diff --git "a/data/dm_maths/full_data/1139_11255.jsonl" "b/data/dm_maths/full_data/1139_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1139_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u be 1 + 0 - (-1348)\/14. Let z = 97 - u. Let d be (-3)\/(-2)*2\/6. Put d, z, -4\/3 in ascending order.\nAnswer: -4\/3, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 14*m - 9*m + 12 = 0, -m + 9 = 3*c. Solve 5*r + 18 = c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*2\/(16\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-32))\/(383\/12256).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1503*p - 1523. What is k(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -a - 6*v + 2*v, -4*a + 5*v - 233 = 0. Let l be (-5)\/(-20) + a\/(-8). What are the prime factors of (0 + (-92)\/l)*-2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/403 or -2\/683?\nAnswer: 2\/403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2670 and 12282?\nAnswer: 61410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 7 = 5*x - 2*x, 2*x = -4*m - 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 872883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.05 - -10. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 938\/1876*15\/(-3)*1*196\/5?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2533*y + 2504*y + 469597. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6720 is divided by 118?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*k + 111, -r - 145 = -5*r - k. Let q = 104 + -60. Calculate the least common multiple of q and r.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 2\/15, 2\/3, 1\/2, 0 in descending order.\nAnswer: 5\/6, 2\/3, 1\/2, 2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 333 - 336. Let b be 525\/49 + (m - (-23)\/7). Solve -12*x + 3 = -b*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142742 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1445)\/170*(-73 - (-3 + 0)).\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-18) - (-10)\/6. Suppose 2*n - n - 19 = -y, z*n = 5*y + 73. Calculate the remainder when 597 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-27) + (-8)\/(-6). Let g be 21546\/304 + (0 - (-2)\/16). What is the smallest value in -0.5, g, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 932, 1874, 2818, 3764?\n\"Answer: c**2 + 939*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 404934338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8628323 litres?\nAnswer: 862.8323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 101*a + 2. Determine b(-50).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*j + 26*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -9. Let s = -2 + 1. Which is the nearest to -2\/3? (a) k (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(3\/(-1665)*-3)*1?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1\/6, -11, -1, -15\/8, 8, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(6\/2) + -1. What is the nearest to 6 in 1\/6, m, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-1 - -4) + (-31 - 10)). What is the greatest common factor of 4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 8. Let d = i + -3. Which is the third smallest value? (a) -1 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 7*c**2 - 6*c - 7. Suppose -2*i - 6 - 8 = 0. Let f be z(i). Suppose -f = -2*r + 61. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(-38)\/(-399) - (-258)\/9. Solve -i*x = -24*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220 - -373. Suppose -4*b - 8 = 0, 7*b + 104 = 3*g + 3*b. What is the remainder when z is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 29. Solve -3*q = -2*w + 2 + 5, x = -2*q - 2*w + 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 100*b**4 + 102*b**4 + 70*b**4 + 100*b**3 - 287*b**4 - 4*b**4 + 4*b**4 + b**4 + (-3*b + b + b)*(0*b**2 + 0*b**2 - 2*b**3).\nAnswer: -12*b**4 + 100*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -97 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -75. Suppose -62 + 58 = -y*k. Let i(z) = -2*z**2 - 3*z + 5. Let r(t) = -2*t**2 - 2*t + 4. Give k*i(a) - 3*r(a).\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19*l - 288. Let p be s(-21). Which is the second smallest value? (a) p (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*g**5 - 25*g**2 - 120*g**4 + 424*g**5 - 215*g**3 + 145*g**2 + 220*g = 0. What is g?\nAnswer: -22, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382, -715, -1000, -1237?\nAnswer: -1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -28939a0?\nAnswer: 28939a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2461, 2456, 2451?\nAnswer: 2446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*p + 140 + 219, 440 = 4*f + 3*p. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -143 - 197. Suppose -s = -6*u + 29. Suppose -w + 24 = -4*b - u, 0 = -3*w + 2*b + 79. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 414872\/57?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, 219, 536, 857?\nAnswer: 1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 6*v**3 - v**3 + v**3 + 0*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-176)\/60)\/11)\/(4\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/19 - 314*t**2\/19 - 634*t\/19 - 318\/19 = 0. Calculate t.\nAnswer: -1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2223653?\nAnswer: 73, 83, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 1. Let j(v) = -3*v**2 + 13*v - 12. Let x be j(1). Let o(d) = 10*d + 3. Give x*a(k) + o(k).\nAnswer: -2*k**2 + 10*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 121174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/35 - (-208)\/924)*-63 - 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 39036.\nAnswer: 39033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543540 - 756280 = 4271*f + 11021*f for f.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 730.9562ug?\nAnswer: 0.0007309562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -260 divided by -4\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-36)*3*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453024152*x**2 + 453024157*x**2 - 4*x + 7*x - 2*x.\nAnswer: 5*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f - 10. Determine b(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 2.5, -17 in ascending order.\nAnswer: -17, -3, -1, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -16*c. Let v(i) be the second derivative of -i**3\/2 - 59*i. What is v(k(a))?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*p = 29, -5*c + 3*c + 5*p - 35 = 0. Let k(l) = l**3 + 12*l**2 + 19*l - 10. Let i be k(c). Solve v + 1 + 2 = i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -4*k - 60 + 156, 5*a - 3*k = -92 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**7\/42 + 7*h**3\/6 - 65*h**2. What is the first derivative of a(o) wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*y**3 + 37*y**3 - 19*y**3 + (-2*y - 2 + 2)*(-5*y**2 + 4*y**2 + 0*y**2).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 66 - 101. Let o(v) = -4*v**2 + 22*v - 18. Let x(t) = 3*t**2 - 15*t + 12. Let a(c) = u*o(c) - 7*x(c). What is a(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 - q + 4. Let h(o) be the first derivative of o**4\/4 + o + 4. Let d(k) = g(k) - 3*h(k). Let x be d(-1). Solve -x = l - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*81648228\nAnswer: 32659291.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + j + 1525 = -15*n, -1220 = 4*n - 3*j. Let z be n\/366 - ((-1)\/3 + 0). Is z < -2\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356.408 minutes to milliseconds.\nAnswer: 21384480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2307658 and -119\/52008.\nAnswer: 304610856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a + 2. Let y = 970 - 956. Calculate the smallest common multiple of y and o(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 17.46115258.\nAnswer: 12.46115258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 1. Let t be (-2)\/8 + v\/8. Suppose 2*w = 3*o - o + 16, -2*w - t*o = 0. Solve 5*c - 13 = 4*z, 0 = w*z + 2*c - 5*c + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41569, 43249, 46057, 49999, 55081, 61309?\nAnswer: 68689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:13 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)\/z)\/z)**(1\/12) assuming z is positive.\nAnswer: z**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, 0.2, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 630613 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95.90773 + -0.21773. What is g rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 - 10*b**3 - 549*b**2 + 666*b**2.\nAnswer: -4*b**3 + 117*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -1\/36*g**5 - 1\/72*g**6 + 0 + 0*g - 1\/36*g**3 - 5\/144*g**4 - 1\/2016*g**8 - 1\/252*g**7 - g**2. Factor u(w).\nAnswer: -(w + 1)**5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 335 - 339. Let x be 1*0*a\/8. Is x less than -2\/371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:06 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 2*v**2 - 4*v + 1. Let c(a) = -a**2 + 3*a + 8. Let d be c(7). Let s = d + 24. Suppose -s*p + 3 = -5*p. What is n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4532?\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 2. What is i(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*h + 24, 2*h + 2 = r - 4. Calculate the remainder when ((-110)\/h)\/((-12)\/(-24)) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4 + 0 + sqrt(363))*4)**2.\nAnswer: -1672*sqrt(3) + 6169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20637 + -5?\nAnswer: -20641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16191 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 4 (c) -2\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 2264543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 29, -10 in descending order.\nAnswer: 29, 5, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 1. Let z be o(-4). What are the prime factors of 1 + 18 - (z + -12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (115\/(-4))\/(-5). What is the closest to 0.2 in -6, -2\/7, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (11 - -1 - (22 + -16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/(-8))\/(((-28)\/80)\/7). Suppose 2*i = 13*i - k. Suppose -8 = -4*l + 2*l. Solve -l = i*a - a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 161350.\nAnswer: 8390200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6352681 - 6352612.39639. Let r = x + -68.6. Round r to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*u - 172611 - 34101 = 0. What is the remainder when u is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 14*q + 30. Let i be j(-3). What is the remainder when 132 is divided by (15\/20)\/(-3) + (-831)\/i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 19*j**6\/60 - 29*j**3\/6 - 7*j**2 - 7*j. Find the first derivative of c(t) wrt t.\nAnswer: 114*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -55*((-18)\/5)\/1. Suppose 3*t = 267 + z. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w - 9. Let y(d) = -2*d + 5. Let n(k) = -4*q(k) - 7*y(k). Let z be 98\/126 - (-2)\/9. Let i(t) = t. Calculate z*n(x) + 4*i(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27124?\nAnswer: 2, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 550, 562, 584, 616, 658, 710?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.263 times -223\nAnswer: -58.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 + 3*l - 6 = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = -5*l + 63, 4*f + 16 = 0. Suppose -62 - 253 = 35*c. Let s = l + c. Solve -s*d + d = -10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 3*w**2 + 2*w - 4. Let o = 359 + -357. Determine x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 33*s**3 - 3*s**2 + 15*s - 26. Let v(m) = -15*m**3 + m**2 - 7*m + 12. What is 6*p(u) + 13*v(u)?