked without replacement from {l: 5, e: 1, i: 3, g: 3, x: 2, y: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -19.00064 - -19. What is u rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -644*k**2 - 8465 + 4165 + 4057 + 0*k + 0*k wrt k.\nAnswer: -1288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -13*l + 1. Suppose b + 4*b - 15 = 0. Suppose -15 = -x - 2*s - 2*s, -12 = -b*s. Does 14 divide n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**3 - 2*d + 120 + 125 - 3*d**2 - 245.\nAnswer: -d*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -17968 = -17965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*a**2 + 7*a**2 - 17287*a - 17328*a + 51943*a - 17328*a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from isiqwuqswiwiwiiq. What is prob of sequence wwqu?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 363139.7 micrometers in kilometers?\nAnswer: 0.0003631397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6118 - 3*b**2 + 12100 - 5982.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1 - ((6 - -1) + 5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -10*f**3 - f**2 - f. Suppose 0 = -4*d - 4*h, d - 3 = -3*h + 1. What is the units digit of t(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -620, -595, -556, -497, -412, -295?\n\"Answer: d**3 + d**2 + 15*d - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1538 times -0.5?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 76 * 0.1\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 70 is divided by 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 6b (base 16) in base 14?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**2 - 2. Let y be s(0). Let h be -2 + 20\/(6 + y). Suppose u + 2*u - 131 = 4*d, -2*u = h*d - 59. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.10811615 rounded to 4 decimal places?\nAnswer: 0.1081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 divided by 45350.\nAnswer: 2\/4535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -2*q. Let c = -7 - -7. Let l(d) = c*d + 2*d - 2*d + 2*d. Determine l(y(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -449, -858, -1243, -1592, -1893, -2134, -2303, -2388?\nAnswer: -2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-4 + 2 + 2 - 7) + 66 + -64\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8569189.\nAnswer: 8569189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-46)\/575)\/((-90)\/(-315) + -2*(-72)\/35)?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 78806917019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10260331 and 11?\nAnswer: 112863641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 92781556.\nAnswer: 2, 7, 29, 163, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1 + (-25 - -9) + (-26 - -31)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/843 (b) 354 (c) 0 (d) 5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes before 1:31 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, s: 1, k: 2, g: 1, z: 2}. Give prob of sequence szg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 4*x**2 + 2612*x + 88848 = 0.\nAnswer: -617, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2451363 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 239562 - 160051. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-16)*x\/(x*x*x**20*x)*x)\/(x**(-5)\/(x*(x\/(x\/(x*x*x\/(((x*x*x**29*x)\/x)\/x))))\/x*x)) assuming x is positive.\nAnswer: x**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 3*l**2 + 6*l - 3*l + 12 + 5*l - 2*l**2. Does 10 divide r(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (317 + -336 - (-1 - 18)) + 4 + 10\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxxuxxxgxxxxgg.\nAnswer: 99\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -856 - -1136. What is the remainder when i is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -131\/3300 and -47\/24.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(1377) + 2)*-5.\nAnswer: -10 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*x - 1880 = -17*x. Calculate the highest common factor of x and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 + -20 + -13 + -5 + 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 157*q**2 - 624*q**2 - 998*q**3 + 153*q**2 + 156*q**2 + 158*q**2.\nAnswer: -998*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -38, -71, -104, -137, -170?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 PM and 12:37 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 11*q - 7*q. Suppose -w = -q*w. Suppose -8 = -4*i + 4, -5*b - 5*i + 40 = w. Solve -a = 5*d - 24, -2*d = 2*a - 3 - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 396299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -320667632*m**3 - 498823364*m**2 wrt m?\nAnswer: -1924005792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes before 4:29 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (19\/(-7))\/((-144)\/(-168))*((-42)\/(-7))\/(-6).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 187 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**3 - g - 1. Let x be n(-2). Let f(r) = r**2 - 8*r - 7. Let q be f(x). Let h(k) = 2*k + 3 + k**q + 6*k + 2*k - 4*k. Give h(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 2*h**3 - 4*h**2 + h + 2. Let f be d(2). Suppose 0 = -j - f*m - 11, 3*j - 5*m - 1 = -0*j. What is the second biggest value in -2, j, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 424 = -2*x - 4*f + 24, 3*x + 635 = f. Is x > -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 735080974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -2270, -1\/9, 1380, 0, 5 in ascending order.\nAnswer: -2270, -1\/9, 0, 5, 1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/11 in 0, -5, -3, 0.5, 0.3, 80\/2749?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 448 = -5*s, 10*s - 10 = 15*s. Let y = i + -458. Solve y = 5*l - 6 + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 492615746 divided by 6\nAnswer: 246307873\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.04 in 38\/3, 3\/7, 3, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2950\/1416 - 1\/8*14.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*c - 53*c - 161 + 45 = 0. Let p(h) = 3*h - 9. Let g(u) = 1. Let m(s) = -15*g(s) - p(s). Give m(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -25a31a (base 11) to base 12.\nAnswer: -178835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(108) - (0 + sqrt(108)))*-1 + sqrt(108) + sqrt(108)*-1*-4 - (sqrt(675)*-4 + 4))**2.\nAnswer: -720*sqrt(3) + 24316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 18013354 to the nearest 100000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:40 PM and 4:31 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -2*t**3 + 48*t**2 + 52*t - 40. Give d(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -4*6.1\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 4986 = -3*u, 3*k - 5*u - 4992 = -0*u. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.06 - 4.1483224.\nAnswer: -4.2083224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01390527 rounded to five dps?\nAnswer: 0.01391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -369? (a) 0.52 (b) 0.2 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2120 + -1155. Suppose 8*q - 3*q + 3*u - 930 = 0, -5*q + p = -4*u. Let m = q - 112. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((d*d\/(d*d\/d**11*d))\/d)\/d)\/(d**(-23)*d))**(-25) assuming d is positive.\nAnswer: d**(-750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 3 - 6 - -5 - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 43 + -25. Suppose y + 5*y - i = 0. Solve -5*u + m - y*m - 11 = 0, 5*m = -u - 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.01? (a) 2\/23 (b) 1 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m - 25 = 0, 1730*m - 1734*m = 5*j + 45 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 - 378?\nAnswer: -37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bccbccccc. What is prob of picking 2 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jevzvjjejepzjjw. What is prob of sequence wvjv?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 231 a factor of 47843334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:26 PM and 1:09 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10*(-154)\/(-525)*(-18)\/24*15\/42?\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*o + 56 = -24. Suppose -4*r = -o*p + 41, 3*p + 9*r - 8*r = 11. Solve -p + 25 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are 4\/190261 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*v**3 + 20*v**2 + 1 - 20*v**2.\nAnswer: 10*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 277382 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 95*w + 35 - 103*w - 34. Let o(n) = -9*n + 2. Determine -3*o(k) + 4*t(k).\nAnswer: -5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4.34 - -7.9. Let t = 1.56 - r. Let a = -2 - -3. What is the closest to t in -0.3, a, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 2*i**2\/21 - 4*i\/21 + 2\/21 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 + 9*w**2 - 9*w + 12. Let p be (-4)\/(-6) + (-26)\/(-6). Suppose 24 = p*o - 16. Calculate the remainder when 6 is divided by v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2 - 15*v - 26. Let p be a(-13). Suppose 6*d - 20*d + 8288 = p. Suppose 4*k + d = 8*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oj when two letters picked without replacement from {o: 1, j: 8, u: 4, h: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**3 - 31*z**2 + 209*z - 209. What is j(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 2 = -x, 0 = -2*g - 5*x + 35. Determine i so that 8 + 1 + 3*i**2 + 689*i**3 - g*i - 686*i**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1687, 2972, 4247, 5506, 6743, 7952?\n\"Answer: -v**3 + v**2 + 1289*v + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -51*a**5 + 23*a**2 - 3?\nAnswer: -3060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.03 (b) -0.3 (c) -0.2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 42130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 508969297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1735 is divided by 1692?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 29431*h - 4267 wrt h.\nAnswer: 29431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -491642821 - -491642859.99999983. Let g = -29.2 - 9.8. Let u = g + z. What is u rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 15079680 and 396?\nAnswer: 15079680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -199 + 337. Is 28 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 172 + 43. Let r = t + -4943\/23. Which is the third biggest value? (a) 2 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i and 1 x when three letters picked without replacement from xzxiizzzzzz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*o**3 + 1080*o**2 + 4272*o.\nAnswer: 3*o*(o + 4)*(o + 356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1132205 (base 6) to base 11\nAnswer: -40221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/19, 1, 3, -3 in decreasing order.\nAnswer: 3, 1, 1\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*u + 9 - 34 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**2 + 4*h + 4. Let f be x(-3). Let i = -9 - f. Let a = 5 - -3. Solve -4*v + i = -a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -7*(19\/(-6) + 16\/96). What is the greatest common divisor of q and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from letlbellltlttl. Give prob of sequence bt.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -678*f**2 + 1 - 1 - 706*f**2 + 1471*f**2. Let v(p) = 40*p**2 + p. Give v(j(r)).\nAnswer: 302760*r**4 + 87*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10, -14, -34, -76, -146, -250?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13376716 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 198289820 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.0667 or -253?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 11413\/53909?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -509 (base 12) in base 13?\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1296 + -0.3\nAnswer: 1295.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5469.\nAnswer: 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**3 - 9*m**2 + 10*m - 5. Let y be r(-10). Let d = y - -119. Let t = 509 + -480. Calculate the remainder when d is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -4*s - 3*x, 4*x - 5 = 3*x. Suppose s*j - 8 = j. Let q = 10 + j. Solve q*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-3*(sqrt(102) - sqrt(102)*1)*6)\/(sqrt(18)\/((sqrt(147)\/sqrt(7))\/sqrt(7))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1894829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-l**2 - 2*l**2 + 4*l**2)*(12*l**2 - 11*l**2 + 4*l + 0*l) to the form j*l**4 + f*l + d*l**3 + p + n*l**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of -1411 and 0.1071.\nAnswer: -1410.8929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5 - -8 - (-8 - 1)\/3. Let n = 199 - 23. What is the highest common divisor of n and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.5296106 to 2 decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50*z**2 + 145*z**2 - 55*z**2 + 346*z**3 - 2181*z**3 - 40*z**2.\nAnswer: -1835*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**3 + z + 9. Let m be g(0). Let h be (-2)\/m + 76\/18. Let r be 3 - 5 - 1 - -21. Solve 0 = -h*u + 3*b - 10, -4*b + 3*b + r = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*k = 4*k - 826. Let t = 115 + k. Let i(l) = l**3 + 3*l**2 + 2. Determine i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -g**4 - 13*g**3 - 25221*g**2 - 1011582*g wrt g?\nAnswer: -12*g**2 - 78*g - 50442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 852399588.\nAnswer: 2, 3, 71, 769, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 277 + -272. Let q = -28 - -29.5. Let k = -3.5 + q. Put k, 3\/7, o in decreasing order.\nAnswer: o, 3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10 + 14. Let j be (y\/10)\/((-2)\/20). Is (2\/j)\/(1\/(-32)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, 2, -5\/2, -50\/59, -0.05, 4 in descending order.\nAnswer: 4, 2, -0.05, -50\/59, -5\/2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 616354 + 152?\nAnswer: 616536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2901*o**2 - 2 - 1758*o**2 - 1559*o**2 to the form t*o + p*o**2 + u and give p.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -381649 + 811766. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**2 - 7*r + 9. Let p be j(6). Suppose p*u = 144 + 18. Let i = 1 + 5. Calculate the greatest common factor of u and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 2540 (base 11) to base 3\nAnswer: 11112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 10111100111 (base 2) to base 7.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 457 by 191951.\nAnswer: 457\/191951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*(-42)\/112*156\/18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -23188 - -9171. Let c = 911047\/65 + j. What is the common denominator of c and -22\/45?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand a**4 + a**4 - a**4 + (-2*a**3 + 2*a**3 - 3*a**3)*(2*a + 3 - 3) - 120*a**4 - 52*a + 52*a.\nAnswer: -125*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 12707*u + 100 = 12711*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1699 - -7)*((-880)\/15)\/8 + 0?\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 1 + -5 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5128601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1806, 2008, 2348, 2826, 3442, 4196, 5088?\n\"Answer: 69*f**2 - 5*f + 1742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 39 + 896 = 0. Suppose 3*w + 413 - 101 = 5*d, 3*d - 2*w - l = 0. Calculate the remainder when d is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/7 in 0.1, -2\/7, 3\/334, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -2*t**2 + 3*t + 4. Let x be z(3). Let l be (-12)\/(-5) - (-2)\/x. Suppose 0 = 3*q + 12, -a + 36 = -l*q - 2*q. Solve -n = 4*n - a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1101211 (base 3) to base 9\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50032?\nAnswer: 2, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**3 + 9*r**2 + 6*r + 4. What is the smallest common multiple of b(-8) and -1 - (-1)\/((-1)\/(-5))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3631*z + 2201*z - 4170*z in the form r + a*z and give a.\nAnswer: 1662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20, 27, 40, 59, 84?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 132743 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 11819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 28120 and 94240?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 AM and 11:32 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -461 + 466. Suppose 6*z + 15 = 9*z + 3*k, 5*z - 5*k + c = 0. Solve -h - z*s + 6 = 0, h + 19 = 5*s - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 7*k**2 - 2*k + 2. Let j(z) = z - 1. What is h(p) + 2*j(p)?\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 39 = 4*d, y + 42 = -5*d - 0*y. Let a = d - -23. Let m = a - -3. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1031 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -131828*a**2*c**2 - 3*a**2*c + 20*a**2 - 4*a - 5*c**2 - 108*c wrt c.\nAnswer: -263656*a**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3087*u + 3078*u - 9. Let x = -0.1 - 0. Let q be 6\/(-2) + (-172)\/(-56). Which is the closest to u? (a) q (b) -1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -3*s - 0. Let d(y) = y - s + 3*y + 4. Let t(v) = 2*v**2. What is d(t(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be 23*(-8)\/12*6. Let r = -54 - q. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*k**3 + 8*k**3 + k**3 + (-5*k**2 + 3*k**2 + k**2)*(-6*k - 7*k + k) + 78*k - 78*k + 9*k**3 in the form q*k**2 + y*k + g*k**3 + p and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7990\/8 - 91\/52?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b + 1. Suppose 25*t = 23*t + 2. Suppose -10*a = -11*a - t. Let c(u) = 3*u + 5. Let m(r) = r + 4. Let y be m(0). Calculate a*c(o) + y*i(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4 + (-42)\/(-15))*-20. Suppose 3*w - l = -0*h + 3*h, -10 = 2*w. Let z = 53 - h. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 160994 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**3 + 158*o**2 + 852*o - 1008.\nAnswer: -2*(o - 84)*(o - 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 18*v - 180 - 3*v**2 - 6*v - 3*v**3 + 192.\nAnswer: -3*(v - 2)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -871*a - 53*a - 80*a.\nAnswer: -1004*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98 = -19*z + 57 + 244. Calculate the least common multiple of z and 1608.\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (264\/810 - (-2)\/(-5)) + 0. Which is the second smallest value? (a) r (b) -4\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1670*i - 1481*i = 62181. Which is smaller: i or 1647\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 221 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 4 = -j. Let v(r) = r - 1. Let c(k) = -1. Give j*c(b) - 2*v(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-5)\/2)\/((-5)\/10). Suppose -4*h - 2*q - 2 = -3*h, -z*h - 3*q - 3 = 0. Suppose g = -h - 2. Which is smaller: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 132*g + 19. What are the prime factors of j(10)?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 31 = -29. Let t be ((-15)\/9)\/(5\/p). Let d(h) = -h**3 - 6*h**2 - 6*h - 2. Let n be d(t). Solve -n*j = -9 - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4 - 4 - 2*h**2)*(-h - h + 4*h) + 8*h**3 + 20*h - 20*h)*(0 + 0 - h).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 - -6. Suppose 0 = -6*c + c - b*u + 19, -2*u = 4*c - 16. Calculate the remainder when 12 is divided by (-7 + 0)\/(c - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1250)*-2*1)\/(sqrt(90) + (sqrt(90) + (sqrt(90) - (sqrt(90) - 1*(2*sqrt(90) - sqrt(90) - sqrt(90)) - sqrt(90))) - sqrt(90)))*-6.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmtt when four letters picked without replacement from cemtt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) -5 (b) 4 (c) 6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ggwggcccwcg. What is prob of sequence ggc?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 63408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o. Let q(u) = -5*u. Let p(x) = -q(x) + 10*t(x). Let k(d) = 6*d. Let y(s) = 2*k(s) + 3*p(s). Let z(n) = -n**2. Give y(z(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:26 PM and 1:43 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/4)\/((-7)\/2)*288\/(-2592)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 932457 is divided by 186477?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 556773 to the power of 1\/2, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/7 of a week in hours?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 u and 1 d when four letters picked without replacement from {d: 11, u: 9}?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*s + 2*s - s + (0 + 19 + 17)*(-3*s - 3*s + s).\nAnswer: -182*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72*f + 74*f - 18962 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -3222011420 (base 5) to base 14\nAnswer: -c9a9a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a - 17 + 2. Let p be ((-4)\/5)\/((-7)\/35). Suppose -2*d + 0*h = h, p*d + 12 = -5*h. Solve -3*j = d*j - 25, j = 2*t + a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4\/3*r + 4\/3*r**3 + 2\/9*r**4 - 2 + 16\/9*r**2 = 0. Calculate r.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*1*sqrt(70))\/(-1*sqrt(250) - sqrt(10)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that -22*b**3 - 20*b**2 + 22*b + 20 = 0.\nAnswer: -1, -10\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11.057488 - -11.083. What is l rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5043068807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -4*n. Let j(g) be the second derivative of -g**4\/8 - 2*g**2 - 7*g. Let v(x) be the first derivative of j(x). What is m(v(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 747 - 460. Does 41 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2b7a806 (base 13) in base 3?\nAnswer: -222021022000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 132197214533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1534)\/42952 - (-1)\/(-21).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5693899 take away 670323.3?\nAnswer: 5023575.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -654 - -1056. What are the prime factors of j?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/5988 and -58\/1641?\nAnswer: 3275436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.05 + 706345048363\nAnswer: 706345048363.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1411 - 1243?\nAnswer: -2654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 5090 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0, 5, 25, -5 in ascending order.\nAnswer: -5, -4, 0, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -38*w**2 - 63*w**5 + 84*w**5 + 13*w**2 wrt w.\nAnswer: 1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11 and 594?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -29181.93 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be (12\/15)\/(2\/5). Let j be ((-30)\/(-75))\/(u\/5). Suppose -4*p + 21 = 2*h - 3*h, 0 = -2*p + 5*h + 33. Solve -p*q = -5*q + j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 179589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -14*v**2 + 20*v - 5. Calculate z(5).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*f**3 + 60320*f + 60325*f - 145552*f + 24907*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 8*m**3 + 3*m**2 + 8*m - 35. Let a(c) = -38*c**3 - 14*c**2 - 42*c + 174. Calculate -3*a(u) - 14*o(u).\nAnswer: 2*u**3 + 14*u - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z + 19 = -3*o, -5*o + 4*z = -0*z + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be 286298\/(-6170)*(-1)\/(-4). Let z be -1*(4 + (-19742)\/4936). Let y = t - z. What is the common denominator of y and -54\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -34457*b**4 + 24003*b**2.\nAnswer: -826968*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r**3 + 495*r**2 - 2040*r + 2060 = 0.\nAnswer: -103, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (3*(sqrt(80) - (sqrt(80) - (6*-1*sqrt(80) - sqrt(80)))) - (0 + (sqrt(80)*4 - sqrt(80))*6)))**2.\nAnswer: 121680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 374 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 6 = c. Let g = 58 - 63. What is the closest to 1 in g, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-240)\/154 + -9*(-14)\/441 and -25\/208.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 14569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -657 - -671. What is the lowest common multiple of s and 106?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 825*k**3*n - 13*k**3 + 2*k**2*n + 2*k**2 + 4*k*n + 243 wrt n.\nAnswer: 825*k**3 + 2*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**3 + 8*u**2 - 9*u - 10. Let c be l(6). Suppose 2*o + c = 3*o. What is the least common multiple of o and (-24)\/(-1*3) - 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*(h**0\/h)\/h)**(-4\/31))**(2\/13) assuming h is positive.\nAnswer: h**(8\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 2*q**2 - 6. Give d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-67)\/469 + (-17)\/(-217).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -5*z + 398, -3*z + 5*z + 3*w = 149. Calculate the remainder when z is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35975 + 5*m**2 - 18020 - 17955.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:46 PM and 1:04 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -28807115, -28807119, -28807123, -28807127, -28807131?\n\"Answer: -4*g - 28807111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -p**5\/7 + 31*p**4\/7 + 25*p**3 + 185*p**2\/7 - 174*p\/7 - 216\/7 = 0 for p.\nAnswer: -3, -2, -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 3*l + 45 = 0, -4*j - 425*l + 421*l + 36 = 0. Calculate the lowest common multiple of 2067 and j.\nAnswer: 6201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -279692 divided by 127\nAnswer: -279692\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -931 <= -930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d**2\/5 - 296744*d\/5 - 11007125192\/5 = 0.\nAnswer: -74186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -8 + 8 - 2859*o - 2862*o as r*o + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 81\/1126 + -2193047\/2252. Let w = -979 - a. Which is bigger: -5 or w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**3 + 6*t**2 + 4*t - 3. Let l be p(-5). Suppose -l*b + 7 = 1. What is the second derivative of -4*k + k**3 - b*k**5 - k**3 wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -145 less than -731\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.016 - 21.984. Let v = n - -25. What is the nearest to -1\/5 in 0.2, 0.4, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 5*o + 11 = 0, j + o + 0 = -1. Let k = 5 - j. Let x be (-86)\/30 + (k - 4). Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 88 and -335591?\nAnswer: -29532008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 3*r**3 - r**3 - r**3 + (-9*r**3 + 13*r**2 - 13*r**2)*(-3 + 0 - 2) in the form p*r**3 + z*r + y + a*r**2 and give p.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.17 + -0.83. Let x = -0.0186 - 0.9294. Let g = u - x. Round g to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 15598c (base 14) to base 7\nAnswer: 6223335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 8*i**2 + i. Let r(y) = -y**2. Let j = -27 + 29. Let h(s) = j*r(s) - p(s). Find the second derivative of h(u) wrt u.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that 5*y**4 - 15*y**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s + 4*s. Suppose 5*c = -s*c + 10. Solve -c*n + 0 - 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -798 + 524. Let o = u - -274.5. What is the closest to 0.6 in -0.1, -4, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3796370171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -156*l. Let g(c) = 2*c**2. Give q(g(j)).\nAnswer: -312*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 4*x**3 - 43*x**2 - 2*x. Let i(p) = -7*p**3 + 88*p**2 + 3*p. Calculate -3*i(w) - 5*t(w).\nAnswer: w**3 - 49*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14338840 divided by 10.\nAnswer: 1433884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4\/7? (a) -0.5 (b) -2\/99 (c) 0.0411 (d) -0.03 (e) 1 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the third derivative of -o**7\/420 - o**6\/240 + o**5\/120 + o**4\/48 + 7*o**2. Solve b(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -593 + 632. Sort 0.1, 4, c in ascending order.\nAnswer: 0.1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 56 + -65.1. Let w = c - -4.4. Let k = w - -5. Sort 2\/23, k, -2 in increasing order.\nAnswer: -2, 2\/23, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0455 less than 0.0303351?\nAnswer: 0.0758351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 89 = 4*y. Suppose 6*f + 14 = 2*f - 2*x, -5*f = 4*x + y. Let r(z) = -2*z - 11. Let v be r(-5). Does f = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (126\/(-14))\/(17\/(663\/(-65))).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -119*f**2 - 92*f**2 - 8 + 127*f**2 - 62*f**2 - 177*f**2 in the form z*f + s + k*f**2 and give k.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 3*u**2 - 22*u + 5. Let q(d) = -2*d**2 + 11*d - 3. Give 3*f(h) + 5*q(h).\nAnswer: -h**2 - 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 78 and 3402.\nAnswer: 44226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q + 3, 7*k - 2*k = -5*q. Suppose -5*f - 5 = -g, 4*g + 5*f = -0*f - 5. Suppose 54 = k*v - g*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18.09 take away 34006420009?\nAnswer: -34006420027.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**2 + 7*g + 1. Let r be n(5). Let z be -1*r\/((-11)\/5100). What is z rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 449*p = 114*p - 1721 + 5741 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -13 + 12.66. Let q = 6707.669981 - 6707.33. Let c = k + q. What is c rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -160*-10.43\nAnswer: 1668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 8, d: 1, r: 1, n: 2, q: 8}. Give prob of sequence dq.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 3*k + 2 - 8 - 2 - k. Let m(r) = r - 3. Let x(l) = -8*m(l) + 3*p(l). Let y(z) = -2*z. Give y(x(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(325) + (sqrt(325) - (sqrt(325) + sqrt(325) + -1)) - sqrt(325))**2.\nAnswer: 20*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84 = -2*v - 0*f + 2*f, 2*f - 259 = -5*v. Calculate the highest common divisor of 24941 and v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9758507 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.039 - 0.0390155. Round d to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 7, -7406, 4.\nAnswer: -7406, -5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w + 10*w - 3*w)*(0 + 0 + w) - 8*w**2 - 24*w**2 - 52*w**2.\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 8) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -727048*h + 727050*h - 64 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -9, 1, 4637, -3 in decreasing order.\nAnswer: 4637, 6, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 486 - 2393.74\nAnswer: -1907.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 14\/49*(-182)\/104?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14130, 14129, 14128?\nAnswer: 14127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the first derivative of i**3\/3 + i**2\/2 - 3*i - 1. What is the remainder when 9 is divided by t(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 223257987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 - 12*m**2 + 9*m - 4. Let i be c(-10). Let a = -189 - i. Does 35 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5365730627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -2*j**2 - 52*j - 45. Let f be m(-25). Let g = 3 + 0. Suppose -y - 9 = -s, -f*s + 20 = -3*s - g*y. Solve 1 = -s*b + 6*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3929, -3932, -3937, -3944, -3953, -3964, -3977?\nAnswer: -3992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 62*m**2 + 23*m - 6. Is s(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 3*j + 1488, 3*k = -0*j + 3*j + 1512. Let w = j + 4983\/10. What is the common denominator of 2\/(-1) + (-86)\/(-9) and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that u**5\/7 + 205*u**4\/7 + 1810*u**3 + 235750*u**2\/7 - 72905*u + 37387 = 0.\nAnswer: -109, -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6\/329 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 307 a factor of 9828227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 3 + 7 = 0, 3*d = -2*l + 28. Calculate the remainder when d is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12303 (base 4) in base 6?\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 122*d = 156*d - 59*d - 50*d - 2175 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112) + -2 - sqrt(35)\/sqrt(80) - (-4 + sqrt(448) + -1)) + (sqrt(42)\/sqrt(6)*-3 - 5*sqrt(63))*6.\nAnswer: -449*sqrt(7)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-95)\/(-57) + 72\/(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1620.23642 - 5.\nAnswer: -1625.23642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes after 3:57 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -582, 1\/6, -2\/25, 4 in ascending order.\nAnswer: -582, -2\/25, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2435, -4022, -5645, -7322, -9071, -10910?\nAnswer: -12857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*(2\/(-18))\/(6\/(-54)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (208\/(-12))\/13*(-2)\/10*39*-5?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*a - 11*m + 10*m - 19, a + 5*m = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 88255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i - 1. Let b(o) = -15*o + 7. Let y = 1086 - 1087. Calculate y*b(c) - 5*d(c).\nAnswer: 10*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(-3\/4)*b)\/((b\/b**5)\/b*b))\/(b**(-5)*b*b**(3\/7)))\/(((b*b**(-2)*b)\/b*b*b*b**(-2\/7)*b*b)\/(b\/(b*b*(b\/b**1*b)\/b)*b\/b**2)) assuming b is positive.\nAnswer: b**(87\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes after 1:19 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 6*c**5\/5 + 1058*c**4\/5 + 65784*c**3\/5 + 1681344*c**2\/5 + 14692288*c\/5 - 10561824\/5 = 0.\nAnswer: -63, -62, -26, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12356 + -12300. Solve 72*v = k*v - 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k + 5*m - 26, -2*m = -5*k + 2*m + 105. Suppose -s - 5 = 0, -v + 3*s + 45 = 4*s. Calculate the remainder when v is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, d: 2}. What is prob of picking 1 w and 2 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 83715 divided by -4\nAnswer: -83715\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -37*d + 39. Determine n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - -3. Suppose 17 = -m - 4*l, q*m - 5*l = 3*m + 20. Let f(k) = 5*k - 9. Let p(v) = 2*v - 4. Let w(g) = 3*f(g) - 7*p(g). Give w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -23*g**2. Let y(u) = 24*u**2. Let q(d) = 4*k(d) + 5*y(d). Let j(c) = c**2. Give q(j(i)).\nAnswer: 28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**3 + q**2 - 2*q + 1. Let u be l(-3). Let w = -11 - u. Factor 2\/5*r**4 + 0 + 1\/5*r**5 - 1\/5*r - 2\/5*r**2 + w*r**3.\nAnswer: r*(r - 1)*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 88, -3984, 1, 2 in decreasing order.\nAnswer: 88, 2, 1, -5, -3984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 - 4. Let t = -8403\/64 - 7\/192. Let l = 132 + t. Which is the smallest value? (a) -5 (b) r (c) l (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 3*x + 9. Let f be (16\/x)\/(26\/39). Find the common denominator of -10\/9 and (-58)\/f + (-7)\/28.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v - 4*l - 8, -5 = 4*v + 5*l + 7. Let a(i) be the third derivative of i**6\/120 + 3*i**5\/20 - 7*i**4\/24 - i**3\/6 - i**2. Is a(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (1 + sqrt(1700))**2 + -2.\nAnswer: 20*sqrt(17) + 1702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + 59 + (-6 - (8 + -12)) + -18.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -5*u + 1462, -u - r = 4*u - 1464. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39, -82, -125, -168?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -132 = -4*v + 2*r - 126, 3*v - 4*r - 17 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + a - z - 14 = 0, -5*a = -5*z - 40. Let u(b) = -5*b - 1. Let m(n) = -6*n. Let s(d) = 6*m(d) - 7*u(d). Let x be s(a). Solve -x = -r - r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1000 and 439400?\nAnswer: 2197000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 296866 is divided by 59311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -303200 + 1544?\nAnswer: -301212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 2696 divide 646452280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.57319 to two decimal places.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 100 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j - 3*n - 22 = 0, -241*j + 2*n + 20 = -245*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 6*a**2 + 2*a + 2. Let o(f) = -6*f**2 - 3*f - 3. Determine 6*i(x) + 4*o(x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 57361970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2216*l + 3955 = -2103*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 242 (base 5) to base 11\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 45*a + 2831 = -41*a, -5*a = 5. What is the highest common factor of 105 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29941249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*u**4\/2 - 22640*u**3 - 76885440*u**2 - 116045757440*u - 65681898711040.\nAnswer: -5*(u + 2264)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -254 + 258. Put 6, 0, n in descending order.\nAnswer: 6, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -2*n**3 + 86*n**2 - 84*n - 24. Let l be p(42). Let m(i) = 20*i**2 + 41*i + 194. Let g be m(l). What is g rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c + 8. Let q be d(6). Let y = 0.469 + -0.069. Sort q, 2\/3, y in decreasing order.\nAnswer: q, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -32 - -30. Let r(l) = 51*l**2 - 4*l - 3. What are the prime factors of r(w)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 12512878 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 508332460 is divided by 523.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 - 1\/(-2))*26. Let v = r - 10. Suppose -v = -3*m + 18. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 16 = s. Is 8 a factor of ((-6)\/s)\/((-7)\/(-196))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 11, 63, -1.9 in ascending order.\nAnswer: -1.9, 11, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(2\/29)*s)\/s*s)\/(s*s*s**(1\/5))*(s**(-1\/4)\/s*s*s)**(1\/31)*(((s**(-2\/5)\/s)\/s)\/(s\/s**(9\/4)))**(-3\/2) assuming s is positive.\nAnswer: s**(22229\/35960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f**2 - 11*f**2 + 0*f**2 + (-3 + 3 + f)*(-2*f - 3*f + 4*f))*(-4*f**2 + 5*f**2 + 0*f**2) - 5*f**4 - 8*f**4 + 8*f**4.\nAnswer: -17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -17.0731 rounded to one dp?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(12) - (3 + sqrt(3) - sqrt(3) - sqrt(3) - sqrt(3))*1)*5 - (-5 + sqrt(24)\/((1*sqrt(64))\/sqrt(8)))*-4)**2.\nAnswer: -1440*sqrt(3) + 2628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-7021)\/5236 + 1*(-3)\/(-33). What is the closest to 0.6 in -0.5, -2, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 414 minutes before 2:27 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in fourty-nine quarters of a meter?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 116 = -5*n, -3*n = -y + n + 16. Calculate the least common multiple of y and 6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 71988817 to the nearest integer?\nAnswer: 8485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -6 - 13 + 2237*g**2 + g + 20. Let l be (1\/2)\/((-3)\/6). Is u(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-45507)\/(-1530) + 2\/5. Let c = h + -181\/6. Let v = -32\/85 + c. Sort 0.3, v, -2\/9 in descending order.\nAnswer: 0.3, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -14*o + 11*o - 10 + o**2 + 9*o. What is the units digit of s(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -161 + 164. Suppose -v*d + 312 = -3. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18858652 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17963 + 27387. Is 124 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1108*a**3*l + 269487672*a**3 - 1952*l wrt l.\nAnswer: -1108*a**3 - 1952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 506 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h + 8 = k - 12, -h - 4 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(34)\/(sqrt(162) - -2*sqrt(162)) + -4 + (-1*sqrt(17) + sqrt(17))**2 + (2*sqrt(612))**2.\nAnswer: sqrt(17)\/27 + 2444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 - 22*p**2 - 47*p - 20. Let f be q(24). Find the third derivative of 37*u**4 - u - 28*u**f + 12*u**2 - 5*u**2 wrt u.\nAnswer: 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 59 + 2*o - 89 - 57 to the form m + n*o and give m.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7014, 7012, 6998, 6966, 6910, 6824, 6702?\nAnswer: 6538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k + 465 - 931 + 466. Let w(j) = -24*j. Give w(s(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 18876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3 - 3*o**2 - 11. Let h be k(-4). Suppose 0 = 19*d - h*d + 42. What is the nearest to d in 0.4, -0.1, 2\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21297602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/5 + 520\/(-25). Let z = t + 37. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2082 and 145740.\nAnswer: 145740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2. Let d(y) = 631*y**2 + 1669*y**2 - 1394*y**2 - 4623*y**2 - 1236*y**2. Give d(l(q)).\nAnswer: -4953*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -25690 - -25716. Solve -v*c + 17*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.502 + -0.18. Let k = 0.022 - y. Let j = 0 + 0.1. Which is the nearest to j? (a) -2\/11 (b) 2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, w: 6, k: 6, o: 5}. Give prob of picking 3 q and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 46\/27 - 592\/189. Suppose -2*q + 5*w + 21 + 12 = 0, 2*q + 2*w = -2. Suppose 5*b = q*o, -b = -o + 6*o. Is o at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, j: 4, z: 1, w: 3}. Give prob of sequence jz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 243*p**4 - 1704*p**3 + 2694*p**2 - 1248*p + 15 = 0.\nAnswer: 1\/81, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9 + -6. What is the common denominator of 23\/10 and (-2)\/(-16)*(26 - f)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:35 PM and 4:53 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1019, 1008, 995, 980, 963?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i**3 + 12*i**2 - 8*i + 9. Let j be f(11). Suppose -j = -2*d + 4*l, 4*d - 4*l = -7*l + 106. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 86 is divided by (-176)\/20*15\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0030234274 to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 57338902 is divided by 808.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is (3 + -4)*218\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10281 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**3 - 12*g**2 - 690*g - 7479. Determine r(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -115700341 - 62?\nAnswer: -115700403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yxnxnnnxnnx. Give prob of picking 1 x and 1 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1876, -1850, -1882, -1996, -2216, -2566, -3070, -3752?\n\"Answer: -4*t**3 - 5*t**2 + 69*t - 1936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -131 + 152. Suppose n*p - 9 = 54. Suppose 8*o = 3*o + 45. Solve -o = 3*c + p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the first derivative of -20*r**7\/7 - 8*r**3\/3 + r**2\/2 - 267. Find the third derivative of u(k) wrt k.\nAnswer: -2400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 132*r + 10*r + 7601 - 3767 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 4*p = 159 + 75, -y - p = -129. Let h = -6 + 6. Suppose y = 5*z - h*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-38)\/(-57))\/(6\/36) + -17.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 67001\/100 + -670. Let x = 219\/1900 - t. Let w = -7 - -11. What is the second smallest value in w, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of k*p**4 - 4*k*p**2*t + k*p + 2*k*t - 265*k + 11*p**3*t wrt p?\nAnswer: 12*k*p**2 - 8*k*t + 66*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(1\/5)\/j)**(-14\/5)*j**(-5)*j**(9\/5) assuming j is positive.\nAnswer: j**(-24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -171 - -172. Is v*(-5)\/(-20)*316 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 175*h + 3606 = 181*h. Suppose -27*a + 25*a = i - h, 0 = a - 3*i - 318. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 1389 (b) -5 (c) -8 (d) 27 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -8*l**2 + 9*l - 8. Let n(g) = -g**2 + g - 1. Let q(m) = 21*n(m) - 3*t(m). Factor q(u).\nAnswer: 3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -u**3*x**5 - 102*u**3*x**3 - 3*u**3*x + 8*x wrt x.\nAnswer: -20*u**3*x**3 - 612*u**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.45856255 rounded to 4 decimal places?\nAnswer: -0.4586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 28909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109934*o**3 - 826*o**2 - 889*o**2 + 1714*o**2.\nAnswer: 109934*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*w + 17*w - 30213 = 0. What are the prime factors of w?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-28)\/18*(-129)\/(-344))\/((-91)\/104).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 711 is divided by 90?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 14286286 or 14286293?\nAnswer: 14286293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r = 5*m - 5, -3*r - 7 - 20 = -7*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -6759*x**4 - 153 - 90 + 7451*x**4 wrt x.\nAnswer: 2768*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*(b\/(b\/b**8))\/b)**(-1\/17)\/(b**(-13\/5)*(b\/(b\/(b\/(b*b*b*b**3))*b))\/b) assuming b is positive.\nAnswer: b**(776\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 644, 630, 630, 650, 696, 774, 890?\n\"Answer: v**3 + v**2 - 24*v + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1697716609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1\/380 - -1513\/2660. Which is the closest to p? (a) -2\/13 (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 13*q - 22. Let i(b) = b**3 + 3*b**2 + 3*b + 4. Let h be i(-6). Let x = 146 + h. What is the remainder when g(7) is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -166*c**3*x**2 + 88725*c**3*x + 13*c**3 - 67526*c*x**2 - c - x**2 - 1 wrt x.\nAnswer: -332*c**3 - 135052*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + (sqrt(243) + 0)**2)*-3 + ((0 + sqrt(243) - sqrt(243))*-4*2)**2)*-6*-3.\nAnswer: -13122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes before 3:10 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 11072*d**3 - 10772*d**3 - 939*d**2 - 320 - 1200*d + 20*d**4 - 26*d**2 - 40*d**4.\nAnswer: -5*(d - 8)**2*(2*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -9\/71, -17, -605\/2?\nAnswer: -9\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 1563*x - 254758. Calculate k(163).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**4 + 76*j**3 - 414*j**2 + 680*j - 344.\nAnswer: 2*(j - 2)**2*(j - 1)*(j + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 37955.56 milligrams in micrograms?\nAnswer: 37955560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 190887.\nAnswer: 3, 63629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*i - 68 + 10 = 38. Let c(u) be the second derivative of 0*u**2 + 23*u + 4\/3*u**4 + 0 + u**5 + 4\/15*u**i + 2\/3*u**3. Find s, given that c(s) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*t = 46*t - 119*t + 1020 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*l - 3*b + 6 - 30, 4*b - 3 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -69 (b) -36\/61 (c) 4 (d) 2\/23 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 881, 1454, 2027, 2600?\nAnswer: 3173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2898728207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2887 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from {v: 3, m: 5, h: 8}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**3 + 7*k**2 + 7*k - 10. Let p = 14 + -12. Suppose -t + p*t = 21. Calculate the remainder when f(7) is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 20 - -70. Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 120 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.068 + 0.0679898. What is l rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8978 + 14724. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 314 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4895.\nAnswer: 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1216)*-4*-2)**2*-5 - ((-2 + sqrt(1539))*1 + 2 + sqrt(1539) + -3)**2.\nAnswer: -395285 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - -1 - 12) + (34 - 47).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 181 is divided by 145.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 632*g**2 + 34*g - 11. Is h(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-1\/5)*l)\/l**(-9))\/(l*l\/(l*(l\/(l**(-1)*l))\/l))**37 assuming l is positive.\nAnswer: l**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -14 + 2. Let m be 3\/4 - 51\/s. What is the second derivative of 0*z - 3*z**5 + 2*z**m - z wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 261 - 239. Let z = 26 - g. Put -2\/7, z, 1, 0.3 in increasing order.\nAnswer: -2\/7, 0.3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12 + -23. Let z = -7 - i. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1941 and 44.\nAnswer: 85404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1851, 1760, 1663, 1560?\n\"Answer: -3*c**2 - 82*c + 1936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x. Let l(a) = a**2 + 4*a + 1. Let d(q) = 4*j(q) - l(q). Suppose -5*s + 4*m - 13 = 0, -s - 2 = -4*m + 3*m. Is d(s) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 36 = -3*r + 7, -3*r + 3*b = 39. Suppose -11 = -2*u + 11. Let f = r + u. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, b: 1, x: 2, t: 9}. Give prob of picking 1 g and 1 x.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssrspqis. What is prob of picking 1 s and 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/(-9) - (-5)\/(-2). Let o = -8\/3 - p. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 50, 180579 in decreasing order.\nAnswer: 180579, 50, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-1))**(-2\/27))**(-1\/7) assuming u is positive.\nAnswer: u**(-2\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*u**3 + 3*u**3 - 3*u**3)*(-2*u - 1 - 1 + 4) - 37*u**3 + 37*u**3 - 7*u**4.\nAnswer: -11*u**4 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 158434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -4 less than -0.04244527?\nAnswer: 3.95755473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of -g**5\/120 + g**4\/12 + 5*g**3\/6 + 5*g**2. Let a(w) be the first derivative of p(w). Determine a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -24*b*z**2 - 7470*b + 138300*z**2 wrt b.\nAnswer: -24*z**2 - 7470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1011110100001 (base 2) in base 12?\nAnswer: -3601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 38a66 (base 14) to base 7\nAnswer: 1116656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 1 + t)*(801*t**2 - 192*t**2 + 543*t**2) to s*t**2 + v + p*t + c*t**3 and give c.\nAnswer: 1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:50 AM and 7:18 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 4}. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*i + 2*i - 4*i)*(-8 + 6 + 12)*(5*i**3 - 3*i**3 + 0*i**3).\nAnswer: -160*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2501641 is divided by 428.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 2*g - 1. Let t(v) be the first derivative of 3*v**4\/2 - v**2 + v - 3. Suppose -2*u = 3*k + 13, 2*u + 5*k + 26 = 3*u. Let s be t(u). Determine j(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 29 - (23 - (-59)\/10)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, -11, -0.24, -6.\nAnswer: -11, -6, -0.24, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2*b + 2)*(0*b**3 + 0*b**3 - 2*b**3 + (2 - 2 - 5)*(4 - 4 - b**3)).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 260\/156*3\/2\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-12)\/(-28) - 42108\/98301. Let h = 229336\/154473 + n. What is the common denominator of h and 7\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, 0.004, -0.4, -0.047?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes before 4:42 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -273 - -315. What is the common denominator of c and 27\/(-5) - 2\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + 7 - (77 - (-1 + 25)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 47505500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 3*l - 22. Let p be x(10). Find the first derivative of p*a**2 - a**2 + 6 - 21 + 2*a**2 wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -685165510 to the nearest 100000.\nAnswer: -685200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 71 - 67 - 4*k + 2*k. Let i(b) = -b**2 - 6*b - 4. Let l be i(-6). Let n be a(l). Solve -2*s - 4*w = 2*s + n, -4*s = 5*w + 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1256 = 4*n - 2*u, u = -3*n + 779 + 168. Calculate the highest common factor of 45 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4658271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 + -22225?\nAnswer: -22227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1743, 1757, 1771?\n\"Answer: 14*w + 1729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -129 divided by -9\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*g + 5*g - 3*g)*(-2*g**3 - 2*g**3 - g**3) + 5*g**4 - 3*g**4 + 0*g**4.\nAnswer: 17*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/6 + 1)\/(4\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + h = -60, c - 5*c + 120 = -4*h. Let o = c - 29. What is the greatest common factor of 11 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:55 AM and 5:20 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -2*c**2 + 2. Let v(z) = 22*z**2 - 1. Let g be v(1). Let s = g - 28. Let t(o) = o**3 - 7*o**2 + 6. Determine s*r(q) + 2*t(q).\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 288 = 273 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -80 + 115. Let j = 34.999997 - b. Round j to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes after 6:44 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 19*y**3 - 13*y**2 + 19. Let b(n) = -27*n - 1229. Let u be b(-46). Let v(s) = 9*s**3 - 6*s**2 + 9. Give u*v(d) - 6*o(d).\nAnswer: 3*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (55\/42)\/(-5)*113\/(164076\/(-176))\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 342*k + 294. Let v(s) = -171*s - 138. Give -7*p(x) - 15*v(x).\nAnswer: 171*x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000004721 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 895 - 29537\/33. Suppose 4*g + 0 - 4 = 0. Are h and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2267832 divided by -566958.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -191, -1425, -4771, -11285, -22023?\nAnswer: -38041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1223*x**2 - 2713*x**2 - 2534*x**2.\nAnswer: -6470*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9906 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**2 + 134*s + 587. What is the remainder when n(26) is divided by 790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2821249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.07702, 1\/13, -0.26.\nAnswer: -0.26, -0.07702, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 2*a - 10. Let i(g) = -g**3 + 15*g**2 + 2. Let k be i(15). Suppose -3*s - 3*r = -8*r - 31, -18 = -k*s + 2*r. Determine z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -25423.6 and -291?\nAnswer: 7398267.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*-1*(-3*((sqrt(99) - 4*(sqrt(99) + 1)) + -3 + -4))**2*4.\nAnswer: -72864 - 14256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (720\/145 - 5)*(4 - (7 + -4)). Sort r, 0.1, -0.2, -2\/11 in descending order.\nAnswer: 0.1, r, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -6 (b) 277 (c) 4 (d) 5 (e) -2\/7 (f) 3\/208\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w = -g, 20 = -730*w + 735*w - 5*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*y = 11*y + 5. Suppose -3*d - 2*j + y = -9, 10 = 4*d + j. Suppose 0 = -d*g - 2*k + 22, 2*g - k = -3*g + 85. Solve 4*z = 8*z + g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 168979*j + 6928146. What is s(-41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes after 4:32 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 3\/4244 and 41\/448.\nAnswer: 475328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 82 - 80. List the prime factors of 280\/30*(m + 66 + 4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12860*j + 144 = 12851*j. Let z(y) = 2*y**3 + 31*y**2 - 18*y - 25. What is z(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32*x**2 + 182*x**2 - 50*x**2 + 54*x**2.\nAnswer: 218*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -704, -710, -728, -764, -824, -914, -1040, -1208?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + u = -5400000. What is u rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 525020.4 millennia to years.\nAnswer: 525020400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 479, 6178, 22027, 53102, 104479, 181234, 288443, 431182?\nAnswer: 614527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.204 - -0.405. Round h to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 60 = -4*h, h - 3*h = -x + 24. What is the units digit of (-32)\/(-6)*x\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 275345651 and 40817?\nAnswer: 5831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 15833756 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the second derivative of c**4\/8 - 3*c**3\/4 + 3*c**2\/2 + 5*c. Suppose b(y) = 0. Calculate y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-462)*(-36)\/3)\/((-1)\/(-7))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-18*h - 173*h + 25*h)*(1 - 1 - h) + (h + 0 + 0)*(1 + 5*h - 1) to the form r + f*h + k*h**2 and give k.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(3\/10)*k*k)**(-27)*(k\/k**(-18)*k)\/k**(-5) assuming k is positive.\nAnswer: k**(-371\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-46420)\/(-19932))\/((-1)\/(-3)) + (-8 - (-10)\/10).\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - 2*r**2 - 4 + (1 - 3 + 0)*(0*r**2 + 4*r**2 - 2*r**2) + 3*r**2 + 2*r**2 - 3*r**2 + 1843 - 1843 - 1376*r**2 + 25*r**2 - 1887*r**2.\nAnswer: -3242*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -3422*o**2 - 544 + 1401*o**3 - 478*o**3 - 317*o**3 - 10*o**5 - 66*o**4 + 952*o**3 - 840*o + 3324*o = 0.\nAnswer: -17, 2\/5, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3306 and 63365.\nAnswer: 380190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 14) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/56 and -111\/98?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1037354 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 72 and 2124.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*b = -12*b + 6. Sort b, -2, 5 in decreasing order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9180 divided by 1836?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-21)\/6)\/(-7) - (-1617)\/66. Let w(g) be the third derivative of 0*g**3 + 0 + d*g**2 + 0*g + 1\/30*g**5 + 0*g**4. Let i(q) = -8*q. Determine w(i(o)).\nAnswer: 128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 10\/3? (a) -1\/2 (b) -4 (c) 0.0252\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -7*r**2 - 5*r - 5. Let f(l) = 3*l**2 + 2*l + 2. Let z(v) = 5*f(v) + 2*g(v). Let y = 2 + -2. Let u(p) = 0 - 3*p + y. What is z(u(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is b (base 14) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*g**3 + 495533*g**2 + 1261416*g + 540612 = 0. Calculate g.\nAnswer: -2, -6\/11, 45051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + u + 12 = 0, -d - 9 = -4*d - 5*u. Let i(z) = -3*z + 0*z + d*z + 7*z**2. Let t(x) be the third derivative of x**5\/60 - 8*x**2. Determine i(t(y)).\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 + -11430?\nAnswer: -11421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8748873 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 11199.9 or -1?\nAnswer: 11199.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 42477 + -41160220\/969. Find the common denominator of 14 and n.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -122643\/56 + 2190. Calculate the common denominator of n and ((-1)\/6)\/((-6)\/948)*(-392)\/(-1568).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 179301 (base 10) to base 8.\nAnswer: 536145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31111497 is divided by 1750?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 165 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 70 or 24788\/347?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w + 4*w - 3*w)*(-3 - 2 + 1)*(-3*w**2 + 2 - 2).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 0 - (-304)\/30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -514 (base 7) in base 2?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + 3 + (-348)\/406*(1428\/9)\/2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**2 + 5*q - 2. Let v(z) = z - 1. Let n(g) = g - 11. Let m(u) = -n(u) + 2*v(u). Let y be m(-7). Suppose 8 + 0 = -y*t. Determine f(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/(-1))\/(-1*2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -2\/3, -0.0645, 0.5, -0.6, -2\/35?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 1378107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + (28 - 8) + -39.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -783, -1498, -2203, -2892, -3559, -4198, -4803?\nAnswer: -5368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2680 and 109610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -378 = -58*w + 54*w - 66. Calculate the greatest common factor of 8229 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11122 + 1002010?\nAnswer: 1020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*y - 207 - 123. Suppose -y = -21*r + 51. Solve -5*d = -r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 37.0038 + -37. Let j = b + -0.014. Round j to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 136 is divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -3*h - 0*h + 9, z = 5*h - 15. Find the third derivative of -2*x**3 - h*x**2 + 0*x**3 + 2*x**2 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 6*d**2 + 300*d + 864. What is f(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -96818715+-0.1\nAnswer: -96818715.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.13 from -10518.\nAnswer: -10517.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.1 (b) -19 (c) -7\/61 (d) -0.035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -16 + -8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36)\/((-143)\/(9009\/1134)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1214662869 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - ((5 - -3) + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 2*f - 86510, m - 9*f - 21650 = -5*f. Does 105 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 715 - 714.92. Which is the fourth smallest value? (a) -2\/19 (b) 2 (c) -2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -458.7 + 431. Let y = m + 28. Which is the nearest to 2? (a) -0.5 (b) y (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*(-1 + 3)*1. Let f = a + 7. Suppose -2*h = f*j - 234, -h - 74 = -5*j - 221. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 139 divide 137777972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Do -10346406 and -10346406 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -4*o + 38. Calculate the highest common divisor of 152 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 821*h**2 + 230701*h - 94. Calculate m(-281).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -23*f + 28*f. Let j be (0 - f)*((-20)\/(-15))\/(-4). Find the first derivative of -8*t + 14*t + j - 6 + 21*t wrt t.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 238 (base 10) to base 15\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 2*s + 4 + 2 = 0, 5*s = 15. Let n(q) = -5 + a*q - 6*q - 8*q**2 + 13 - 3*q + 3*q**3. What are the prime factors of n(5)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -3*r**2 + 3*r + 2. Let y be i(-1). Which is the second biggest value? (a) 4\/9 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 108793051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -22*a*h**2 + 2*a*h*z + 3*h**2 - 42*h*z wrt a?\nAnswer: -22*h**2 + 2*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -5*z**2 + 4. Let h(w) = 6*w**2 - 5. Let f = -62 - -57. Determine f*n(q) - 4*h(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -4*c. Let r(s) be the first derivative of -103*s**2\/2 + 536. What is w(r(a))?\nAnswer: 412*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -147*s - 17 = 7*k - 143*s, -3*s = -k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000111100111 (base 2) to base 11.\nAnswer: 3497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -3*z - 2*s - 1, 4*s + 16 = 0. Calculate the lowest common multiple of z and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 574001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*w = 27*w. Solve 0 = 4*d - 0 + 4, 5*x - d + 14 = w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*q**2 + 6*q**2 - 196*q + 196*q.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 42*o**2 - 1022 + 1022 + (1 - 3 + 1)*(o - o - o**2) in the form s*o**2 + d*o + a and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 9460*x - 5. Let j(t) = -2672454*t + 1413. Give -5*j(b) - 1413*k(b).\nAnswer: -4710*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 + 0 = 2*k. Let f(y) = -562499*y**2 + 3*y - 4. Let q be f(k). What is q rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10993937?\nAnswer: 10993937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 10*p - 4*d - 28, -p - 12 = 4*d. What is the closest to 2 in 13, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7.79404ns?\nAnswer: 0.00000000779404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -4*d + 3. Let y = d + 1. Find the second derivative of y*o + 4*o**4 + o - 2*o**4 wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -10*n - 3. Let d(f) = 7*f. Calculate d(x(a)).\nAnswer: -70*a - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/10 + (-10388)\/(-530) + -13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 127993335?\nAnswer: 3, 5, 8532889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 101 - -132301?\nAnswer: 133002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - 2.5. Let t = j - 4.5. Let u = 139 - 976\/7. Sort -1, t, u in decreasing order.\nAnswer: u, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -291.\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -607*s**2 + 11*s - 10. Let r(d) = 1215*d**2 - 20*d + 18. What is 9*k(y) + 5*r(y)?\nAnswer: 612*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 44*p**2 - 54*p**2 + 43*p**2 as d*p + x*p**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 4 = 1. Suppose -4*c - 5*v + 12 = -9*v, n*c + 5*v = 9. Solve 0 = -5*r - 3*m + c + 23, -5*m + 6 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 443542103.\nAnswer: 79, 97, 57881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor w**5 - 9*w**4 + 22*w**3 - 32*w.\nAnswer: w*(w - 4)**2*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -86126, -86068, -86010, -85952, -85894, -85836?\nAnswer: -85778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d - 45 - 51 = 0. What is the greatest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -8*a**2 + 232*a - 972. Calculate z(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -20 - 14 - (0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1433839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/9, -992, 4\/3?\nAnswer: -992","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 330549 is divided by 110181?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (1 - 187\/55).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 31262 - 31262.4. Let b = -469\/3 - -161. What is the third smallest value in b, -0.2, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:30 PM and 1:22 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14079 and 4199.\nAnswer: 239343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 44, 52, 66, 86, 112, 144?\n\"Answer: 3*h**2 - h + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**3 + 9*k**2 - 21*k - 2. What are the prime factors of y(-9)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 98, 382, 856, 1520?\n\"Answer: 95*a**2 - a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**3 + 12*u**2 + u - 18. Determine r(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 135 a factor of 36469170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -q + q - 2*q**5 + (-43*q + 2 + 19*q - 3*q)*(3*q**2 - 2*q**2 + 2*q**2)*(-2*q**2 - q**2 + 2*q**2).\nAnswer: 79*q**5 - 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-26)\/4*(-15 - 1). Let q be (-3051)\/63 - (60\/28)\/(-5). Let a = q + p. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3 + (-1 - 11\/(-2)) + -6)*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(33)\/sqrt(3) - -6*2*sqrt(11)) + ((sqrt(77)*1 - sqrt(77))*1)\/sqrt(7))**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -b + 378, 0*y = -b - 3*y + 373. Calculate the remainder when b is divided by 129.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 63432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6*v**2 - 1 + 25 + 5 + 21*v**2 wrt v?\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7 + 6.86. Let q = n + -0.16. What is the smallest value in q, 1, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3\/2 (b) 0.5 (c) 1.72 (d) 2\/25 (e) 4 (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that -1968*a**3 - 3844948*a**2\/5 + 974364*a\/5 - 3128\/5 = 0.\nAnswer: -391, 2\/615, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 22303 - 446?\nAnswer: 21524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2206862 and 2744.\nAnswer: 8827448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(1\/4)*p\/((p*p**(-1\/63))\/p) assuming p is positive.\nAnswer: p**(319\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -1111011000100110000100 (base 2) in base 6?\nAnswer: -222234500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 260715, 521466, 782217, 1042968, 1303719, 1564470?\nAnswer: 1825221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {f: 1, u: 1, p: 5, c: 12}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 154 - 143. Solve -5*w - 1 + o = -2*u, 4*u - 32 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6 + -2 - 0\/(-1 - 4). Suppose 5*u - 17 = 2*d, 4*u = -u + o*d + 9. Solve -2*i - 2*j + 8 = -0*j, -2*j = -u*i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 557555 and 2090.\nAnswer: 12266210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 3\/37, -0.4, 0.07, 5?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-1\/10))**(3\/25)\/(s**(1\/2)\/s**(-2\/27)))**(-18\/7) assuming s is positive.\nAnswer: s**(3956\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((408\/90)\/(-17))\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10654 is divided by 9175?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*y + 440 = -132*y - 275 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 12336 divided by 771?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 1571948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 76344 times 62\nAnswer: 4733328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Add 0.6 and 531173290057.\nAnswer: 531173290057.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = -21*f + 19*f. Let t = f - -34. Let g(h) = -6*h**3 + 3*h**2 + 2*h + 1. What is the remainder when g(-2) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.217 - 157.217. Let j = i + 157.3. Which is the closest to -1? (a) -7 (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**2 - 83*t - 578. Let l be w(90). Let u = 1118 - 572. What is the highest common factor of l and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1891*x + 1894*x - 1005 = 0. Let z = -153 + x. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -7*c**2. Let o = 221 + -219. Let i(w) = 292*w**2 - 284*w**o + w + w. What is i(b(z))?\nAnswer: 392*z**4 - 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(52)*3)**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 28 = 2*n, -4*n + 2*n + 33 = 5*h. Let d(b) be the first derivative of 6 - b**2 + 2*b + b - h*b. Give d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 164*s - 14960 = 96*s. Let o = 16 + 28. What is the greatest common divisor of s and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 240411233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 2, -7*t = -2*c - 4*t + 134039. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 31\/6 of a hour?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 36368*y - 254573. What is v(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 7938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2 + 4*f + 1. Let q be w(-3). Let i be (q - 8)*2\/(-5). What is the nearest to i in -0.5, 0.2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -98142 - 7?\nAnswer: -98149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is n in 0*n + 0 - 1\/6*n**4 + 0*n**3 + 1\/6*n**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 4*q - 9*q = 563, 4*q - 165 = -o. Are 200 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 716 divided by -113793\nAnswer: -716\/113793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 2*j**2 + 8*j - 6. Calculate the remainder when 66 is divided by z(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2 + 1)*(1 - 21). Let o = 0 - l. What is the common denominator of o and -21\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.1 - -2.0909. Round d to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-2)\/(-3))\/(-1 + 4\/12). What is the third smallest value in -0.8, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 16\/88 - (-2)\/(-11). Let z(n) be the third derivative of 1\/35*n**5 + 0*n**3 + 0*n - 6*n**2 + j + 1\/21*n**4 + 1\/210*n**6. Find s such that z(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the second derivative of 1\/51*b**4 + 5\/17*b**3 - 1\/357*b**7 + 0 - 7\/85*b**5 - 9\/17*b**2 + 26*b + 7\/255*b**6. Let k(v) = 0. Calculate v.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the second derivative of 4*w**2 + 1\/10*w**5 + 0 - 3*w + 8\/3*w**3 + 5\/6*w**4. Factor j(h).\nAnswer: 2*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 106825.\nAnswer: 5, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (6 + 4) - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4157 + 4160. Which is the nearest to -0.1? (a) 2\/5 (b) k (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1 + 2)*(0*v**3 + 0*v**3 - 3*v**4) + (v**4 + 0*v**4 + 2*v**4)*(-2 - 4 + 4).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -359 - -609. Let f = q - 91. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (9\/30*1)\/(20\/660) and -17\/1289?\nAnswer: 12890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 12 = d. Let f(k) = 3*k - 4. What is f(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -899, -1777, -2617, -3401, -4111, -4729, -5237?\nAnswer: -5617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 85040173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22 - -12221210102?\nAnswer: 12221210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(-10))\/((r\/r**(-9))\/r*r*r))**(1\/6)*((r**0)**(-2\/23))**(-9\/5) assuming r is positive.\nAnswer: r**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -68237 + 68239 - 9*r - 13*r**3 - 17*r to the form j*r + p*r**3 + d*r**2 + g and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the third derivative of 0*p**3 - 19\/24*p**4 + 0 + 3*p**2 + 0*p. What are the prime factors of j(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81290.\nAnswer: 2, 5, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p - p**2 + 4*p - 53*p**3 - 7 + 5 + 52*p**3 + 3. Let s(y) = -y**2 + y + 1. Calculate -r(o) + s(o).\nAnswer: o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -5, 1.11 in descending order.\nAnswer: 5, 1.11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17755.\nAnswer: 5, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 27553, 55100, 82647?\n\"Answer: 27547*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -1024305 (base 8) to base 7.\nAnswer: -2213461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5641?\nAnswer: 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**2 - 5*j + 2. Determine t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the first derivative of 5*m**3\/9 - 340*m**2\/3 - 1246. Let q(l) = 0. What is l?\nAnswer: 0, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 185 + -195.3. Let c = -10.1 - d. Suppose 4*k + 4*z + 12 = 0, -z - 8 = 3*z. What is the closest to k in -3\/7, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5583465 a multiple of 701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 3*m - 2*m + 1 + 4. Let g be n(-5). Let j = g - -1. Solve 4 - j = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-19 - -4) + -2 + -9 - (4 + 0)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-2)*(-40)\/(-45)*24\/(-32)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8.45700633 + 8.457. What is i rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 92 - 55. Suppose 2*t - s = -47. Is ((-4)\/(-5))\/(t - (-1385)\/275) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12 - -20. Let r(c) be the third derivative of -2*c**4\/3 - c**3\/3 - 8*c**2. What is the remainder when r(-1) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p + 0*p - 2*p)*(3589 + 980 - 376)*(5 - 6 + 3)*(0*p + 0*p - 2*p).\nAnswer: 33544*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -21415 - 0?\nAnswer: -21415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * 4.6602\nAnswer: 0.93204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 7*z**2 - 82*z + 1773. What is h(0)?\nAnswer: 1773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2038238 + 3500395. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*d*r**3 + 299*d*r**2*z**3 + d*r**2*z**2 - 5*d*r*z**3 - 5711*r**3*z**3 - 2*r**2*z**2 wrt r?\nAnswer: 48*d - 34266*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88 = 2*m + d, 5*m + 14*d = 15*d + 234. Solve 3*w = -m + 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**3 + 101*v**2 + 328*v - 1609. Determine i(104).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*c**2*t*y + c**2*t - 24*c**2*y + 126880*c**2 - 590*c*y + 82*c - t*y - 4*t + 7*y - 1 wrt c.\nAnswer: 4*t*y + 2*t - 48*y + 253760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -53010, -211983, -476944, -847899, -1324854, -1907815?\nAnswer: -2596788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -2*g**3 + 3*g**2 + 3*g + 2. Let j be l(-1). Suppose 2*c + 6 = 4*n, -2*c - j*n - 2 + 20 = 0. Solve 0 = -t - 5*o, t + 2*o = c - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12627 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11630 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1216.6 - -1212. Sort 2\/9, 3, d, -2 in ascending order.\nAnswer: d, -2, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -10*b + 9. Let j be z(-20). Let g(u) = u**3 + 3*u**2 - 23*u + 10. Let y be g(5). Calculate the highest common factor of y and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:52 PM and 4:09 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 9*q + 9. Let h(o) = -8*o - 8. Give 7*h(l) + 6*y(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 121.0370833 take away 0.4?\nAnswer: 120.6370833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is ((-15)\/(-9))\/(325\/17027790) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1464 and 8.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:21 PM and 2:00 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(1\/8)\/b**(1\/12))**(-1\/39))**28 assuming b is positive.\nAnswer: b**(-7\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 3*v - 8. Let k be u(4). Let o(d) = -d**3 + 5*d**2 - 4*d - 5. Calculate o(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5*(-1)\/1*-3*9\/315?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -13 + 13 - 13*b**2 + 0*b + 0*b + 2*b**2 + (1 - 1 - 2*b)*(-3*b - 2*b + 4*b) - 4*b**2 + 4*b**2 - 2*b**2 + 0*b**2 - 20*b**2 - 8*b**2.\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence olww when four letters picked without replacement from {w: 3, l: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k + 24 + 15. Is k equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 times 2.35?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17*(-7)\/(-105) - 28\/(-21)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 74 - 1187. Let v = -229 - x. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 6\/16387 and 83\/1827?\nAnswer: 4277007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 183 and 4819?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (11 - 3) + -7 + 851. Suppose t = 24*f - 12*f. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4985 times -8052?\nAnswer: -40139220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence crgb when four letters picked without replacement from {i: 10, r: 1, g: 1, c: 3, b: 4}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m = 1 - 64. What are the prime factors of (-9273)\/(2 - m)*5\/(-3)?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c\/c**(-1\/4)*c*c**(-2\/21)*c*(c\/c**3)\/(c**(-6)\/c) assuming c is positive.\nAnswer: c**(685\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g\/(g\/(g\/(g**(-18)*g*g)*g)))**(3\/16)*((g**(-29)*g)\/g)\/(g\/g**(-14)) assuming g is positive.\nAnswer: g**(-647\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + o + 70 - 62 = 0, 2*o = -2*v + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -55 + 48. Let s(o) = -3*o - 10. Let z be s(k). Let x be (-6 + z)\/(-15)*(-1 - 5). Which is bigger: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 188304619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10.3*26551.\nAnswer: -273475.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0\/(-1) - (-18)\/45. Let y = 9 + -14. What is the biggest value in 1\/5, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 + 184*q**2 - 886*q - 1522. What is f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 6*f - 3. Let y(d) be the second derivative of d**3\/3 - d**2\/2 + d. Let h(w) = -3*c(w) + 8*y(w). What is the units digit of h(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1072620 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -112 - 120 + 452 - 104 - 116 - 71*v.\nAnswer: -71*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 58 = -8*l. Let t = l - -48. Let z(a) = a**3 - 2*a + 54. What is the remainder when z(0) is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14041698 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -59 + -81. Let j = -1057\/176 - -64\/11. What is the common denominator of (52\/(-80))\/(16\/u) and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j**2 - j**2 + j**2 + 3*j - j**2 - 3*j + (5*j - 3*j - 4*j)*(2*j - 1 + 1) + 0*j**2 - j**2 + 0*j**2)*(14*j**2 - 508 + 508).\nAnswer: -56*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*f - 157*f - 41*f = 755 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = i + 8, 2*i + 20 = -2*l - 2*i. Calculate the common denominator of (5\/(-60))\/(l\/(-46)) and 59\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*6*(-2*sqrt(384)*6 + sqrt(384))\/(sqrt(10)\/((sqrt(245) + ((-2*sqrt(245) - sqrt(245)) + sqrt(245) - sqrt(245)) - sqrt(245)) + sqrt(5))).\nAnswer: 31680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -7 + 2cb?\nAnswer: 2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -1.9 plus 0.14687412?\nAnswer: -1.75312588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 121.9 + -123. Which is the third biggest value? (a) 4 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 890 and 610?\nAnswer: 54290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-7) - (-852)\/42. Suppose 4*g + 0*t = -3*t + c, 3*t = 0. Let f be (-4)\/14 + (-6)\/(-21). What is the third biggest value in f, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 + 2 + -1 + -2 - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 571489098 to the nearest integer?\nAnswer: 23906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qw when two letters picked without replacement from qoddddfdewddfed?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 370 + -350. Let a = 79 - 19. What is the greatest common factor of w and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3202985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 + 289a8?\nAnswer: 28a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -28603454, -28603450, -28603446, -28603442, -28603438, -28603434?\n\"Answer: 4*p - 28603458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the second derivative of 3*o + 0 + 1\/2*o**2 + 1\/20*o**5 + 0*o**4 + 0*o**3. What is the derivative of c(i) wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -920, 2\/7, 17, 7, -0.2, 1\/5 in decreasing order.