\nAnswer: 3*u**3 - 5*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 9*j**2 - 4*j + 18. What is q(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55\/2 of a century?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 197111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-10))**(-5)\/((w*w*w\/(w*w*w**7\/w))\/(w*w\/(w*w**(4\/15)*w*w))))**(-20\/3) assuming w is positive.\nAnswer: w**(-3224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-410)\/120)*(14 - -8)\/(-264)\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/(1*sqrt(5) + sqrt(5)))\/(4*sqrt(125) - sqrt(5)) + 4.\nAnswer: sqrt(11)\/38 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z**2 - 2*z - 1. Determine n(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 4044132?\nAnswer: 4044222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 128 + 117 = -3*q - 6*z + 17*z, 2*q = 5*z - 152 for q.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.4678 less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 200\/52 + 2\/13. Calculate the highest common divisor of 6 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**27*u)\/(u*u\/((u**(-14)\/u)\/u))*u**(-6)*u*u\/(u\/(u\/(u**15*u))) assuming u is positive.\nAnswer: u**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/78 and -25\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 205 = -193 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8093 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 = -2, -y = -2*n - 11. Suppose 13*d = 10*d + y. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1022 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 3 + 2*g + 3.\nAnswer: 2*g - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:16 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s + 127. Determine r(-29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -719*b*g*j*l - 5*b*j*l**2 - 2588*b*l**2 - 16*g*l**2 - 2*l**2 wrt g?\nAnswer: -719*b*j*l - 16*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-59*d + 63*d - 97*d).\nAnswer: 186*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8 (b) -68 (c) -1\/2 (d) 0.191\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 28 = -4*s - 0*s, -13 = -2*t + s. Suppose -3*z + 3*y + 11 = y, -13 = -t*z + y. Put -1, z, 5 in decreasing order.\nAnswer: 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + 2 - (0 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*3\/(-12) - -2. Find b, given that -2*b**3 + 3*b + 10*b**2 - p*b - 18 - 7*b = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85902*m**2 + 812*m - 172410761.\nAnswer: 171804*m + 812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*c - 2, 4 = p + 4*c + 14. Let j = 0.5305 - 3.5305. What is the fourth biggest value in p, -1.5, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553858*h**3 - 276939*h**3 - 276930*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Let j = 277 - 3045\/11. Which is the nearest to 2\/5? (a) j (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.17, 37, 4\/5, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 2. Let p(o) = o**3 - 2*o**2 + 4*o - 1. Let z be p(3). Let y = z + -13. What is the least common multiple of y and v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 1. Let f be (2 - 3)\/(1 - 2). Let q be n(f). Let m(d) = 10*d + 2. Let b(j) = -9*j - 2. Let g(v) = -5*b(v) - 4*m(v). What is g(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p**2 - 2. Let g(u) = u**3 + 13*u**2 - 14*u + 8. Let h be g(-14). Suppose h*q + 3 - 11 = 0. Calculate the remainder when 43 is divided by t(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/1 + 3 + -16)\/(-2). Suppose 8 = f*j - 2. Suppose 0 = 5*q + 2*t + 2*t - 337, -3*t - 121 = -j*q. Is 28 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -72. Calculate the remainder when ((195\/6)\/(-13))\/(2*(-15)\/3768) is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57405 and 6497.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 72319.1 (b) 1\/3 (c) -14.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1349, 2693, 4041, 5393, 6749, 8109, 9473?\n\"Answer: 2*r**2 + 1338*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 414360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 3*t**2 + 2*t**2)*(20*t + 10*t + 8*t + (411 - 411 + 19*t)*(2 + 4 - 3)).\nAnswer: -95*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:34 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15939.9948+-3783\nAnswer: -19722.9948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*sqrt(99)*-1)\/(sqrt(144) + sqrt(144) + sqrt(144)*3 + sqrt(144)) + 3)*6.\nAnswer: -sqrt(11)\/4 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3, 0 = -3*j + 2*j - 5*m + 17. Solve 0 = -6*g + 3*g + u - 9, 0 = j*g + 3*u + 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/161 (b) 0.2 (c) 0 (d) -4 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -7.2, 1\/7 in decreasing order.\nAnswer: 1\/7, -3, -5, -7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1640 and 87\/280?\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 126*t**2 - 657*t + 265. Let y be f(131). Solve -y*w = 15, 2*c = 10*w - 8*w + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + 67*v**3 - 2*v + 0 + v**2 + 0 - 69*v**3 in the form r + t*v**3 + p*v**4 + z*v**2 + o*v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5784 greater than or equal to 5786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2764 + -2794. Let w(t) = t**3 + 32*t**2 + 59*t - 24. Give w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Which is the smallest value? (a) 1\/5 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8668862, -17337740, -26006626, -34675520?\nAnswer: -43344422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -6*p - 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.5 - -10.3. Let b = -0.01 + 4.01. Let q(s) = -2*s**2 - 35*s - 100. Let t be q(-6). What is the second smallest value in b, t, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*r - 5568 + 4736 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3))**2 + 5 + ((sqrt(32) - sqrt(2)) + 0)**2 - (0 + sqrt(32))*-6.\nAnswer: 25 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 85*j**2 - 117*j - 231. Determine p(41).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 780\/329?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:39 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - t + 80. Let k = 19 + t. Let i = -6 - -10. Put -4, i, k in ascending order.\nAnswer: -4, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 4*f + 1 + 7, 64599 = -2*o + 5*f + 64595 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 3*j + 2. Let k be a(4). Let s be (-2)\/(-8) + 153\/12. Let n = k - s. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {t: 1, j: 2, c: 1, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7831137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x. Let m(z) = 49113 + 60*z - 62*z - 49091. Determine j(m(v)).\nAnswer: 12*v - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -0*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/11 + 2906000*o\/11 + 1055604500000\/11 = 0. What is o?\nAnswer: -726500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**5\/20 - q**4\/4 + 20*q. What is r(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/26827850 and 73\/5365570.\nAnswer: 26827850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 44894 times -10609\nAnswer: -476280446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -181\/1109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47 and 45.\nAnswer: -2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -68, -4, 2 in descending order.\nAnswer: 2, 1, -4, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5*c**(-1\/5))**(2\/51))**12 assuming c is positive.\nAnswer: c**(192\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*g - 28 = 4, -15 = 3*g. Suppose -2*p - 36 = -y*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -13*w**2 - 295*w + 644. Calculate k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1010601 or 1010568?\nAnswer: 1010568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 25212868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 o when three letters picked without replacement from {b: 1, p: 3, o: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 14\/1331577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -7*w**2 + 0 + 1\/20*w**5 + 0*w**4 + 0*w - 4\/3*w**3. Differentiate c(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-179607)\/2679 - -79 - (-5)\/(10\/(-24))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 9*i**2 + 4*i + 2. Let o be p(8). Let j be (-6)\/o + (-289)\/(-5). Suppose 4*r - 5*y - 127 = j, -112 = -2*r - 4*y. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r + 805 = 0. Suppose 2*g + 2*o - 548 = 0, 2*o = g - 0*o - 259. Let d = r + g. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -29, -30, -31, -32, -33?\n\"Answer: -o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 2. Let s = 7\/4 + -41\/28. Determine d, given that s*d**y + 2\/7*d**3 - 2\/7*d - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7926*k - 269 + 269 + 2304*k - 3248*k to the form v + d*k and give d.\nAnswer: 6982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*d + 778*d - 389*d + 59.\nAnswer: -d + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/21*(-4)\/(-8)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o - 4. Let m be i(0). Let a be (614\/m)\/(23\/(-46)). Suppose 10*h = 1727 - a. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k - y = -15, -20 = -k + 2*y. Calculate the highest common factor of k and 640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*-2 + -4)**2*-5 + 0 - ((sqrt(19) - (1*sqrt(228) + sqrt(228) - sqrt(228))\/sqrt(12)) + 0 - (5 + sqrt(19) + -1*sqrt(19) + 5)).\nAnswer: -6150 - 320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*h - 86, -4*d + 192 = 2*h + h. What is the greatest common divisor of 34 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203555 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 416 and 13832?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 14 - -6) + 3 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 + 61 = 43*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 12*g**2 + 19*g + 8. Calculate z(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 3*i - 2. Suppose 0 = -5*z - 2*h + 456, 2*z - 3*h = -2*z + 351. Suppose 88*m - z*m = -6. Calculate l(m).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504170 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.742 rounded to one dp?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 3:20 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5099 + -32?\nAnswer: 5067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/5 - 128134*o + 222710952\/5 = 0 for o.\nAnswer: 348, 319987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3370000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12886544 and 3196?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*j - 26 = -400*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 4290848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (50\/12)\/1*120\/450\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29393589 is divided by 1497?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/30*10*13*6*15\/(-120)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/10 - 8\/5. Are -1 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 - 386.96?\nAnswer: -382.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftmm when four letters picked without replacement from {f: 1, t: 1, e: 1, p: 6, m: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqshhhhhyhhy. Give prob of picking 2 h and 1 y.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/9)\/(2\/9). Suppose -6*l = -t*l - 96. Calculate the highest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 15*b + 55. What is w(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 105 = i, 277 = 4*i + 3*p - 157. Let u = -60 + i. Calculate the remainder when u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 99. Let x(p) = -49. Let o(r) = 434*r - 1734. Let z be o(4). Give z*h(n) - 5*x(n).\nAnswer: -2*n + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7136 by 3.\nAnswer: -7136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - 7. Let k be x(-2). Let g be (6 + 0)*(-1)\/(-2). Solve g*r - 2 = k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -159, -625, -1401, -2487, -3883?\n\"Answer: -155*x**2 - x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 + 1270*d - 7622. What is t(6)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/368489 and -19\/31553?\nAnswer: 83647003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0 + 0*o**2 + 3\/14*o**8 - 7\/6*o**4 + 0*o**6 + 4*o + 0*o**7 + 0*o**5 + 0*o**3. Find the third derivative of w(z) wrt z.\nAnswer: 1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + w - 4*w)*(-75 - 73 + 32).\nAnswer: 1508*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d - 112435604*d**2 + 112435613*d**2 + 21*d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693*0.1.\nAnswer: -69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2029*j - 44 = -4*u + 2036*j, 3*u + 5*j + 49 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5079 and 30474.\nAnswer: 30474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - n - 2*n. Let w(d) be the first derivative of -40*d**3 - 3281. Calculate w(v(s)).\nAnswer: -480*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 2*g + 6. Let l be t(-3). Suppose -l*o - 10 = -8*o. Let h(f) = f + 1. Let s be h(4). What is the nearest to -1 in s, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1)*(-96)\/(-336)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eppm when four letters picked without replacement from peptpbbppmbpp?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17 - ((0 - -11) + -3). List the prime factors of ((8 + 24976)\/u)\/2.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (-11 - -18) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:12 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -56\/3. Let o = -4 - 2. Let j = -1 - o. Sort -3\/4, j, y in decreasing order.\nAnswer: j, y, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -5 (c) 11 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14, -2\/23, -1.1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1456 = -10*z + 4546. Calculate the remainder when 358 is divided by z.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-48)*63\/147.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.02 rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 18 = a + 80, 0 = -3*c + 4*a + 40. Calculate the remainder when 45 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19099, -32764, -46429, -60094, -73759, -87424?\nAnswer: -101089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/28083 and 79\/15088.\nAnswer: 18422448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 29*y**5\/300 + 59*y**4\/120 + y**3 + 3*y**2 + 191. Solve k(r) = 0 for r.\nAnswer: -30\/29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -321, -660, -993, -1314, -1617, -1896, -2145, -2358?\n\"Answer: q**3 - 3*q**2 - 337*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*j**5*o**3*x - 9*j**3*o*x**2 + 214*j**2*x**2 + 2*j*o**3*x + 2*x**2 wrt j?\nAnswer: -3420*j**2*o**3*x - 54*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*j - 21 = 7, -4*t + 4 = -j. Suppose -t*p + 4 = -0*p. Suppose p*q - 4 = -b, 4*b - 8 = 2*b - q. Solve -18 = 2*r - b*o, 2*r + 4*o - 11 = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 - 655 = -9*o. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 - 58*c**2 - 7*c**2 + 3*c**3 + 65*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8903571 + 2006.\nAnswer: 8905577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12113 and 4?\nAnswer: -0.48452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 108*r**2 + 56*r + 73. Is s(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -620.4 and 3.\nAnswer: -1861.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4\/7)*q)\/q)\/(q*q\/(q\/(q*q\/((q\/q**(-5))\/q)*q*q))*q)*(q\/q**(-4))**(-2\/107) assuming q is positive.\nAnswer: q**(-498\/749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -587*k**3 + 163*k**3 + 53*k**2 + 184*k**3 + 187*k**3 to the form o*k**3 + h + s*k + i*k**2 and give i.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 799096*a + 20776488. What is n(-26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*w**3 + 5*w + 12*w**3 - 5*w + 15*w**3 - 85*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/6 + -10\/3. Let d = 0.293 - -0.007. Which is the third smallest value? (a) j (b) 2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*d + 810 = -266*d. Calculate the least common multiple of 27 and d.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27041 is divided by 4534?\nAnswer: 4371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 a when four letters picked without replacement from aacjaavpajavjackjc.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 27. Let y be i(-5). Let a be y*(3 - 5) - -16. Suppose 4*u - 23 - 45 = -4*p, 3*u - a = 0. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, t: 4}. Give prob of picking 3 t and 1 z.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*k - j, -4*k + 3*j - 8 - 15 = 0. Let d be (-1012)\/(-66) - ((-5)\/3 - k). Let q(n) = n - 5. Calculate q(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2750 and 993564.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0 = 6. Let h be (-17550006)\/(-9) + u\/(-3). Suppose 2*v = -3*v + h. Round v to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**6\/30 + 257*t**4\/4 - 1579*t**3\/6 - 2362*t. Find the second derivative of v(m) wrt m.\nAnswer: -12*m**2 + 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365*0.28.\nAnswer: -102.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 357\/((-42840)\/2640)*-1*(-3)\/(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cchcccncccccchcnccnc. Give prob of picking 3 c.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 2:37 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3930899 is divided by 6142?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444352649?\nAnswer: 13, 34180973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -450\/83 + 1149\/166. Which is the closest to q? (a) -1\/6 (b) 2 (c) -0.2 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*s + 5 - 25*s - 20*s)*(s - 5*s + 0*s).\nAnswer: 88*s**2 - 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 27?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -8c31?\nAnswer: 8c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -30*y - 120. Let s be o(-14). What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265071 by -3.\nAnswer: -88357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (217 + 11)\/(-19) - 386\/(-32).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(64) - (sqrt(76) - (sqrt(76) - (sqrt(76) - (2*sqrt(76) + sqrt(76)))))\/sqrt(4) - (6*2*sqrt(190))\/sqrt(10).\nAnswer: -39*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 193547709241366\nAnswer: -193547709241369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -5\/7 (c) -5 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 41*o + 44*o - 3, -3 = -3*l - 4*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3747 is divided by 695?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8284808.9 to the nearest one hundred thousand.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:51 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 342298000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = -4*b, 5*b - 40 = -5*n. Let l = n - 8. Suppose -282 = t - l*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 - -157. Let a be (36\/s)\/((567\/(-30))\/(-3)). What is the third smallest value in -2, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72)*3 - sqrt(72))\/(2*(sqrt(4) + sqrt(4) + 5*sqrt(64))).\nAnswer: 3*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996810681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-9*m + 10*m - 6*m)*(-3 - 4 + 2) + 3*m - 6*m - 4*m)*(-m**2 - 2 + 2*m**2 + 3) to the form l*m**2 + f*m**3 + k*m + x and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 17239440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -191.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7819*p - 41849*p + 556*p - 25773*p.\nAnswer: -59247*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 133, 1096, 3729, 8872, 17365?\n\"Answer: 140*b**3 - 5*b**2 - 2*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 424889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -10, -5, 5, -4, 22.\nAnswer: -10, -5, -4, 5, 19, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -6970007 less than -6969993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 18*t**2 - 2*t - 28. Let q be j(-18). Suppose 9*s = 10 + q. Suppose -s*x = -2 - 4. Let w(a) = a**2 - 5*a + 2. Determine w(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**38*a**(-43))\/(a**(-1)*a**(-3)*a*(a\/(a*a*((a*a\/(a**3\/a)*a)\/a)\/a))\/a*(a*a**(1\/2))\/a*a) assuming a is positive.\nAnswer: a**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 4409\/13 - 339. Which is the smallest value? (a) o (b) 4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 divided by -1\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41\/2 + -21. Let z(j) = -j**2 + 2. Let q be z(-2). Let k = 5 + q. Which is the smallest value? (a) h (b) 1\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0566 + -98413.\nAnswer: -98412.9434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4333950 and 79\/7801110.\nAnswer: 39005550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1319, -3114, -4909?\nAnswer: -6704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/20 + x**3 + 6*x**2. Let i(t) = 3*t**2 - 7. Suppose -2*s + 0*c - 14 = -2*c, -4*s + c = 28. Determine s*g(f) - 6*i(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-49)\/(-2) - (-2)\/(-4). Let o be i\/20*20\/6. Solve 0 = -o*c + 5*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j = -15*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2238*g**2 - 5*g - 6. Is k(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*k**3 + 4*k + 80*k**3 - 34*k**3 + 0*k**2 - 36 + 4*k**5 - 36*k**4 + 72*k**2 = 0. What is k?\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**3 + 8*y**2 - 14. Let r(f) = -8*f**3 + 9*f**2 - 16. Let x(k) = -7*i(k) + 6*r(k). Let p(a) = -a**2 + 7*a + 2. Let h be p(7). Give x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 9. Let c be k(0). Let o(l) = 1 - 3*l - l**2 - 4 - c - 6*l. Suppose 0*m + 9531 = -2*m + 9515. What is o(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/261? (a) -0.3 (b) -189 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 3*b - b, -3*b + 6 = 0. Let i = 19 - d. Calculate the least common multiple of (-43)\/(-2) + 4\/8 and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.034263 times 0.4\nAnswer: 2.8137052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 1348?\nAnswer: 59312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3060, 12172, 27354, 48606?\n\"Answer: 3035*t**2 + 7*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1206b - 4?\nAnswer: -1206f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 64 = -2*x - 0*x, -4*g + 68 = 4*x. Let q(s) = s - 11. What is q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 1\/22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -79032\/7, -0.5, 4\/3 in decreasing order.\nAnswer: 4\/3, -0.5, -2, -79032\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaazvt. Give prob of sequence vt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21024 + 1112431?\nAnswer: 1041402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110222836?\nAnswer: 2, 27555709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26538194 rounded to the nearest one hundred thousand?\nAnswer: 26500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 83*d**2 - 606*d - 411. Give v(-75).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-14 - -7) + -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1570*y**3 - 510*y**3 - 56*y**3)*(-y**2 + 0*y**2 + 5*y**2) + 4*y**5 - y**5 - 4*y**5.