\nAnswer: 17, 7, 2, 2\/7, 1\/5, -0.2, -920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/45)\/((-65)\/25)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is da5 + 3?\nAnswer: da8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -19.7 - -19.5. Let v = -208 + 2290\/11. Which is the third biggest value? (a) 0.5 (b) -6\/11 (c) v (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes before 7:55 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -6*c**2. Let u(z) = 11774*z**2. Determine u(t(x)).\nAnswer: 423864*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -41955218, -41955236, -41955274, -41955338, -41955434?\nAnswer: -41955568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/5 - (1 - 72\/15). Solve p*j - 3 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes before 1:04 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**3 - 14*j**2 + 32*j + 20. Determine c(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*u + 3183*u**2 - 20*u + 14*u.\nAnswer: 3183*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(8)\/(sqrt(4) - sqrt(16)) + sqrt(2))*5 - ((sqrt(12) - sqrt(36)\/sqrt(3))\/sqrt(6) + sqrt(6)\/sqrt(3)*6))*2.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**3 + 3*x**2 + 120*x - 489. Give h(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.13 - -3.14. Let v = 0.07 - f. What is the nearest to 0 in -2, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(39)\/(-2*sqrt(147) + sqrt(3)).\nAnswer: -sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3231\/2 + -1614. Let v(s) be the second derivative of 1\/6*s**3 + w*s**2 + 0 - 1\/12*s**4 + 17*s. Give v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 149309743 to the power of 1\/2, to the nearest integer?\nAnswer: 12219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*w = 50*w - 23427700000. What is w rounded to the nearest 1000000?\nAnswer: 276000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24 (base 6) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -8.7 * 0.7.\nAnswer: -6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 3*w + 2. Suppose 3*g - 2*m = -4, -2*g = 4*m - 13 - 11. Let p(r) = -g*r + 6*r - 3*r. Suppose 0 = -f + 2*f - q, -5*q = -20. Calculate f*p(u) - y(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 11389*k**2 + 8832. Let w(o) = -15185*o**2 - 11777. Let n(a) = 15*s(a) + 11*w(a). Differentiate n(j) wrt j.\nAnswer: 7600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-93*a**2 + 93*a**2 - 7*a**3)*(4*a + 5 + 0 - 5*a)*(-2 + 2 - 1) to the form i*a**2 + m*a + d + h*a**4 + s*a**3 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 554.9432l to millilitres.\nAnswer: 554943.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be -7 + 0 + (-9 - -8). Which is smaller: q or -7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 10*f**5 + 34*f**4 - 2*f**3 - 44*f**2 - 8*f - 10. Let r(h) = h**4 - 2*h**2 - 1. Let w(l) = -20*r(l) + 2*v(l). Suppose w(n) = 0. Calculate n.\nAnswer: -2, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 777 and 777?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j**5\/9 + 20*j**4\/9 - 56*j**3\/9 + 20*j**2\/9 + 58*j\/9 - 40\/9 = 0. Calculate j.\nAnswer: -1, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times -0.0948\nAnswer: 0.02844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53 + 56 = 5*k - 3*c, -3*k = -5*c - 75. Let i(t) = 17*t - 55. List the prime factors of i(k).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -4*n**2 - 5*n**2 + 5*n**2. Let a(x) = 3*x + 18. Let s(u) = 6*u + 42. Let q(k) = 14*a(k) - 6*s(k). Determine v(q(i)).\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 39*y - 18. Let x(j) = 11*j - 5. Let k(v) = v + 1. Let i be k(-6). Let l(m) = i*z(m) + 18*x(m). Let c(f) = 7*f**2. What is l(c(t))?\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 793 is divided by 227?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -0.3 + 119017454\nAnswer: 119017453.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 40.171 - 0.371. Let g = 44.8 - o. Let k = -3 - -2. What is the nearest to k in 0.3, 2\/5, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 3. Suppose o + 3 = -3*p, -5 = -j*p - 4*o + 3. Let m(u) = u**3 + 5*u**2 - 2*u - 9. Let y be m(-5). Sort y, -3, p.\nAnswer: -3, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 3*n = -n, 0 = 5*b - n. Suppose -2*a + 30 = -b*a. Calculate the remainder when 71 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -253\/6, 41\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - 2*t + 18, -26 = -4*k + t + 35. Suppose -4*r + 75 = -g, -r - 5*g - 35 = -4*r. Calculate the least common multiple of r and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 186 or -2727?\nAnswer: -2727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/9104861 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3.02 + 0.02. Let y = -33\/4 - -223\/28. Let l = -2909 - -2909.1. Which is the closest to y? (a) -7 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 75 and -9954916481799.\nAnswer: -9954916481724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(325)*-2 + -5.\nAnswer: -10*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/616 + 678\/(-336)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (6\/4)\/((-9)\/(-18)). Which is the second biggest value? (a) 0 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -k**4 - 14*k**3 + 942*k**2 + k + 6927676.\nAnswer: -4*k**3 - 42*k**2 + 1884*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (6 - 7)\/(1\/(-4)). Let u(o) = 22*o + 3. Let d be u(m). Let y = -52 + d. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*f + 52*f**3 - 1 - 136238*f**2 + 136238*f**2 to n*f + h*f**3 + g + k*f**2 and give h.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 142589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 8 = -3*y. Let r be -5*8 - (0 + 2). Let n = y - r. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 152504254 and 0.4.\nAnswer: 152504254.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 176547 and -23142?\nAnswer: 199689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -8\/7, 2\/5, -28, -248\/7 in ascending order.\nAnswer: -248\/7, -28, -8\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 20 = 2*b + 7*w, -2*w = -4*b - 30. What is the nearest to 2 in 21\/8, b, -2?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 5 (b) -3 (c) -3\/4 (d) -1\/6 (e) 1\/6 (f) 35\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.17 (b) -0.03 (c) 316 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-48)\/6)\/(2\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**3 - 6*j**2 + 6*j - 5. Suppose 0 = -3*k + 10 - 31. Let b be c(k). Suppose 2*a + 6 - 3 = -5*w, b*a = 5*w + 7. Solve a = 3*m - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -2.6, 0.1, 10, 0.2?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 5 = -5*x, -2*x + 4*x - 70 = 4*t. Does 9 divide t\/(-6)*(-18)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - (12\/50)\/(20 - (-2404)\/(-120)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((n + 4*n - 3*n)*(n - 3*n + 0*n) + 3 - 3 - 2*n**2)*((3*n + 0*n + 2*n)*(0 - 4 - 2) + 0*n - n - n).\nAnswer: 192*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 189.\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v, 1 b, and 1 r when four letters picked without replacement from {v: 5, b: 4, r: 7}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 7957864335 to the power of 1\/2, to the nearest integer?\nAnswer: 89207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 2*v**3 - 9*v**2 - 36*v - 1. Give t(9).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -3\/44, -5, -1\/7, 0.8, 2\/11, -9\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that -32*o**3\/11 + 87184*o**2\/11 + 43598*o\/11 + 5450\/11 = 0.\nAnswer: -1\/4, 2725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 3*l = -8. Let p be (-1)\/(1*(-4)\/l). Find the third derivative of 9*s**4 + s**p - 9*s**4 - 10*s**4 wrt s.\nAnswer: -240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 154\/(-10) - (56\/(-40) + 1). Let d be ((-6)\/q)\/((-6)\/(-330)). Find the second derivative of -d*p**3 - 5*p**4 - 18*p + 41*p**3 - 27*p**3 wrt p.\nAnswer: -60*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*o**3 + 1 + 3*o**2 + 3 + 1 - 2 to x + a*o**2 + w*o + y*o**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 8 = 0, -g - 3*g + 50 = a. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-438)\/(-2336))\/((-1)\/2)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 3 + 3)*((3*y - 2*y + y)*(-3 + 2 + 2) - 2*y + 6*y - 3*y)*(4*y + 9 + 5 - 5*y) in the form q*y**2 + h + o*y and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u = -a + 12, 0*u - 2*a + 5 = -3*u - 3*u + a - 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 404923, 809838, 1214753?\nAnswer: 1619668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 5*l + 11. Suppose 0 = -8*q + 21*q + 26. Let d(h) = -1. What is q*u(p) - 22*d(p)?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -108101*q + 108101*q + 7*q**2 + 8*q**2 + 31*q**2.\nAnswer: 46*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 + -30030002120?\nAnswer: -30030002123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1070018885 to the nearest integer?\nAnswer: 32711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 288018 divided by -48003?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 + (-10150)\/(-350) + 228\/(-10)?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m - 12 = 0, -3*v = 3*m + 1 - 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 943111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 11 + (-3 - (3 - (-7 + 7)) - -7)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 1018400 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**0)**(7\/8)\/(b**(-2)\/b**(-1\/3)))**(-7) assuming b is positive.\nAnswer: b**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -3, -2, -16704.\nAnswer: -16704, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 - -1. What are the prime factors of 22*(10\/(-4))\/t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((5 + 0 - 3)*(0*w**3 + 0*w**3 + w**3) + 27*w**2 - 27*w**2 - 10*w**3)*(3378 + 33*w - 3378) as k*w**3 + p*w + i*w**4 + f + q*w**2 and give i.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 18163058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, x: 2, p: 1, m: 3}. Give prob of sequence emm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -1237 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 4 = 3*a, 3*g - 5 = -2*g - 2*a. Let n = -2257\/6 + 356. What is the common denominator of 20\/8 + (g - -1) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f - 2 + 4. Suppose 0*d + 99 = -5*n - d, -5*n + f*d = 87. Let m = 69 - n. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1030573 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -9 + 9 - 21*w**2 in the form j*w**2 + b*w + o and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 0 + 4)*(5 - 5 + 2) + 27 + 16 - 18)*(2*b**2 - b**2 + 0*b**2).\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 14*v + v**2 + 21*v + 3 - 41*v. Calculate y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.2, -1225, 23\/3, -1?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -23 and 0.13?\nAnswer: -2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -25767*w**4 + 15*w**2 + 2*w + 20?\nAnswer: -618408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3115534 + -5?\nAnswer: 3115527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 2 i when three letters picked without replacement from gigiggiggi.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-17)\/2*(-260)\/10. Let g be 1\/(-4) - l\/(-68). Let i(q) = q**3 - q**2 - 4*q + 6. What is the units digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -38, -41, -46, -53?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20991287, 20991288, 20991289?\nAnswer: 20991290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-18)\/21*(-16)\/84*(-210)\/(-60)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 403*u**3 + 25*u + 22*u - 47*u.\nAnswer: 403*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-456)\/21)\/((97 + 22040\/(-228))\/(14\/(-12)))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(-3)*-1 - (-1486)\/24. Let f = -62 + u. Let w be ((-4)\/30)\/((-1)\/3). Which is the biggest value? (a) f (b) w (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in -2*s**5 + 14836*s**4 - 237044*s**3 + 1332760*s**2 - 2961050*s + 1850500 = 0?\nAnswer: 1, 5, 7402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/2, 1\/194, -25956, -1\/4 in descending order.\nAnswer: 1\/194, -1\/4, -3\/2, -25956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 2 = -5*g, -z + 5*g = -5*z + 42. Suppose 6*u + z = 4*u, 4*u = h - 57. Let l(x) = 7*x**2 + 2*x - 1. What is the remainder when h is divided by l(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*(k**(-29)*k)\/k)\/k**(-4\/13) assuming k is positive.\nAnswer: k**(-360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-330)\/(-132)*(-1)\/20.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 18, v: 2}. What is prob of picking 2 d and 1 v?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -52\/2731487 and -38\/5214657.\nAnswer: 57361227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the first derivative of -2*k**3\/3 + 1. Let n(i) = 12*i + 21. Let o(x) = 41*x + 103. Let h(c) = -7*n(c) + 2*o(c). What is u(h(f))?\nAnswer: -8*f**2 + 472*f - 6962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 125 = 7*f. Suppose 3*u + 4 = f. Suppose 8*t = u*t. Solve -2*h + 6*h + 8 = t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75*j + 46*j + 58 = 0. Solve -w = 4*s - 10, j*s + 4 = -w + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 316 + -321. Which is the third smallest value? (a) s (b) -4 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*((sqrt(225) + (sqrt(225) - 1*(sqrt(225)*-1 + sqrt(225))))\/(sqrt(15)\/(sqrt(18)\/sqrt(6) + sqrt(3))) + -2)*6)**2.\nAnswer: -27648*sqrt(5) + 417024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5.8 - 3.2. Sort -1, 2, 0.2, j.\nAnswer: j, -1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 + 3. Let u = t - 3. Suppose z + u*y = -y, 3*y - 2 = -4*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t + 11. Let z = -272 - -147. Let v = -130 - z. Calculate m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -860, 3, 2, 6 in ascending order.\nAnswer: -860, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/12)\/(((-3)\/(-20)*-13)\/((-6)\/15))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 12856813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -4.23 times 0.2?\nAnswer: -0.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.4 + -1.6. Let x be (-3)\/6*(0 + (-4)\/(-22)). Which is the second smallest value? (a) x (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14331493, -14331483, -14331461, -14331421, -14331357, -14331263, -14331133, -14330961?\nAnswer: -14330741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19592895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooog. Give prob of sequence oo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - ((-21 - -12) + 20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 117?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-126)*72\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1241504, 2482863, 3724222, 4965581, 6206940, 7448299?\nAnswer: 8689658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**3 - b**2 - 2*b - 3. Let x be y(-2). Suppose 3*l + 4*u = 46, -x*l - 2*u + 18 = -4*l. What is the least common multiple of 4 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**3 + 19*l**2 - 16*l + 59. Let z be k(-20). Find the common denominator of 12\/z*(2 - 309\/18) and 3\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate ((-180)\/(-9))\/(-4)*39\/(156\/12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from {q: 3, o: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 183615189?\nAnswer: 3, 293, 208891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10443 + -22?\nAnswer: 10421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + 2231122?\nAnswer: 2231120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -102*p = 13*p - 345 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 4*x - q + 5, -4*x + 3*q = -15. Let m = -3 + x. Suppose -5*r = 11 + 14. Put m, -1, r in increasing order.\nAnswer: r, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*-25*(-11)\/55?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/210 and -26\/45.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100010 + -100010001111011000111?\nAnswer: -100010001111010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(12)\/(sqrt(4)*-1) - (-1 + sqrt(108) - sqrt(3))) - (2*sqrt(1323))\/(sqrt(36)*-6).\nAnswer: -1 + 43*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1255355*t**3 + 4718992*t**2 wrt t?\nAnswer: 7532130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001665490042 rounded to 5 decimal places?\nAnswer: 0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-11*x - 27*x + 55*x)*(1 - 1 + 3*x) as l*x**2 + m*x + y and give l.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (4\/14)\/(-2 + 80\/28)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1681 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: Does 40 divide 128140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6195, -12357, -18489, -24591?\nAnswer: -30663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**3 - 3*n**2 + n - 8. Let w be r(-4). Suppose 5*i = w*l - 37, -l + 0*l + 23 = -4*i. Determine q, given that -2\/3*q + 0 - 1\/3*q**2 + 1\/3*q**l = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 58 + 10*s**2 - 58 + (-2*s - 5*s + 6*s)*(3*s - s - 4*s) + 3*s**2 - 9*s**2 + s**2 - 3 + 3 + 2*s**2 - s**2 + 3*s**2 + 0*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w**3 - 4*w + 2*w + w)*(-13*w**2 - 85*w**2 - 129*w**2).\nAnswer: 227*w**5 + 227*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -14.25, 2, 2\/11 in descending order.\nAnswer: 2, 2\/11, -14.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -62 - -64. Let d(p) = -p**2 + p. Let a(y) = -4*y**2 + 3*y. Let m(z) = -4*a(z) + 12*d(z). Let b(k) = k**2. What is q*b(l) - m(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -5*g - 31, -3*b - 3*g + 2 + 1 = 0. What is the second derivative of 5*n + n**2 - n**2 - 4*n + b*n**3 wrt n?\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -2*i + 1. Let n(c) = 4*c - 79. Give -3*g(z) - n(z).\nAnswer: 2*z + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2566292 or -10265169\/4?\nAnswer: -2566292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -4365, -35321, -119339, -282951, -552689, -955085, -1516671, -2263979?\n\"Answer: -4422*d**3 + d**2 - 5*d + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*p + 4 = -52*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the second derivative of -b**3\/6 + b**2\/2 - 3*b. Let n(h) = -2*h**2 + 3*h. Let j(a) = -3*g(a) - n(a). Differentiate j(d) with respect to d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 93*z**2 + 3*z + 16. Let m(x) = 188*x**2 + 7*x + 34. Give 7*b(t) - 3*m(t).\nAnswer: 87*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f**3 - 6*f**2 - 6*f + 5. Let y be z(-5). Calculate the greatest common factor of 70 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/3 - 10\/6. Let u = 21065\/19 - 1109. Let l = u - -5\/76. Which is greater: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 64329 = 64333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the first derivative of 3*i**2 - 8 - 1\/3*i**3 - 7*i. Let b be y(3). Solve -b*a = -10, -5*n - 6 = -4*a + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -100, 10, 43, -3, 1, -2.\nAnswer: -100, -3, -2, 1, 10, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = -l + 5. Let h = -1 - -6. Suppose 3*m + 5 - 2 = -4*x, -h*x + 30 = -3*m. Solve -x*v - 2*v - l = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*o - 7423 = 30710. What is the smallest common multiple of 6021 and o?\nAnswer: 6021","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -51*c + 23 + 38*c - 123. Let z be x(-8). Solve 2*v = -4*q + 24, 2*v - 26 = -v - z*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 130.99 - 166. Let s = -0.01 - v. Let a = s + -34.997. Round a to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -28 + 32. Suppose -2*h + 118 = q*n, 2*h + 3*h + 3*n - 267 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/2179 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1776, 871, -34, -939?\n\"Answer: -905*q + 2681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = -6*p + 4*p - 10 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/11, -16, 6, 0.5, -4, 5 in descending order.\nAnswer: 6, 5, 0.5, -2\/11, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2495870 and 170950?\nAnswer: 12479350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 306425 - -12?\nAnswer: 306440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 14*u**2 + 5*u + 15. Let n(h) = h**3 + 14*h**2 + 25*h + 11. Let y be n(-12). Let i be y\/(-2) + (-14)\/4. Does 42 divide f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -59 - (-119 + 123 - -7)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-163)\/(-8) + 6\/21. Let o = m + -267\/28. Calculate the common denominator of (-1)\/(-6)*-1*47 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**2 + 84*r**3 - 2 + 0*r - 81*r**3 + r. Let j(u) = -3*u - 3*u**2 + 5 - 3*u**3 + 0*u - 4*u**3. Determine -2*j(s) - 5*t(s).\nAnswer: -s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 74, 333, 592, 851?\n\"Answer: 259*v - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -21 + 21*w**2 - 12 - 5*w**2 + 4*w wrt w?\nAnswer: 32*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m - 3. Let k = -7 - -24. Let n = 17 - k. What is s(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 97 = 3*q, 2*q + 0*z + z = 73. Suppose -3*c + 4 = -5*c. Let u be (-468)\/(-9)*c\/(-4). Calculate the highest common divisor of q and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, e: 2, b: 1, q: 10}. Give prob of picking 1 g and 1 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(-5) + 394\/10. Suppose -5*r - 3*i + 97 = -0*i, -2*r + 38 = i. Calculate the remainder when r is divided by 1\/(b\/18 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand b + 0*b + 0*b + (0 + 3 - 2)*(3 + 14 - 3)*(-15*b - b - 4*b).\nAnswer: -279*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + m - 48 = -5*r, 3*m + 72 = -3*r. Let z be (-7 + 76\/12)*(0 + m). Differentiate z*j**3 - 5 + j**3 + 6*j**3 + 21 wrt j.\nAnswer: 63*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 100 divide 1585718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -28, -16, 11 in increasing order.\nAnswer: -28, -16, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3476717 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the third derivative of -43*q**5\/20 - 17*q**4\/24 + 587*q**3\/2 + 2541*q**2 + 3*q. Differentiate h(a) wrt a.\nAnswer: -258*a - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:42 AM and 7:33 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 382005974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of -p**4\/12 + p**3 + 2*p**2 + 3*p. Calculate the lowest common multiple of g(5) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (26 - 14) + -16 + -9\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2703 and -2.819.\nAnswer: 7619.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.5 and -3337916.826.\nAnswer: -3337916.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 + -3522?\nAnswer: -3522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -4309 >= 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 6 - 23 = -3*w, -w = -5*p + 97. Let g = -19 + 36. Let o = -7 + g. Calculate the least common multiple of o and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*g + 1 - 1 + (2 - 3 + 0)*(-g + 4*g - 2*g) + 6*g - 2*g - 2*g + 3*g + 3*g - 4*g + (2 - 1 - 3)*(-g + g - 2*g) + 3*g + 3*g - 3*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = 5*o - 10. Suppose o*d + 5*y - 43 = -d, 5*d + 5*y - 75 = 0. Is 10 a factor of d + -1*4\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3242424404 (base 5) to base 16.\nAnswer: 6acac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t + 5. Suppose 5*y = -4*n + y - 4, -4*n + 3*y = 25. Let f be g(n). Let c(q) = 191*q**3 - q. What is the tens digit of c(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (23\/(-1))\/(-10 - -9). Factor -2*s**3 - 12*s**2 + 0*s**3 - 35*s - s**3 + i*s.\nAnswer: -3*s*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*n*n\/(n**2\/n))\/n**1)**12*(n**(-1)*n)**(15\/8)\/(n**(-1)*n**7\/n) assuming n is positive.\nAnswer: n**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -h**2\/3 - 8*h\/3 + 828 = 0 for h.\nAnswer: -54, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 28 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, -3\/38, -5.8, 1, -2\/5 in decreasing order.\nAnswer: 1, -3\/38, -2\/5, -5.8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -2302164 divided by -12\nAnswer: 191847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 9493 - 38884259214?\nAnswer: -38884249721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from llombbbbqm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 + 33. Let s = -18 - -28. What is the remainder when m is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(5*(-3 + (-608)\/(-200)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 1140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 49298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.0264 (b) 0 (c) -6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 424 = 3*c - 3*j + 5*j, -j = 4*c - 557. Let f = c - 117. Suppose 0 = -o + 13 - 6. What is the greatest common factor of o and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 18 - 16. Let c be (0 + 0)\/g - -50. What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -48 - -47.9. Is d equal to 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -201*d - 1. Let f be w(-2). Suppose y + 0*y + 5*m - f = 0, -8 = -4*m. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -5. Suppose -8 = -h*k - 2*k. Let a = -5 + 11. What is the lowest common multiple of a and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4 + 6\/((-6)\/2). Factor -j*q**2 + q**5 - q + 2*q**3 - 2*q + 3*q**4 + 4*q**4 - 1 - 4*q**4.\nAnswer: (q - 1)*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**3 + 7*h**2 + 9*h - 10. Give n(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 - s**2 - s + 1. Let n(l) = -5*l**3 - 5*l**2 - 6*l + 5. Give n(c) - 6*y(c).\nAnswer: c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, 1.1, -1.6 in ascending order.\nAnswer: -1.6, -1\/4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*((-354)\/1239)\/((-2)\/(-42))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 72, 1, 14?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -2*i + 3. Let w be r(-4). Suppose -w = -2*a - 5. What are the prime factors of a\/(-2 + -1)*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -179, -1256, -4191, -9914, -19355, -33444?\nAnswer: -53111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -2*d + 10. Let j be b(4). Is j at least as big as -13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.4 + 0. Let g = 604 - 591. Which is the nearest to 2\/7? (a) 2\/15 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1*8)\/((-4)\/2). Suppose b*s - 56 = 4*a, 0 = 4*s + 3*a - 0*a - 21. Let d be s\/4 + -1 + 22\/(-88). Solve -d = 2*g + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*m = -9*m - 872. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jtehej. What is prob of sequence hjee?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 30? (a) -13 (b) -3\/7 (c) 17 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-17 + 8 + 4*a**2 + 10)*(3 - a - 3)*(-1 + 1 + 3*a) as v + s*a + t*a**3 + h*a**4 + o*a**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b\/(b*b\/(b*b**(-5\/7)\/b)*b)*b)\/b*b*b\/((b*(b*b**12)\/b)\/b))\/(b\/(b**(-3)\/b)*b)**(-3\/7))**(-1\/21) assuming b is positive.\nAnswer: b**(71\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v + 21 = -3*m, -17*v + 25 = -22*v + 5*m for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -149\/92 + -124\/69. What is the common denominator of b and 37\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0\/(49\/((-637)\/78)). Let l(u) be the first derivative of g*u + 15\/2*u**4 + 0*u**2 + 20\/3*u**3 - 20. Find the third derivative of l(s) wrt s.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -45, -95, -145, -195, -245?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -9812, -39123, -87918, -156191, -243936, -351147?\n\"Answer: y**3 - 9748*y**2 - 74*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 6 = -3*l. Let k(r) = -4*r + r + l*r. Let c(s) = 6*s**2. Determine c(k(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5933922*a**3*u**2 - 3*a**2 + 3*a*u + 6596*u**2 - 1 wrt a?\nAnswer: 35603532*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 3*o + 19. Let r(j) = 5*j + 38. Let x(g) = 5*i(g) - 2*r(g). Let d = -1046 + 1069. What is the remainder when x(8) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*m**4\/9 + 76*m**3\/3 + 320*m**2\/3 + 976*m\/9.\nAnswer: -4*m*(m - 61)*(m + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 48448, 96900, 145352, 193804?\nAnswer: 242256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 20*b. Let c(o) = -7372*o - 43 - 7376*o - 7369*o + 22119*o. Determine r(c(m)).\nAnswer: 40*m - 860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1198094 and 603.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes after 11:05 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 316880 and 181050?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d = -4*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 4*w + 4. Let f(n) = -8*n - 7. Let u(k) = -5*d(k) - 3*f(k). Suppose -44 + 15 = -29*o. Determine u(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*f**4 - 53*f**2 + 170*f**2 + 69*f - 82*f**2 - 2 - 48*f**2 - 2*f**3 in the form o*f + n*f**2 + z*f**3 + l + g*f**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d**5\/6 - 32*d**4\/3 - 119*d**3\/2 - 87*d**2 = 0. Calculate d.\nAnswer: -58, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that 80*d**2 + 9924*d - 297404 = 0.\nAnswer: -149, 499\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(17) - (3 + sqrt(17)*-1)) + 4)**2 + (2 + sqrt(425) + 2)**2 + -4)*2.\nAnswer: 88*sqrt(17) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**3 - 12*w**2 - 14*w + 14. Let t be (20\/(-7))\/(2\/(-7)). Suppose -r = t + 1. Is 11 a factor of b(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -116, 2, -137 in ascending order.\nAnswer: -137, -116, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 2*z - 6. Let p be g(4). Let c be 0\/(p\/(-4)*-4). Let j be ((-3 - 0) + c)*-1. Solve -5 - j = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b**3 + 3*b**3 + 4*b**3 + (3*b**3 - b**3 + 0*b**3)*(0 - 5 + 4))*(-1 + 3 - 1)*(2 + 6 - 4).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2044 + 18398\/9. What is the biggest value in f, -1610, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/(-45)*5*(-3)\/12\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 5.438647nm?\nAnswer: 0.000005438647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 16 - 13. Suppose 0 = -4*c, p*k = 5*c + 16 + 2. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 701.478 to the nearest 10.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -4*b + 4. Let o(z) = 3*z. Let m be o(1). Let n be u(m). Let i(x) = -2*x - 10. Give i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1072947999949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*f - 28*f - 13*f)*(1 - 4 + 1).\nAnswer: 96*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -45 + 395*a - 398*a - 113*a**2 + 44 to the form z*a**2 + s + f*a and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 108.212 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((5\/(-15))\/((-6)\/(-114)))\/((-2)\/(-6))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*g**2 - 465 + 465.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the third derivative of -3*a**5\/20 - 19*a**3\/6 + 16*a**2. Differentiate y(l) with respect to l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the second derivative of 0 - 2*z**2 + 2*z + 2\/3*z**3. Let p be m(3). Calculate the highest common factor of p and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 + 3. Let f = j + 5. Which is the smallest value? (a) 0.1 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 258, -6, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-6)\/2 - (-35)\/5. Suppose 0 = 3*w - 9, c + 30 = g*c - 2*w. What is the smallest common multiple of c and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 44*g**2 + g. Let i be d(-1). Let y = -10\/267 + -3616\/89. Let s = y + i. Is -1\/4 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 2212\nAnswer: -1\/2212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s - 14 = -13*s. Suppose 514 = 2*m - s*h - 3*h, -3*m + 733 = 2*h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 6 + 14*x**2 + 18*x**2 - 34*x**2 - 4*x + 2*x + 4*x. Let n(m) = -2*m**2 + 2*m + 5. Determine -2*j(y) + 3*n(y).\nAnswer: -2*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*z = -38*z + 147*z - 5*v - 900, 50 = 2*z - v - 4*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the third derivative of 5*p**8\/336 + p**7\/210 + 37*p**5\/60 - 24*p**2. Find the third derivative of v(y) wrt y.\nAnswer: 300*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 + 7*f**2 + 8*f - 6. Determine h(6).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 302 and 8003?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*h + 188034 = 25*h. Calculate the remainder when h is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 185777*a**2 + 294571*a**2 + 99994*a**2.\nAnswer: 580342*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 16\/(-168)*1631\/(-16077)\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 2*t - 0*q + 5*q, 4*q = 5*t + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2819 - -1895. What are the prime factors of p?\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6 + -4. Let g(i) = -i. Let v be g(-4). Let z(n) = -v*n**2 + 0*n + n**3 + n**2 + 3*n. Give z(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -o - 4. What is the least common multiple of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0755 and -1.1339.\nAnswer: -0.08560945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -103432 greater than 873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is (-16)\/12*14\/((-224)\/37956) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 105 and 11145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(175) + 2)*-5 - (sqrt(175) + sqrt(175) + -3*sqrt(175) + sqrt(175))*4 - (-5*sqrt(175)*-2 + 3 + -1*sqrt(175) + -2))**2.\nAnswer: 1540*sqrt(7) + 34421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 26562 and 22368.\nAnswer: 424992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-2\/5)*v\/(v*(v**(5\/2)\/v)\/v*v))\/(v\/(v*v\/v**(-1))*v**6) assuming v is positive.\nAnswer: v**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 + 1 = -4*q. Suppose 3*s - 2*s + 0*s - s**q = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -402, -809, -1226, -1659, -2114, -2597, -3114, -3671?\nAnswer: -4274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1\/2 (b) -1 (c) -2\/17 (d) 19.855\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + g**2 + 19*g**3 - 3*g**3 - 4*g**3 + 19*g**3 to the form j*g**3 + y + q*g + w*g**2 and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = -5, -5*h + 9*h - 3*f = 3. Suppose 10*l - 28*l + 252 = h. Solve 5*a + 20 = -2*i, -3*a + i + 3*i = -l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**2 - 179464*d - 179466.\nAnswer: 2*(d - 89733)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-15\/7)\/f*f**(-4\/25)*((f**(-1\/14)\/f)\/f*f)\/(f\/((f\/(f*f**(1\/21)))\/f)) assuming f is positive.\nAnswer: f**(-6743\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 26592854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1330847 = 98*o - 128471. What are the prime factors of o?\nAnswer: 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 take away 7.1196719?\nAnswer: -6.1196719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 12437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = -m + 311, 0 = -5*m - 2*r + 1096 + 510. Suppose m = -2*u + 6*u. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 11 = k, k = 3*o - o - 6. Suppose 3*v + 282 = f, 5*v = -6*f + k*f + 509. What is the tens digit of 2\/7 + f\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the first derivative of 9*t**2\/2 - 21. Let p(s) = -s - 2*s - 2*s. What is c(p(l))?\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3457.\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -204, 0.02 in increasing order.\nAnswer: -204, 0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let 3*h**3 + 4596*h**2 + 32001*h - 36600 = 0. What is h?\nAnswer: -1525, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of r**3\/6 - r**2\/2 - r. Calculate i(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1275 > -1273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -x - 7*x - 6*x + 22*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:26 AM and 10:59 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1548 = -166*a + 165*a + 4*w, -5*a = -3*w - 7689. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 * 74696\nAnswer: 298784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.058 + 0.058. Sort 0.2, a, -4 in descending order.\nAnswer: 0.2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand s**5 + 10*s**5 - 5*s**5 + (-s**5 + 5*s**5 - 2*s**5)*(2 + 0 - 4) - s**5 - 2*s**5 + s**5 - 3*s**2 + 3*s**2 - s**5.\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, e: 2, n: 4, c: 2, q: 5}. What is prob of picking 1 n and 2 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x\/x**1)**(-25)\/(x**8*x*x**(-2\/17))*(x**(-2))**(-3\/34)\/((((x\/((x*x\/(x**(-5\/4)\/x))\/x)*x*x)\/x)\/x*x)\/x**8) assuming x is positive.\nAnswer: x**(-1663\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - p**4 - 2)*(-165*p - 248 + 248)*((3 - 5 + 4)*(5 - 3 + 0) + 5 - 4 - 3) + 0*p**5 - p**5 + 3*p**5.\nAnswer: 332*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be (16\/(-20))\/((-4)\/10). Let i = -2 + w. Suppose 1094*m + 210 = -3072. Sort 3, 10, m, i in ascending order.\nAnswer: m, i, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -46 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -206*n + 437. Let a(r) = -385*r + 876. Let c(q) = 2*a(q) - 5*g(q). Differentiate c(h) with respect to h.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 24841, 99906, 225015, 400168, 625365, 900606, 1225891?\n\"Answer: 25022*s**2 - s - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -2*q**2 - 78. Let p(s) = -3*s**2 + s + 6. Let w(j) = 437*j**2 - 138*j - 828. Let c(i) = 138*p(i) + w(i). Give c(a(f)).\nAnswer: 92*f**4 + 7176*f**2 + 139932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 2*s**3 - 8*s**2 - 15*s + 64. Let a be h(4). Solve 5*o = -a*c + 12, -4*o + 10*c = 8*c - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 256742 - 256742 + 445*n. Let b(o) = 9*o**2. Calculate b(m(l)).\nAnswer: 1782225*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 2*y + 122 = -2*p, 0 = 4*p - 5*y - 241. What is the greatest common divisor of 96 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**3 - 4*a**2 - a - 1. Let n be f(-4). Let w(r) = r**3. Let s(j) = j**5 + j**4 - 3*j**3. Let q(z) = n*s(z) + 3*w(z). Let q(t) = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*z**2 + 3*z**2 - 2*z**2 + (-3*z**2 + 2*z**2 + 2*z**2)*(6 - 4 + 0) + 0*z + z**2 + 0*z + 2*z**2 - 2*z**2 + z**2 + 173 + 274*z**2 - 173.\nAnswer: 277*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**3 + 7*l**2 - 5*l + 2. Calculate the remainder when 44 is divided by o(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -124.7904 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-84)\/70)\/((-2)\/5). Which is the second biggest value? (a) w (b) 19 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 9*s**2 + 17*s + 89. Is z(33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -16\/11 and 37\/2049?\nAnswer: 22539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -67*z - 1450*z**2 - 1447*z**2 + 4344*z**2 - 1446*z**2 + 2 in the form n + i*z + b*z**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31270 - 76109 + 2*q**2 - 3*q**2 + 44839 + 2*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*h + 6 = 13*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 547 - 562. What is the smallest common multiple of (6\/b)\/((-3)\/135) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11010011111000110100101 (base 2) to base 16.\nAnswer: 69f1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i = -14*f - 3473 + 3573, 4*i = -f + 173 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/4 + 73\/4. Calculate the lowest common multiple of (z\/45)\/(1\/50) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -3, 2, 6 in descending order.\nAnswer: 6, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1363396351 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (((-1)\/1)\/(-77))\/((1035\/(-23))\/(-315))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 70315192 divided by -2248\nAnswer: -31279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 12*x**2 + 13. Let u(a) = 2*a**2 + 2*a + 1. What is -t(m) + 2*u(m)?\nAnswer: -8*m**2 + 4*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 4 = 3*w, w - 8 = -8*r + 6*r. Solve 7*l - 2*l = 5*k + 5, -5*l + 3*k + 1 = w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -3082, -6160, -9238, -12316, -15394, -18472?\n\"Answer: -3078*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.6170286l?\nAnswer: 617.0286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.0597 + -0.3097. Suppose 0 = 2*c - 4*c - 4. What is the second biggest value in 2\/5, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4760534 is divided by 3550?\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -441\/222583 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3969)*-2 + sqrt(3969) + (sqrt(49) - (sqrt(98) - 2*sqrt(98))\/sqrt(2)))\/(-2*sqrt(1008)*6*-4).\nAnswer: -7*sqrt(7)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -6*b + 16. Let p(j) = -j**3 - 3*j**2 + 4*j - 6. Let w be p(-4). Let y be m(w). Calculate the greatest common divisor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n**2 + 12*n - 8. Give f(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -1451*g - 4342. Let b be n(-3). Sort -1, 2, b, -5, 0.\nAnswer: -5, -1, 0, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3645 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28911.\nAnswer: 3, 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 4*j = -21, 7 = -y + 5*j + 26. Let m = y + 1. Suppose 2*p + m*p - 25 = -5*d, -5*d = -3*p + 50. Solve -5*s - 7*w = -2*w - 15, -s - p = -5*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 492000 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 3 + 14*d**2 + 6*d**2 - 3. Let c(z) = 2*z. What is c(o(s))?\nAnswer: 40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(495)\/(sqrt(176)*2) - ((sqrt(150)\/sqrt(3))\/sqrt(10) + -1 + -4).\nAnswer: -5*sqrt(5)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4211051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53*o - 47*o = 318. Suppose o*s = 38*s + 125310. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + -1 + (14\/(-49))\/(57\/(-665))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: What is (-54)\/63*(-280)\/18*(-1)\/(-4)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -733 - 91?\nAnswer: -7c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4 from 70599.\nAnswer: 70595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4060 - -10889. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3936)\/(-1804) + (0 - (-5)\/((-110)\/4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (-19 + 13 - (1 + -10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*l**3*r**2 + 314*l**3*r + 5*l**3 - 32*l**2*r**2 - 11*l**2*r + 8*l**2 - 2*l*r**2 - 792*r**2 + 1 wrt r?\nAnswer: 8*l**3 - 64*l**2 - 4*l - 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 15053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 0 + 3)*(28*a - 25*a - 45*a) + 5*a - 7 + 9 - 20*a.\nAnswer: 27*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ngw when three letters picked without replacement from {x: 3, g: 9, n: 4, w: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 43*i**3 + 4 + 20*i**3 + 22*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + v + 4 + 9 = 0, -c - 3*v - 15 = 0. Let a be c\/((-6)\/4) - 2. Suppose a*x = -7*x + 147. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 91.483 and 424011727.\nAnswer: 424011818.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 9 (b) -8 (c) 1 (d) 14962\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -8 + 5 - (-56 - -46).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d = -3*o + 2*d + 30, 3*o - 7*o + 19 = -2*d - d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 AM and 9:26 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:20 AM and 2:34 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.5 (b) -2403 (c) 0.2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**3 - 11*h**2 - 12*h + 11. Determine a(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1\/2754 - 16519\/13770. Sort -10\/3, m, -3\/2 in increasing order.\nAnswer: -10\/3, -3\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -1634254 rounded to the nearest 10000?\nAnswer: -1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b. Let r = 5 + -2. Let h(y) = 2*y**2 + 2*y - 1. Let w be h(r). Let g(s) = -3*s**2 + w - 23. What is n(g(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l\/(l*l*l**(2\/7)))*l)\/((((l*l*l*l**(-2\/9)*l)\/l)\/l)\/l*l))**(33\/4)\/((l*l**2*l)**(4\/15))**(-1) assuming l is positive.\nAnswer: l**(1891\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be 22\/(3 - (3 + 2)). Let w = 17 + v. Let l be w\/10 - 8\/(-20). Which is the second biggest value? (a) 4 (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**2 + 4 - 4)*(-2*b + 3*b + b) + 9*b**3 + 2*b**2 - 13*b**3 + 7*b**3.\nAnswer: 5*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**3\/(s*s**(-2\/19)))\/(s**(1\/4)\/s)**40 assuming s is positive.\nAnswer: s**(610\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -15531 (base 6) in base 5?\nAnswer: -40300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -2308.4 and 112234?\nAnswer: 114542.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/3)\/(10\/(-105)). Let v = r - -11. Let z = v + 1. Solve 2*l + 4 = -3*n, z*n + 3*l + 3 = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v + 1 = -3*g, 4*g = v + 52 - 59 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dqq when three letters picked without replacement from kqddddqiki.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -697 times -0.2?\nAnswer: 139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 41 + -48. Let h(y) be the second derivative of -y**5\/20 - 7*y**4\/12 + y**3\/6 + 3*y**2\/2 + 157*y - 2. Give h(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 62156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) be the first derivative of 2*h**2 + 7\/12*h**4 - 8\/3*h**3 + h + 6. Let b(j) be the first derivative of v(j). Determine s so that b(s) = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -10543, -21180, -31805, -42412, -52995, -63548, -74065?\n\"Answer: w**3 - 10644*w + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.030587 * -0.5.\nAnswer: -0.0152935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/(-153)*(7 - (-3 + 7)). Let u = -0.022 - -2.022. What is the fourth biggest value in 1, u, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5748*m - 2009 = -5800*m + 11499*m for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000094839 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 1, o: 1, a: 1, v: 3, r: 7}. What is prob of sequence vvbr?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s\/(s**5*s))*s**(-4))**(-47)*(((((s\/(s*s**(-1\/3)))\/s)\/s)\/s)\/s)**25*s\/(s*s**(3\/2))*s*((s\/(s\/((s**4\/s)\/s)))\/s)\/s assuming s is positive.\nAnswer: s**(-1117\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -711, -1421, -2131, -2841, -3551?\n\"Answer: -710*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1d738a (base 16) to base 12\nAnswer: 790b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3.042 millennia in centuries?\nAnswer: 30.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -44717077 (base 8) to base 11\nAnswer: -55084a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -2*y**3 - 376*y**2 - 2925*y - 23. Calculate f(-8).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*l**3 + 13*l**3 + 0*l**3 + 9*l**3 - 29*l**3 + 5*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41373461?\nAnswer: 17, 2433733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -661\/564 - -130\/141. What is the closest to m in 1\/4, 3\/7, 1.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*s**3 + 40604*s**2 + 365168*s + 567952.\nAnswer: 4*(s + 2)*(s + 7)*(s + 10142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -48 + 2280\/2394*51\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve r = -2*w + 17, 47 + 6 = 3*r + 4*w for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*u + 106*u. Solve 0 = -u*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -56, 4, -1114\/7, 1\/4, 5 in decreasing order.\nAnswer: 5, 4, 1\/4, -56, -1114\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5428 + 5425. What is the third smallest value in -1.1, f, -78?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 34 = 4*l - 185, 0 = -4*l - 2*s + 154. Let y = l - 37. Which is smaller: 2\/107 or y?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*r - 18067 + 979 = 0. Is r less than or equal to -354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3 + 86\/(-2))\/(-2). Suppose q - 71 = -4*u. List the prime factors of u\/(-30) + (-142)\/(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 189 - 29. Calculate the common denominator of 5\/18 and 3 - (1 - n\/(-18)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3195567833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 229795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 7*b**3 + 6*b**2 + 3. Let n(j) = j**2 + 1. Let d(m) = -f(m) + 4*n(m). Let h(s) = -s - 5. Let c be h(-6). Determine d(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -26 - -46. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 844, 829, 824, 835, 868, 929?\n\"Answer: v**3 - v**2 - 19*v + 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/7 (b) 182 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -o**4 - 2229*o**2 + 5818*o?\nAnswer: -12*o**2 - 4458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*c + 50 = 4*c + 2 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 136452 and 15936.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 40850 by 9.\nAnswer: 40850\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 703 = 11*t - 7*t, 233 = s + 2*t. What are the prime factors of s?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-13 - (-3 - 6)) + (1 - -6) + -14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 344 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -12, -1, -4 in descending order.\nAnswer: -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -140055 by -3.\nAnswer: 46685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 187 and 1105621.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3690 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1343, -9188, -29289, -67394, -129251?\n\"Answer: -958*j**3 - 380*j**2 + j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cpra when four letters picked without replacement from {p: 1, a: 5, r: 1, u: 5, c: 3}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(152)\/sqrt(128)*-6 + (1*sqrt(76) + sqrt(76) - -6*(4 + sqrt(19)))**2.\nAnswer: 963*sqrt(19)\/2 + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -330796892*f**3 + 88*f**2 - 665452 wrt f?\nAnswer: -1984781352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o*(o**(-6)\/o)\/o)**44*(o**(-1\/8)*o)**21 assuming o is positive.\nAnswer: o**(-1965\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-405)\/(-54))\/5*2\/(-6)*34.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -131*n + 128*n. Let b(c) be the third derivative of c**6\/120 - c**5\/60 + c**4\/24 + 13*c**3\/6 - c**2. Calculate b(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9266 bigger than 9192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10927 + -10811.97. Let p = h - 115. What is the nearest to 0 in -0.5, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of k**4 - 5\/2*k**2 + 2\/3*k**3 - 4\/5*k**5 + 1 + 1\/6*k**6 + 2*k. Find b, given that i(b) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 15386 and 289688?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*a - 1316 + 101. Solve -3 = a*f - 138*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19091 - 15506. Calculate the highest common divisor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20331626 (base 7) in base 15?\nAnswer: 23a462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 353 + -203. Let o = 258 - s. Suppose -3*b = -9*b + o. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 64051 times -0.1\nAnswer: -6405.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the first derivative of j**4\/4 - 7*j**3\/3 + 4*j**2 + 4*j - 1. Let o be u(6). Suppose -t = o - 31. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**2 - 5*u + 6. Let h be v(4). Let n(d) = d**2 - 4*d + 4. Let y be n(4). Solve -h*k - y = -0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30 + 2680*b - 27 - 2673*b + 20.\nAnswer: 7*b - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 267 = 3*j - 48. Calculate the greatest common factor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1381 or 1382?\nAnswer: 1381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -20 + -29 + (45 - 11) - -29?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 1621 divide 10910951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**2 - 18 - 26 + 44. Let f(z) = 3*z**2 + 7. Let d(y) = -2*y**2 - 5. Let q(w) = -7*d(w) - 5*f(w). Determine l(q(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 3408 divide 2523164702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 5*j + 31. Let f(u) = 175*u - 66*u - 36*u - 72*u + 8. Determine f(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8*f**2 - f**3 + 3*f**3 + 2*f**2 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3810*a + 3805*a - 16 + 0 = 3*o, 0 = 3*o - 20*a + 41 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 59 - 54 - (19 + 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 11*w - 1 in the form l + m*w and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 9*o**3 + 5*o**2 - 2*o - 5. Let c(r) = 5*r**3 + 3*r**2 - r - 2. Let q(v) = -4*b(v) + 7*c(v). What is the remainder when 15 is divided by q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 978 + -3423. Let l be 9\/(-21) + x\/(-21). Let j = l - 34. What is the remainder when j is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 92) + (29599 - 29551)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19369 (base 14) in base 2?\nAnswer: 1111100100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 96379 and 4731898?\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 2*n + 1. Let t(j) = 29*j - 27. Let u be t(1). Give z(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 67*w. Let i(t) = 101*t. Calculate -8*g(l) + 5*i(l).\nAnswer: -31*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o = -0*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 5, e: 5, o: 3, c: 2}. What is prob of sequence dcc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 1 a, and 1 f when three letters picked without replacement from goqfgaqfioaqqq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 - -16241051.\nAnswer: 16241051.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**2 + 4*r + 3. Let z be s(-11). Suppose -3*l = x - 94, -5*x - 4*l = -4*x - 99. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fgaaaggaggafgffaa. Give prob of sequence fafg.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 46 - 73. Let i(s) = -s - 6. Let r be i(0). Let f be 2\/9 - r\/z. Put 1, f, 2 in increasing order.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 94, 150, 210, 274, 342, 414, 490?\n\"Answer: 2*a**2 + 50*a + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4\/(-16))\/((-2)\/56). Suppose 0*r = -r - k. Let y(v) = 2*v**2 + 13*v - 4. Let g(t) = -t**2 - 4*t + 1. Determine r*g(a) - 2*y(a).\nAnswer: 3*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 404402437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2920961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 10*n - 9. Let z(h) = -7*h + 6. Let q(o) = 5*x(o) + 7*z(o). Suppose -y + 2*t - 9 = 0, 0 = t + t - 4. Determine q(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify b*b**(-1)*b*b*b\/b**(2\/13)*b*(b*b**(-14))\/(b**20*b) assuming b is positive.\nAnswer: b**(-392\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -272644, -272641, -272638?\nAnswer: -272635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.5, -5\/3, 194, 2\/5101?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q**3\/5 + 2193*q**2\/5 + 86901*q + 12058299\/5 = 0 for q.\nAnswer: -349, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes after 12:31 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -2*p + 26. Calculate the remainder when (-44)\/(-2) - (-2)\/(-2) is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -31? (a) 5 (b) 0 (c) 5\/3 (d) 64 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 92*c**2 + 44*c**2 - 2*c + 46*c**2)*(-2 + 2 - c) in the form k*c**3 + r*c**2 + z*c + l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**2 - 4*r**2 + 546 + 4*r**2 - 3*r**2.\nAnswer: -2*r**2 + 546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 31370945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2116 divided by 3\nAnswer: 2116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 156499 divided by 2.\nAnswer: 156499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(112)\/sqrt(1008))\/(sqrt(72)\/(sqrt(81) - sqrt(81)*2)))**2.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-216)\/135)\/(2\/(-22)). Let y = 254\/15 - c. What is the second smallest value in 8\/9, 2\/5, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 5*m - 3*m + 2*m. Let l(i) = -4*i. Determine l(y(c)).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-52*z - 56 + 56)*(3*z**2 - 2*z**2 - 3*z**2) + 6*z**3 - 3*z**3 + 0*z**3 + (3*z**2 + z - z)*(9*z - 6*z + 4 - 3) as b*z**2 + o*z**3 + k + x*z and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*y**5\/3 - 214*y**4\/3 - 1682*y**3\/3 - 3382*y**2\/3 - 1334*y\/3 + 572\/3 = 0 for y.\nAnswer: -13, -11, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -1 + 1 + 6*r. Let q be s(1). Let w be q*3\/6 - 1. Solve w*k + 2 = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/9)\/(h*h**(4\/11)\/h*h*h*h*h))**(4\/15)*(h**(1\/3)*h)\/(h**(-1\/3)*h)*(h*h**(1\/3))**(-41) assuming h is positive.\nAnswer: h**(-16366\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.4? (a) 2 (b) -1\/3 (c) 4 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 143408.\nAnswer: 2, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 1\/9, 0.2, 3 in decreasing order.\nAnswer: 12, 3, 0.2, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -10214917, -20429832, -30644747, -40859662, -51074577?\n\"Answer: -10214915*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, p: 2, t: 4, l: 2, o: 1}. What is prob of picking 2 p and 1 i?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 32774\/4 + (1386\/(-36) - -40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.22 + 2.78. Which is the closest to -1? (a) p (b) -2\/5 (c) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/((-9)\/12) + 1350\/(-324)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 154848 divided by -8?\nAnswer: -19356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -41 - 31 = -12*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -532 = 3*j - 187. Let o = j - -203. What is the remainder when o is divided by 2280\/126 - (-32)\/28*(-1)\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (14\/(-5))\/(8\/(-20)). Let a(m) = m - 87*m**2 + b + 88*m**2 - 9*m. Let d be (-2 + 5\/(-2))\/(9\/(-12)). Give a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.01 + 1.91. What is the closest to m in 2\/9, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1550 and 108365?\nAnswer: 33593150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 246 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 9990*k**2. Let l(s) = 16363*s. Give l(q(n)).\nAnswer: 163466370*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((21 - 59) + 76 - (0 - 8)) + -10?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -123\/728 and 69\/137584.\nAnswer: 12520144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = -3*t - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(1573) + 3 - (sqrt(91)\/(sqrt(14)\/sqrt(2) + sqrt(7)) + (sqrt(208) + 1 - sqrt(13))).\nAnswer: -51*sqrt(13)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-16)*(-32)\/(-48).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -165 or -178?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -0.5, 2\/13, -7, -2\/11 in ascending order.\nAnswer: -7, -0.5, -2\/11, 0, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2772 and 1121428?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from {w: 2, o: 8, x: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply 27.8381075 and 3.\nAnswer: 83.5143225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*d - 2*d + d - 1 - 26262*d**2.\nAnswer: -26262*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*u**2\/7 + 5020*u\/7 + 3344\/7 = 0 for u.\nAnswer: -836, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -h + 47*h + 322 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-1) + 1)*(8 - 312\/32).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1638 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 173821091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 22\/23, 2\/5, 304.\nAnswer: -6, 2\/5, 22\/23, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + (0 - -3 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*n - 6 = 11*n. Let f be n\/(-7) + (-8088)\/(-84). Suppose 10 = -5*i - 2*j + f, 0 = -i + j + 13. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12829 = -1268*u + 13799 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 114413579 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -55 + 41 - (-1 - 22).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3 - -6. Is 9 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:44 AM and 12:15 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -8*z + 15. Determine n(8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iniunuyiyyiynn. Give prob of sequence iyuu.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3b19 (base 15) in base 7?\nAnswer: 51543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 12009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5088*k**4 - 12*k + 33?\nAnswer: 61056*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6549 + -6662.5. Round b to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*f**2\/5 - 672*f\/5 + 980.\nAnswer: -4*(f - 7)*(f + 175)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 921963061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 6*d**2 - 3. What is the units digit of x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -11*n**3 + 8*n**2 - 16*n - 20. Let l(g) = 32*g**3 - 23*g**2 + 48*g + 57. Calculate -6*l(w) - 17*q(w).\nAnswer: -5*w**3 + 2*w**2 - 16*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the second derivative of 3*v + 0*v**5 + 0*v**6 + 0 + 0*v**7 + 1\/6*v**3 + 0*v**2 - 67\/56*v**8 + 8\/3*v**4. What is the third derivative of d(n) wrt n?\nAnswer: -8040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j - 2*i - 26, 4*j - 54 = 6*j - 5*i. Suppose 13 = 3*p - 4*r + 4, -5*p = -5*r - 15. Which is the second biggest value? (a) -1 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -717*n - 759*n - 11642 = 33627 - 9845 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 48 + -14 - (10 + (-5 - 2) + (8 - 0))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**3*f)\/f**(1\/11)*(f\/(f\/(f\/f**(2\/7))))**(-32))\/(((f*f\/f**(1\/6)*f)\/f)\/f**6)**(-2\/7) assuming f is positive.\nAnswer: f**(-5807\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 56324677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = 392 - 405. Let x = -9 + 9.4. What is the third smallest value in x, 3, p, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 6 = 5*y - 14, 0 = -3*c - 5*y + 29. Differentiate -5 + 4 + c - 6 - z**2 with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*y**3 - 5 + 4 - y**3 + 2*y**3 + 0*y**3 + 0*y**3 - 6*y**3 + 3*y**3 + 2*y**3 + (-4 - 3 + 3)*(2*y**3 - 2 + 2).\nAnswer: -6*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -4*m**2. Let c(a) be the first derivative of -a**5\/12 + 104*a**3\/3 + 13. Let d(n) be the third derivative of c(n). Determine d(x(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10009*f + 12*f**3 - 55*f**2 - 354*f**2 - 1865*f wrt f.\nAnswer: 72*f - 818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 183885 and 383760?\nAnswer: 8826480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 20321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, s: 4, n: 3}. What is prob of sequence nn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be (25\/10 - 2)*2. Is 8\/23 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -35 + -206?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3489 is divided by 385?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -6*q, -3*q + 5 = -z + 2*q. Let k(x) = -x**3 + 12*x**2 - 18*x - 17. Let s be k(z). Solve -15 = -5*l + 2*t - t, l = 4*t + s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 3*x + 42 - 114, 49 = -c - 4*x. Let m = 49 + c. What is the least common multiple of 14 and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4144*b**3 + 0 + 0 - 4099*b**3 + 7671*b**3.\nAnswer: -572*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 6729829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -31546*l = -31698*l - 2888 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2025 is divided by 615.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2\/9 + 1798*j\/9 + 5556.\nAnswer: -2*(j - 926)*(j + 27)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 1 - 9 - 3*d - 6. Let z be n(-5). Solve -w = -2*x - 6, -x + z = -w + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23 less than 78.98?\nAnswer: 101.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 891*x + 873*x + 892*x + 889*x - 4317*x + 774*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*t**2 + 0*t**2 - 4*t**2 + (-3 - 2 + 1)*(0*t**2 - 2*t**2 + 0*t**2).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 32, 163, 484, 1091, 2080, 3547?\nAnswer: 5588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 1, z: 2, o: 2, w: 2, y: 2, g: 7}. Give prob of sequence oowg.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.14*-927.\nAnswer: 129.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10930962 is divided by 2826?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1 - 134*r**2 + 132*r**2 - 104*r + 5 - r**3 + 838*r**5 + 218*r wrt r.\nAnswer: 16760*r**3 - 6*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -37\/14 and 65\/19516?\nAnswer: 19516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the third derivative of 73*k**7\/105 - 9*k**4\/8 + k**3\/2 + 20*k**2. Find the second derivative of g(p) wrt p.\nAnswer: 1752*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**7\/l)\/l**(1\/7))\/(l**(-1\/3))**(13\/5) assuming l is positive.\nAnswer: l**(706\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -2*h**3 - h**2 - h - 2. Let b be z(-2). Suppose 4 = -2*d + b. Suppose -5*p - 26 = -m - 301, -d*m + 20 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -763*o**2 + 1. Let m(g) = 14*g**2. Determine f(m(q)).\nAnswer: -149548*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2\/147 - 628\/147. Let t = 33\/7 + q. Is -1 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 times -26.549093\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 589450.6 micrograms?\nAnswer: 589.4506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2449564, 2449563, 2449562, 2449561, 2449560, 2449559?\nAnswer: 2449558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 4231.581 micrometers?\nAnswer: 0.004231581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-3423)\/2282)\/((-260)\/(-257) + -1). Sort a, 0.3, -0.5, 0.\nAnswer: a, -0.5, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - 1. Solve -3*k - 2*m = -4, -d*k + 5*m - 4 = -17 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 275?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (34 - 63 + 32)*(k - k - 2*k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the first derivative of -g**3\/3 - 5*g**2\/2 + 6*g - 4. Let m be v(-6). Suppose 0 = 3*q - m*q - 177. What are the prime factors of q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 780 = 195*m, -21*n + 25 = -40*n + 18*n + 9*m - 4*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.447 - -0.347. Which is the nearest to 0? (a) -1 (b) 0 (c) 0.5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 99*q - 465 - 102*q + 465.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (q**2 - 4 + 3 + 0*q**2)*(0*q + q**2 + 0*q)*(q - q - 14*q).\nAnswer: -14*q**5 + 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-218 + 110 + 128 + f**4)*(-1 - 6 - 15)*(3 - 4 - 1).\nAnswer: 44*f**4 + 880","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the second derivative of -9693*g**5\/20 + 1715*g**2 - 271*g + 3. Differentiate u(r) wrt r.\nAnswer: -29079*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 347574155 to the power of 1\/3, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t and 2 v when four letters picked without replacement from {v: 4, t: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d**3 - d**4 + d**3)*(-4*d - d + 0*d) + d**5 - 243*d**4 - 2*d**5 + 226*d**4.\nAnswer: 4*d**5 - 17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 10, l: 4, b: 2}. Give prob of sequence lllb.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 602579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 55 + 32314032?\nAnswer: 32314131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:50 AM and 5:19 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*o - 5*t + 7 = -9, 3*t - 8 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.06 + 10.94. Let m = 7 - l. Let r = 162 + -1137\/7. Which is the second smallest value? (a) m (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + 3*x + 142 = 114, -n + 7 = 2*x for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -608 or -416?\nAnswer: -608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0781082 nanometers in micrometers?\nAnswer: 0.0000781082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 20272 + -12122. Suppose 0 = 3*v - 12, 4*l - i - 14978 = -3*v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {g: 7, x: 1, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-3 - (-73)\/(-18)) + 2 and 69\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 103*b**2 + 9*b + 75. Let a be o(-27). Suppose -68*y + 17*y = -a. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the second derivative of 0*h**6 + 0*h**4 + 0*h**5 + 1\/42*h**7 + 0 - 4*h + 0*h**2 - 1\/3*h**3. What is the second derivative of s(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 99\/924*(-3)\/(54\/(-14)). Let w(v) be the first derivative of -2\/3*v**2 - 1\/15*v**5 + j*v**4 + 0*v + 4\/9*v**3 - 4. Determine s so that w(s) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000012513 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.97 - -21.97. What is the closest to -2\/5 in t, 3\/4, -6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*f + 9282 - 9282 - 48*f**3 wrt f.\nAnswer: -288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -21*s - 1632. Determine l(-91).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 59, 0, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -212 + -20?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -36759 - -20421. Let s = v + 27310. Let t = s + -16172. What is t rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 12 + 1 = 0. Let f(x) = -x**2 + 11*x + 1. Let o be f(t). Solve 4*p = -5*u - 40, -u - 3*p + o = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 56 and 1792.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 5*k + r, 0 = -5*k - r + 5*r - 21. Let p be 3 + (-96)\/20 - -1. Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 20 + -15. Solve -r = -x + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*l**2 + 10*l**2 - 19*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 79 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the second derivative of -5*z + 0*z**3 + 0*z**7 + 0*z**2 + 0 - 1\/6*z**4 - 5\/56*z**8 + 0*z**5 + 0*z**6. Find the third derivative of m(r) wrt r.\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*i*j**3*k**2*l**2 - 2*i*j**2*k**2 + i*j**2*k - 3*i*k**2*l - 361*i*l**2 + 23*j**3*k*l wrt l?\nAnswer: -4*i*j**3*k**2 - 722*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 248257\/228 + 3557\/57. Let h = 5772\/5 - j. Calculate the common denominator of 93\/28 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1412767\/661 bigger than -2136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -8101, -32487, -73119, -129991, -203097, -292431, -397987, -519759?\n\"Answer: g**3 - 8129*g**2 - 6*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4669, 4667, 4665?\nAnswer: 4663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.648356t in milligrams?\nAnswer: 648356000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v + 65 = 11*o - 6*v, 3*v = 5*o - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 528744 is divided by 16021.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from edkdijekkk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(4\/6 - 1). Let y(s) = 2*s**2 - 3*s + 1. Is y(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 84 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l**5 + 2475*l**4 + 277145*l**3 - 1135935*l**2 + 1430510*l - 574200 = 0.\nAnswer: -319, -180, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 415 = 58*k - 53*k. Let h be (-53)\/(-1 - 1 - -3). Let a = k - h. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -164*o**2*u**2 + 745*o**2*u + o*u + 65236*u**2 + 4 with respect to o.\nAnswer: -328*o*u**2 + 1490*o*u + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.2 - -1. Let o = 183\/434 - -3\/434. What is the smallest value in u, 15, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 105\/1242*3 + 5\/(-20). Let i = 2479\/1380 + l. Suppose -3\/5*u**3 + 3\/5*u - i + 9\/5*u**2 = 0. Calculate u.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3 - -7. Let m(f) = 4*f - a*f + 2*f. Let j(u) = 3*u**2 - u**2 - 5*u**2. Calculate j(m(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes after 6:24 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 5024.854 decades to millennia.\nAnswer: 50.24854","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: What is 2430155 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -467, -935, -1403, -1871, -2339, -2807?\nAnswer: -3275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 2)*(2*a + 2*a**4 - 2*a) - 3*a**4 + 2*a**4 + 3*a**4 - 3*a**4 - 3*a**4 + 5*a**4 + (-2 - 1 + 5)*(-2*a + 5*a - 2*a)*(-6*a**3 + 4*a**3 + 4*a**3).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 917, 2, -47, -1 in decreasing order.\nAnswer: 917, 5, 2, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**0*(q*q**(4\/5))\/q)\/(q**(-3)*q**(-5\/6)) assuming q is positive.\nAnswer: q**(139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*-5*6*-5*(-6*(sqrt(125) - sqrt(125)*1)**2 - sqrt(125)).\nAnswer: -3750*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 - 4) + 4 + 13. Suppose -33 = a*h - 14*h. Let d = -3 - h. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the third derivative of x**4\/24 - x**3\/3 + 40*x**2 + 2*x. Let z(c) = -c**2 - 4*c + 8. Determine 9*s(m) + 2*z(m).\nAnswer: -2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract 473.860307532 from 0.03.\nAnswer: -473.830307532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = -10*v - 6. Sort -2\/3, v, -19, 1 in ascending order.\nAnswer: -19, v, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -7 (b) -2\/13 (c) 5 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {n: 1, s: 1, z: 1, f: 5, e: 1, l: 4}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13 - -15. Let m be (-14)\/(-21) - 34\/6. Put 0, m, o in increasing order.\nAnswer: m, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -37.39942 + 37.72. Let n = 14.74758 - y. Let x = n - 14.5. What is x rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -3 + 3*g**2 + 2*g - 8 + 5 + 0*g**2. Let j be i(-3). Let n = -3 + 5. Solve -12 = -5*a + p + 3*p, -5*p = n*a + j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10 - 6. Suppose 4*f + 2*y + 4 = -2*y, -f + 4*y - 11 = 0. Let r = 3 + f. Solve -5*p - 23 = 3*l, p + h*p + 20 = r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - (-4 + (0 + 5 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.4? (a) 4 (b) -58 (c) -1\/16 (d) -3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the first derivative of p**2 + 56. Let t(l) be the first derivative of -l**3\/3 + 2. Calculate v(t(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41563.\nAnswer: 89, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 187*c. Let n(s) = 3*s. Give d(n(t)).\nAnswer: 561*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 13, -1, 574, -10, 5 in ascending order.\nAnswer: -10, -1, 5, 13, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -4, 9, 32, 71, 132, 221, 344?\n\"Answer: a**3 - a**2 + 9*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 299747 is divided by 49919.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -208\/355 + -1\/71. Which is the second smallest value? (a) i (b) -4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -20604602 (base 7) to base 13\nAnswer: -493484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 83*y**3 - y - 22*y**3 + 402*y**3 + y.\nAnswer: 463*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {u: 6, t: 4, h: 4}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 114014736*b + 262075661 wrt b?\nAnswer: 114014736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 644783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(2700) - sqrt(2700))\/(sqrt(864)\/sqrt(6) + sqrt(9)) - 4*(sqrt(363) + -2*sqrt(363) + sqrt(363) + 3).\nAnswer: -12 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**2 - 18*k + 16. Let d be h(-19). Let n = 146\/65 + -12\/5. Which is the closest to d? (a) 2\/7 (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-11) + (-4)\/(-22). Suppose q*l = -l. Suppose -4*v + 24 = -r, 0 = -v - l*v - 2*r + 15. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -3*i - 8, 31 = 4*z - 3*i. Suppose 0 = -z*b + 9 - 1. Suppose 2*p + 74 = 4*a, -2*a + b*p + 17 + 21 = 0. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e and 1 y when four letters picked without replacement from {y: 1, r: 3, e: 3, w: 2, d: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes after 6:26 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -17.18 times 0.31?\nAnswer: -5.3258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*w - 31*w = -7. Let v(u) = u**2 + 2*u - 7. Let c be v(-5). Do w and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*c + 0*c = 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000508308324 to six dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -5*p - 7. Let i be p\/(-2) + (-8)\/16. Suppose -2*t + 3*y - 2*y + 7 = i, 0 = t + 4*y - 17. Solve -4*v + 5*v = -t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 241480 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -3*z**2 + 2*z**2 + 4*z**2 - 4*z**3 + 4*z**5 + z**6. Let r(s) = -s**5 + s**3. Let v(c) = p(c) + 4*r(c). Find the third derivative of v(a) wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 2*j - 3*q + 369 = 0, -5*j = -4*q - 597. Let f = j + -181. Is 19 a factor of (f\/25 + 2)\/((-3)\/795)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 312166198 + -312171927.11022. Let a = v + 5729. Let s = 0.11 + a. What is s rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 + 5*h**2 - h - 5. Let y be d(-5). Suppose 4*f = 4*r - 32, -10 = r - y*r + 5*f. Suppose 0 = -r*i + 65 + 45. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*b - 2*x + 3, b + 6*x = 5*x - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.1 + 0.6. Let f = q + -0.57. Let p = f + 3.07. Which is the closest to 1? (a) p (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 7\/(0 + 2 + -1). Suppose -l + 9 - i = 0. Solve -p = -5*d + 3*d + 13, -l*p = d + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that -2*i**4\/7 + 440*i**3\/7 - 20234*i**2\/7 - 19668*i = 0.\nAnswer: -6, 0, 77, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 141.0000133 + -141. What is w rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 100 = 3*t, -4*t - 108 = -o + 29. Is 3 a factor of (-4)\/34 + 64\/t - -126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/41 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of 26*x**2 + 0*x**7 + 17\/336*x**8 + 0*x + 0*x**3 + x**4 + 0*x**5 + 0*x**6 + 0. Find the second derivative of r(s) wrt s.\nAnswer: 340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes after 4:06 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 139592108*o**4 + 706*o**2 - 7*o - 23.\nAnswer: 3350210592*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.05 - 0.18. Let g = v - 3.17. Let m = g + 8.4. Sort m, 2, -5 in descending order.\nAnswer: m, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 18250000 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 3, l: 3, y: 1}. Give prob of picking 3 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 2*g**3 + 4*g**2 - 6*g - 14. Let r be k(-3). Let m(a) = -3*a**2 + 3*a + 1. Suppose 4*c + 10 = -c. Let f be m(c). Does f = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*((m*m**47*m*m)\/m)\/m*m*m)**(-47) assuming m is positive.\nAnswer: m**(-2397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -55*r - 3. Let j be u(-3). Suppose 31*x + 2*b = 30*x - 22, -b - 38 = 2*x. What is the tens digit of 36\/j + (-860)\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -10, -3, 140, -4, 7 in ascending order.\nAnswer: -10, -4, -3, 0, 7, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be -6*(-3 + (-12)\/(-3)). Let a be (-1)\/9*o*42. Find the third derivative of 46*w**4 - 46*w**4 + a*w**6 + 2*w**2 - 14*w**2 wrt w.\nAnswer: 3360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 8*u + 3. Let a(c) = 4*c + 13. Let n(x) = -3*x - 8. Let w(d) = -3*a(d) - 5*n(d). Let k be (4 + -2)*34\/4. Suppose -4*z = 23 + 1. Give k*w(v) + z*o(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -7*t**2 + 16*t - 5. Let k(w) = 3*w**2 - 8*w + 2. Let u(m) = 2*b(m) + 5*k(m). Factor u(r).\nAnswer: r*(r - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -201*r**3 + 7*r**2 - r + 4. What are the prime factors of f(-2)?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -3*a**2 - 3*a - 5. Let o(u) = -2*u**2 - 3*u - 5. Let y(s) = -4*d(s) + 5*o(s). List the prime factors of y(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 847, -2, 114, 4 in descending order.\nAnswer: 847, 114, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b - 2*b - 3 = -l, -5*l - b = 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23*-5.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (11 - 23 - 18)*(-2*z + 4*z - 4*z).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the first derivative of -y**2\/2 + 1. Let m(z) be the first derivative of z**3 + 1. What is u(m(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16505047 divided by -3.\nAnswer: -16505047\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -871803, -1743607, -2615411?\nAnswer: -3487215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 639, 431, 81, -411, -1045, -1821?\n\"Answer: -71*p**2 + 5*p + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10 + -11. Let r be h + (3 - -1) - -10. Suppose 0 = -n + 48 + r. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4*n**2 + 27*n + 146?\nAnswer: -8*n + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -131147273473\/78207 + 1676925. Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + -2 + (-23 + 16 - -6) + -7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - 15 = -3*o, 3939 - 3949 = -5*m - 2*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 2*l - l - 1196 - 2*l + 1196. Let v(m) = -105*m + 2. What is j(v(q))?\nAnswer: 105*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 + -1. Solve d*s = -5*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 569 and 44984571?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 405461903 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 3*j = -6*j - 2, 4*j = -4*f. Sort 1, -1, f in descending order.\nAnswer: 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 118975?\nAnswer: 5, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -79996400 to the nearest one million.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j - 3*j + 4*j)*(3*j - 3*j + 2*j) + (11 + 15 - 36)*(-j**2 + j**2 - j**2).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 8757409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 87845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1301 - 13?\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.02 - -0.152. Round h to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 3 + 1)*(-15 - 15*f - 54 + 14*f) in the form i*f + l and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 2 e, and 1 i when four letters picked without replacement from {e: 3, k: 1, v: 4, i: 1, f: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 959 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 108500 = 7*s + 19922. Suppose 6*v - s = 16512. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -29? (a) 1\/2 (b) -2.958 (c) -1\/340\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 735 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*t**2 + 16*t**2 - 69*t**2.\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z - 4. Let d be b(6). Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-5)*5\/50*20*2\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 15 + 60. Let h = -6 - t. What is the highest common factor of h and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**2 + 7*s + 30. Let w be f(9). Let r be (20\/6)\/(w\/72). Solve -r = 4*b - 0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -99\/27964 and 21\/8.