\nAnswer: -8545*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100110111110 - -111?\nAnswer: -110100110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - o + 5*o)*(-2 + 2 - 1)*(-2 + 12 - 3) in the form r*o + i and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**3 - 1400*n**2 + 125440*n - 3512320 = 0. What is n?\nAnswer: 56, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**2 + 232529364*k + 4505825426853708 = 0?\nAnswer: -38754894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8110 (base 13) in base 3?\nAnswer: -220100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 196.4, 1.1, 0, 2 in decreasing order.\nAnswer: 196.4, 2, 1.1, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5431.9 * 0.5\nAnswer: -2715.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3272690091.\nAnswer: 3, 11, 99172427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 56 = y. Suppose 0 = a + a - y. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*l - 48153 = 0, -5*x + 48139 = -94*l + 91*l. What are the prime factors of x?\nAnswer: 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 6.1\nAnswer: -67.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 - 68*d**4 + 5498*d**3 + 908*d**2 - 70320*d - 65664 = 0. Calculate d.\nAnswer: -72, -3, -1, 4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 9. Let g be (3 + 20\/n)*9. Suppose 4*k - 108 - g = 0. What is the remainder when 87 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1. Let q be -16*2*3\/(-12). Let m = q + -3. Which is the nearest to 0? (a) p (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-2) + (0\/1)\/(-2). Let p(f) = -3*f - 3 - f**3 - w*f**2 + 7*f + 0. Calculate p(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4 (b) -10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -53 - -11 - ((-6 - -27) + -10)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 60 = 3*k - 9965, -9904 = -4*v - 4*k. Suppose -11*n = -10*n - 3*x - 501, -x = -5*n + v. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1790 and 347910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3901489, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -44*j**5 - 47264*j**4 - 12743600*j**3 - 27220160*j**2 + 96600064*j + 18386944 = 0.\nAnswer: -536, -4, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**6\/15 + 179*k**4\/12 + 5659*k**3\/6 - 1840*k. What is the second derivative of y(c) wrt c?\nAnswer: -24*c**2 + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 49, 89, 145, 217?\n\"Answer: 8*f**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.8 - 12.4. Sort 1\/11, w, 5.\nAnswer: 1\/11, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**4)**(3\/16) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 6 = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7369*n + 3672*n + 3677*n - 100 + 2*n**3 + 1985*n**2 wrt n.\nAnswer: 12*n + 3970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 17, n: 2}. What is prob of picking 2 n and 2 z?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9 - 3\/(-18). What is the second smallest value in 0, 1, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331547 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10*j**3 + 6*j**2 + 3*j + 1. Give x(-2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/5*34\/408*7\/1.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 1:30 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55 + 34447?\nAnswer: 34524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100037124 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -500, -1717, -3742, -6569, -10192?\nAnswer: -14605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 9. Let i be y(7). Let z(f) = 2*f**3 - 12*f**2 - 5. Let q be z(6). Let w = q - -9. Solve 2*b - w*b = i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z**4 + 3*z**3 - 7*z**2 + 3*z - 2. Let p(i) = 9*i**4 + 2*i**3 - 5*i**2 + 2*i - 3. Let r(l) = -2*a(l) + 3*p(l). Differentiate r(k) wrt k.\nAnswer: 44*k**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4 - 4. Solve 0 = x*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34703 - 22.\nAnswer: -22.34703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 442*u**2 + 127*u**2 + 71*u**2 as y*u + m*u**2 + p and give m.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)*3)\/((sqrt(4) - sqrt(64)) + sqrt(4)).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2704.7 - -2705. Let d be (2\/(-1))\/6*-3. Put b, 2\/5, d in increasing order.\nAnswer: b, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -2*n**5 - n**4\/6 - n**3\/6 + 1527*n - 2. Determine j(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o - 53. Let x(r) = 2*r**2. Determine b(x(v)).\nAnswer: 6*v**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -6*x. Let v(y) = -y**3 + 4. Let s be v(x). Suppose s*j + 20 = 9*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8131 is divided by 659?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64078864.\nAnswer: 2, 29, 138101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -354*h**2 + 2*h**4 + 4*h**3 - 284*h**2 + 771*h**2 + 3 - 322*h**2 - 2*h**3 as m*h**4 + p*h**2 + u*h + b*h**3 + a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30, -25, -16, -3, 14?\n\"Answer: 2*z**2 - z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86510 and 3529608?\nAnswer: 17648040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7182.531 centimeters?\nAnswer: 71.82531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - t + 58, 0 = -3*t - 0*t. Let d(n) = -n**3 - 30*n**2 - 36*n - 65. Does 12 divide d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506762065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 168101 (base 9) in base 10?\nAnswer: 104329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 859652201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9)*-2) + (sqrt(448)*-1)**2.\nAnswer: -sqrt(7)\/2 + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -209 (base 10) to base 4\nAnswer: -3101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*y + 87*y = -59*y + 297 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4995, 36708, 122781, 290394, 566727, 978960, 1554273?\nAnswer: 2319846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.02465 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7054*h**3 - 3536*h**3 - 3524*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, 5, 10356, 8 in descending order.\nAnswer: 10356, 172, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -739676 divided by 1.\nAnswer: -739676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 6 - (13 + (-48 - -14))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + -3 + (3 - 27) + 232 + -214.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7953 or 6.4?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*2*-2)**2 + ((sqrt(176) + 0)**2 + sqrt(11))*-4.\nAnswer: -4*sqrt(11) + 24640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/8)\/(3\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32048*t + 37672*t + 60264*t - 11.\nAnswer: 129984*t - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-36))**(-4\/15)*(l**40)**(-5\/6) assuming l is positive.\nAnswer: l**(-356\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*a**2*s**5 + 2*a**2 + 18*a*s**5 + 84*a*s**2 - 34 wrt s?\nAnswer: 12300*a**2*s**2 + 1080*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/40 + i**5\/15 + i**3\/6 - 5*i**2. Is j(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 13)*(-2*a + 4*a - 3*a)*(2*a - 5*a + 5*a) in the form g*a**2 + m*a + f and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*g**2 + 23*g + 75*g**2 - 5*g - 16*g + 54*g**2.\nAnswer: 73*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159461417 to the nearest integer?\nAnswer: 12628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/7)\/m)\/m)\/((m**(-11)*m)\/m))\/((m\/(m\/((m\/m**(-16)*m)\/m)))\/(m**(11\/5)*m*m)) assuming m is positive.\nAnswer: m**(-123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 32*g - 18*g. Does 9 divide 1*g + 47 + -47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00754553 to five dps.\nAnswer: -0.00755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237b6 (base 15) to base 3.\nAnswer: 12202011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 2. Let n be b(-2). Let t = -27 + 29. What is the units digit of (-1)\/t - (-62)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.78 + -13.44. Let i = k - -2.66. What is the closest to 2 in 2, i, 2\/21, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58 and -729388923278?\nAnswer: 729388923336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 2, u: 2, s: 1, f: 1}. Give prob of sequence fr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1137*j + 4828. Calculate b(-4).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/126*5\/(720\/476) and ((-88)\/(-12))\/(600\/(-110)).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**2*u**2 + 6*k**2*u - 2*k + 4*u**2 + 6*u wrt k.\nAnswer: 6*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2155291 and 75?\nAnswer: 161646825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 187260 and 33.\nAnswer: 2059860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c + 1 = z, -c = 3*z + 27. Suppose -1 = a - 6. What are the prime factors of (z\/a)\/(-4)*25?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 429 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 + 2*c**2 - 31*c**2.\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + o = -17 + 40, 0 = 4*i - 4*o - 8. Which is the closest to 0.2? (a) i (b) -3\/2 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**5\/4 + 5*o**4\/12 + 15*o**3\/2 - 45*o**2\/2 + 49*o. Factor r(b).\nAnswer: -5*(b - 3)*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11354055?\nAnswer: 3, 5, 73, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (-43 - (-79 + 46)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85.9 - 86.04. What is the biggest value in 5, -3, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55\/2 of a millennium?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 6125 = 455. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-210)\/20)\/21)\/((-1)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**3 + 1 - 1)*(-4909 - 8127 - 1484)*(-2*n + 2 - 2) to the form r + f*n + v*n**4 + w*n**2 + x*n**3 and give v.\nAnswer: -58080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -2*f + 2*d - 108, -f - 3*d - 71 = 0. Let a = 92 + f. Suppose n - 832 = -a*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8126 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 + 10000101100010?\nAnswer: 10000110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 0*i**3 + i**4)*(-3 + 3 - i) - 5*i - 3*i**5 + 5*i - 18*i**5 + 294 - 294.\nAnswer: -22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 3*x - 3\/2*x**2 + 0 - 8\/3*x**3. What are the prime factors of j(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 614089437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1404 by 4.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 12 = -3*m, 44*j - 18*j = 17*j - 4*m - 88 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*y**3 + 28*y**3 - 2*y**3 + 9*y**3)*(7*y - 5*y - 8*y + (y + y - 4*y)*(-2 + 3 - 2)).\nAnswer: -212*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 20. What is the derivative of -1 - 1 - 7*i**4 + i**a wrt i?\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9*28\/(-3150))\/(106\/1113))\/((-9)\/(-5)).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 2\/11 (c) 0.4 (d) 3.3 (e) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286307737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*i + 17. Let f be i\/(-2) + 0 + 24. Let y be 76\/18 + f\/(-126). Solve 3*p = -4*j - 29, -j - 2*p = -3*j - y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 2 = -42 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4774435459 to the nearest integer?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-117) - ((-850)\/135)\/(-17)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.480382 years?\nAnswer: 0.0480382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:05 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6) - 20\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 4:03 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 117141 at most 117139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 23 = -5. What is the derivative of n - 3*n + 0*n + 7 - g*n wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19676396 is divided by 621.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 270*n**3 - 11*n**2 + 271*n**3 - 532*n**3 - 3*n in the form l + a*n + i*n**3 + d*n**2 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2. Let v be (-4 - -4)\/(-3 + 2). Let y(s) be the third derivative of 3\/20*s**5 + 6*s**2 + 0*s + v + 0*s**4 + 0*s**3. Give x(y(f)).\nAnswer: -162*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/858 and 119\/520.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 + 5*j + 2. Let v(i) = 2 + 7*i + 7*i**2 + 1 + 2*i**3 - 3*i**3. Suppose 0 = -u + 4*t + 15 + 8, u = 3*t + 19. Calculate u*k(w) - 5*v(w).\nAnswer: -2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 77*l = 27*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -4.9. Let u = 2 - n. Let k = -3 - u. Which is the smallest value? (a) k (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5691 and 4\/9?\nAnswer: 17073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*x - 124*x + 10920370 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6460, 13832, 21204?\nAnswer: 28576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2 + 3*o - 2*o + (-9 - 24 - 3)*(179*o - 116*o - 89*o).\nAnswer: 937*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (2 + -57 + 4). Suppose 5*j - 4*z = -0*z + k, 3*j - 2*z = 31. Calculate the greatest common divisor of j and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*s - 114 = -68*s. What is the remainder when 63 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85\/231 + 372\/(-1364)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3697, -14818, -33347, -59278, -92605?\nAnswer: -133322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/158199486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*f - 20, -2*w - f + 6 = 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -732, -1651, -2938?\nAnswer: -4593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2961.9111 months to decades.\nAnswer: 24.6825925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219060 by -14.\nAnswer: -109530\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35431220*u**2 - 27658180*u + 5397605.\nAnswer: 5*(2662*u - 1039)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 2. Let i be 35\/15*(1 + 2). Let n be b(i). Suppose -93 = -5*j + p - 29, -3*j + 2*p + 44 = 0. Solve j = n*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 487517*l**4 - 3*l**3 + 3*l**2 - 5684112 wrt l?\nAnswer: 1950068*l**3 - 9*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35624349?\nAnswer: 3, 3958261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 43. Let t = -31.6 + z. Let v = t - 2.2. Which is smaller: -0.4 or v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -10423433?\nAnswer: 10423430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mgmdmgkmymdmg.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, b: 2, w: 3, v: 1, c: 3, d: 1}. Give prob of sequence nc.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 0*h - 2*h + (4*h - 4*h - 4*h)*(0 + 2 - 3) in the form z*h + k and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (15 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 22090 + 3*s + 44047 - 21968.\nAnswer: -2*s - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = -16*j + 2*j. Calculate the remainder when 99 is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 474067700 to the nearest one million.\nAnswer: 474000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*a + 129*a - 108 = -3*u, -2*a = u + 52 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*r + 2*m + 8, 0 = 4*r + m + 10. Let h(n) = -4*n + 25. Let u be h(6). Sort r, -7, u in increasing order.\nAnswer: -7, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 6, -1\/2, -0.2 in descending order.\nAnswer: 6, 0.2, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - (16 - 7)) + 2. Let y be (w\/(-13) - 1)*(-52)\/(-156). Factor -4\/13*p**3 + 0*p**2 + 2\/13*p**4 - y + 4\/13*p.\nAnswer: 2*(p - 1)**3*(p + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*l**5*o + 10*l**4*o**2 + 85*l**2 - l - o**2 wrt l.\nAnswer: 1140*l**2*o + 240*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -394, -496?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 23, 56, 103, 164, 239?\n\"Answer: 7*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 7) to base 5\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, k: 3, m: 4}. What is prob of picking 2 k, 1 m, and 1 z?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*h + 360*h + 68 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z + 561 = -674 + 1145 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18440 or 18474?\nAnswer: 18440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + z - 2 = 3*z, 2 = -3*o - 2*z. Let k be 1 + o - (0 - -4). Put 0, k, -2, 3 in decreasing order.\nAnswer: 3, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let s(i) be the first derivative of -3643*i**2\/2 + 44. Give h(s(n)).\nAnswer: 13271449*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-5) + 28\/(-35). Suppose l = -5*a - 13, u*a = l - 11 - 11. Let c be (268\/l)\/(2\/(-42)). What is c rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1417360, 2834299, 4251238, 5668177, 7085116, 8502055?\nAnswer: 9918994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2 - 18780*f - 6838182 = 0.\nAnswer: -351, 9741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 + 3*r - 2. Let c = 45 + -42. Let b(d) = -11*d**2 - 8*d + 5. Determine c*b(q) + 8*x(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 722422, 722296, 722092, 721816, 721474?\n\"Answer: m**3 - 45*m**2 + 2*m + 722464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21532\/9228*72\/70?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10964*v**3 + 10962*v**3 + 3*v + 4*v - 7*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, -1, 2, -167 in descending order.\nAnswer: 24, 5, 2, -1, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -27*x - 25. Let n(v) = 14*v + 13. Let f(k) = -2*k**2 + 5*k - 1. Let a be f(4). Let t(p) = a*n(p) - 6*y(p). What is the tens digit of t(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -22.5. What is the nearest to 4 in 3, 1, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -279 + 111. Suppose -4*k + 10 = -z. Suppose -3*s + k = 7. Solve 14 = 2*a + 4*l + s, 5*a - 14 = -2*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122505112 (base 6) in base 9?\nAnswer: -4415778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 2, d: 1, c: 1}. What is prob of sequence ycy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 11)*(-4 + 4 + 2*y**2).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3454249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 13, -4, -79, -3 in decreasing order.\nAnswer: 38, 13, -3, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (9 - (1 - -16 - 4)) + -3 - 45\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 + 55448*t**2\/3 + 110890*t\/3 + 55444\/3.\nAnswer: 2*(t + 1)**2*(t + 27722)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -4 (c) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 115*o**2 - 700*o.\nAnswer: 5*o*(o - 28)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/12*-12)\/(-2). Solve j + 1 = u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b5 + -3d?\nAnswer: -f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 6*d + 8. Let z be b(-2). Let g(m) = 7*m**2 + 12*m - 1. Is g(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 1 - 1)*(-3*t - 74*t + 34*t) + 2*t**2 - 13*t**2 - 27*t**2 + (2*t + 1 - 1)*(t + 0 + 0).\nAnswer: -79*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101 + 1010011001100011010011?\nAnswer: 1010011001100100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*s**4*u**2 + 44*s**3*u**3 + s*u**3 - 2*s + 3*u**3 + 566*u wrt s?\nAnswer: 192*s**2*u**2 + 264*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 4*t - 2. Suppose 19 + 1 = 5*s. Let h be j(s). Let i be 17 - (0 + 1)*h. Solve -i = 3*c - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5040525\/493 or -10225?\nAnswer: -5040525\/493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*v. Let h = v + 2. Solve 2*o + y + 4 = -4, h*o = 5*y + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 11. Let x = -11 + l. Is 0 - (1*-15 + x) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 62322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-42)*-4*21\/(-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -2729 + 299. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60899\/13534 - -2\/6767. Which is the closest to f? (a) -0.3 (b) 0.2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 301*q - 295*q - 131. What is the highest common divisor of q and 3888?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - 1.51. Let f = 1.51 + -0.22. Let z = p + f. Sort 0.2, z, 0, -0.3 in decreasing order.\nAnswer: 0.2, 0, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 greater than or equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63650 (base 7) to base 8.\nAnswer: 36624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8170 - -8170. Solve -w + 5*z + 20 = 0, b = -4*w + 5*z + 21 + 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 10. Let s be k(5). Let a = s + -7. Calculate the common denominator of 111\/14 and a\/1 + (-15)\/40.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45014*i**2 + 90008*i**2 - 45044*i**2.\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 - 88. Suppose -2*t - 2*f + 6 = -3*t, -v*t + 5*f = 10. Is t greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 181*f - 4. What is the smallest common multiple of s(1) and 7?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.08 + -7.92. Which is the closest to -1? (a) t (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/552 and 119\/2539752.\nAnswer: 2539752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) + (-218)\/(-6). Suppose 0*b + p = 3*b. Solve 0*z + 3*z = -b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16005 and 199155.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2094.1 - -2094. Which is the nearest to -2? (a) 3 (b) u (c) -4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**4*j)\/(j\/j**0*j*j))\/((j**(-2\/17)*j)\/((j**(-14)\/j*j)\/j)) assuming j is positive.\nAnswer: j**(-355\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -591*z**3 + 16*z**5 + 591*z**3 + 10*z**2 wrt z.\nAnswer: 960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + 31. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-5)\/(-3))\/(9\/(-4266)). Suppose 0 = 4*a - 6*a + x. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/9)\/b**(1\/3)*(b\/b**(-1)*b)\/(b**(-6)*b)*b*b**(-5\/2)\/b*b**(-2\/7)*b*(b**(-1\/4))**(-20) assuming b is positive.\nAnswer: b**(1399\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:40 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 = 2. Suppose 0*n - 159 = -d*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/120 - q**5\/20 + q**4\/12 - 4*q**3\/3 + 68*q**2. Let g be k(-4). Which is the closest to g? (a) 13 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -3*i**5\/10 + 5*i**4\/4 - i**3 - 2*i - 7. Factor p(n).\nAnswer: -3*n*(n - 2)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 1)*(3*h + 4*h + 2*h) - 156 + 156 - 8*h to s + n*h and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/5)\/t)\/t*t*t**6*t*t*(t*t**(-4))\/t**(-4\/9)*(t\/t**(-5)*t**(-2\/5)\/t*t*t)\/(t**(1\/3)*t**(-4\/3)) assuming t is positive.