\nAnswer: 55928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 4326*y**3 + 2*y**2 - 1. Let a be 46\/(-69) - (-5)\/3. Is z(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -831 - -833. Let j(r) = -2 - r + 4 - r**x + 2*r**2 + 13 - 17. Calculate j(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4197263 divided by 15.\nAnswer: 4197263\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be (60\/8)\/((-3)\/(-2)). Solve 0 = -y*p - 4*i - 22, -6 = -3*p + 10*i - 6*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38 + 13 = -2*a - 40 + 137 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9*(-21)\/(-567)*108\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 14188041?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 166225 and 4880?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 6*a - 12. Determine h(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v**2 + 58*v - 841 = 0. What is v?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (23 + 1)*(161 - (-40614)\/(-252)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*r**3 + 80406*r**2 + 7218315*r + 162275400.\nAnswer: 3*(r + 45)**2*(r + 26712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1255, -1133, -805, -169, 877, 2435, 4607?\nAnswer: 7495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in sixty-four fifths of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 2*b = -102, -5*b = 4*z - 15 - 180. Suppose 5*l + 15 - z = 0. Sort 0.4, l, -4.\nAnswer: -4, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*z + 361027 + 179012 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5655\/26)\/(-29)*(-8)\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the third derivative of f**4\/6 - 5*f**3\/6 - 24*f**2. Calculate m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*(f\/(f**0\/f))\/f)**33\/((f*((f**(-3)*f)\/f)\/f*f)\/f**(-6)) assuming f is positive.\nAnswer: f**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00067903989 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -53114111 (base 6) to base 12\nAnswer: -628937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be 12*(55\/10)\/11. Calculate the greatest common factor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 31 + -27. Solve s*u + u = 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 13, -4, -2, 14, 1.\nAnswer: -4, -2, 0, 1, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 7.172275 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*x**2 + 30*x**2 - 1122*x - 1125*x + 3328*x - 1081*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 + 3*j**2 + 8 - 19 to the form u*j**2 + h*j + l and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -4*((-28 - 1) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13 + -41. Let a = z + 63. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20.6 - 1307121?\nAnswer: -1307100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6604684\/59 or 111944?\nAnswer: 6604684\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 25*y**4 - 28*y**4 - 60*y + 8583*y**2 - 8584*y**2 + 5729 wrt y.\nAnswer: -12*y**3 - 2*y - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*u**4 + 4*u**4 - 584 + 583 - 3*u + (-2*u**4 + 0*u**2 + 0*u**2)*(-2 - 1 + 2) to t*u + x*u**2 + s + k*u**4 + n*u**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 5 = 3*l, -5*r + 2*l + 3*l + 15 = 0. Suppose 0 = -3*m - m + 12. Solve -m = -r*d + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 131088284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -370*x**3 + 25*x - 50. Let r(c) = -31*c**3 + 2*c - 4. Give 4*a(w) - 50*r(w).\nAnswer: 70*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.09, -38, 2\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14.7 - -14.7. Let f = -8.8 - 25.2. Which is greater: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1056, -4246, -9564, -17010, -26584?\n\"Answer: -1064*p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3616318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**3 - 19*l**2 + 3. Let t be o(19). Let q be (0 + 0)\/(-7 + 5). Suppose 2*d + 23 = t*d - b, q = -2*b. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 357066059?\nAnswer: 7, 51009437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15 + 8 - 53)*(-19*j + 327 - 327).\nAnswer: 1140*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 8770, 8772, 8774?\n\"Answer: 2*l + 8768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14446*n - 1120 + 7226*n + 4*n**2 + 7220*n to the form c*n**2 + t*n + l and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2471505, -4943004, -7414503, -9886002, -12357501?\n\"Answer: -2471499*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -383974, -768183, -1152392, -1536601, -1920810, -2305019?\n\"Answer: -384209*u + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 49794685?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 309020971?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -9*w**2. Let p(y) = -554 + 554 + 4*y**2. Give x(p(n)).\nAnswer: -144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -1699?\nAnswer: 5\/1699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Are -414792 and -414793 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be -6 - (1 + -5 - 0). Let b be (-3 + 3)\/j + (-21)\/(-3). Solve 1 = 3*w + b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 211665278 to the power of 1\/2, to the nearest integer?\nAnswer: 14549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 205485338 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 344 (base 5) to base 7.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (100\/210)\/((-138)\/207).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5014907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -12054, -20510, -28966, -37422?\n\"Answer: -8456*u - 3598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -10\/11, -2, -22 in decreasing order.\nAnswer: -10\/11, -2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1030 (base 4) in base 8?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*s = 18*s - 105. Let p = -115 + 256. Suppose 3*i - s*z - z - p = 0, -47 = -i - z. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 28*g**2 - 2*g + 5. Let z = 5 + -8. Is s(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21517001461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 5:38 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1386542? (a) -1 (b) 2\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 19, -1, 9, -2, 49, -5 in ascending order.\nAnswer: -5, -2, -1, 9, 19, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -498, -1658, -3470, -5934, -9050, -12818, -17238?\nAnswer: -22310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -18 - (19 + (-41 - 4) + -48)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 125? (a) -3\/7 (b) 0.3 (c) -0.14 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -9, -7.714, 0.7, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40822 is divided by 1315?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 2*c**2 - 3*c. Let i be 2 + 2\/(-2)*10. Let w = i - -3. Suppose 3 = -d - 0*d. Let o(q) = -3*q**2 + 5*q. Give d*o(r) + w*t(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.15 - -0.05. Which is the third smallest value? (a) 3\/2 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: In base 4, what is -31202210 - 1131120?\nAnswer: -32333330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -5\/2, 2\/5, -1338\/31, -0.4, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-531)\/177)\/(3\/(-3)). What is the fifth smallest value in k, 0, -1\/2, -2\/69, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.11 - 0.89. What is the closest to b in 0.2, 3, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/((-3)\/((-3)\/1)). Suppose -c*t - 20 = -8*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9419449181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1321*g**4 - 17*g + 21 wrt g?\nAnswer: -15852*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 4*a**2 + a. Let d = -32 + 31. Determine f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 852.2304 months to years.\nAnswer: 71.0192","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4909*s**6 - 75*s**4 + 1006*s**2 + 2*s + 88?\nAnswer: -589080*s**3 - 1800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -34 - 986*j + 1980*j + 66*j**3 - 994*j wrt j.\nAnswer: 198*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/(-10)*20\/2. Suppose 0 = 4*v - 4*a - 0*a - 60, i*a - 52 = -4*v. What is the common denominator of (10\/v)\/((-9)\/81) and -65\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 1\/3, -4\/13, 2, -4, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose n**4\/2 + 536283*n**3\/4 + 3485777*n**2\/4 + 2949489*n\/2 + 536270 = 0. What is n?\nAnswer: -268135, -4, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 4*x + 2412 = 0, 0 = -32*r + 35*r + x - 1801. Calculate the remainder when r is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 19250*q**3 - q**2 + 5*q - 6. Let u be (-1)\/(21\/6) - (-48)\/21. Let k be d(u). Suppose 0 = 9*b - 8*b + k. Round b to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, t: 10}. Give prob of sequence tuu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in -1\/2, -0.3, 1\/3, 10, -0.6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (134 - 21*r**2 - 134)*(-8*r**2 - 12*r**2 + 7*r**2)*(-3*r + 3*r - 2*r).\nAnswer: -546*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 5*b + 4. Let m be (108\/(-48))\/(15\/(-12) + 1). List the prime factors of q(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-1048\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(76)\/(sqrt(4)*1) - sqrt(228)\/sqrt(48).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 28\/153 - 2\/1683. Which is the fourth biggest value? (a) x (b) -0.5 (c) 5 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 3*w**2 - 52*w - 24. What is the remainder when u(27) is divided by 64?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 3*t**3 + 9*t - 4. Let c(r) = -r**3 - 2*r + 1. Let a be ((-6)\/5)\/((-10)\/75). Suppose 107*v = 196 + 18. Determine a*c(u) + v*p(u).\nAnswer: -3*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 20435341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -0.3 (c) 530165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*a**4 - 1170*a**3 - 10*a**2 - 9 wrt a?\nAnswer: 48*a - 7020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes after 1:05 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve p = -3*m + 9 + 37 + 26, 3*m = 72 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c + 10. Let w be u(-7). Suppose 0 = -3*f - 0*i + i + 51, -w*f + 51 = 2*i. Suppose -5*v - 41 = -2*s - s, -s + 5*v + f = 0. Solve s = -4*k - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -825334115 and 0.04?\nAnswer: 825334115.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does -616418 = -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -7*o**3 + 4*o + 14. What is the hundreds digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -859*b**2*d**4 + 3*b**2*d**2 + 2*b**2 + 7073 wrt d?\nAnswer: -3436*b**2*d**3 + 6*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-8)\/(-6))\/(2\/54). Suppose 4*z = -b - 58, -5*b - 4*z - r = 190. What are the prime factors of (b\/1)\/(60\/(-40))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -68 = 2*b + 4*a, 3*a = -b + 2445 - 2494 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 26280067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13361000?\nAnswer: 2, 5, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(432)*-3 + (sqrt(3) + 3*sqrt(3) + 3)**2.\nAnswer: -12*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 31045560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -22758.347 rounded to the nearest ten?\nAnswer: -22760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 53685 and 35790.\nAnswer: 107370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -119*g*k**2*p**4 + 2148*g*k**2*p**2 + 369*g*k - 33803*g*p**4 - 8*k**2*p**2 wrt p.\nAnswer: -2856*g*k**2*p - 811272*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 9733759 to the nearest 100000.\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22575 divided by 7525.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*l = -0*l - 120 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(66)\/sqrt(2)*2)\/((sqrt(192) - (sqrt(192) + (sqrt(192) - (sqrt(192) + -2*sqrt(192)))))*-6).\nAnswer: -5*sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -2.6 (c) -0.4 (d) 2 (e) -0.1 (f) 55 (g) 69\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21189144.\nAnswer: 2, 3, 882881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 11, -1\/4, -8524, 0 in descending order.\nAnswer: 11, 0.4, 0, -1\/4, -8524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -56 - -54. Suppose -9*g - 289 = -271. Let h = -10\/23 + -19\/115. What is the nearest to g in h, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4125 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 849 and -21130.\nAnswer: -17939370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*(3\/3)\/((-10)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 1323 * -0.4.\nAnswer: -529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 44 + 2. What is the remainder when j is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3998094195 to the nearest integer?\nAnswer: 63230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 - 8. Suppose q*h + 34 = 3*f, 2*h - 1 = 2*f - 17. Solve -5*o + 2*r = 3*r + 14, -3*o - f*r - 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from keke. Give prob of sequence keke.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -144, -352, -614, -930, -1300, -1724, -2202?\nAnswer: -2734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -18080?\nAnswer: -18079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 30*l + 982. Determine p(-24).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the second derivative of 7*j**6\/720 + j**4\/6 + 7*j**2 + 13*j. Let s(t) be the third derivative of w(t). Let n(f) = 2*f**2. Give s(n(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-6))\/((-4)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 84.6, 5, -4, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 135552408.\nAnswer: 2, 3, 5648017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (17 - 36) + (2 - 0 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 8*n + 16 = 0, -4*q + n = -48. Suppose 4*z = 7*x - 2*x - q, 0 = 4*z - 2*x - 2. Suppose 2*b - 120 = -z*b. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1744950 by -1.\nAnswer: 1744950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + 5 + 10 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -3*j - 12. Let p(g) = -2*g - 13. Let y(m) = 4*n(m) - 5*p(m). Let s be y(-5). Let a = s + -26. Sort -2, 2, a in increasing order.\nAnswer: -2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (1 - (-828)\/63)*(-7)\/(-92) and (-3960)\/448 + 2*2\/(-14).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*t**3 - 17*t**3 - 14*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -681492 and -0.1?\nAnswer: 68149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*l**3 - 8*l**2 - 8*l.\nAnswer: 2*l*(l - 2)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 698141 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1.7 (b) -7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -31, 1796, 3, -2 in descending order.\nAnswer: 1796, 3, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence krx when three letters picked without replacement from rkerxrrrxerrrk?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify o*(o*o*o**(5\/3)*o*o*o)\/o*o*o**(-3\/8)\/o*o*o assuming o is positive.\nAnswer: o**(199\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -0.1956 (b) 0 (c) 0.021 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/6375 or 0?\nAnswer: -2\/6375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*w - 10*w + 91. Suppose l = 4*s - 702, s - 120 - 54 = l. Let u = s + w. Calculate the highest common divisor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -3*q - 1 + 3 - 4 + 3. Let v be r(-1). Solve -5*b = 2*x + 5, -4*b + 0 - v = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z such that -4*z**5 + 2476*z**4 + 5108*z**3 - 86940*z**2 = 0.\nAnswer: -7, 0, 5, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 - 1. Let i = -4\/81 - -182\/405. What is the closest to 0.1 in -1\/6, i, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 12 + 27 - 106 + 45 + 26*a in the form i + w*a and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 6*w - 12. Let m = w + -2. Suppose 4*g = y - m, -4*y + 3*g + 12 = g. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-6) + (-69)\/(-9). Suppose 0*q - 5*a = 5*q + 55, 5*a = q - 19. Let d = p + q. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -n - 17, -8*v - 41 = -13*v + 2*n. Find the second derivative of -9 - 4*f - 4*f + 64*f**4 + v wrt f.\nAnswer: 768*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 931261290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the second derivative of -a**6\/105 + a**5\/70 + a**4\/21 + 15*a. Factor c(k).\nAnswer: -2*k**2*(k - 2)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41237 is divided by 453?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/29, 0.2, -0.4, -39, 6, 9.\nAnswer: -39, -0.4, -2\/29, 0.2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1379 is divided by 126.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or 13752?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 2*u**2 - 83*u + 43. What is the units digit of h(57)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/30 + ((-216)\/(-280) - (-2)\/(-7))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 320.6, 1, 14, -295 in decreasing order.\nAnswer: 320.6, 14, 1, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 30 and 112.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**3 - 5*c**2 - 3*c + 5. Let i be ((-4)\/(-3))\/((-26)\/6 - -4). What is w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 84\/(-9)*(-6)\/4. What is the greatest common factor of 56 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (l**3 + 0*l**3 - 2*l**3)*(-56 - 20 - 37 + (0 - 1 + 0)*(2 + 3 - 6) + 4 + 8 - 3).\nAnswer: 103*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -2508.52663 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -21983\/698 + -2\/349. Suppose 0 = h + b - 33, 0*b - 2*b = -4. Let i = h + k. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 + 3)*(30 - (-551)\/(-38))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 70082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*d**2*s + 2*d**2*t**3 + 4977*d*s**2*t**3 + 9*d*s**2*t + 2*d*s*t + 18*s**2 wrt t?\nAnswer: 12*d**2*t + 29862*d*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21690 is divided by 835.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 246*r - 162. Let y be s(6). Suppose 4*i + 3*d - d - y = 0, -4*i - 4*d = -1312. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 - 3300123100222?\nAnswer: -3300123100230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4175*z - 4174*z - j - 18, -z - 5*j = 6. What is the least common multiple of z and 2462?\nAnswer: 17234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 234884, 469789, 704694, 939599?\n\"Answer: 234905*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is the product of -17 and -2921413?\nAnswer: 49664021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/(8\/(-14)) - -1. Let z(i) = i**3 + 5*i**2 - 6*i. Let m be z(a). Suppose m = 5*v + 15, -h + 2*v + 2*v = -20. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14.751 rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 382952 and 2236.\nAnswer: 214070168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2944296230?\nAnswer: 2, 5, 181, 491, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 8729200 to the nearest 100000.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:23 AM and 4:12 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times -5.371\nAnswer: -2.6855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1458) - (sqrt(1458) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - -3. Let b = 8 - 6. Let z(k) = -2*k + b - 2*k + 6*k. Give z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 8604984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-44)\/(-20) + -15 + (-5007)\/(-390)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (229*l**3 + 320*l**3 - 47*l**3 - 90*l**3)*(4*l + 0*l - l) in the form m*l**4 + d*l**3 + p*l**2 + k + f*l and give m.\nAnswer: 1236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bnjnjnnjnbnnnbjn. What is prob of picking 2 b?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -282*j**2*m**2 - 20206*j**2*m - 125*j*m**2 - j*m - m**2 - m - 2767 wrt j?\nAnswer: -564*m**2 - 40412*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 88.75998s to hours.\nAnswer: 0.02465555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of n**5 + 42105238*n**4 + n**3 + 5*n**2 - 14289*n + 5?\nAnswer: 60*n**2 + 1010525712*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**3 + 7*z**2 - 7*z - 2. Determine b(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((63\/(-14))\/9)\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from aaiaamaaimaaa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 283157989?\nAnswer: 283157989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 77 + -31. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 36 = -0*k. Let b be 114\/27 + 4\/k. Suppose -2*o + 0*f - 3*f - 5 = 0, -4*f = 2*o + b. Let s(j) = 2*j. Determine s(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((1 + 0)*-6)\/1. Let v(h) be the third derivative of -h**4\/6 - 7*h**3\/3 - 40*h**2. Calculate the lowest common multiple of v(m) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-216)\/(-612))\/(10 - (-566)\/(-68))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -8.8? (a) -2\/55 (b) -200 (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that -3*o**2 - 2514*o + 12645 = 0.\nAnswer: -843, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u - 23. Let p be a(13). List the prime factors of (p + (-42)\/12)\/((-1)\/730).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**1)**(1\/45)\/(i**1\/i)**(-1\/10) assuming i is positive.\nAnswer: i**(1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 4.47739186 to two dps.\nAnswer: 4.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.95742179 + 0.00989521. Let h = m + -0.567487. Let k = h - 2.4. Round k to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4425 + 4426. Which is the nearest to -1\/3? (a) -0.2 (b) -25 (c) 6 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2450 and 191002?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -8*h - 63. Let f be v(-9). Let d(k) = f*k - 26*k + 14*k. Let y(p) = -21*p. Determine y(d(b)).\nAnswer: 63*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 470 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 352\/(-264) + (-40)\/(-21)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-2 + sqrt(147) + sqrt(147)*1 + sqrt(147) - -6*(-2 + sqrt(147)))*-2.\nAnswer: -112 + 504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 993956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 52991150 divided by 50\nAnswer: 1059823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 9 = 0, -279 = 6*a - 11*a - 3*y. Which is greater: a or 53?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -170*h + 1. Let c be b(1). Let s = -76652 + 76483. Is c != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 75 + -77 - (0 + -1*137)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6\/107823571 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -4*p + 5, -2 = -4*p - 5*g + 11. Suppose 3*y = -2*i + 6*i + 4, -2*y + p*i = -4. Calculate the smallest common multiple of 6 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 215*v**4 - 14*v**2 + 246. Let u(b) = b**4 - 4*b**2. Let d(j) = -f(j) + 3*u(j). Find the third derivative of d(n) wrt n.\nAnswer: -5088*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 2*q**3 + 4*q**2 - 8*q - 3. What is h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6423 is divided by 429.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2462, -4924, -7386, -9848?\nAnswer: -12310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1 - (-7 - (-348)\/44). Let b(l) be the third derivative of 0 + w*l**4 + 7*l**2 + 0*l + 4\/33*l**3 + 1\/66*l**5. Factor b(i).\nAnswer: 2*(i + 2)*(5*i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -0.3 (b) -2 (c) -36 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d*d\/d**0*d)**41\/(d*d**(1\/2)*d**(-1\/6)*d) assuming d is positive.\nAnswer: d**(485\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 13*p + 2. Let l(m) = 781*m + 121. Let q = 5422 + -5785. What is q*k(b) + 6*l(b)?\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*g - 26 = -4*g + 5*v, 3*v = 3*g - 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0 (b) 1\/2 (c) 255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -6 less than 489644.40874?\nAnswer: 489650.40874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 178791.4 - 3455199?\nAnswer: -3276407.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -1 (c) 0.4 (d) 28 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4689430 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4613, -8615, -12005, -14783?\nAnswer: -16949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**2 + 8*k. Let w(u) = -5*u - 12. Let i(c) = -22*c - 48. Let g(v) = i(v) - 4*w(v). Determine m(g(y)).\nAnswer: -4*y**2 - 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**2 + 15*g - 14. Let b be k(-16). What is the second derivative of -3*v**b + 22*v - 21*v - v**2 wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (p**3 + 2 - 2*p - 2)*(11*p + 4*p + 23*p).\nAnswer: 38*p**4 - 76*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4779 is divided by 681?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 733303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 78 a factor of 4234920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(1\/4)*o)**(1\/26)\/(o**(-8\/3)*o\/o**(-6)*o) assuming o is positive.\nAnswer: o**(-1637\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 39296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 172 - 3 = 2*b, 5*t - 3*b = 175. Let n = -14 + 40. Let a be n\/6 - (-4)\/6. What is the greatest common factor of a and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11010000 + -100?\nAnswer: -11010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -3 - 4*z + 10*z + 7*z**2 + z**3 - z. Let t be n(-6). Suppose -t*y - 2*y = -140. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes after 8:10 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3024729106 to the power of 1\/3, to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -28487 (b) -6287 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 2c6 (base 15) to base 9\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-35*f + 8 + 4*f**2 - 40 + 34*f)*(-2*f - f + 0*f)*(2*f - 1 + 1) to the form r*f**2 + d*f**3 + p*f + g + b*f**4 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*k**3 - 1 + 84*k**3 + 103*k**3 + 2*k**2 - 36.\nAnswer: 164*k**3 + 2*k**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 378 + -376. Determine z, given that 1715 + 26*z**3 + 921*z - 77990*z**4 + 252*z**f + 157*z + 77991*z**4 = 0.\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3566061 and 26055.\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -5*h + 8, 0 = 3*t - 7*h + 5*h - 8. Solve 3*w + 5 = g, -10*w - t = -4*g + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 101734612.\nAnswer: 2, 7, 23, 41, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30156612.\nAnswer: 2, 3, 2513051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(-4))\/d**(-10)*(d*d**(2\/19)*d*d)\/d**21 assuming d is positive.\nAnswer: d**(-55\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r - j + 220, 9*r = 8*r + 4*j + 38. Let s(x) = 12*x + 54. What is the lowest common multiple of s(-4) and r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + 15 + 3 - (1 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.05? (a) 1\/4 (b) -4210591 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*d + 3*d - 2*d - 3*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 1. Let o(h) = -4*h + 3. Let x = 2199 + -2196. Let s be -6*((-2)\/(-3))\/(-2). Suppose 3*m - w + 2 = 1, 0 = -w - s. What is m*o(u) + x*z(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2689629441 - 12920979725257\/4804. Let z = 4\/1201 - n. Calculate the common denominator of (-6)\/(-16)*(-38)\/4 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 2*s**3 + 3*s**2 - s - 5. What is the tens digit of z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*j**3 + 993*j**2 + 22698*j - 77112.\nAnswer: 3*(j - 3)*(j + 28)*(j + 306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the second derivative of d**3\/2 - d**2\/2 - 10*d. Let u be b(-3). Let x be (-10)\/u - 7\/6. What is the third smallest value in x, -3, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b + 5*p = -7, 1383*b - 3 = 1386*b + 5*p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d, 1 b, and 1 x when three letters picked without replacement from {d: 4, x: 7, b: 1, a: 8}.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 13 = 16. Suppose 4*h - 28 - 44 = 0. Let l = t - h. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11250 + -11173. Calculate the remainder when x is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 465*k**3 - 18*k + 312. Let q(j) = -133*j**3 + 5*j - 89. Let b(v) = -18*q(v) - 5*u(v). Find the first derivative of b(w) wrt w.\nAnswer: 207*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -493*i + 497*i - 44 = -10*j, -16 = -5*j + 4*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -174*a + 1409. Let m be g(8). Solve -13 = -4*r - m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8103540 divided by -6.\nAnswer: 1350590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 3:14 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -580*j. Let s(r) = 151*r**2. Determine x(s(z)).\nAnswer: -87580*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-18)\/(-54)*(24 + 0). Suppose 20 = 12*v - q*v. Let o be (-4 - -5) + 5\/(v\/3). Solve 0 = -2*j + o*a + 2, -3*j - a + 0*a = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -3*x - 0*x, s + 2*x - 103 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t - t - 12. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that 3*a**4 - 71*a**3 + 46*a**2 = 0.\nAnswer: 0, 2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.06 and -14.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 511? (a) 6 (b) 2 (c) -5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(363) + 1 + sqrt(363) + 4)**2 - (2 + sqrt(48))**2).\nAnswer: 204*sqrt(3) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 39344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -10456590731 + -9.3\nAnswer: -10456590740.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**5\/3 - 9*y**4 - 25*y**3 - 73*y**2\/3 - 8*y.\nAnswer: -y*(y + 1)**3*(y + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -28*y - 68. Let q be z(8). Let g = 295 + q. Which is the third biggest value? (a) 2 (b) 4 (c) 2\/3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 2*t**2. Let v = 4694\/51 + -1542\/17. Let l(y) be the second derivative of 0*y**2 + 0 + 10*y + v*y**3. Determine g(l(p)).\nAnswer: 128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4\/7 (b) 69 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -2*v + 78, -2*v + 0*f = f - 81. Suppose -4*c + 2*i + 80 = 0, 2*c + 2*i = -0*i + v. Let h = c + 77. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the third derivative of 80077\/300*k**5 + 3362\/15*k**3 - 133\/20*k**6 + 7\/150*k**7 + 0*k + 779\/2*k**4 + 13*k**2 + 0. Factor n(c).\nAnswer: (c - 41)**2*(7*c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17973.34548 - 0.34548. Let l = p + -17972.1879. Let w = 0.8 - l. Round w to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 2*y + 16 = 3*h, 2*h = -4*y. Suppose -6*u + 5*r = -3*u - 40, h*r = u - 4. What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 2*d**2 + 282*d + 560. Let c be t(-2). Let o(k) be the third derivative of 1\/56*k**c - 1\/420*k**5 + 0*k + 2\/21*k**3 + 15*k**2 + 0. Factor o(z).\nAnswer: -(z - 4)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2049 is divided by 225?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o = 2*n - 31, -19*n - 6 = 3*o - 16*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - 3*m + 4 = 0, 2*y = m - 5*m + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -166 = 17*v - 30. Let a(u) = u + 1. Calculate a(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 563488*j**2. Let p(i) = -522*i**2. What is s(p(a))?\nAnswer: 153541464192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6 + 45\/5 - 7. Suppose -3*x = 5*z - 1156, 5*z = -6*x + t*x - 804. Round x to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b. Let s(u) = -76*u + 11. Let j(f) = 0 + 2 + 1860*f - 1875*f. Let c(x) = 11*j(x) - 2*s(x). Determine c(l(q)).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 13 = 1. Suppose -4*w + 0*w = -4*q - l, -q = 2*w - 9. Suppose -w*b + 27 = -37. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 2)*(0*t**3 + 0*t**3 + 2*t**4) - 2*t**4 - t**3 + t**3 + 2*t**4 - 85*t**4 - 93*t**4.\nAnswer: -180*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 8*n**2 - 667469. Let v(g) = -6*g. Determine v(t(u)).\nAnswer: -48*u**2 + 4004814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5b - 5b9?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 66836.56 - 194412000\nAnswer: -194345163.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 152\/114 - 184\/12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -2*o**3 + 62*o**2 - 59*o - 27. Let r be w(30). Factor 3*n**r - 10*n + 27*n**2 - 10*n**2 - 10*n**2 - 4*n**3.\nAnswer: -n*(n - 5)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -56 + 58. Find the second derivative of -16*j - s*j**2 - j + 16*j**2 wrt j.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2193)\/(-102))\/(10\/20).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) 2060 (c) 1\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -24820539, -49641076, -74461613, -99282150?\n\"Answer: -24820537*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/1394718 and 38\/377.\nAnswer: 40446822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41427 is divided by 3452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 27335761 to the power of 1\/2, to the nearest integer?\nAnswer: 5228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -22*c + 465. Determine t(16).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -s + 8*s**2 + 4*s**2 + s**4 - 3*s**3 - 10*s**2 + 5*s**3 as n*s**3 + i + k*s**4 + l*s**2 + w*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -24882352.73 + -367291.27. Let w = -25249171.99781 - j. Let p = w - 472. What is p rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(325)*-1)**2*6 + ((-2*(sqrt(91) - (sqrt(91) + sqrt(91)*-1 - sqrt(91) - sqrt(91))))\/(1*sqrt(112)))**2.\nAnswer: 60*sqrt(13) + 7941\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 53, 85, 115, 143?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36665 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/11726688 and -105\/34592.\nAnswer: 11726688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3\/2)\/((-2)\/(-96)). Let r be (-1 - 1)\/(32\/16). Let p be (i\/40)\/(r\/(-10)). Calculate the greatest common factor of p and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -233614 + 233615.00011. Let y = -0.03 - 0.97. Let x = o + y. What is x rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 37, 77, 139, 235, 377, 577, 847?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/16 + (-4)\/(6 + -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 64 divided by 2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 296 + -345 - 740\/(-16).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 10 - (-2873 + 21 - 19). What is the highest common factor of 172 and k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29800 divided by 4.\nAnswer: -7450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -44\/9*m + 2\/9*m**2 + 0.\nAnswer: 2*m*(m - 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3\/2*o**3 - 3*o**2 + 0 - 3\/4*o**5 + 3*o**4 + 9\/4*o = 0. What is o?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k + 3. Let p(b) be the second derivative of b**5\/120 + b**4\/12 - 3*b. Let f(a) be the third derivative of p(a). Calculate 3*f(x) - r(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 49 in -2\/13, 65, 3, -0.5?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 6*t**3 + 56*t**2 + 7*t + 7. Let d(m) = 2*m**3 + 19*m**2 + 2*m + 2. Calculate 7*d(g) - 2*r(g).\nAnswer: 2*g**3 + 21*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -135 = -5*o - 5. Suppose -2*c = -c - o. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41190?\nAnswer: 2, 3, 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**2 - 112*d + 1152.\nAnswer: -4*(d - 8)*(d + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence etpp when four letters picked without replacement from {k: 1, t: 2, p: 2, r: 2, e: 8}.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:19 PM and 3:47 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 47 + -46. Solve -4*d + 3*d = m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1011113210 (base 4) to base 8\nAnswer: 1052744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0 - 5\/6 - -1. Suppose 0*x - 3 = 3*x, 4*x + 24 = 4*o. Let n = -2 + 3. What is the nearest to n in t, o, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11960?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6312, 12542, 18768, 24990, 31208?\nAnswer: 37422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (9588*c**3 + 0*c - 9590*c**3 - 2*c + 3*c**2)*(-94*c**2 - 135*c**2 + 153*c**2).\nAnswer: 152*c**5 - 228*c**4 + 152*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -129.4 + 75.4. Let d = -0.157 + -80.843. Let k = t - d. Is k greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41218 is divided by 229?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 48107 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4357961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (20 + 111 + 17)*(d**3 - 3*d**3 + 0*d**3).\nAnswer: -296*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 379 = -5*b + 13854. Let a = b - 1736. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 77 - 83. Let b(m) = -m**3 - 5*m**2 + 7*m + 33. Calculate the remainder when b(w) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001372373 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z*(z\/(z**(-3\/5)\/z)*z)\/z*z*z\/((z\/(z**8*z))\/z))**(15\/7)*(z*z\/z**1)**(2\/169)\/(z**(-1))**(-26) assuming z is positive.\nAnswer: z**(8802\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2 (b) 3.02 (c) 3\/7 (d) -1 (e) -0.08 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 82\/14 - 7\/(-49) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -29339 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 6 + (203\/21 - 2 - 2\/3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -17 (base 9) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) be the second derivative of i**5\/20 - 3*i**4 - 35*i**3\/6 - 9*i**2\/2 - 5*i. What is the remainder when 317 is divided by x(37)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 38.09 - 0.09. Let y = 41 - w. What is the nearest to 0.1 in y, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -10389*u - 13003?\nAnswer: -10389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be -3*(-15)\/(-2)*-2. Let y be 1\/(-1) + (4 + -20 - -17) + 11. Solve 0 = y*l - 2*l - c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 10*w**5 + 3*w**3 + 5*w**2 - 3. Let u(c) = 30*c**5 + 8*c**3 + 14*c**2 - 8. Let h(a) = 8*i(a) - 3*u(a). What is the third derivative of h(b) wrt b?\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (101\/(-707))\/(9\/(-21))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes before 7:43 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -40412, -3, -0.87.\nAnswer: -40412, -3, -0.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y*y**(3\/5)*y)\/y**2)\/(y**(2\/21)\/((y*y\/y**(-2\/13))\/y)))**(2\/77) assuming y is positive.\nAnswer: y**(4528\/105105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor o**2 + 157*o\/3 + 1394\/3.\nAnswer: (o + 41)*(3*o + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1002513.9 and -3.\nAnswer: -3007541.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8.2 - -8.9. Round a to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.699273ml to litres.\nAnswer: 0.000699273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((k**10\/k)\/k)\/k*k)**(5\/11))**(-1\/24))**(4\/15) assuming k is positive.\nAnswer: k**(-4\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((3*(-3*3*(sqrt(245) - (sqrt(245) + -1 - sqrt(245))) + -2))**2 + 0).\nAnswer: 74844*sqrt(5) + 1078164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3807 - 3688. What is the remainder when 4042 is divided by i?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 43 + -29. Let r(c) be the second derivative of 63*c**5\/10 - c. Let q be r(1). What is the greatest common divisor of d and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -19*c - 21. What is the tens digit of z(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 221744 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m + w + w - 9, 0 = 3*m - w - 9. Let y = -2988 + 2986. Let z = -1.6 - 1.4. What is the nearest to y in z, -4\/3, m?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -35425 (base 6) to base 15.\nAnswer: -17be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9115465 kilograms in grams?\nAnswer: 911.5465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.950872 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -64, -82, -106, -136?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -145*c = 78*c - 42*c + 724 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4939670705 to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 7 (b) 2\/53 (c) -3\/5 (d) -1\/5 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -38*y + 6. Let w(x) = -33*x + 5. Let a(p) = 3*l(p) - 4*w(p). Calculate the remainder when a(4) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 264 and 264 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 1)*(0 - 5*g**4 + 0) + (0*g**3 + 0*g**3 + 2*g**3)*(179 - 179 - 103*g).\nAnswer: -211*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20674145.\nAnswer: 5, 4134829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 689*q - 402*q - 366*q + 2278*q.\nAnswer: 2199*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25863?\nAnswer: 3, 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -141*h**2 + 2261*h - 79. Give t(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 61\/27228 and -5\/42?\nAnswer: 190596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m + 3. Determine x(-29).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -13*x - 117. Let k(a) = -63*a - 644. Let f(d) = 2*k(d) - 11*v(d). Let u(g) = -16*g + 1. Calculate -3*f(o) - 4*u(o).\nAnswer: 13*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*b = 41 + 29. What is the lowest common multiple of 216 and b?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1692 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 394*h + 288*h - 414 + 414 + 69*h to i + g*h and give g.\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 367304*g. Let j(z) = 136*z. Determine j(l(b)).\nAnswer: 49953344*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5749361999 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 717181.5 minutes to milliseconds.\nAnswer: 43030890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.11 - 0.19. Which is the closest to 6? (a) d (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 150 - 150. Which is the closest to -5? (a) r (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 8791810 divided by -879181\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 6067569600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (221*v - 451*v + 154*v)*(3 - 3 + 12 + (4 - 3 - 2)*(-4 + 2 + 3)).\nAnswer: -836*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -695*d*u**3 - u**3 - 4*u wrt d.\nAnswer: -695*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 87777*b**2*z + 128*b**2 - 825835*b*z - 2*b - 40 wrt b?\nAnswer: 175554*z + 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 2*k**3 - 4 + 4 - k. Let d(g) = 5*g**2 + 7*g + 5. Let a(v) = v**2 + 2*v + 1. Let m(f) = -9*a(f) + 2*d(f). Let z be m(4). What is q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the third derivative of -293*s**5\/30 + s**4\/8 + 20*s**3 - 179*s**2. What is the second derivative of r(a) wrt a?\nAnswer: -1172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5019952 divided by -627494\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -3*v + 6*v, -90 = -2*a + 4*v. What are the prime factors of a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74598 is divided by 523.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 11758*k + 960612 = 8214 for k.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0 (b) -5.2 (c) -5 (d) 6 (e) -0.3 (f) -1 (g) 1\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7690332952 to the nearest integer?\nAnswer: 87695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(1\/5)*f\/(f*f**(1\/4)*f))**(8\/13))**(-4\/27))**21 assuming f is positive.\nAnswer: f**(392\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -14*b. Let y be w(-1). Let c(p) = -13*p + 566*p**2 - 259*p**2 + 15 - 299*p**2. Is c(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13 - (-28 + -6 + 6 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b. Let k(p) be the first derivative of 76*p + 2\/3*p**3 - 120 + 0*p**2. Calculate k(d(s)).\nAnswer: 2*s**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 20*a + 19*a = 252, 0 = -2*l - 4*a + 510. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the first derivative of -g**4\/4 - 8*g**3\/3 - 4*g**2 + 8*g + 11. Suppose 5*r = 0, -35 = t + 4*t + 3*r. Is x(t) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.06979368 and -1.\nAnswer: -0.06979368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = g - 5*f, 0 = -0*g + 3*g - f + 15. Let u = 5 + g. Solve u = s - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -59, -5 in increasing order.\nAnswer: -59, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 163.5 - 157. Let p = 4.5 - o. Sort -4, p, 3, 0.07.\nAnswer: -4, p, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jfjiijjfijijjj. What is prob of picking 1 f, 1 j, and 1 i?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 21\/10 and -101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 - 33030?\nAnswer: -33022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 261.7685km in centimeters?\nAnswer: 26176850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -0.3, 174, 1.1, -1\/37, 2\/3 in ascending order.\nAnswer: -0.3, -1\/37, 2\/3, 1.1, 14, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.156 * -0.53.\nAnswer: -0.08268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.2 - -0.9. Let u = 0.141 - 0.041. What is the biggest value in u, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15 - 8. Suppose -b = 4*w + 20, -3*w - 8 = -2*b + v. Which is smaller: 2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*z**2 - 26868*z + 53632*z - 26748*z.\nAnswer: -3*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*((-12321)\/(-2146))\/111.\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3476231.261 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*b - 98 - 87 = 0. Let q = -54\/5 - -56\/5. Are b and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 60f - -3d?\nAnswer: 64c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-9))\/((-56)\/(-252))*-19\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0.1, 10\/3, 17.\nAnswer: 0.1, 1, 10\/3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*i + 21 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.2 and -0.66?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 1017*r + 4045. Determine q(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t*t\/(t*t**(3\/14)*t))*t*t*(t**(-1)\/t)\/t)\/(t**(1\/8)\/t**(1\/15)) assuming t is positive.\nAnswer: t**(131\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**2 - 8*g + 2. Let z be c(-8). Suppose 0*x + z*n + 8 = -x, 4*x = -2*n - 2. Suppose -3 + 29 = x*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24 - n + 44 + 5*n - 6*n + 4*n + n - 12.\nAnswer: 3*n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 181439214*r**2 - 981749759*r?\nAnswer: 362878428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1480152 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -4*s - 28, -52*s + 50*s + 3*l = 19. Sort s, -5, -790 in decreasing order.\nAnswer: s, -5, -790","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -36, 2, 1, -1, 44, 4 in increasing order.\nAnswer: -36, -1, 1, 2, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b**3 - 40*b**2 + 87*b - 1065. What is n(38)?\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q = u - 17, 7*q - 28 = 4*u + 3*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - (-638)\/(-77)) + 10.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2 + 2 + 1)*-1. Let b be (-90)\/25 - (-2)\/(20\/6). Sort 2, h, b in decreasing order.\nAnswer: 2, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 13) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o - 9. Let i be (o\/5)\/(2\/(-10)). Suppose 4*c - 13 = -i*r, r + 5*c = 5 - 19. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * -7.1.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1044350 (base 6) to base 4\nAnswer: -30321222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 10 - (94 - 86)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*m**5\/3 + 3964*m**4 - 216264*m**3 + 882568*m**2\/3 + 44524*m - 126420 = 0. What is m?\nAnswer: -645, -3\/5, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 252\/((-120)\/(-20))*(-3)\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times 1.42855\nAnswer: 0.142855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 39.4 - 41.4. What is the nearest to 1\/4 in -22, 2\/7, -1, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 128 and 174272?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7*q**2*x - q*x + 13*q + 185*x wrt q.\nAnswer: 14*q*x - x + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.7153499 to 3 decimal places.\nAnswer: 0.715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1013443169?\nAnswer: 173, 739, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 40 = -2. Let t = 60 + u. Let z = t + -13. Solve -10 = -5*f - 5*l, 3*l - z = -11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -64899 take away 14?\nAnswer: -64913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = 1 - 11. Let y(l) be the first derivative of -7*l**2\/2 + 2*l + 2. Let q be y(j). Solve 0 = -c - 3*c - q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 + 53*l**2 + 92*l + 1759. Determine w(-52).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the second derivative of 55*h**3\/6 + 7*h. Let f be z(1). Let c = -18 + f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-1240)\/93)\/40)\/(-2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*j - 3*y = 13*j + 48, 2*y = -4*j - 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**2 + 9*r - 12. Let d be o(8). What is the nearest to 0 in -3\/5, -3, d?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the first derivative of z**7\/840 - z**6\/72 - z**5\/30 + z**3\/3 + 1. Let c(m) be the third derivative of k(m). List the prime factors of c(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 2 j when three letters picked without replacement from {a: 6, j: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:48 AM and 8:43 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 2*c + 6. Suppose -3*t - t + 20 = 0. Let f be g(t). Find the second derivative of f*w**4 - 24*w - 4*w**4 + 22*w wrt w.\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 219\/(-13) - 6\/39. Let l = 17 + f. Suppose -u + 5*b + 52 = 0, l = b - 3*b. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12415 and 39.\nAnswer: 37245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -6*x + 2 + 3 + 21*x - 4. What is the tens digit of j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**0\/((j\/(j\/(j*j\/j**12)))\/j))\/(j**(-2\/25)\/j*(j\/j**(3\/22))\/j) assuming j is positive.\nAnswer: j**(6719\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 + 2)*(-1 - -1). Suppose -2*s = -y*s - 16. Suppose o - 28 = -s. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 279221467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -29, 5, 2, 0, 359.\nAnswer: -29, -4, 0, 2, 5, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2040 (base 12) in base 15?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence evee when four letters picked without replacement from {c: 4, v: 1, e: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the second derivative of -17*m**3\/6 - m**2 - 2675*m. Let i(z) = -67*z - 9. Give 6*i(k) - 26*p(k).\nAnswer: 40*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**5*y)\/y)\/y)**(2\/3) assuming y is positive.\nAnswer: y**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13, -34, -55, -76?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 280791532 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 38, -4, 1108, 27, 0, -3 in descending order.\nAnswer: 1108, 38, 27, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -55 - -62. Suppose f*g - 122 - 382 = 0. Factor -4*m**3 + 144 + 84*m**2 - 96*m + g*m**2 - 200*m**2.\nAnswer: -4*(m - 1)*(m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + k = 128 - 435, -3*v + 236 = 5*k. Let x = v - 45. What is the greatest common factor of 48 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 = g + 5*d, 836*g - 834*g + 3*d = 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1163902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -7, 3.3, 6, 3\/7, 0.05, 3 in decreasing order.\nAnswer: 7, 6, 3.3, 3, 3\/7, 0.05, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1109.586 + 1115. Let z = w + -5.5. Round z to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46236037 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*a + 151 = -128. What is the highest common factor of a and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 205 - 197. Solve 5*z - u = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -9, -2\/15, -1\/49, -1, 3\/16, 0.1, 2\/21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -27373\/5 - -5475. What is the nearest to 0.1 in -48, -0.02, n?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -129 (base 10) to base 15\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14 + 32. Let h = -960 - -970. Calculate the remainder when r is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 57666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 22, 50, 86, 136, 206, 302, 430, 596?\n\"Answer: v**3 - 2*v**2 + 27*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12151 - 12148. What is the third biggest value in -1, -2, -4, k, -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 3*x**2 - 98*x - 36. Let f be h(33). Sort f, -8, -5, 5 in increasing order.\nAnswer: -8, -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/2*1)\/((2666\/62)\/(-43))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from osojjossjoss. Give prob of sequence sj.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11994, -24054, -36114, -48174?\nAnswer: -60234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 19*o**2 - 5*o**4 - 19*o**2 + (52 - o - 52)*(7*o**3 + 3*o**3 + 5*o**3) - 1 + 1 - 2*o**4 as t*o**2 + x + f*o + a*o**4 + n*o**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/5, 6\/5, 0.4, 2546 in descending order.\nAnswer: 2546, 6\/5, 3\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 AM and 9:50 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 110705.\nAnswer: 5, 7, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -2792 by 67.\nAnswer: -2792\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 - (7 + -9) - (2 - 5). Suppose -g = 5*x - 26. Let h(r) = 2*r**2 - 4*r - 1. Calculate h(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwp when three letters picked without replacement from {w: 3, p: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 240 a factor of 331920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 58 - 57 + 0*f**2 + 3*f**2 - 127*f + 123*f in the form s*f + a*f**2 + t and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6888*o**2 - 6809*o**2 + 13699*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 9) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -16 - -16.06. What is the second biggest value in h, -1, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((84\/(-5))\/7)\/((-2)\/15). Solve 3*z = -2*r - z + d, 0 = 3*r - z + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -4*(-43 + 46 + -2*(-15)\/(-6)). Solve -n*l = 47 - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 687 = -199*q + 221*q + 203 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 54.1935 + -0.0935. Let h = w + -54. What is the smallest value in -0.4, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:15 PM and 3:16 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 1. Let a(m) be the first derivative of m**2\/2 - 4*m + 7. Let p(z) = -a(z) - 3*b(z). Let c be p(0). Solve -2*q + 5*j + 13 = -c, q = j + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**2 + 19*a - 5. Let r(k) = -k**2 - 10*k + 3. Calculate 3*h(s) + 5*r(s).\nAnswer: -2*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:20 AM and 2:50 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the first derivative of o**4\/4 + 3*o**3 - 16*o + 149. Let h be (-108)\/14 - (-4)\/(-14). Is f(h) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 5807*d**2 + 3*d - 7. Let b be x(2). Suppose 6*m - b = 1289. Suppose 5*k - 11411 + m = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5692 - -45603\/8. What is the common denominator of 41\/20 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*s**3 + 12*s - 12*s - 3 - s**3 + 3 + (-1 + 1 + 2*s**2)*(2*s + 0 + 0) - 14*s**3 + 33*s**3 + 99*s**3.\nAnswer: 126*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 8\/31693193?\nAnswer: 8\/31693193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(-1))**22*n\/(n\/(n*n**(-1\/18)*n)*n)*n**0\/n)\/((n**14\/n)\/((n\/(n*n**10))\/n))**27 assuming n is positive.\nAnswer: n**(-11665\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**(2\/11)*r*r**(-7)*(r*(r*r\/(r\/r**(-12))*r)\/r)**(-34\/5))**(-2\/67) assuming r is positive.\nAnswer: r**(-1382\/737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 143 + -74. Let q = r + -68.99999884. Round q to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 7541.705 hours?\nAnswer: 452502.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -5*r + 8. Let w = -516 - -997\/2. Let z = w + 17. Sort r, 0.3, 1, z.\nAnswer: z, 0.3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 5*g + 1508 = 0, 3*y - 377 = 2*y - 3*g. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -11*p + 124. What is b(29)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - f = -2320, -2*w + 4*f = -335 - 571. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/(-1) + (124 - 111). Solve u + t = 5*f, 4*u = 9*u + 4*f - 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8469 + -9075. Are a and -617 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the second derivative of -h**7\/105 - 2*h**6\/75 - h**5\/50 - 5*h. Factor u(m).\nAnswer: -2*m**3*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4574049079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = -42.29 + 42. Let m = y - -5.29. Let b = -5.1 + m. What is the nearest to 1 in -5, -2\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 33 + 6 = 0. What is the remainder when 12 is divided by l - ((2 - 0) + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -92\/9 and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the first derivative of -m**2\/2 + m - 8. Let n be z(-4). Let a = 88 + -33. Calculate the greatest common factor of a and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -55 - -83. Let a(k) be the first derivative of -9*k**2\/2 - 3*k - 3. What is the remainder when q is divided by a(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xggzguukngnzgzn. What is prob of sequence nzx?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 17930727631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 942899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -4.939831 rounded to 3 decimal places?\nAnswer: -4.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 65 = 2*i - 94, 4*c = 20. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the second derivative of 2*g**3\/3 + 20*g**2 - 6*g. Let i be f(-9). Let t be (-31)\/(-2) + (-2)\/(-4). Calculate the highest common factor of i and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/117)\/((-6)\/(-36)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 4*p**2 - 1. Suppose -y + i + 1 = 0, -1 = -2*y - 4*i + 25. Suppose -y*w = -4 - 6. What is the units digit of n(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vfvvfhfgffcgvdh. Give prob of picking 1 d and 2 h.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -124.2 - -124.2. Which is the second smallest value? (a) -5 (b) w (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14856 is divided by 7419.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1108*s - 2859*s - 4626*s + (-s + s - 2*s)*(-2 + 1 + 0) - 3*s + 0*s + 5*s + 2*s + 5 - 5)*(-4 + 1 + 0) to the form d*s + f and give d.\nAnswer: 19113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(1\/35)\/(k*k*k**(-1)) assuming k is positive.\nAnswer: k**(-34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o - 46 - 24. Let h = 1 - 0.6. Let r = 259 - 261. Which is the second biggest value? (a) h (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -4*i - 6. Let z = -25 + 27. Suppose 0 = -d - z*d + 3. Solve -3*h + d = -i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 29 - 4. Let c be (b\/(-2))\/(5\/10). Suppose 37 = -4*z + c*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*b**4 + 13*b - 6*b**4 + 3*b**4 wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -13*b + 8. Let n be v(-8). Find the common denominator of 1\/(-2) + (8 - 0) and 2\/(n\/(-194))*-2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 250777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t + 18. Let y be m(-5). Suppose -5*s + y + 22 = 0. Suppose 148 = s*f - 3*f. What is f rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 132310233003 (base 4) in base 2?\nAnswer: 11110110100101111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - ((-4 - -8) + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00089719 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:24 AM and 4:58 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the second derivative of -v**2 - 6*v**2 + 7*v**2 + 11*v + v**2. Let y(d) = -2*d - 10. What is 10*l(q) + 2*y(q)?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(378)\/sqrt(6).\nAnswer: 4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 - 5*t**2 + t + 2. Let r be z(5). Suppose x + 0 = r. Calculate the least common multiple of x and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-1)\/2)\/((-5)\/50). Suppose 2*v = -f - 25. Calculate the smallest common multiple of (-9)\/v - 185\/(-25) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3\/4732 and -2\/362243.\nAnswer: 244876268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {c: 1, u: 2, m: 1, r: 1, x: 2, t: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b + 4*b - 2*b)*(2 - 4 + 0) + 2*b - 3*b + 0*b - b - b + 0*b + 282 - 56*b - 282 - b - 4 + 4.\nAnswer: -64*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 644*f + 12 = 647*f, -17 = -2*v + f. Let m(j) = j + 18. Calculate the remainder when m(0) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 22*s**3 - 2*s - 2. Let v be c(-4). Does 11 divide v\/(-16) + 18\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 2\/293, 38352, -4\/7?\nAnswer: 2\/293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in -243422\/7, -1\/10, 1.46?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -3*i - 2. Let v(z) = 0 + 1 - 31*z + 32*z. Give 2*v(q) + w(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 430917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the second derivative of f**3\/3 + 31*f**2\/2 + 4*f + 363. What is o(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1080298853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -128285892 or -128285891?\nAnswer: -128285891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000001 (base 2) to base 8.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u + u + 2*u**2 - 3*u**2)*(4 - 4 + u**2).\nAnswer: -u**4 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(243) - sqrt(243))*5)**2 + sqrt(243) + -1 + 2*sqrt(243) + (3 + 3*sqrt(243))*-3.\nAnswer: -54*sqrt(3) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -5 times -18\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1425*h + 476*h - 2416*h.\nAnswer: -3365*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -3*v**2 + 10*v - 3. Let w(s) = s**2 + s + 1. Let m(h) = t(h) + 4*w(h). Let g be m(-14). Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 4*v - 1 + 3 + 3. Suppose -3*m + 3 = 18. Let f(i) = i + 2. Let c be f(m). Let p(h) = 9*h + 11. Give c*p(s) + 7*k(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1527 is divided by 508.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3779 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*i - 394*r + 393*r - 15, i + 2*r + 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*p**6 - 11174*p**5 + 8*p**2 + 131.\nAnswer: -240*p**3 - 670440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -529859*z**6 + 640456*z**2.\nAnswer: -63583080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 360120145 to the nearest integer?\nAnswer: 18977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*f + 77 - 149 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 345 - 345. Which is the closest to 1? (a) -0.1 (b) -0.56 (c) 3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 148819920 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a + 1. Let q(r) = -2*r - 1. Let m(l) = 2*q(l) + 3*u(l). Let y be m(6). List the prime factors of (-1)\/((-1)\/(-3)) + 133 + y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(4 + sqrt(133)\/(-4*sqrt(7)) + sqrt(19) + (sqrt(2736) + 0)**2).\nAnswer: -8220 - 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1095)\/(-12) - (-2)\/(-8). Let t = -18 + s. Let n = t - 13. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 4*i**3 - 49*i**2 + 18*i - 91. Calculate p(10).\nAnswer: -811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 3*r + 2 = 0, 6*l = 2*l - 4*r + 8. Let t(a) = 4*a**2 + 4*a**2 - 4*a**l. Let f(p) be the first derivative of -p**2 + 1. Calculate t(f(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (1 + 1 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4*1*(930 - 125)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1083 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 3*y + 13. Suppose -233 = -9*b - 71. Calculate the remainder when 5\/2*y*80\/(-25) is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) 2\/9 (b) -2\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2946939*i**2 - 6858547*i?\nAnswer: -5893878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 9097.227ml?\nAnswer: 9.097227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/1140876 and -151\/1021680.\nAnswer: 68452560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 5*i + 2*g - 117, 0 = -3*i - 4*g + 357. Let d be (-8)\/(288\/i) - -4. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0621843 rounded to 3 dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 858219 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 68796 and 556101?\nAnswer: 6673212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11 + -7. Solve -y*n + n + 8 = 5*m, -24 = -3*m + 3*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*l + 145 = -12*l. Let s = -7 + l. Let y = 60 - s. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 699, 821, 935, 1041, 1139, 1229, 1311?\n\"Answer: -4*y**2 + 134*y + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 9 minutes before 3:20 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {u: 1, e: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 25772 or 25773?\nAnswer: 25772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 2\/65 (b) 5 (c) -1\/46 (d) -2\/5 (e) -4 (f) 1 (g) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 6315855841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-10)\/15 + (-80)\/(-3). What is the second derivative of 8*u - 38*u**5 - v*u - 25*u wrt u?\nAnswer: -760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 184 = n - 57, 4*n = -4*w + 164. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (59 - 6*v - 59)*(-2*v**4 + 5*v**4 - 2*v**4).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Total of 171.19 and 8845.9.\nAnswer: 9017.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -35 - (38 + -86 + 38)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 21 - -9. Suppose -t + 2340 = -6*t. Let o be t\/(-45) - 4\/10. Calculate the highest common divisor of p and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 33\/25 and 19\/9820.\nAnswer: 49100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*g + 2098 = -2091 + 4198 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**3 - 7*y**2 + 8*y - 13. Let s(a) = -2*a**2 + 50*a + 100. Let q be s(-2). Give k(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0.321, 0, 116.52 in descending order.\nAnswer: 116.52, 0.321, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2504229.\nAnswer: 3, 7, 13, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 + 10*u**2 - 11*u + 8. Let k be i(-11). Let o be (4\/(k\/(-2)) + -1)\/(-1). What are the prime factors of o + (-32)\/18 + 532\/36?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -a**5*l + 16781*a**5 - 7*a*l + a - 95226*l wrt a?\nAnswer: -20*a**3*l + 335620*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes after 8:24 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 1860 = -2*n + 1570, y - 713 = 5*n. Let u = y - -3312. Round u to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 14\/3 - (-2)\/(-3). Let x(p) be the third derivative of 3*p**6\/40 - p**4\/24 + 318*p**2. Let m(o) = 8*o**3 - o. Determine c*x(j) - 5*m(j).\nAnswer: -4*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 7*d**2 - 13*d - 29. Let m be l(-2). Calculate the highest common factor of m and 18950.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 84 a factor of 76524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 3*z**3 - 4*z**2 + 4*z + 4. Let n(m) = 45*m**3 - 5*m + 2*m - 1 - 46*m**3 + m**2 + 2*m. Suppose -5*l = -15 - 5. Give l*n(x) + r(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*14\/(196\/42)*5\/3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-4)\/(h\/h**(-1\/5))*h*h\/(h\/(h\/(h*h**2*h*h)*h)*h)*h*h**(1\/2) assuming h is positive.\nAnswer: h**(-67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 2*t**2\/17 + 1630*t\/17 + 1628\/17 = 0.\nAnswer: -814, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**3 + 25*j**2 + 1199*j - 25977. Calculate q(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 86.094918ms in hours?\nAnswer: 0.000023915255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -647079 greater than or equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c**2 - 418494*c + 836980 = 0 for c.\nAnswer: 2, 209245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 6209, 13075, 19933, 26783?\n\"Answer: -4*h**2 + 6878*h - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -228*q + 119. Calculate the remainder when c(-5) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*w**3 + 0*w**3 + w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1443800702.8842886 + -1443800562. Let v = p - 160.88428862. Let g = v - -20. What is g rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (2*6)\/(36\/(-24))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:27 AM and 5:56 PM?\nAnswer: 569","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(272)*2)**2 - sqrt(272) - (sqrt(17)*-2 + 5).\nAnswer: -2*sqrt(17) + 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -1905*b**4 - 601360*b**3 + 197195*b**2 + 402910*b + 3160 = 0.\nAnswer: -316, -2\/3, -1\/127, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 104 = 5*k. Let p = -17 + k. Suppose 17 = 4*y - p. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32560 divided by 855?\nAnswer: 6512\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-31 - -49)*(-18)\/44 + 7. Is 15 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 898524527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9\/4 + 2. Suppose 4*f - 26*k + 27*k - 5 = 0, 0 = 5*f + 2*k - 10. What is the smallest value in f, g, -1\/22, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8270*d + 8372*d - 408. Suppose -64 - 33*k**2 + 80*k + 5*k**3 - 1\/4*k**d = 0. What is k?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*p**3 + 3*p**3 + 6*p**3 - 2*p**3 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*j**2*o*z**2 - 20926*j**2*o + 24647*j*o*z**2 + 128*j*o - 2*o*z**2 + 2*o*z - o wrt z.\nAnswer: -6*j**2*o + 49294*j*o - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 15 + 2983*q**2 + 2990*q**2 - 5974*q**2. Let c(d) = -13*d. What is c(x(l))?\nAnswer: 13*l**2 - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 16000 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -167, -557, -1163, -1937, -2831, -3797, -4787, -5753?\n\"Answer: 8*j**3 - 156*j**2 + 22*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/11, 1, 3\/19, -5, 27 in increasing order.\nAnswer: -5, -2\/11, 3\/19, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-110)\/(-44) - 5*1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 2*g - 22. Let t be x(12). Suppose -5*v + 1270 = 5*l, 3*l + t*v + 212 = 974. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (11 + -9)*(-1731)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -15*j**3 + 2 + 19*j**3 + 8*j**3 - 7*j**3 - 17*j**2 as a + x*j**2 + y*j + s*j**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 116*m - 10146 = -112*m + 61*m - 11*m for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1482890 and 110510?\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3409 + 3409. Solve 10*b - 101 + 121 = z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*i + p + 36 = 35*i - 6*i, 4*i + 5*p = -4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j = 5*j. Let m(k) = k**3 + k + 3. Let t be m(j). Suppose -t*x + 938 = -x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1442)\/(-1030)*-20*1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 14 and 330253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8.05 + -8. What is the third biggest value in -3\/4, f, 4\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(304) + -2 + (sqrt(19) - (sqrt(19) + (sqrt(133)\/sqrt(7))**2 + 5)).\nAnswer: -26 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 36 = -4*s, 0*r - 4*r - 6 = -2*s. Let c(l) = -l**3 - 2*l**2 - l - 1. Let b be c(-2). Let x = r + b. Put x, 4, -4 in ascending order.\nAnswer: -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -88 + -1120?\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -199355.7 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 772275 and 0.04?\nAnswer: 30891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/7, 321.15, -11\/12 in ascending order.\nAnswer: -11\/12, -1\/7, 321.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -74 = 4*z - 74 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llle when four letters picked without replacement from {l: 7, e: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -16*o - 251. Let k(r) = -2. Let p(d) = -a(d) + 6*k(d). What is the hundreds digit of p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) 799 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 298980, 597977, 896974, 1195971?\n\"Answer: 298997*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1 + 1 - 8) + 0. What is the common denominator of 5\/10*236\/6 and (-2)\/t - (-24)\/(-64)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the second derivative of -n**7\/63 - n**6\/45 + n**5\/15 + 9*n. Determine p, given that i(p) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10645 + -2788. Let o = v + -15425. Is ((-1)\/7)\/1 + o\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1202151.\nAnswer: 3, 43, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 2*d**2 - 9*d + 9. Let p(c) = c**2 - 4*c + 4. Let f(y) = 5*p(y) - 2*v(y). Let h be f(3). Solve 0*o - m = o - 5, 0 = -3*o + h*m - 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 4*b**5\/3 + 8*b**4 + 13*b**3\/3 - 11*b**2 + 10*b\/3 = 0.\nAnswer: -5, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -564 - -7196. Calculate the remainder when o is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwue when four letters picked without replacement from {w: 6, o: 3, e: 2, u: 1}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -276 + 280. Let d(k) = 196*k**2 + 5*k + 7. Is d(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 24 and 7842.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m. Let v(k) = -k**2 - 8*k - 12. Let n be v(-5). Calculate z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2139518 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 81 = -80. Suppose -n = n - 8. Suppose -15 = -n*z - 3*m, 5*z - 17 = -0*z - 2*m. Solve -z = -q - p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.02 + -0.28. Let f = 54 + -51.3. Let x = f - v. Which is the third smallest value? (a) x (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3209.480714 - -4.\nAnswer: 3213.480714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1201184*x**3 - 1201198*x**3 + 4804777*x**3 - 1201192*x**3 - 1201196*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 9496?\nAnswer: 28488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**2 - 3*j - 1. Let t be z(-4). Let d = -3 - t. Calculate the smallest common multiple of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t + 5 - 1 - 5. Let f(k) be the second derivative of k**4\/6 + k**3\/6 - k**2\/2 + 3*k. What is f(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(50) + -1*sqrt(800) + sqrt(50))\/(sqrt(110)\/(sqrt(11)*-2 - sqrt(11)) + sqrt(10)).\nAnswer: -3*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 6324222*c = 6324153*c + 5106 for c.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2189731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**3 - 11422252*s**2 + 22844498*s - 11422248.\nAnswer: 2*(s - 5711124)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 13*o - 63. Let l be g(6). Let m be 0 + 20 + (-4)\/((-16)\/(-12)). Solve m*k - 22*k - l = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -112 - -114. Which is the closest to 0? (a) 0.4 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 - 23. Calculate the remainder when y\/35 - (-77)\/5 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uubbllzruuzuwzl. What is prob of picking 2 u and 1 b?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -2*u**2 + u**2 + 2 + 2*u**2 - 2*u**2 - u. Let h be o(0). Solve -2*l + 8 = -h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53864941.\nAnswer: 13, 977, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2975020 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ix when two letters picked without replacement from {x: 3, i: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*h + 468 = 107*h. Solve -h*m - 3*x - 10 = 0, -6 = -3*m + 4*x - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = 4*q, 98 = 2*f - 5*q. Suppose 5*k + 3*y = -31, -1055*k - 57 = -1052*k + 5*y. What is the smallest common multiple of f and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 - -40. Suppose 6*l - r = -16*l. What is the third biggest value in -5, l, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2776, -2771, -2764, -2755?\n\"Answer: d**2 + 2*d - 2779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 95*q - 106*q - 5711 = -192*q + 1167 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9383*p**4*s**2 + 4852*p**4*s + 34*p**2*s**2 + 28*p**2*s + 114*p**2 + 3*p*s**2 + 3*p*s - 4 wrt p.\nAnswer: 225192*p*s**2 + 116448*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -16\/11 + 90\/77. Let a = 106 + -108. Let s be a\/(-6) + 4 + 404\/(-96). Is u smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/((1*-3)\/((-36)\/(-48)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is b in -4*b**2\/7 + 4208*b\/7 - 1106704\/7 = 0?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0.08416+11.6536\nAnswer: 11.73776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-108)*104)\/((-2712)\/(-2034))?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*o - 2*o + 0*o)*(1 - 6 + 3 + (-4 + 4 - 3)*(0 - 2 + 1) - 4 + 6 - 24).\nAnswer: 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1053, -1078, -1123, -1194, -1297, -1438?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - 1\/(-3*(-4)\/15).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -84531 + 760783\/9. Let z be 2 + (-1)\/((-3)\/(-5)). What is the nearest to 1 in 4\/5, n, z, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2515212 (base 6) to base 12.\nAnswer: 65b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from gmggvtyggyyyygytyvgy.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 449824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5610 and 8?\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5 - (-110)\/28)\/((-78)\/(-91)). Let z(q) = q**2 + 3*q - 5. Let m be z(-5). Which is the smallest value? (a) m (b) 74 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/81 and 61\/4887.\nAnswer: 14661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 952*a - 955*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/8 - (-3)\/12. What is the derivative of -3*x + 5*x + 16 + w*x + 0 wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the second derivative of f**3\/3 + 3*f**2 - 14*f. Give a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -i**3 + 12689 - 7*i + 0*i**3 - 12664 + 3*i**2 + 6*i as o + u*i**3 + h*i**2 + f*i and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 18361049327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/(-24) - 1\/(-18). Let v(a) = 5*a + 14. Let h be v(-3). What is the closest to h in -4, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the third derivative of 5\/6*p**3 + 0*p + p**2 + 7\/24*p**4 - 1\/60*p**5 + 0. What is the smallest common multiple of 4 and c(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4.8, -2\/11, 3\/8, 2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 458 + -378.2. Let o = m + -79.6. Sort o, 5, -0.9 in decreasing order.\nAnswer: 5, o, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6690 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -4*n + 5*n. Suppose n*s = 132 + 8. Let t be (-3)\/(-1)*(-4)\/24*-10. Solve 5*b + 27 = o, -t*b - s = o - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4188393922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (w**3 + 2*w**3 - 2*w**3)*(3 + w - 3) + (6*w - 5*w - 4 + 4*w)*(108*w**2 - 108*w**2 + 2*w**3).\nAnswer: 11*w**4 - 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 114 + -133.9. Which is greater: y or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3788.811 rounded to the nearest integer?\nAnswer: 3789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 15*g + 0 - 1 + 23 - 4 - 5 as y*g + w and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 14852*f - 31957 - 28632 - 12935 = 15966*f for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -31, -27, 11, 83, 189, 329, 503?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(((-27)\/3)\/18). What is the second derivative of 264*x + 93*x**2 - 86*x**p + 6*x**3 - 4*x**3 wrt x?\nAnswer: 12*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -x**2 + 81287*x**3 + 285257*x**3 + x**2.\nAnswer: 366544*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide ((-6561)\/(-6))\/(4*4\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2533499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*p - 4*p + 40. Suppose 0*a = -2*a + 4*c - p, a + c = 10. Suppose -3*h = -3*q + 35 + 37, -q + 28 = -a*h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -12, 3, 34, 87, 168?\n\"Answer: q**3 + 2*q**2 + 2*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1000) - (sqrt(1000) + (sqrt(1000) - sqrt(1000)*2 - sqrt(1000)) + sqrt(1000) + sqrt(1000)) - sqrt(1000))\/sqrt(5) - (sqrt(72)\/sqrt(4)*5)\/sqrt(9).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -48.2 + 31. Let h = o - -10.2. Sort -0.2, -2\/3, h in decreasing order.\nAnswer: -0.2, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -220270527156.6559996 - -220217670982.656. Let q = -52856165 - o. Let i = -9 + q. What is i rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 + 2*s**2 + s - 2. Let a be i(-2). Let y be (-178)\/a - (-1)\/(-2). Suppose 220 = 21*w - 19*w. What is the greatest common factor of w and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-38)\/8 + 1\/((-6)\/(-24)). What is the biggest value in r, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10925.8 times -0.05?\nAnswer: -546.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -130\/17 - -1238\/153. Factor -2\/9*n**3 - 2\/3*n**4 + 0 - z*n**5 + 0*n + 0*n**2.\nAnswer: -2*n**3*(n + 1)*(2*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17294 (base 12) in base 14?\nAnswer: c17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -94026 = y - 5*y - 2*u, -2*y - 4*u + 47028 = 0. Let f = 41823 - y. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 + 4. Suppose -87 - 8 = -5*t + 5*a, 5*a = -t + 25. Suppose 6*x + t = 10*x. What is the remainder when y is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -137 = 16*k - 25 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -34173145*n**2 - 615761461*n.\nAnswer: -68346290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 + 210 = 8*g. Suppose 5*l - f = 4, -2*f + f = -1. Sort g, -3, l in decreasing order.\nAnswer: g, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 106*g - 64. Let k = -307 + 320. What is the units digit of l(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 159 = -6*g, 3*u - 7*u + 2*g + 130 = 0. Calculate the highest common divisor of u and 10967.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -27*l + 10. Let d be h(-5). Suppose 20 - d = -5*k. Suppose -2*j = -4*r + 75 - 29, -k = 5*j. Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2201022 - -10?\nAnswer: 2201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*w**2 - 2*w**2 + 0*w**2)*(-7*w**2 + 3*w**2 - 2*w**2) + (-21 - 37*w**2 + 21)*(-w**2 + 5*w**2 - 5*w**2).