\nAnswer: t**(578\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30373 - -43771. What is the greatest common factor of k and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h + 1. Let w be j(-1). Let a be 3\/((-6)\/4)*-2. Let i = a + w. Solve -16 = 3*l - i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.7 + 9.07.\nAnswer: -9.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:51 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*v - 40*v + 127*v - 39*v + 68 as k*v + s and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37229881.\nAnswer: 13, 17, 29, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 553126 - 5.\nAnswer: 553121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = -5. Let j(k) = k**2 + 4*k + 3. Let d be j(q). What are the prime factors of (2 - d)*1 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i*i**(-11))\/i)\/i*i*i)**(-26)*i**(32\/3)*i**37 assuming i is positive.\nAnswer: i**(845\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l + 28. Let g be y(5). What is the derivative of 0*b**3 + 2*b**g - 115 - 6*b**3 wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*k = 2*u + 327, -3*u = k - 325. Calculate the remainder when u is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, b: 3, m: 3, n: 5}. What is prob of picking 1 b, 2 d, and 1 m?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-244)\/(-3))\/((-64)\/(-864)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 17 (c) 1\/5 (d) 31 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5 + 1 - (-6)\/(-6).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 778 = -499. Does m = 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t - 15. Let d = t + -12. Suppose 0 = 3*n + 2*k + 3*k - 618, 3*n = -d*k + 627. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbbb when four letters picked without replacement from {g: 10, b: 10}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.1 + -10. Let n = -22 + 12. Let o be (18\/n - 0) + 2. Which is the nearest to 2\/3? (a) -4 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 20833 + 65220 = 4*g, -4*x = 5*g - 59184. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, -179, 2, -1, 68 in increasing order.\nAnswer: -179, -19, -1, 1, 2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 312 - 310. Suppose -n*x + 255 = 5*t, -5*x - 366 = -8*x - 2*t. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -23\/344, 0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 254744697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 797940 divided by -13299?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/27045 and -7\/15785265.\nAnswer: 47355795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.33 - 34.63. Which is the third smallest value? (a) 0.5 (b) 3 (c) 3\/4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3848125464?\nAnswer: 2, 3, 61, 223, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprecebc. Give prob of sequence re.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 15*g + 7. Let k(z) be the first derivative of 7*z**2\/2 + 1573. Determine p(k(h)).\nAnswer: 105*h + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(28)\/sqrt(4)) + sqrt(245)*1 + (2*sqrt(900) - sqrt(900))\/(sqrt(125)*2) + 0.\nAnswer: 43*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/408672 and -35\/4257.\nAnswer: 408672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 4. Let o(s) = 0 + 0*s - 13 - s. Let q be o(-10). Give u(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5935159*w**2. Let p(b) = -15*b. Give p(x(f)).\nAnswer: -89027385*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/w*w**(5\/2))**42 assuming w is positive.\nAnswer: w**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 66*g**2 + 217*g - 5370. Determine h(-61).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 6*y + 0*y - y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + 3 + (13 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + 2*l + 1. Suppose 5*f - 47 = -3*x + 14, 0 = 5*x - 3*f - 45. Let d be (4\/6)\/(4\/x). Calculate g(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 12:38 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39 and -1480229.\nAnswer: 57728931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k + 3*k - 5*k + (3*k - 7*k + k)*(-2 + 2 + 1) - 7*k + 303 + 2*k - 305.\nAnswer: -7*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11595927 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + 5 + -4 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 375, 3 in descending order.\nAnswer: 375, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4396 and 262535400.\nAnswer: 1837747800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1008\/(-98))\/(-18))\/(36\/(-14))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/51 - 484\/68. Let t(k) = k**2 + 7*k + 8. Let z be t(c). Let q(b) = -b**3 + 9*b**2 - 7. What is the units digit of q(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 175*r**2 + r + 2. Let d be s(-2). What is d rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(-3*p + 18 - 18) - 3 + 3 + 2*p)*(-7*p**2 + 4*p**2 + 19*p**2).\nAnswer: -64*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-six fifths of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2 + 3760*z = 0.\nAnswer: 0, 3760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcjcjcjmccmmcmjcmmcj. Give prob of picking 1 m and 1 c.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r - 2*y - 4 = -25*r, -5*y - 10 = -2*r. Determine w, given that r - 2*w - 2\/9*w**3 + 4\/3*w**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -43*l + 46*l. Let x = -9 - -28\/3. Let v = 348 - 4522\/13. Which is the closest to 1? (a) l (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19329.\nAnswer: 3, 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {y: 2, m: 1, c: 1, d: 1, v: 1, u: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.61 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z*z*z\/(z*z**(-4)*z))\/(z**1*(z\/z**(-6))\/z)*(z**6*z\/z**(2\/5))**(-50) assuming z is positive.\nAnswer: z**(-334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-11)\/176 + (-9)\/(-4). Suppose -2*h - 5*k + 9 = 0, 5*h - 4*k + 1 = 7. Let n(f) = -115*f**x + 130*f**h + f - f. Let t(g) = 2*g. Give n(t(p)).\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = 5*z - 20, 4*z = m - 4. Suppose -4*q = -12 - 0. Suppose 3*t - 48 = m*x, 6*t - 48 = q*t + 3*x. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**3 + 6348*b**2 + 3*b - 6348 = 0.\nAnswer: -1, 1, 2116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 3*r**2 - 62*r - 9. Calculate l(10).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 24. Let p be r(0). Let s be 4\/(-10) - p\/(-10). Suppose -s*d + 26 = -d + 3*y, -2*y = 4*d - 64. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 + 14 - 138 + 70 + 3*v + v**2 as k*v**2 + y*v + z*v**3 + m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1100) + 0)**2 + 4 + 3 - (5*2*sqrt(1100) + 4 + 0)**2)*5.\nAnswer: -544420 - 3500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -552426 or -552389?\nAnswer: -552426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 67 - 397. Let d = f - 101. Find the third derivative of -20*h**2 + 20*h**6 - 6*h**2 - 48*h**6 - d*h**2 wrt h.\nAnswer: -3360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.23401 microseconds in seconds?\nAnswer: 0.00000823401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 4*p**3 + p)*(25 - 25 + 17*p**2) + (-2*p**2 + 2*p**2 + 2*p**2)*(-2*p**3 + 2 - 2).\nAnswer: -72*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n + 15 = 20*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001110110 - -10010010100?\nAnswer: -10001111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - r**2 - 5*r - 6. Suppose -4*c + 13 - 5 = 0. Let y be 7 - 11 - (-18)\/c. Is w(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/16*(29 - 49). Factor 1\/4*f**3 + n*f - 1\/2 - f**2.\nAnswer: (f - 2)*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.9. Let g = z + -0.8. Let q = -0.6 - -1. Which is the third smallest value? (a) g (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175 - -175. Suppose -7*l + 5026 + 3675 = r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22398 divided by -6?\nAnswer: 3733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -294.0117 - -294. Round t to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3384 divided by 188\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48, 279, 658, 1179, 1836, 2623, 3534, 4563?\n\"Answer: -q**3 + 80*q**2 - 2*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -102.7. Let z = n + -3. What is z rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5781 and 987.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*25\/(-90))\/((-65)\/(-195)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 10. Let r be n(6). Let g = 12 - r. Factor -1\/2*f**g + 0*f - 1\/2 + f**2 + 0*f**3.\nAnswer: -(f - 1)**2*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5527624*m**3 + m**2 + 1487563*m.\nAnswer: 33165744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*v + 5*b - 62, -3*b + 170 = 5*v. Calculate the remainder when 570 is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(396) + sqrt(396) + -2) - sqrt(396))**2 - sqrt(33)\/(sqrt(27)*2).\nAnswer: -865*sqrt(11)\/6 + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 3*j + 3*j)*(-49170 - 94*j**2 + 49170) - j**3 + 0*j**2 + 2*j**3 + j**2 to the form q*j**3 + v*j**2 + g + s*j and give q.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6731216 divided by -20522?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.1. Let d = 6.6 + -7. Which is the nearest to 1? (a) d (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, 9, 12539, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1326483478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 32400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 - 2*d**2 + 3*d**2. Let g(n) = -5*n + 2*n**2 + 5*n + 0*n. Give j(g(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.96 + -7. Let r = n + 2.74. What is r rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*w = 1453 - 29873, -5*d - 2*w + 71065 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3\/3 + 13*l**2\/2 + 6*l - 5. Let k be p(11). What is the tens digit of (-348)\/(-14) - (-4)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -24. Let d = -14.1 - -3.1. Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**3 + 60 - 60 - 6*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - h**2 + 0 + (-2 + 2 - 2)*(-4*h**2 - 4*h**2 + 5*h**2).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 796921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - u - 5 + 3, 4*o = -u - 2. Suppose o = -10*l + 2*l. Let d = -2153\/7 - -307. Is l > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5616882*k. Let r(z) = z. Determine r(c(p)).\nAnswer: 5616882*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - 0.2. What is the second biggest value in 0, c, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -190, -1177, -2822, -5125, -8086, -11705?\n\"Answer: -329*h**2 + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*s**3*w + 54*s**3 + 67*s**2*w - 100*w wrt s.\nAnswer: 264*w + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -818 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 3*sqrt(72))\/sqrt(6) + sqrt(12))\/((2*sqrt(42))\/sqrt(7)) - (2 + (1 + sqrt(512)*-1)**2).\nAnswer: -515 + 63*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-7)\/14*-2*(-1)\/(-10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i**2 + i + 1. Let r(x) = -x - 16. Let d(w) = -18*w**2 - 3*w + 2. Let s be d(1). Let m be r(s). Let v be u(m). Is 4 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 - 14*z + 7. What is the remainder when 24 is divided by s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(567) + (sqrt(112)*-2 + sqrt(7))**2.\nAnswer: 9*sqrt(7) + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -14103*m + 42024. Determine f(3).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-735)\/(-6)*4*(-7)\/(-35). Let k(p) = 3*p**3 - 3*p + 2. Let t be k(2). Let a = t + m. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18948*i**4 + 153*i**2 + 31041676 wrt i.