\nAnswer: 91*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -0*l + 3*l. Let h = 5 - l. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -3*p**2 - 3*p + 2. Let u be h(1). What is the nearest to u in 4, 1\/2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 12 = 2. Let v = 8.8 - 9. Let c be 1\/3*8\/4. Sort i, c, v in descending order.\nAnswer: c, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.9049 + 0.0249. Let w = -363.12 + s. Which is smaller: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27436 (base 11) in base 13?\nAnswer: 14a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 61043 is divided by 20345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -23, 5373 in decreasing order.\nAnswer: 5373, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - ((2 - -11) + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (t**3 - 3*t**3 + 3*t**3)*(624 + 36*t - 624) in the form r*t**3 + k + h*t + u*t**4 + l*t**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((4424\/40)\/(-7))\/(188\/(-10)) and 85\/18?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -66*o + 2959. Determine z(45).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (57\/(-15) + 5 + -1)\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -444 + 132?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11791347 is divided by 1058.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6, 36, 88, 162, 258, 376, 516?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 150 is divided by 102.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 15 = 4*v. Let w be v\/195 - (-2 + 2). Let t = 87\/715 - w. Which is the nearest to 1? (a) -4 (b) t (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -214*h + 220. Let u be a(1). Solve -35 + 5 = -u*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 601.\nAnswer: -2\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1080 + -1077 - (3 - (-1 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8698*m**2 - 14859*m?\nAnswer: 17396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -96 + 112. Suppose 9 = t*b - 13*b. Suppose -4*o = -5*s + b, -4*s - 4 + 1 = -5*o. Solve 2*v - v - 4*x + s = 0, 2*v - 4*x = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 11\/2? (a) -20735 (b) -6 (c) -0.2 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -190 - -164. Let k be (-25)\/100 + g\/(-8). Solve 5*l + 6 = 2*l + k*s, s = -3*l + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.593764 litres to millilitres.\nAnswer: 593.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -80*q**2 + 7*q + 7. Calculate x(-1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 61 = 7*j. Solve -3*r + 5*z = -10, -2*r + 5*z + j = -0*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -4*c**2 + 4 + 2*c**2 + 3*c**2. Let f(a) = 1. What is -d(m) + 4*f(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -4 + (10 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 7574.251nm in micrometers?\nAnswer: 7.574251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 2*g + 6 = 0, 61*y - g + 7 = 57*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 5*h**3 + 15*h**2 - 5*h**3 - 2 - h**4 - 10*h**2 in the form s*h**3 + a + r*h + y*h**2 + f*h**4 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 + 0.19989.\nAnswer: 3.19989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be 32\/4 + (-3)\/(24\/(-16)). Solve 2*d + 8 = r - 4*r, -a = -5*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 144091, 288138, 432201, 576286, 720399, 864546, 1008733, 1152966?\nAnswer: 1297251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11720 + -164173\/14. Calculate the common denominator of t and (159\/(-9))\/(24\/9).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/(y*y*y**(2\/11)\/y*y)*y**(-7)*y**4*y\/y**(-6)*(y**(2\/7))**(4\/7)\/(y**(-2\/3)*y**(-7)) assuming y is positive.\nAnswer: y**(17218\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1\/7, 0.05, -4, -1\/15, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o + o**2 + o)*(309*o - 639*o - 381*o - 1359*o - 273*o).\nAnswer: -2343*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 104\/5 - 21. Let k = -82 + -46. Let g = 127.6 + k. Which is the second biggest value? (a) g (b) l (c) -3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/12 - 6\/8. Let w be (-4 + f)*8\/10. Round w to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-6)\/18)\/(8\/3). Let p be 3\/4 - (-1)\/4. Let a be (-126)\/(-24) + p\/(-4). What is the closest to -1 in c, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1613045067 - -3.3.\nAnswer: 1613045070.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -51*n**3 + 2*n**2 - 9*n + 11. Let s(j) = 26*j**3 - j**2 + 5*j - 6. Let v(p) = 6*k(p) + 11*s(p). Let r be v(-1). Solve 3*t = 7*t - r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2628aa3 (base 12) to base 13\nAnswer: -17348a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, -7, -43, -4 in decreasing order.\nAnswer: -4, -7, -13, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve k - 93 + 96 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -0.4, -1\/165, -3 in ascending order.\nAnswer: -3, -0.4, -1\/165, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**3 - 4*x**2 + 5*x - 4. Let v be l(3). Suppose -v*m = -5*h - 175, -2*h + 122 + 264 = 4*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -3*u + 342, 5*m = u + 3 - 107. Suppose 0 = -2*t + 5*i + u, -4*i + 110 = 2*t - 0*i. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1827839 + 53470047.\nAnswer: 55297886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 27120 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -37896.2 * -40.\nAnswer: 1515848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -47675520 divided by -353152?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 49\/234 and 181\/1170?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2*i**3 - 6*i**2 + 8*i - 8. Suppose -3*c + 2*s = -14, 3*c - 18 = -c + 2*s. List the prime factors of y(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 + 5. Suppose 5*c + 39 = a, -5*c - 159 + 56 = -2*a. Let l = a + 16. Calculate the greatest common divisor of s and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(396) - (-1 + sqrt(396))) + 4 - (1*sqrt(396) + -4)) + 2.\nAnswer: -6*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 33*r**2 - 521*r. Let j(f) = 20*f**2 - 313*f. Calculate 8*g(k) - 13*j(k).\nAnswer: 4*k**2 - 99*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -39 - -41. Let t(h) = -h**2 - 7*h - 3. Let s be t(-6). Let w = r + s. Calculate the least common multiple of w and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 PM and 3:54 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4233940 divided by 1058485.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -2204 (base 11) in base 5?\nAnswer: -43113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-5))**41\/((n*n\/n**(1\/3))\/n)**(-18\/11) assuming n is positive.\nAnswer: n**(-2243\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7 - -4. What is the smallest value in u, 9, 0.05?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kvkrvkrvmykrkr. What is prob of picking 1 m and 2 v?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 576 is divided by 61?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -13.37 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b - 4*b - o - 1950362 = 0, 5*b = 3*o + 2437949. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 131789849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -2232\/716245 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**3 - 2*o**2 - 4. Let s be (-2 - -6)\/(16\/12). Determine b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes before 4:04 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-111)\/333)\/((-1)\/(-18)). Suppose -2*h + 2*b = 2 + 4, h - 4*b + 6 = 0. Does 7 divide (h*z\/(-24))\/(1\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1209, -1198, -1187, -1176?\n\"Answer: 11*u - 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the third derivative of -i**5\/270 - i**4\/108 + 2*i**3\/27 - 4*i**2. What is g in b(g) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.9048 - 29.302974?\nAnswer: -30.207774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {d: 6, s: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 + -20.5. Let i = 72 + -505\/7. What is the third biggest value in q, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rq when two letters picked without replacement from {d: 10, q: 2, r: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 64624 and 3808.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -6*o + 22. Suppose -4*v = -4*q - 48, -66 = -o*v - 0*v - 2*q. Solve 2*m - c - 3 = 0, m + v = 2*m + 4*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-14)\/(-3*(-3)\/(-18))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -757 = -391*f + 2392 + 370 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4352 + 3?\nAnswer: -434a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -2*y**2 + 1487752*y + 1487754 = 0. What is y?\nAnswer: -1, 743877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (84\/210)\/(-1 + 58\/60).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5 or 2\/63?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 19\/5 (b) 35 (c) -101\/5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -8 + 9 + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 - 6)*(-5*j - 8*j - 2*j + 5*j + j - 4*j + (-3 - 2*j + 3)*(2 - 1 + 0) + 2 - 2 - 2*j).\nAnswer: 153*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 66199 - 33028. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/370 and 7\/1230.\nAnswer: 45510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 12\/3 - (-2)\/(-2). Let o(a) = -2 + 2*a**2 + 0 + 2 - 2*a**y + 3*a. What is the remainder when o(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 4*o**2. Let h(b) = -291*b**2. Give h(v(k)).\nAnswer: -4656*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 - 7 - 4*q)*(-4 + 2 + 4)*(2 - 3 + 3) + 2 - 3*q - 2.\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**2. Let r(d) be the first derivative of d**2\/2 + 736*d - 2881. Give r(w(i)).\nAnswer: i**2 + 736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -1020100 (base 4) to base 15.\nAnswer: -1584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u*(u**(-2\/3)\/u*u*u*u)\/u*u)**(2\/27)\/((u\/(u*u\/u**0))\/((u*u\/(u\/u**(-3\/16)))\/u)))**(1\/31))**(4\/9) assuming u is positive.\nAnswer: u**(1277\/90396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 9*a = 40. Let z(q) = -12*q**3 + 3*q**2 - 3. Let t be z(-1). Calculate the greatest common factor of a and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19 is divided by 28\/(-21)*1*33\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -100*l**3 + 788*l**2 - 1104*l - 144 = 0.\nAnswer: -3\/25, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 + 4*t**2 + 5*t - 20. Let p be z(4). Suppose p = 23*m - 28*m + 5. Solve -4*n + 3*j + 13 = 0, -3*n - n - j = -m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.57427 nanometers in kilometers?\nAnswer: 0.00000000000257427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/4)\/((-2)\/(-72)). Let b = c - 3. Suppose 13*w + b = 14*w. Solve -v - 2*v + w = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1370090581.\nAnswer: 1370090581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 449*w - 422*w = 162 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/16 (b) 22 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - v = -135, 7*l = 3*l - 3*v + 97. Suppose -2 + 3 = -a, 0 = -4*z + 2*a + 26. What is the remainder when l is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 486675655?\nAnswer: 5, 401, 242731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 107 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-14)\/(-3))\/(6\/18). What are the prime factors of (0 - a*-1) + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -851708 smaller than -851669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -9 (b) 4\/7 (c) 2 (d) -1315 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2119895521136.000084 - -2119888433396. Let q = 7087754 + w. Let r = q + -14. Round r to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0*1\/2)\/2. Suppose -4*o + 40 = -r. Suppose 0 = -4*p - p + o. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 5, h: 2, i: 4}. Give prob of picking 1 h and 1 x.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (1 - 10) + 6 + 1 - -12\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by 164\nAnswer: 5\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + i = -2. Let y(r) = 3*r - 1. Let m be y(i). Let w = 1.2 + -0.2. Which is the biggest value? (a) m (b) -2\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 2 p when four letters picked without replacement from {f: 5, p: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s**3 + 3*s**2 - 6*s**2 - s + 2 - 2*s**3. Let h be v(-3). Suppose 0 = -4*f + 27 + h. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -20314 (base 7) to base 12\nAnswer: -2a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the first derivative of 0*c**2 - 9 - 2*c + c**2 + 7. Let m(z) = z**2 - z - 1. Let d be m(-2). Give w(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-31*z + 119*z + 215*z)*(0 + 0 + z**2) + 2*z - 2*z + 2*z**3)*(0 + 0 + 3*z**2).\nAnswer: 915*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes before 11:29 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3657361 = -32*v + 11068221 - 1054766. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 5\/42 of a week?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (m**3 - 2*m**3 + 3*m**3)*(46 - 46 + 11*m) - 2*m - m**4 - 2*m**4 + m**4 in the form d*m**4 + v*m**3 + g*m + r + t*m**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/8 and -137\/948990.\nAnswer: 3795960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 1040*u**2 - 490*u**3 + 589*u + 125*u**5 - 900*u**4 + 1210*u**3 - 349*u = 0.\nAnswer: -2\/5, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 458.3, 0, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*j**2 - j**3 - 8*j**3 + 8*j**3.\nAnswer: -j**3 - 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -25675627*s**2*w**3*x + 7*s**2*w**2*x + 273*s**2*w**2 + 7*s**2*w + 2*s*w**2 - 7*s*w*x - x wrt w?\nAnswer: -154053762*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00346569 to four dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 6 + 0 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -35*g*u**2 - g*u + g + 557*u**2 - 36536 wrt u?\nAnswer: -70*g*u - g + 1114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -16 (b) -1.2 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 110 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 13*b**2 + 737*b - 7. What are the prime factors of o(14)?\nAnswer: 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 767932.056 rounded to the nearest 100?\nAnswer: 767900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*i - 3*i + 4*i)*(-2 - 26 - 19) as k + v*i and give v.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 739*x - 8137. What is y(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -86162 divided by -134.\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kxyz when four letters picked without replacement from {y: 2, k: 6, s: 1, x: 2, z: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 296 - 285. What is the third derivative of -13 + 7 - 44*y**3 + 4*y**4 + 58*y**3 + 182 - k + 2*y**2 wrt y?\nAnswer: 96*y + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 76 in 1641, -2, -0.1, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 27 (base 9) to base 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14393 - 8888 = -31*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 588664 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: Expand 14 + 0 - 23*j**2 + 21*j**2 + (-2*j + j - j)*(3*j - 2*j - 3*j) + (-50 + 5*j + 50)*(3 - 3 + j).\nAnswer: 7*j**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -4682, -4154, -2734, 22, 4558?\n\"Answer: 74*v**3 + 2*v**2 + 4*v - 4762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2942 + 3323 + 3367 = 688*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -2*p**3 - 5*p**2 - 5*p - 21. What is i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - (21 - 20))*(1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 1647630 = d, -4*d + 2059521 = h + 4*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 250, 480, 698, 898, 1074, 1220?\nAnswer: 1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -865, -1703, -2553, -3421, -4313, -5235, -6193?\n\"Answer: -r**3 - 831*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 53095 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -4*o, -144*o - 20 = -4*x - 141*o. Calculate the highest common divisor of x and 722.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-3)\/6)\/((-4)\/(-8)))\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.506513 rounded to two dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(204)\/(-2*sqrt(12)) + sqrt(136)\/(sqrt(16)\/sqrt(2)) - (1*sqrt(51)\/sqrt(3) - (1 + sqrt(1088)))))**2 + 4.\nAnswer: 540*sqrt(17) + 34465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -661 - 40*z**3 + 661 + (56 - 56 - 16*z**2)*(0*z + z - 2*z).\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -6532687 * 33\nAnswer: -215578671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**3 + 9*j**2 + 11*j + 6. Suppose -19 = -5*g + 1. What is the least common multiple of c(10) and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.08 * 38014\nAnswer: -3041.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 288512 + 38?\nAnswer: 288551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:57 AM and 8:11 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1723275857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 283875 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 2*a**2. Let l = -35076 + 35079. Let x(r) be the second derivative of 1\/2*r**l + 0 - 33*r + 7\/2*r**2. What is d(x(y))?\nAnswer: 18*y**2 + 84*y + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 9 = -i + 2*h, -i = 2*h + 3. Suppose -i*d - 5 = -15. What is the third derivative of 31*k**d - 67*k**2 + 27*k**2 - 10*k**4 wrt k?\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 92\/5 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 64250.9 - 64251.4544177. Let k = -19.5543627 - q. Let i = -19 - k. What is i rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 1 = 0, -5*a - 44 = -4*z + 697. Suppose -13*w + 461 = 123. Suppose -w*p = -30*p + z. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.4? (a) -3\/11 (b) 4 (c) -0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 5269699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 2*v**5\/3 - 20*v**4\/3 + 50*v**3\/3 = 0. What is v?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxzwwxpx. What is prob of picking 1 z and 3 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 59797142 to the power of 1\/2, to the nearest integer?\nAnswer: 7733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -115*w + 2 - 60*w + 46*w.\nAnswer: -129*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:58 PM and 9:45 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiiiiviiv. What is prob of sequence ivv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -398, -429, -460?\n\"Answer: -31*n - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6577030699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:55 AM and 11:07 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes before 10:58 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*g + 4*g**4 - 2*g**4 + 0*g**4 + (1540 - 702*g - 1540)*(0*g**2 - 2*g**2 - g**2)*(2*g + 2 - 2).\nAnswer: 4214*g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.697715293 rounded to two decimal places?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.16815 and 21.1?\nAnswer: -3.547965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.467 + 100.3.\nAnswer: 96.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -108 or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-1 + sqrt(405) + 2 + sqrt(405) - -1*-1*sqrt(405))**2.\nAnswer: 18*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 6, -1\/3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jj when two letters picked without replacement from jojojojojpjjo?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b + 3 - 3)*(-1 + 1 - 14)*(31*b**3 + 32*b**3 - 13*b**3 + 54*b**3).\nAnswer: 2912*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*t**3 + 28 + 12*t**3 - 19*t**3 to y*t + m*t**2 + r + s*t**3 and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 288 = 4*j, -10*j + 8*j + 149 = 3*q. Solve 42 = j*d - 53*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51193753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -347742 or -5911609\/17?\nAnswer: -5911609\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(3\/11)\/((r*r**(1\/4))\/r*r) assuming r is positive.\nAnswer: r**(-43\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15, -31, -49, -69, -91?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 2*s**2 + 32*s + 72. Calculate u(-18).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -22 + 9. Let h = k - -7. Let l = h - -1. Which is the nearest to 2? (a) 3 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 divided by -46.\nAnswer: -11\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 35488 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -68 - -38. Let x = 15 - c. What is the remainder when x is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 + 14 - (1 - 0). Let t = 9 - 13. Let y = 25.38 - 28.38. Which is the second smallest value? (a) p (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 4*j**2 - 10*j**2 + 10*j**2 + 4*j**2 - 19*j**2. Let q(d) = d. Determine l(q(o)).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be 141 + ((-10)\/1)\/5. Suppose 0*z - z + 75 = -5*d, 2*z = -d + b. Let j = -66 + z. Solve j*u - 3*l + 2 = -4, -11 = u + 4*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2*7\/(-140) + (-2)\/4. Suppose 24 = -2*y - 2*y + j, -2*y + 5*j - 30 = 0. Which is the biggest value? (a) y (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 4*t + 2*d - 0, 4*t - 2*d - 18 = 0. Let g be (-1 - (t - 7)) + 0. Solve -10 = -2*h + 2*s, -5*s = -g*h - 10*s - 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -4286*c + 30541. Give x(7).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the first derivative of -l**2\/2 - 4*l + 5. Let r be b(-4). Suppose f = a - 6*a, r = -4*f - a. Solve f*o - 4 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the second derivative of -v**5\/90 + 11*v**4\/18 - 62*v**3\/27 - 2*v + 811. Determine o so that d(o) = 0.\nAnswer: 0, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 69*q**2 + 2*q - 3. List the prime factors of a(1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17 + -13. Let m be 24\/(-20) + j\/(-5). Let k be (-52)\/13*m\/4. Solve -5*g = -k*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cfcccalcfkfcgllcgcc. What is prob of picking 1 a and 2 g?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8181032, -16362064, -24543084, -32724086, -40905064, -49086012, -57266924?\nAnswer: -65447794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Let o be (-2572)\/(-20) + (-2)\/(-5). Suppose 2*z - 255 = 3*y - 0*y, -3*y = -z + o. What is the greatest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*g - 12 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(-15) + 42\/10. Let y be (-40)\/16 + 2\/a. Sort y, -5, -4 in increasing order.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6091?\nAnswer: 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -276*a + 4*j + 1360, 7*a - j + 5*j + j = 12*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 23*u - 440 = 0. Suppose u*k = 374 + 386. Calculate the least common multiple of 10 and k.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -20000221201011 (base 3) to base 2.\nAnswer: -1100001111000011011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1964?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -28614276*w**4 + 271404*w**2 + 27 wrt w.\nAnswer: -686742624*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-374)\/(-7480))\/(1\/5))\/((-1)\/(168\/45))?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b*b*b*(b*b**(2\/7))\/b*b*b)\/b**(-4\/7))\/(((((b*b\/b**11)\/b)\/b)\/b)\/(b*b**(-2\/3)*b)))**(2\/11) assuming b is positive.\nAnswer: b**(848\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8 + -7.92. Let l be -5 + 1 - (0 - (-2 - -3)). Let i be 8\/6*2\/12. What is the second smallest value in l, n, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -1, -21.\nAnswer: -21, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 121.5 + -122. Let s be (-4)\/((-5)\/(5\/14)). Which is the second biggest value? (a) -3\/2 (b) 4 (c) s (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -112*x**3 + 16*x**3 + 80*x**3 + 5*x**3 + 10*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1876162 is divided by 22603?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p\/(p**8*p))*p\/p**1)**(-32)\/(p*p*p**(-7)*p*p*(p*(p**(-3)\/p*p)\/p)\/p*((p**(-2\/5)*p)\/p)**19) assuming p is positive.\nAnswer: p**(-1367\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 12 = 6*h. Solve 0 = 2*j - h - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10 - -16. Let u be (-3)\/(n\/(-4)) + -1. Solve o = 4*d - 7, -2*d = -3*o - 0 - u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -2*u**3 - 21*u**2 - 14*u - 22. Let o be d(-10). Solve 0 = -o*v + 6*v + 48 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -311767\/1244 and -251 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 137999?\nAnswer: 137999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 277*j - 3. What are the prime factors of b(1)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**2 - 8*u + 5. Let g be x(-8). Suppose -5*i + 15 = 5*l, -g*l + 2*i = 5*i - 23. Let y be 0 + 4 + (-6)\/(-3). Are y and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + (-4 + 2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**3 - 10*d**2 + d + 1. Suppose -2*w = -4*w - 22. Let b be i(w). Suppose -2*x + j = -35, -4*x - 4*j + b - 11 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -7028.93 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3825618 to the nearest integer?\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**2 + 4*u + 1. Let p be o(-2). Let q be 8*(27\/(-6))\/p. What is the highest common factor of q and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*k = 182 - 198. Solve k*r + 6 = -s, 4*r + 9 = -3*s + r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100 (base 2) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p**2 - 2*p**4 - 2*p**2)*(-2 + 3 + 1)*(-1 - 8 + 1)*(4 - 4 + 1).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 439 and 0.3.\nAnswer: 131.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -5 + 67*k - 19 + 997*k**2 - 995*k**2. Calculate i(-34).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26970 and 957.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2044023 - 2?\nAnswer: -2044030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 82913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = -3*c + 3*z + 12, -2*z = 3*c - 2. Let i be (-1)\/c + (-6)\/(-28). What is the third biggest value in i, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(90)\/sqrt(3))\/sqrt(10) + (sqrt(243) - sqrt(243)*-1)**2 + 5.\nAnswer: sqrt(3) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 174.396 - 369.396. Let u be 1 - (6\/4 + 0). What is the third biggest value in -1, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.13 and 44?\nAnswer: -49.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.017419 to 4 dps.\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -2*f + 4. Let x(z) = 4*z - 9. Let w(d) = -5*k(d) - 2*x(d). Let g be w(2). Is ((-9)\/(-6))\/(g\/16) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**3 + 5*l**2 + 7*l - 4. Let q be i(5). Let n = q - 11. Let f be 6\/10 + 48\/n. Solve -2*r = -f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8 - -17. Suppose j - b = 3. Let x = j + 10. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(171) + (sqrt(266)\/sqrt(7))\/sqrt(2))**2 - (0 + sqrt(931) - (sqrt(684) + -4))**2)*3.\nAnswer: -24*sqrt(19) + 6792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3505*m**3 + 591 + 3519*m**3 + 1913*m - 1913*m.\nAnswer: 14*m**3 + 591","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 1 = 5*j, -140*j + 9 = -139*j - 3*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) 286 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - 5) + 3 + 0 + -2 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 134661744.\nAnswer: 2, 3, 7, 44531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*z - 37 + 71 + 43.\nAnswer: 2*z + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 1, d: 2, b: 7, n: 10}. Give prob of picking 2 b, 1 c, and 1 d.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1241957 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 62 - 45. What is the highest common divisor of 119 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 438474.\nAnswer: 2, 3, 73079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -5*z**3 + 2*z**2 + 106*z + 104. Determine n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/13, 4, 44\/3, -40300?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17099 - 25964 - 48963 - p**3.\nAnswer: -p**3 - 57828","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {x: 4, z: 1, y: 2, w: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the third derivative of 0 + 7\/24*l**4 + 0*l + 0*l**3 + 1\/720*l**6 + 1\/30*l**5 - 3*l**2. Let y(c) be the second derivative of a(c). Determine y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 2*s**2 - 15*s - 149. Let j be f(13). Let q(b) = -9*b**2. Let a(n) = 4*n**2. Suppose u + u = -26. Let r(m) = j*q(m) + u*a(m). Factor r(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**3 - 3*k**2 + 5*k - 26. Let o be h(-5). Let n(s) = 26*s**3 + 2*s + 1. Give n(o).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 151415290?\nAnswer: 2, 5, 13, 149, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -418, -1066, -1940, -3040, -4366, -5918?\nAnswer: -7696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 14851 - 8857. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1534 is divided by 56.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 253*p - 12101. What is j(43)?\nAnswer: -1222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = -12 - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes after 9:11 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, l: 2, b: 2, o: 6}. What is prob of picking 2 l and 1 b?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 428? (a) -5 (b) 1 (c) -8066 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -7, -14 in descending order.\nAnswer: 2, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccca when four letters picked without replacement from accaaacaaacaaaaaacc?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -442, -929, -1756, -2929, -4454, -6337, -8584, -11201?\n\"Answer: -s**3 - 164*s**2 + 12*s - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (35\/20)\/(6\/(-39)*(-1027)\/9480).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 466, 1900, 4312, 7696, 12046, 17356?\nAnswer: 23620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(4\/9)*l)\/(l*l**(1\/29))*l**(-9)\/((l\/(l**(-25)\/l))\/l) assuming l is positive.\nAnswer: l**(-9028\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 10 = 2. Suppose -2*f - 2 - 9 = 5*y, 2 = 4*f + z*y. Let s = 12973 - 12966. Solve -f*b + s = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, r: 3}. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -18 divided by 271\nAnswer: -18\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 19 and -19?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 4*l**2 - 14*l**2 + 8*l**2 - 6*l + l**3 + 3*l**4 as b*l**2 + m*l**4 + a*l**3 + f + v*l and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 = 4*d - 5*g, 2*g = 2*d - 256 + 266 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d - 21 = b, 821*b - 21 = -3*d + 814*b for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -7*a**2 + 2*a. Let q be u(2). Let v = -218.94786 + 0.04786. Let k = v + 219. What is the biggest value in q, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 391 = 5*b + 91. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 + 21*p**2 - 28*p - 80. Let d be q(-22). Calculate the highest common divisor of 3081 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53639?\nAnswer: 53639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 2*y**2. Let a(t) = -t + 9. Let m be a(9). Let x(f) = 3*f**2 - 4*f**2 + m*f**2. What is x(d(u))?\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-2 + 6 - 3)*(4 + 0 + 17) + 3 + 1 - 2 + (5 - 3 + 10)*(-3 + 5 - 1))*(-7*q - q - 10*q) to the form t*q + b and give t.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 3, 18, 59, 138, 267, 458?\n\"Answer: 2*w**3 + w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -24*f*l**2*t**2 + 144*f - 3*l**2*t**2 + l**2*t + 9*l**2 - 4*l*t - 283*t**2 - t wrt t.\nAnswer: -48*f*l**2 - 6*l**2 - 566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 + -a99?\nAnswer: -a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 461711 or 1?\nAnswer: 461711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 0 = 4*k - 57, -k = 0. Calculate the remainder when 86 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 131550 (base 6) in base 9?\nAnswer: 17523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1160, -2426, -3694, -4964?\nAnswer: -6236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4155688*x**3 - 3*x + 14014145 wrt x.\nAnswer: -12467064*x**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of -4 - 7\/2*y**2 + y**3 - 6*y + 3\/4*y**4 - 1\/5*y**5. What is k in o(k) = 0?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 2*o**2 + 3*o. Let t be u(3). What is the tens digit of ((-4)\/6 - 2601\/t)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(8) + -5 - 3*sqrt(20)\/sqrt(10).\nAnswer: -5 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m - 7. Let b(g) = g**2 + 9*g + 9. Let k be b(-7). Let j be c(k). What is the units digit of 22\/5 - j\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the first derivative of -h**4\/4 + 2*h**3\/3 + h**2\/2 - 2*h - 2. Let c(k) = 0. Calculate k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 15*k**3 - 7*k**2 - 19*k - 41. What is y(-5)?\nAnswer: -1996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the third derivative of -y**5\/180 - y**4\/18 + 94*y**2. Solve h(c) = 0 for c.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -453 + 1496. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1140 - 11344?\nAnswer: -13034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 2*y = 70, l - 4 = -0*l + 4*y. Calculate the remainder when 22 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 963 is divided by 595.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 12013223023 (base 4) to base 11.\nAnswer: 9a6374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (138\/4)\/(12\/8). Suppose -x*m = -25*m + 18. Solve 0 = -4*y + 3*z + 17, -3*y + 3*z = 2*z - m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 192*b - 2097. Let h be s(11). Solve h*q = 11*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 97 a factor of (-4)\/8*(-279942)\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1 + 0)*4 + 7002. Let s = -132896\/19 + w. What is k in -2\/19*k - s*k**2 + 32\/19*k**3 + 32\/19*k**4 + 4\/19 = 0?\nAnswer: -2, -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 12, b: 2, w: 4, j: 1}. What is prob of sequence bbbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 14879731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 24*d - 20*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**3 - 7*u**2 - 9*u - 51. Let h be r(-7). What is the tens digit of 24\/144 - (-4138)\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 565.9589nm in kilometers?\nAnswer: 0.0000000005659589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + -24?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1898.286 micrometers in meters?\nAnswer: 0.001898286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00984743 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes after 8:10 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6\/(-4)*14\/21. Let h be ((-157)\/68)\/(g + 8). Let z = h - -3\/68. Which is the third smallest value? (a) z (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.34 - -1.332. Let s = o + 2.008. What is the nearest to 1 in -1\/2, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 316730194 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*k - 2*i - 76, -12*k + 30*k = 5*i - 206 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand i**3 - i**3 - 3*i**3 + 11*i**3 + 97 - 97 - 2 + 2 - 2*i**3 + (2*i - 2*i - i)*(0*i**2 - 4*i**2 + 3*i**2).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s - p = 6*s - 6, -9*s - 12*s + 5*p + 267 = -21*p for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -8 - 2*b**2 - 185*b**3 + b + 77*b**3 + 7*b**4 - 3*b + 90*b**3 - 2*b**4 as d*b + s*b**3 + m + r*b**2 + t*b**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**3 - 7*q**2 - 7*q - 2. Let s be l(-6). Let a(z) = -z**3 - 4*z**2 + 3*z - 7. Let g be a(-5). Let h be 1*(-3)\/g + 5. Solve s*t = -h - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.063 (b) -4 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/477 and -25\/3753.\nAnswer: 198909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 4*s = -6, -w - 5*s - 11 + 18 = 0. Let g(a) = 10*a. Let j be g(2). Suppose w*c = -10 + j. Solve -c*k + 8 = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -675, -692, -727, -786, -875?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnjnnnnn. What is prob of sequence jn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the second derivative of s**4\/6 - 23*s**3\/2 - 58*s**2 + 3*s - 35. What is the remainder when k(38) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1730384 divided by -1303\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Differentiate 14574285*y**3 - 18621693 wrt y.\nAnswer: 43722855*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 35\/21*2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3\/(-12)*100\/(-5). Let a = m + -3. Suppose 4*j - 28 = -4*q, -a*j = -3*j - 4*q + 22. Solve 0*s = -j*p + 2*s + 4, 2*p + 5*s + 10 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 467\/6 - 78. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1959807525 + 370.\nAnswer: -1959807155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 7 + -1 - (-10 - (-9 - 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 131 divided by -1\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**3 + 299*z**2 - 22051*z + 1154. Calculate h(167).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -617 - -621. Which is the nearest to -1? (a) -0.5 (b) 7\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -6284.96, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -0.2 (b) -0.038 (c) -112.9 (d) -0.12 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 276960434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4.3 (b) -0.4 (c) -0.7 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((-2)\/(-3)*24\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 562733 is divided by 477?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 74923173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.3 + 0.6. Let n = 170 - 169. Which is the smallest value? (a) -1\/6 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (5 + (sqrt(1152) + 2*sqrt(1152) + sqrt(1152))**2)*-3 + (2 + (sqrt(64) - -1*sqrt(64))\/sqrt(2))*-5.\nAnswer: -55318 - 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1 (b) 2\/7 (c) -96 (d) 4 (e) -4.2194\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c - 3. Suppose -4*f = f - 15. Let u be z(f). Let g(o) = o**2 + 7*o + 7. What is the units digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 21*m + 8*t + 91 + 143, 4*m + t - 10 + 14 = -t - 42 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 0 + 2 = 0. Calculate the remainder when 24 is divided by u + -3 + 5 + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/66 and 89\/7150.\nAnswer: 21450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 0*q**3 - 4 + 7*q**2 - q**3 + 2*q**2 - 6*q. Let g be u(8). Let b be (-4)\/g*3*-2. Solve 3*z - b*z = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5247\/617 or 8?\nAnswer: 5247\/617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = 17*j + 1. Let h be (2\/3)\/((-2)\/j) + 33. Suppose 656 = -30*i + h*i. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148587 is divided by 54.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -27, -63, -147, -297, -531, -867, -1323, -1917?\nAnswer: -2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2*(-2)\/(28\/(-35)))\/((221\/39)\/(-17)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the second derivative of 3*u**3\/2 - 2*u**2 + 1621*u. What is i(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 - 3. Let i be t(0). Let o = 10 + i. Let c(p) = -p + 7. Determine c(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + z + 2)*(-1 + 0 + 2 + (2 - 3 + 0)*(2 + 3 - 6))*(3 - 1 + 0).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 AM and 6:29 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 718, 1439, 2160, 2881, 3602, 4323?\nAnswer: 5044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -583*w**5 + 4*w**4 - 5*w**3 - 322*w**2 + 3*w + 10 wrt w?\nAnswer: -34980*w**2 + 96*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 9215341439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 - -1.4. Let h = b - -0.6. Let x = -1.99998 - h. Round x to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.27 + 0.08. Let w = 1.65 + q. What is the nearest to w in 0.1, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lxlxxxllxx. What is prob of picking 2 x and 2 l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of g**6\/120 - g**5\/12 - 5*g**4\/24 - g**3\/6 + 6*g**2 - 12*g. Let b(l) be the first derivative of j(l). What is b(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -41645\/3482 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2\/33 - -3\/11. Suppose 5*u + 5*m + 25 = 0, m + 4*m + 25 = -2*u. Suppose -5 = v - u. What is the closest to h in v, 3\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**2 - t - 4. Let s = -41 - -58. Let b(g) = 3*g**2 - 3*g - 11. Calculate s*n(m) - 6*b(m).\nAnswer: -m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of ((-4473)\/(-12))\/7 + 6\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -14, -169, -444, -845, -1378, -2049?\n\"Answer: -h**3 - 54*h**2 + 14*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3022 + -3022.4. Which is the nearest to 7? (a) -2 (b) w (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 668009 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -3 (b) -1.5 (c) -2 (d) 4\/5 (e) -829 (f) 1 (g) -62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes before 10:27 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6.4143 + 6.073. Round b to two dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes after 12:47 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 5*s**2 + 696031870*s + 24223018202784845 = 0.\nAnswer: -69603187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/18 and -35\/5676?