\nAnswer: -75792*i**3 + 306*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 15 = -5 + 86 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21710.8 rounded to the nearest 100?\nAnswer: -21700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268408220?\nAnswer: 2, 5, 1693, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 277 = -4*i + 3*o, 4*i + 2*o = 298. Let z = 514\/7 - i. Let r = 0.07 - 3.07. Which is the third smallest value? (a) z (b) r (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -1848\/151?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -569*w + 535*w + 13974 = 0. Solve -w*p + 410*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013128 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431115 (base 7) to base 11.\nAnswer: -51252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1370342 + -0.137. What is f rounded to six dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -891?\nAnswer: 891.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 9:36 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 888, 1334, 1780, 2226, 2672?\nAnswer: 3118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16896292 and 982?\nAnswer: 16896292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241066275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/198 - -5\/22. What is the third smallest value in -1\/16, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -592849\/4 + 149224. Let n = 1024 - w. Let u = 475\/21 - 897\/28. Find the common denominator of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 + (17 + -42 - 40) + 30?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-4 + 3 + sqrt(252) + 0)*-4)**2.\nAnswer: -1728*sqrt(7) + 36432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17501.62 litres in millilitres?\nAnswer: 17501620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 7)\/2 + 1. Let d(b) = b + 2. Let n be d(y). What is the units digit of n - (-1 + (2 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, e: 5, x: 2, a: 2, i: 1, q: 3}. Give prob of picking 2 e and 2 x.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 17*m**2 - 8*m + 6. Calculate a(16).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, -7, 11334 in descending order.\nAnswer: 11334, -7, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38*(4\/(-30)*1)\/((-4)\/15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12 + -2)*5\/10. Solve k*n - 15 = -5*f, -3*f - 25 = 2*f - 5*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*sqrt(891) + -1))**2.\nAnswer: -288*sqrt(11) + 57028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 t, and 1 o when four letters picked without replacement from ooppitoopppttoptto.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17640614 to the power of 1\/2, to the nearest integer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 9)*(-6 + 5 - 11)*(b - b + b).\nAnswer: 168*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -e?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(275) + 2)**2.\nAnswer: 50*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 9:17 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84141 + -128141. Round q to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, -4, 1\/4, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48\/65 + -7\/13. Solve -3\/5*c**2 + 3\/5*c + o*c**3 - 1\/5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 13*v**2 + 3*v**3 - 4*v**3 + 5.\nAnswer: -v**3 + 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 639 and 9?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 7. Let n be t(2). Let x = 1 - 4. Let r = x - -3. Solve r = 3*y - 3*p + 9, 22 = -y + n*p - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52130994*-1\nAnswer: -52130994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 288 + -174. Let f(r) = 6*r - 9. Let y be f(6). What are the prime factors of (-72)\/y*a\/(-8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 3. Let a(b) = 2*b - 3. Suppose -5*n + 15 = 30. Determine n*g(p) + 2*a(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 22. Suppose j - k = -v*k + 22, k - 1 = 0. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let p(k) = 39*k + 34. Let x(g) = -4*a(g) - p(g). Let c(v) = 42*v + 33. Let t(s) = -4*c(s) - 3*x(s). Differentiate t(u) with respect to u.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -13 + 6 - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, -116, -580, -1322, -2348?\nAnswer: -3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2981118.3 months to millennia.\nAnswer: 248.426525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**21)*k)\/(k\/(k\/k**(2\/47)*k)))\/(k**(5\/6))**(-18\/7) assuming k is positive.\nAnswer: k**(-5560\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4*c = c - 25, r = -2*c - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 3 (c) -1138263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 56680.6191 to the nearest 1000.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i + 17*i - 38*i + 8*i - 2*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-10)*(-4)\/(-27)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)\/(n*n**(-5)))**24 assuming n is positive.\nAnswer: n**(456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 186, 375, 564, 753, 942?\n\"Answer: 189*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*t**5 + 3981*t**2 - 3981*t**2 + (-4*t + 2*t - 2*t)*(-5*t**4 + 2*t**4 + 2*t**4) + (2*t**4 + 2*t - 2*t)*(-2*t + 4*t + 0*t).\nAnswer: 101*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-16 + (11 - -15)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78246685 rounded to 4 dps?\nAnswer: 2.7825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*h - 3*u, -5*h - 65*u = -62*u - 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -13.4. Let y = 0.3 - 0.8. What is the smallest value in 3, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1143 + 10222?\nAnswer: 4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44, 57, 84, 131, 204, 309, 452?\n\"Answer: o**3 + o**2 + 3*o + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 33555*f - 469869. Give g(14).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/3 - 16*y**3\/3 - 52*y**2\/3 + 112*y + 294.\nAnswer: 2*(y - 7)**2*(y + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = m. Let l be -2 + 3*m\/6. Suppose 5*k = 10, 2*k + 1 + 3 = 2*w. Sort -2, w, l in descending order.\nAnswer: w, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1647729 (base 11) to base 6\nAnswer: -140053350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2002 or -2009?\nAnswer: -2009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 4, z: 1, p: 1, k: 2}. What is prob of sequence pz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*u - 3799 = -596*u + 4307 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 - 6*a + 5. Let l be w(-3). Suppose -2*j + 4*j - l = 4*x, -5*j - 4*x = -156. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(sqrt(275) + 0 - sqrt(275)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from ttdt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1\/3, 2\/5, 3\/7, 533\/6 in decreasing order.\nAnswer: 533\/6, 3\/7, 2\/5, 1\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -58833 divided by 27\nAnswer: -2179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 - -105.874. Let x = z - -5.826. Round x to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1516, -5, 3, 2.\nAnswer: -5, 2, 3, 1516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 0*d + 0*d**4 + 8\/5*d**5 + 0*d**2 + 8 + d**3. Find the third derivative of u(p) wrt p.\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2357 + -2354. Let k = 66 - 131\/2. Which is the nearest to -0.1? (a) 0 (b) 24 (c) p (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 100 - 53 = 15 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1196546.99812 - 1196579. Let w = -32 - l. What is w rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1283.\nAnswer: 4\/1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**(1\/5)*m)\/m))**(-1\/51)\/(m*m**(-3\/11)*m*m**10))**(-12) assuming m is positive.\nAnswer: m**(131536\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/88560 and 61\/320.\nAnswer: 354240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 1. Let s be g(1). Suppose -5*k - 4*r - 4 = -19, -r - 6 = -2*k. Let m be -2 + k*4\/3. Solve m*f + s*f = -15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83712958 is divided by 281.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p + 0*p)*((p**2 - 5*p**2 + p**2)*(3 - p - 3) + 4 - 4 + 2*p**3).\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1049460 + 1050040.9258. Let f = l + -581. Let d = f + 0.07. Round d to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -50. Suppose r - 25 = -5*i. Let x = -29 - -34. Solve i*t + x - 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584 + 660 = 2*t - 3*k, 4*t = -2*k + 2456. Let h = t - 1847\/3. What is the third biggest value in -4\/3, 19, h?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4\/3, 406, -10, 10, 1 in descending order.\nAnswer: 406, 10, 4\/3, 1, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in 0.63, -1, 0, 7\/144?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215 < 1214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185550?\nAnswer: 2, 3, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -56 * 0.0480602\nAnswer: -2.6913712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - 0) + 5)\/(1 - 8).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 4935 + 4936 - 30*h)*(2*h**3 + 3*h - 3*h) in the form v*h**4 + o*h + u*h**3 + q + k*h**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 7:51 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 896.2608 litres?\nAnswer: 896260.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 21. Solve g = 4*i + 2*g - m, 3*i - 6 = 3*g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117.5 - 112. Let u = b + -5.500155. What is u rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(72) - sqrt(72))*6)\/sqrt(4))\/((sqrt(72)\/sqrt(3))\/sqrt(4) - (4*2*sqrt(6) + sqrt(6))) + 1.\nAnswer: 1 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16220 + -15353. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1521135\/(-22389) - (-612)\/9?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y**2\/2 - 5963*y + 1325\/2 = 0. Calculate y.\nAnswer: 1\/9, 1325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 2. Let h = 1.233 + -1.033. Which is the nearest to 0.1? (a) -2\/3 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.07 (b) -2 (c) -1 (d) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 120 from 1.44.\nAnswer: -118.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -737562 divided by 105366\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 178\nAnswer: -53.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.7. Which is the second smallest value? (a) -0.2 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (4 + -8)\/(-4). Solve -n - 1 + 0 = z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/3 - 14090966*s\/3 - 2348494.\nAnswer: -2*(s + 3522741)*(2*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**3 - 5*l**2 + 43*l + 13. Let j(h) = 3*h**3 + 3*h**2 - 20*h - 6. Give -13*j(f) - 6*k(f).\nAnswer: 3*f**3 - 9*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d6 - -4?\nAnswer: da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -19*c + 8. Let y(p) = -p**2 - 1. Let q(j) = -n(j) - 5*y(j). Suppose 4*g + 9 + 11 = 0. Let l be q(g). What is the highest common factor of l and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*f**2\/7 - 276*f\/7 - 68\/7 = 0. Calculate f.\nAnswer: -17, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -5684 (c) -8.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72.821 + -0.179. Let x = -71.901216 - 1.098214. Let m = x - w. What is m rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.2613 less than 2784883?