\nAnswer: 17028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 83670905273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -2245*m + 8994. Give y(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:21 PM and 6:32 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5.181 + 0.181. Sort 3\/2, -6\/13, -2, b in decreasing order.\nAnswer: 3\/2, -6\/13, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the first derivative of -32\/5*p**5 - 2\/3*p**6 + 0*p - 8*p**3 - 58 - 13*p**4 + 0*p**2. Solve k(x) = 0 for x.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = r - 2. What is the first derivative of -3 + 4 - r*h + 0*h + 1 wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000012506 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + r = 2*r - 11, r - 14 = 5*b. Suppose -15 = -5*o + 10, 25 = 3*g + 2*o. Let j = 7 - 4. Sort j, b, g.\nAnswer: b, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4695 (b) -0.5 (c) -11 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 101036.\nAnswer: 2, 13, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -85*o - 45*o + 17228 + 15102 - 38700 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2210741391?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add 0.13044 and -53.2732.\nAnswer: -53.14276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -391679 + 275689. Suppose 9303940 = -4*t + 5*b, 4*t + b = -3*b - 9303976. Let x = t - r. What is x rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -58247, -233221, -524935, -933389, -1458583, -2100517, -2859191?\n\"Answer: -58370*d**2 + 136*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:29 AM and 1:28 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 4*n = 2*d + 35, -d + 50 = -5*n. Is (-214)\/(-6) - (-6)\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 3, u: 7}. What is prob of sequence ukku?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -49123601 - 4?\nAnswer: -49123605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -153 - -151. Which is the closest to 0? (a) 5 (b) 2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 81\/6352 and -47\/6352.\nAnswer: 6352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -3*n**3 - 7*n**2 + 58*n + 286. Let w(a) = a**3 + 3*a**2 - 20*a - 96. Let z(c) = -12*t(c) - 35*w(c). Determine z(21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2*-4*18\/(-48) - 33\/(-11). What is the third biggest value in 812, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*o - 8*o + 3*o)*(17*o**2 - o + o) + 7*o**3 + 29*o - 29*o in the form d*o + r*o**3 + a + k*o**2 and give r.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-6)\/15)\/((-1)\/(-5)). Let h = -1 - d. Do 1 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 407004 is divided by 406950.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-31)\/(1550\/80)*(-2)\/40.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1907073 + -244.7\nAnswer: 1906828.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*t = 15*t - 0*t. Sort -8, -42, t.\nAnswer: -42, -8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 55 = 5*x, z - 37 = 2*x - 4*z. Let m(y) = 51*y**2 + y - 1. Calculate the remainder when m(1) is divided by 117\/6*(-4)\/x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/7? (a) -0.4 (b) -2 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 25210\/7 + -3602. Which is the nearest to -85? (a) -4 (b) 0 (c) q (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of -19*q**6\/6 - q**3\/3 - 7. Find the third derivative of l(r) wrt r.\nAnswer: -1140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-13 - -18) + 5 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -9\/4, 478, -6\/7, -8?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1264844 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be 24\/(-60) - (-34)\/10. Suppose 12 = 3*h, 4*h = -0*f - n*f + 22. Find k such that -10*k**2 - 4*k - 5*k**f + 15*k**2 - 2*k**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jqn when three letters picked without replacement from {j: 11, q: 4, n: 4}.\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 578 - 13?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes before 9:46 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 11627.7966 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -2520.78821 rounded to one decimal place?\nAnswer: -2520.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (22 + -47 - -29) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2. Let s(a) = 675*a**2 + 378. Let t(f) = 3*f**2 - 2. Let b(h) = s(h) + 189*t(h). Calculate b(q(w)).\nAnswer: 1242*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 10 = 2*k. Calculate the smallest common multiple of k and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 238195145797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-1\/2))**15)**(2\/129) assuming h is positive.\nAnswer: h**(-5\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (1 - (-4 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2669636.\nAnswer: 2, 251, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -280? (a) 2 (b) 16 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 5.667988 nanometers in kilometers?\nAnswer: 0.000000000005667988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the third derivative of -x**5\/60 + x**3\/3 + 11*x**2. Let p be -2 + 0 + 2 + -4. Suppose k + 10 = 2*k. Let n(f) = -3*f**2 + 5. Give k*l(w) + p*n(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -11452979 to the nearest 100000.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 7, x: 7, f: 2}. Give prob of picking 1 f and 1 x.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that 2*h**2 + 734*h + 732 = 0.\nAnswer: -366, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -269982877\/526520790 + 2\/1120257. Let w = 10\/47 + y. Let h = -0.6 - -1. What is the third biggest value in 1, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7469.0000006002 - 7469. What is z rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48411127?\nAnswer: 491, 98597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5511, -11064, -16625, -22200, -27795, -33416?\nAnswer: -39069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that 4*d**3 - 4*d**2 - 368*d + 720 = 0.\nAnswer: -10, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(1*sqrt(1539))**2 + -6*(1 + sqrt(1539)) + (2*sqrt(1539) + 3 + 4 + sqrt(1539) + sqrt(1539) + 1 + 3)**2.\nAnswer: 738*sqrt(19) + 30895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9448877 is divided by 1316.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((l\/(l*l**(1\/4)))\/l)\/l)\/l*l)\/l*l)**(3\/20) assuming l is positive.\nAnswer: l**(-27\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2.58 - -393.42. Let c = b + -395.8. Let v = 0.4 + -0.5. Put v, c, 1\/10 in decreasing order.\nAnswer: c, 1\/10, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.42 - 13.58. Let q be 9\/(-24)*(-54)\/(-81). Let m = -31 + 26. What is the second smallest value in r, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(1\/9)\/q*q**(2\/7)*q*q**(-5)*q*q**6*q assuming q is positive.\nAnswer: q**(214\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(1\/15))\/((j*j\/(j*j**8)*j)\/j)*(j**(-1\/12)*j)\/j*j\/j**(2\/5)*j)**(1\/10) assuming j is positive.\nAnswer: j**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -1\/3, -5, -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in 0, 1\/7, -0.02?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1556, 2954, 4354, 5756, 7160, 8566, 9974?\n\"Answer: f**2 + 1395*f + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -717*u + 9*u**3 - 724*u - 1 - 717*u + 2155*u as o*u + j*u**2 + x + z*u**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -222, 0.1, -0.2, -3\/8, -6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 255 - 255. Let z(f) be the third derivative of 0 + 0*f**4 + s*f**3 - 1\/30*f**5 + 0*f - f**2. Suppose z(i) = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -95, -3 in ascending order.\nAnswer: -95, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.23 + 4.23. Sort -0.1, c, -2.\nAnswer: -2, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 7 = -v, -v + 15*z - 10*z - 14 = 0. Which is the third biggest value? (a) v (b) -9 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-99)\/((-132)\/12)*1\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -638 - -637.6. Let w = 7 - -9. Put w, g, 3 in increasing order.\nAnswer: g, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 53.4 - 50.4. Let i = -32 - -31.97. Put -4, g, i, -5 in decreasing order.\nAnswer: g, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/((-15)\/2)*(-2)\/4. What is the fourth biggest value in 2, i, -2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 205026013.\nAnswer: 205026013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**6 - q**5 + q**4. Let a(n) = -130*n**6 - 6*n**5 + 6*n**4 + 162*n**2 - n. Let o(v) = a(v) - 6*y(v). Find the third derivative of o(f) wrt f.\nAnswer: -14880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 3*u**2 - 19*u - 155. Is h(-6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -40702828099 and -0.5?\nAnswer: 40702828098.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 26298 less than 26302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - t - 87 = 0, -4*t + 43 = -p + 2*p. Is -0.1 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*t = 2*l - t - 8, 0 = -l - 5*t + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 10a - -6000?\nAnswer: 610a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1441.43 + 1425.4. What is the closest to 0.1 in -2, -3\/4, b?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9 + 16. Suppose -21*p + j*p = 0. Suppose -3*c + g - 26 = -3*g, p = 2*g - 4. Is c at most -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 1746180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 2*a - 9 = 0, -4*r - a + 9 = -0*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 355\/(-325) + (-133)\/(-95) - 1995\/(-65)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 528266 to the power of 1\/2, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**3 - 10*d**2 + 18*d + 6. Let f be l(8). Let o = f - 22. Suppose o = 3*k - 3, -5*w - 5*k = -0*k - 65. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 0.4, 0.1, 0.23, -5, 22238.\nAnswer: -5, -2, 0.1, 0.23, 0.4, 22238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 19, -3, 0.52?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2472 + (0 + -2)*1 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7532043 millimeters to micrometers.\nAnswer: 753.2043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j = 2*z + 5, z - 4*j - 18393 = -18390 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*g + 0*g - 23*g + 60*g - 22*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 978*g + 2*u = 979*g - 1020, 0 = g - 3*u - 1024. Is 0.2 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(-3)*h*h**5)**(-49) assuming h is positive.\nAnswer: h**(-490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/3, -144, 0.4, 1\/236 in ascending order.\nAnswer: -144, -2\/3, 1\/236, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 8 = 80. Suppose 3*k = 24 + b. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*k**2*u**3*v - 3*k**2*u*v**2 - k*u**3*v**2 - k*u**3 + 7*k wrt k?\nAnswer: -20*u**3*v - 6*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 116248247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = y - 229, 0 = 5*y - 3*s - 529 - 608. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*g - 3*d - 39, -5*g + 8 = -2*d - 33. Let n be (g\/6 + -1)*0. Solve -5*u + 3*m + 22 = 0, -2*m = 5*u - n*m - 27 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand u + 4*u - 6*u + 0*u + 4*u - 2*u + (2 - 3 + 0)*(2*u - 5*u + 2*u) - u - 3*u + 2*u + 4*u - u - u + 4*u - 12*u - 11*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54061148.\nAnswer: 2, 31, 43, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -10 in 61.9, -0.017, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p + 6 + 22. Let j(w) = -w**3 + 6*w**2 + 6*w + 7. Let d be j(p). Solve -3*z - 3 - 6 = d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 26*j - 6. Let i be x(6). What is the greatest common divisor of i and 375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -657\/28 + 95\/4. Which is the closest to 0.1? (a) -1 (b) o (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -1. Let c = -3 + 8. Let u(h) = h**3 + 9*h**2 - 10*h + 8. Let o(g) = c*b(g) + u(g). Let q be o(-10). Solve -q = k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -776886.204 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t**(-2\/11)\/t))**(-7\/4))**(-11)*(t\/((t**(-2\/9)\/t)\/t))**44\/(t**(-2))**(4\/19) assuming t is positive.\nAnswer: t**(31498\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x**2 + 7*x - 6. Let y be r(-7). Let p be (-152)\/(-48) + 1\/y. Let u = p + 8. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -241112 != 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92 = 4*d + 28. Suppose -4*n + 3*c = 6*c + d, 0 = -3*n - 3*c - 12. Let g be (2 + 4)\/(n\/(-6)). Solve -2*o = -g + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 divided by 47410?\nAnswer: -9\/47410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -3*p - 2. Suppose p*d = -12 + 42. Suppose -4*a - d*t + 1074 = -2910, 3*t + 4943 = 5*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 6*l**2 - 5*l + 5. Let x(m) = 9*m**2 - 7*m + 7. Suppose 0 = g - 0*g + 7. Suppose -18 = -5*r + 7. Calculate g*k(i) + r*x(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3921*f**2*o**2 - 25*f**2 + 24*o wrt o?\nAnswer: 7842*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 34652432 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -638 - -637. Is -1\/212 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**3 + 185048*n**2 + 4072174*n - 13881900 = 0. What is n?\nAnswer: -25, 3, 92546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:14 PM and 8:16 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the second derivative of -p**5\/60 + 11*p**3\/3 - 6*p. Let u(j) be the second derivative of m(j). Let g(c) = -18*c**2. Determine u(g(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:54 AM and 6:37 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6208 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*r = 300 + 50. Let b = -45 - r. Suppose x = b*x - 452. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 - (3 + 3 - (1 + 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13 - 12. Let z be ((-6)\/(-12))\/(f\/4). What is the third smallest value in -1, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 161738725?\nAnswer: -4\/161738725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(119)\/sqrt(7)*-2 + 1) + ((sqrt(204) - -2*sqrt(204))*1)\/(sqrt(12) - (sqrt(96)*2)\/sqrt(8)).\nAnswer: -sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 8*z + 14. Suppose -7*l - 16 = -3*d - 3*l, 0 = 2*l - 10. Let m be (40\/d)\/((-12)\/(-18)). Does 9 divide r(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t + 26. Let j be y(22). Suppose k - 145 = -j*g, -3*g = -3*k + 2*k - 100. Let u = g + -25. Calculate the lowest common multiple of 4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oaooaaogaog. What is prob of picking 1 o and 2 g?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/((-33)\/(-3*1))*(-420)\/(-420)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -3\/4 (b) 1\/5 (c) 9 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 252 = -3*b + 258, n + 2 = -3*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 49857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 12:33 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -2*q**2 + 69 - 69. Let k(g) be the second derivative of g**6\/180 + 2*g**3\/3 + 2*g. Let n(p) be the second derivative of k(p). Calculate n(r(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 3*d - d + 3 = 0, -g - 5*d = -18. Suppose -26 = -t + 2*j - g*j, 4*j + 21 = t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*y = 4*y + 8. Let a be 51\/3*(-3 + 4). Suppose 4*j - a = -5*k, -j - y = -5*k - 0. Calculate the least common multiple of 11 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -77 - -79. Solve 5*t + 2*s = 4*t + 2, 3*t + 10 = h*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n and 1 h when four letters picked without replacement from {h: 5, n: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27\/(-81)*1\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 78401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yd when two letters picked without replacement from yppppdydypy?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 41 = 5*m, -27 = 10*m - 13*m - 3*s. Suppose 4*j - 2*i = 32, -2*j = 8*i - 7*i - m. Solve -12*b - 18 = -j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7589 - 4480. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -21 or -1\/14?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjqqqqcqjqjqqjjcq. Give prob of picking 3 j.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -12. Let r(w) = -1720*w + 48. What is -4*d(g) - r(g)?\nAnswer: 1720*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - 3 - ((-14 - -2) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h + 81 - 99 = 0. Which is the biggest value? (a) -1 (b) h (c) -109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = 5*r - 26. Suppose 0 = 4*f - 3*z - 13, -2*f + 5*f + z = r. Calculate the smallest common multiple of 6 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:34 AM and 12:45 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138 = -18*z + 42. Calculate the remainder when 59 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b + 3*b + 0*b)*(4*b**4 + b**2 - b**2 + (-5*b + 2*b**3 + 5*b)*(-4 + b + 4)).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 10 = 8*c, 4*b = 4*c - 28 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -n - 17, -5*l + 4*n + 0 + 5 = 0. Let i = l + 6. What is the tens digit of 10 - (-3 - -5 - i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 2*l**3 - 4*l**2 - 2*l + 2. Let h(w) = -w + 1. Let a(u) = 2*u - 11. Let j(y) = a(y) + 6*h(y). Let x be j(-2). What are the prime factors of k(x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2988847*p - 35 - 39 + 74.\nAnswer: -2988847*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the second derivative of k**3\/2 - 6*k**2 + 3*k. Let j be c(8). Calculate the highest common divisor of 108 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -20, -40, -66, -104, -160, -240, -350?\n\"Answer: -v**3 + 3*v**2 - 22*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -0.2 (c) 2\/9 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -101 + 964. List the prime factors of q.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.5 times 0.3?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-2)\/(-15)*(-6641)\/2748 and 61\/210.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -7954732989584 and 8.\nAnswer: -7954732989576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1151102368 to the power of 1\/2, to the nearest integer?\nAnswer: 33928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 17930399155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**1\/k)**(-1\/3)*((k*k**(-1\/6))\/k)**36 assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/19 in -0.5, 2\/5, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.3? (a) 1 (b) -4 (c) 2\/28707 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be 9\/6*2 - 2 - -2. Let p be (z\/3)\/(1 - 0\/3). Put -4, 35, 3, p in descending order.\nAnswer: 35, 3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28 + -21 - (-1 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7701 + 7799.51. Let c = -93.4 + m. Let x = 0.11 - c. Put 0, x, -0.2 in increasing order.\nAnswer: x, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*k + d + 24, -4*k + 2*d + 23456 = 23424 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1979 - 6283. Calculate the lowest common multiple of 12 and (-4)\/3*d\/136.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -3*h**2 - 2*h**3 + 5*h**3 - h**3 + 2*h. Is 8 a factor of w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 19\/1*-1 - (-11 - -7). What is the closest to 2\/5 in -2\/3, -0.03, c, -2\/13?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 59 + -62. Which is smaller: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the first derivative of 7*a**5\/15 + 11*a**4\/12 - 2*a**3 - 876. Factor n(m).\nAnswer: m**2*(m - 1)*(7*m + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.1, -0.0899, 0.1?\nAnswer: -0.0899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 1)*(21596*r - 21596*r + 121*r**2) - 4 + 4 - r**2.\nAnswer: -243*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-28 + 21)\/((-1)\/3). Let m(p) = p**2 + 9*p - 49. What is the units digit of m(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*t - 0. Let q(l) = 23*l**2 + l + 4. Let n(s) = 47*s**2 + 2*s + 9. Let f(g) = -3*n(g) + 7*q(g). Let k be f(-1). Solve -t*o = o + k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 68401?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 927 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sspppspslspfffpppplp. Give prob of picking 1 f and 2 s.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 37, -3, -3020 in descending order.\nAnswer: 37, -3, -3020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-8 + 5)*(-2 - (-1224)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 22 * 5\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 9*g**2 + 10*g + 5. Let q = -7 - -12. Let j(t) = 91*t**2 + 98*t + 49. Let h(m) = q*j(m) - 49*r(m). Let n(w) = 9*w. Determine n(h(x)).\nAnswer: 126*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -665*658.058\nAnswer: -437608.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7623) + (-4*sqrt(7623) - sqrt(7623)))\/sqrt(9) + (-2*(2 + sqrt(252)))**2 + 5.\nAnswer: 52*sqrt(7) + 1029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 20*m**3 - 8*m**2 - 26*m - 3. Let a(s) = -7*s**3 + 3*s**2 + 9*s + 1. Give 17*a(j) + 6*g(j).\nAnswer: j**3 + 3*j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -b = 33*b - 23*b - 22 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-5)\/(y*y\/(y\/((y*y*y**(-2\/3))\/y)))*y*y**5*y\/(y*y\/(y*y**(-6\/11)))*y*y*y assuming y is positive.\nAnswer: y**(70\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -23532619 + 35532619. What is w rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 39, 58, 75, 90?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 879 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 12750.5512 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 14326715 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -4*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put together -2.21 and 1197.\nAnswer: 1194.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 180 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1152 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 + 4*x**2 - 146*x + 1096. Determine d(7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -171, -1111, -2709, -4965, -7879, -11451, -15681?\n\"Answer: -329*w**2 + 47*w + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 455 - 288. Let i = 415\/844 + -51\/211. Is i > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/139 (b) 76\/15 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -5*(-3*sqrt(99) - sqrt(99))**2.\nAnswer: -7915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 + 5 = -3*o. Let f(n) = n**2 - 5*n + 1 - 9 + 4 - o*n. Suppose 2*m - 42 = -30. Calculate f(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*k - 123304 + 179797 + 171834 = 0. List the prime factors of k.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-124)\/(-154) - (-742)\/2597\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9340*p + 91487 = -7286*p - 19429 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20473?\nAnswer: 59, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, 21, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 e when three letters picked without replacement from bcccebcn?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 64 divided by -8881\nAnswer: -64\/8881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -3118 divided by -5\nAnswer: 3118\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 10011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 241496, 482771, 724046, 965321, 1206596?\n\"Answer: 241275*t + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 14058\nAnswer: -1\/7029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, u: 2, f: 3}. Give prob of picking 1 u and 1 f.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*a - n, 2*a + 5*n = 1 - 2. Suppose -a*o = 3*p - 269, -4*o + 547 = -6*p + 3*p. Suppose 2*b - 10 - o = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**2)**(1\/21))**(5\/7)*(n**(-2\/9)\/n*n\/(n\/(n**6\/n)))**(-2\/73) assuming n is positive.\nAnswer: n**(-1142\/32193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 496 divided by 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-10)*73\/146*-5*-13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -138.4 minus -25.7453?\nAnswer: -112.6547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-11\/4)\/(y\/y**(-4))*y**(-6)\/y*(y\/(y*y*y\/(y\/(y\/(y\/(((y\/(y\/((y**(-3\/10)*y*y)\/y)))\/y*y)\/y)*y))))*y)\/y)**(-2\/123) assuming y is positive.\nAnswer: y**(289\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -w**2 - 31*w**4 - 19*w**4 + 41*w**4 + 6 + (-3 - w + 3)*(w**2 + 0*w**2 + w**2)*(-2*w + 4*w - 4*w) to a + v*w**2 + i*w**4 + g*w + r*w**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/12 and 11\/290786?\nAnswer: 1744716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12200532, -24401020, -36601508, -48801996, -61002484?\nAnswer: -73202972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 3 w when four letters picked without replacement from wllwwblloww?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 135 divide 33615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*d - 39*d - 27*d - 25*d + 65*d - 29*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -159416594, -318833188, -478249782, -637666376, -797082970, -956499564?\n\"Answer: -159416594*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 46428 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2853 - -2853.2. Let v = -10 + 8. Which is the nearest to v? (a) 5\/3 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 696 + -687. Suppose 0 = u*p - 72 + 54. Factor -16\/5 + 2\/5*f**p - 4\/5*f.\nAnswer: 2*(f - 4)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of b**6\/12 + 7*b**3\/6 + 18997*b**2. Let l(i) = -7*i**3 - 5. Suppose 5*s = 4*z - 28, 3*s - 7 = -z + s. Give z*l(f) + 5*d(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 9, z: 5}. What is prob of picking 3 z and 1 y?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k\/(k*(k\/k**(1\/2))\/k*k)))**(-3\/5)*(k*k*k*k**2*k*k)\/((k*(((k\/(k*k\/(((k*k\/((k*k*k*k**9)\/k))\/k)\/k)))\/k)\/k*k)\/k)\/k) assuming k is positive.\nAnswer: k**(207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 0 - 2 + 13*n - 10*n to the form r + g*n and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 151 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s - 3*g + 62, -64 = s - 5*g - 34. Which is smaller: -21 or s?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(300)*-1 + sqrt(300))\/sqrt(10))\/(3*sqrt(726) - sqrt(6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 23, 0, -4, -18, 2 in ascending order.\nAnswer: -18, -4, 0, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 363445659*j**6 + 10191005*j**2 + 3*j + 1 wrt j.\nAnswer: 43613479080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Do -22.5 and 2655.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15 - 8. Let k = 341 - 335. Suppose -k*q + 143 = o*q. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.17690033 rounded to three dps?\nAnswer: 0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1152 and 21603084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the first derivative of -2663*l**5\/5 + 194*l**2 - 1455. Find the second derivative of k(u) wrt u.\nAnswer: -31956*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-9)*-6)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-41)\/(-40) - 68\/170 and (-1)\/3 + (-4137)\/(-504).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 120727 and 8671.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*p - 27*p - 5*f - 330 = -48*p, 0 = -26*p - 4*f + 1566 for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 3*i - 2*o - 2 = 0, 0 = i + 4*o + 11. Let m(f) = 4*f**2 - f**3 + 3*f**2 + 11*f - 3*f**2 - 19 + 3*f**2. Let s be m(8). Solve s*t - i = -16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - (-1 + 7))*(-2)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9*(-1)\/((-6)\/4). Find the third derivative of 0*v**f + 4*v**2 + 0*v**2 + v**6 + 0*v**6 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 8*f**3 - 36*f**2 + 213*f - 406. Let l(v) = 30*v**3 - 144*v**2 + 851*v - 1622. Let c(r) = -22*g(r) + 6*l(r). Factor c(t).\nAnswer: 4*(t - 8)*(t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -372\/11 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 331 a factor of 99631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**3 + 6*o**2 + 9*o - 5. Let k be f(7). Suppose -2*t + k + 1 = 0. Let j = t - 0. Sort j, -4, -1 in descending order.\nAnswer: j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*f**2 - 5*f**2 + f**2)*(3 - 1 - 5) - 2*f**2 + 9*f - 9*f + (2*f + 2 - 2)*(0*f - 4*f + 3*f).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = f + 8. Determine w so that -2*w**2 - 21 - 2*w + f*w**4 + 2*w**3 + 21 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 126 and 24?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 - 0) + (-9)\/(-3). Let r = 5 + a. Calculate the greatest common factor of 90 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2407 is divided by 1166?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 1940 by -14.\nAnswer: -970\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 320*x**3 + 5435*x - 5435*x.\nAnswer: 320*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -2*y**2 + 4*y - 1. Let r be c(-4). Calculate the common denominator of (-4 - r\/9) + -2 and 109\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 89 - 74. Let r be 26482\/15882 + -3 + 20\/g. Let u = -209129\/21176 + r. What is the common denominator of u and -17\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9430*l + 8 = c - 9432*l - 15, -3*l - 77 = -10*c - 0*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18234 is divided by 9111.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m + 19. Let h be f(-3). Suppose 28 = h*z - 15*z. Solve 0 = -z*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -24 + 144. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 18*(-2)\/12*(-4 + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -117599.77 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1*4\/(-2)*(-20)\/((-280)\/(-63))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 610809*g - 44091?\nAnswer: 610809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(2\/3))**(-46)\/(x\/(x**(1\/7)*x)*x**4))\/(x\/x**(-2\/11)*x**2*(x**3*x)\/(x\/(x*x**(-3)))) assuming x is positive.\nAnswer: x**(-8941\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4626.3 - 4627. Which is the nearest to -1\/6? (a) n (b) 1 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1661, -1659, -1657, -1655?\nAnswer: -1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 74681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2\/225 - -2029\/450. Let i = -4 + t. Let y be 11 - (350\/30 + 0). Which is the second biggest value? (a) -0.4 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -10.15 to 1 dp.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 109\nAnswer: 4\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 17*l**2 + 782*l - 6. Calculate d(-46).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = 3*h, 4*v - 3 = -4*h - h. Put 3, -68, v in increasing order.\nAnswer: -68, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -75\/4 and -65\/12577328.\nAnswer: 12577328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -406 - -407. What is the nearest to -0.03 in 2, a, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -80\/4104577 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(2448) - (sqrt(2448) - (sqrt(2448) + 1))) + (sqrt(2448) - (-1 + sqrt(2448))) + 5)**2 + 6*-1*(-3 + sqrt(2448))**2 + 0.\nAnswer: 216*sqrt(17) + 7299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 32245880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 807393537?\nAnswer: 3, 89710393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -306, 1, 0, -5 in descending order.\nAnswer: 1, 0, -5, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-222)\/(0 + 2) + -2. Let r = -25 - v. Let x be (3 - 4)\/(75\/(-1375)*(-5)\/(-3)). Calculate the highest common factor of x and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 22\/5*15\/6. Determine m so that 2*m**2 - 5*m + 20*m - 2*m**3 - b*m = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -102406 divided by 2.\nAnswer: -51203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + p = -12, -p = -5*y - 2*p - 18. Let h = y - -6. Solve 16 = -h*t - t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (7 - (17 - 7) - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of 0*k**2 - 2\/3*k**3 - 5 + 0*k. Let h(j) = -5*j**2. Give q(h(s)).\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.4 and 0.01198.\nAnswer: 0.41198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 - 4 = 5*n - 11. Let u be -1*(-2)\/(-354)*-224. Let h = 4\/59 + u. What is the nearest to n in h, -6\/7, 3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-4)*n**(-2\/21)\/n)**(2\/127) assuming n is positive.\nAnswer: n**(-214\/2667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1, 77, 195, 349, 533, 741?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = 2*n + 46, -4*y = -9*y - 5*n - 55 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -97725 - -0.3\nAnswer: -97724.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*g**2 - 15070*g - 15075*g - 15072*g + 45219*g + 5*g**2.\nAnswer: 10*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**0\/v*v**(6\/11))**(-1\/7) assuming v is positive.\nAnswer: v**(5\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 282*p - 152*p - 152*p.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l = g - 1, -g + 2*l + 6 + 1 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the second derivative of -w**5\/60 + 7*w**3\/6 - 9*w**2\/2 + w. Let j(y) be the first derivative of d(y). Differentiate j(z) wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -905*-12.\nAnswer: 10860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i**3\/7 + 186*i**2\/7 - 8*i\/7 - 744\/7 = 0 for i.\nAnswer: -93, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -6 + 6 + -14 + (7 - -69) + -5\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**3 + b**2 + 759*b + 75. Give p(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a. Let y(m) = -1642*m. Give 60*x(z) - 3*y(z).\nAnswer: 4866*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.0140415 + -0.0139. Round w to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1807302909.\nAnswer: 3, 602434303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 6810 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*o + 4*o + o)*(2 + 1 - 4)*(-3 - 3902*o - 2370*o + 1).\nAnswer: 6272*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4719116um to kilometers.\nAnswer: 0.0000000004719116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 460*t**2 - 13*t + 13. Let d be q(1). What is the highest common factor of 184 and d?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 520 = -13*y. Solve 10 = 9*g - y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 862*i**2 + 29*i - 28. What is the tens digit of h(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the second derivative of l**7\/840 + l**6\/90 - l**5\/30 + l**4\/6 - 3*l**3\/2 - 10*l. Let o(d) be the second derivative of h(d). Determine o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -225? (a) -0.3 (b) 1\/4 (c) -2\/17 (d) 1\/3 (e) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 3*w + 19. Let r(v) = v**2 - 9*v - 57. Let d(s) = 3*h(s) + r(s). Let f(k) = k**2 + 444*k + 3. Determine f(d(j)).\nAnswer: j**4 + 444*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mjk when three letters picked without replacement from {j: 1, k: 6, m: 3, l: 3, i: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 11392.515us to minutes.\nAnswer: 0.00018987525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**3 - 5*f**2 + 5*f - 3. Let m be x(-6). What is the third derivative of n**5 - n**5 + m*n**5 - 3*n**2 wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 + -3. Suppose 2*t + k = -4*w, -t + 2*w + 21 = 2*t. Solve -2*p + 2*v = 4*v + 2, -5*p + 45 = -t*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 6020030, 4 in ascending order.\nAnswer: -4, 4, 6020030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 21 (base 9) to base 8\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 191765 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {f: 3, t: 2, x: 2, c: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) 9 (c) -2142 (d) 3\/16 (e) -4\/5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 524 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -81808721888944 - 5?\nAnswer: -81808721888949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-5)*-1*-23. Let v = -512 + 512. Let m be (-2 - (5 - 11)) + (v - 8). Is i != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 70.9 - 70. Let w = 200 + -201. What is the biggest value in 3, v, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (4 + -3 - 3)\/5. What is the smallest value in 2\/29, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**2 + 431996*d - 863976.\nAnswer: -4*(d - 107997)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the second derivative of -b**5\/20 - 25*b**4\/12 + 13*b**2\/2 + 9*b. What is the remainder when 35 is divided by x(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -78 = -4*l + 182. Let m = l - 39\/2. Let b = -17\/349 - -20267\/7678. What is the common denominator of b and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u**5 - 24*u**4 + 48*u**3 - 40*u**2 + 12*u = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be 110\/(-1406) + 18\/171. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*q + 48*q = 165. Suppose -q = -5*z + 10. What is the tens digit of 5\/1*(2 + 2 + z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 45713, 91231, 136763, 182315, 227893, 273503?\nAnswer: 319151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 21\/425, 5, -0.4, -0.27 in decreasing order.\nAnswer: 5, 21\/425, -0.27, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 162420 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3633*k = 3636*k - 27 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 107981?\nAnswer: 107981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**5\/7 + 36*h**4 - 10320*h**3\/7 + 125732*h**2\/7 + 477042*h\/7.\nAnswer: -2*h*(h - 43)**3*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 182928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 1076410 to the nearest 1000.\nAnswer: 1076000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 75.8 - 79.8. Let w = -71.3 + 71. Which is the closest to 6\/5? (a) w (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 102 + -12. Suppose 30*p - u = 30. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -9*m + 1729. Find the second derivative of m - 32*y**2 - 247 + 30*y wrt y.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -30*t. Let b(p) = -p + 482011. What is u(b(c))?\nAnswer: 30*c - 14460330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the first derivative of -2 + 0*x + 0*x**3 + x**2 + 1\/24*x**4. Let p(b) be the second derivative of y(b). Let k(a) = -a**2. Determine k(p(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 16.6559475 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 4*s**3 - 42*s**2 + 2002*s - 15458. What is w(8)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/((t*(t\/(t*t**5)*t)\/t)\/t*t))\/t*t\/(t*t**0*t*t))**(-39\/4)\/((t*t\/(t\/t**1))**(-36))**40 assuming t is positive.\nAnswer: t**(5721\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0509 minus 0.03?\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 42882 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**3 + 4*v**2 + 2. Let c be 3 - (6\/45 + (-6)\/45). What is l(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.2, 2\/3, -2\/3, 1\/16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 take away -1.3264?\nAnswer: 1.1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -1, -461, 108?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 6 = -30. Let s be (-3)\/x - 2\/(-8). What is s rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-16)*-16*47\/(-940))\/((-63)\/10).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 316221?\nAnswer: 3, 105407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 4*k + 2. Let y be (-6 + 12)\/(9\/6 - 0). Let x(m) = -1. Determine y*x(h) + o(h).\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 16 (base 10) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 189338, 378722, 568136, 757586, 947078, 1136618?\n\"Answer: s**3 + 9*s**2 + 189350*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-84 - (43 - 108)) + 12 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5)\/25 - (-4)\/(-30). Which is the second biggest value? (a) -2 (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -886070.1 - -139800.1. Let g = 746263.00014 + l. Let w = -7 - g. What is w rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the first derivative of 2\/5*i + 1\/10*i**4 - 23 + 2\/5*i**3 + 3\/5*i**2. Factor v(t).\nAnswer: 2*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -42688 - -42691.5987. Let v = r - 3.62. Round v to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (9\/2)\/((-1)\/(-2)). Let d(g) = -31*g - 15. Let i be d(-9). Suppose -5*c = -3*l - i, 5*c = l - 144 + 412. Calculate the highest common factor of c and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -24, 19, 1, 38 in ascending order.\nAnswer: -24, 1, 3, 19, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 28*c + 3 + 28806315*c**2 + 28*c - 28806309*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 + 78?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - c - 2. Suppose -2*h + 0 = -20. What is the lowest common multiple of h and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 122465.948 + -121913. Let a = -549 + q. Round a to one dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) 2.15 (b) -1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 103.508083 and 0.2.\nAnswer: 20.7016166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -20 - -65. Suppose 0 = 5*k - m + 45. Let i be 4\/(-5) + 4\/10. Which is the second biggest value? (a) i (b) 0.4 (c) k (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -22.91 + 23. Let m = f - 7.49. Let h = m - -7. What is the second biggest value in 4, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 28) + (15 - 10) + 50?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 196341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 19437885 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -17*j + 116. What is q(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -77.85 - -37.3. Round w to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}