\nAnswer: 2784883.2613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -18 - 5*v - 3*v + 5*v + 0*v. What is f(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:49 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 25 = -v. Suppose -3*q + 5*q + 2*h - 8 = 0, 10 = q - v*h. Solve -2*s = -3*s + q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*a = h + 68, 24 = h + 2*a. Suppose 4*d - 41 = 67. Let v = d - 11. Calculate the least common multiple of v and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zizz when four letters picked without replacement from {i: 8, h: 5, z: 4}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 375*i**4 + 26579139075*i**3 + 31894966530*i**2 + 12757986564*i + 1701064872 = 0.\nAnswer: -70877703, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 - 10103?\nAnswer: -10242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - l = -2, -l + 5 = 4*n + 3. Which is smaller: n or 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 less than 3.44824?\nAnswer: 3.15824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v + 2*k = 4170, -4*k + 1046 = -v. Let z = v - -18881\/18. Let w = 10290 - 226447\/22. What is the common denominator of z and w?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2 + 22974*z - 2*z**2 + 0 - 22972*z + 4*z**2 + 10*z**3. Let f(a) = 170*a**3 + 35*a**2 + 35*a - 35. Give -2*f(l) + 35*x(l).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80600\/11440 + 2 + (-10)\/4. Which is the closest to y? (a) -0.1 (b) 3\/5 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79437\/22678 + 32\/11339. Let t = -0.1 + 5.1. Let d = -5 + 0. Which is the closest to -0.1? (a) t (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-108)\/(-18) - (1 + 3). Suppose g + 2*g - v - 9 = 0, r*v = g - 3. What is the greatest common divisor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**2 + 8. Let u(k) = -4*k**2. Calculate c(u(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 8. Let l be -8 - ((-1)\/1 + -1). Let u be w(l). Let a be (((-4)\/3)\/(-4))\/(28\/336). Which is greater: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2130 + -4134?\nAnswer: -6264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - y + 34 = 0, 2*t + 5*y - y - 28 = 0. Let v be (t + 18\/12)*6. Calculate the highest common factor of 99 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94c6 (base 15) to base 14.\nAnswer: b673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*q + 15*b, 8 - 12 = 3*b - 10 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3350444864 by -4.\nAnswer: 837611216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -105.3 (b) -5 (c) 5 (d) 4\/51 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -53. Solve 5*q = 10, -4*q - 7 = a*c - 3*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 5*a + 1. Let p(j) = -6*j - 10. Let v(m) = -13*m - 23. Let x(q) = -7*p(q) + 3*v(q). What is 7*x(h) - 4*z(h)?\nAnswer: -4*h**2 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*h - 45. Let m(l) = 2*l**3 + 3*l**2 - l - 1. Let a be m(2). What is the greatest common divisor of h and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**3\/3 - 3*a**2\/2 + a + 826. Give h(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.2, 0.5, -148460\/3 in decreasing order.\nAnswer: 0.5, -3.2, -148460\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-nine fifths of a kilometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/14)*z*z\/z**(-1\/2))\/(z**0*z**(-9\/2)) assuming z is positive.\nAnswer: z**(97\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4 - 208*b**2 + 31 + 206*b**2 + 4*b + 22*b - 2. What is q(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 - 0.66.\nAnswer: 33.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in -12, -5, -34, 7\/46?\nAnswer: 7\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13872 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.71401m in centimeters?\nAnswer: 7071.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10830.016 to the nearest 10.\nAnswer: -10830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pee when three letters picked without replacement from nepeenppnpeeeepnp?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 36. Let u(p) = 3*p**2 - 38*p - 1848. What is the remainder when u(-20) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3810*f**3 - 2 + 2 - 3813*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70 + (2 - -2 - 2*1). What is the greatest common divisor of 16 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + 0.17. Suppose 4*k - 2 + 6 = 0. Which is the second smallest value? (a) k (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 5886 - 5881 + 0*v + 7*v**3 + v + 5*v**3 as h*v + k + c*v**2 + y*v**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/7))**46 assuming u is positive.\nAnswer: u**(230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 8, -5, 2 in descending order.\nAnswer: 8, 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m**2 - 20*m + 3. Let b(h) = -4*h**2 - 7*h + 1. Calculate 8*b(q) - 3*u(q).\nAnswer: q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -819.48 + 819.362431. Round d to 3 decimal places.\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuussu?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 + 847 - 847 - w**2 + w**2 - w**2 + (-w + 2*w - 3*w)*(2*w + 3*w - 4*w) - 2 + w**2 + 2 to the form h*w + j + i*w**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/(372\/124)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*h - 27 - 49 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q - 5. Determine t(-6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129740 divided by 129740.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3273 + 1638 + 343*h**2 + 1633.\nAnswer: 343*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let p(f) = -122*f. Determine o(p(v)).\nAnswer: -122*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 55089 = 2*s - 108211, 3*l - 979746 = -12*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*w + 60, -19*w - 85 = -23*w - a. Suppose -4*s = -4*j + 8, -s - 11 = 3*s - 3*j. Let t = w + s. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31434)\/(-18252))\/((-19)\/684)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 3 + 180\/(-50). What is the closest to 0.3 in 0, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26198656 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -3*s**2\/2 + 7. Let x(v) = -v. Give t(x(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*n - 136*n - 138*n + 122*n + 417*n - 135*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-3 - 0\/5). Let d(y) be the second derivative of 0 + y**2 + 0*y**b + 2*y + 1\/4*y**4. What is the first derivative of d(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-2 - 8\/(-6)). Let m be 12\/((4 + -2)\/(-2)). Let u be (-9)\/m*(-72)\/(-27). Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11640000 = -15*a + 12*a - 5*z, -2*a + 3*z - 7760000 = 0. Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + s + 1. Let n(v) be the first derivative of 4*v + 3*v**2 + 3 + 4\/3*v**3. Determine n(x) - 6*z(x).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0\/(-7))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42703796.\nAnswer: 2, 17, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 914.4681km to centimeters.\nAnswer: 91446810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 1. Let j(f) = 28. Determine j(p) - 28*u(p).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 173, 269, 379, 509, 665, 853?\nAnswer: 1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.025 + -0.131. Let i = 1989.894 - 1992. Let m = z - i. Which is the third biggest value? (a) -1\/6 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -15865?\nAnswer: 15861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17126349585.299999879 - -17126349577. Let u = w + 8.3. What is u rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100 divided by 39?\nAnswer: 3100\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1065 - -1081. What is the smallest common multiple of 680 and o?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16\/3207 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16692917 is divided by 1480?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by -1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2561896272?\nAnswer: 2, 3, 13, 1237, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80, 139, 202, 269, 340?\n\"Answer: 2*p**2 + 53*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 5. Let v be y(7). Suppose -r = -5*b - 28, v*b = 3*r - 3*b - 34. Suppose 0 = -r*m + h + 19, 3 + 11 = 2*m - 2*h. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6210958.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -35. Let x = -2 - -2. Suppose -3*v + 18 + 9 = x. Calculate the remainder when m is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Let d(j) = 19*j**2 - 4880*j - 188. What is z(d(p))?\nAnswer: 38*p**2 - 9760*p - 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 117. Calculate h(-29).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*o - 4 - 5, 2*l - 2*o - 6 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 8*t**2 - 7*t + 5. Suppose 0 = -22*a + 67 + 43. Let l(z) = z**3 - z**2 + z + 43. Let n be l(0). Suppose a*v - n = -8. Determine m(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, and 1 j when three letters picked without replacement from {g: 1, l: 7, j: 1, c: 3, d: 1}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4109*q*s**2 + 7114*s**2 wrt q?\nAnswer: -4109*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**5\/5 - 9*l**4\/2 - 180*l**3 + 7425*l**2 - 91125*l + 4285. Factor r(q).\nAnswer: (q - 15)**3*(q + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 986\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 7. Determine m(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2. Suppose -4*h - 19 = -3. Let d be 0\/((-2 + 6)\/h). Let r(s) = 1 + d - 1 - 2*s. Calculate r(f(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17516122 is divided by 685.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -12. Suppose 19*q - 24 = -5*q. Let l be ((-14)\/(-6) - q)\/(10\/15). Solve 3*z = l*a - 17, 1 - h = 2*z + 3*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5107542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 63. Let l be z(20). Suppose -5*k = -2*a + 20, 7 = l*a + 2*k + 2*k. Solve 0 = -4*g + 12, -a*d - 5*g = -4*d - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 10:04 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Let j(c) = -3*c**2 - 2*c + k*c + c**2. Let m(r) = -8051997*r + 2 + 8051993*r - 2. What is j(m(y))?\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/12 (b) -3\/7 (c) 3636\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 7) to base 11\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 16. Let o(i) = 2*i**2 + 3*i + 1. Let v be o(-2). Let u(l) = 1. Suppose 4*w - 184 = 507*p - 502*p, 2*w - 20 = p. Calculate p*u(f) + v*j(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 22. Let a(p) = p**3 + 2*p - 1. Let c be a(1). Let h(n) = c*n + 1 - 5 - n. Calculate h(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175533784 is divided by 239?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 - 3*h**2 - 3*h - 1. Determine k(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3 + 12038*k**2\/7 + 11152*k\/7 - 858\/7 = 0. What is k?\nAnswer: -429, -1, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 3*p + 13. What are the prime factors of r(8)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 153.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(0 + sqrt(19))**2 + 2 + (sqrt(57)*-2)\/sqrt(3).\nAnswer: -36 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.29 (b) -3\/91 (c) -5 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 1. Let d(g) = -2*g + 21. What is n(d(y))?\nAnswer: -4*y**2 + 84*y - 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 6) in base 12?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p + 11*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 - 145 = 3*c. Let l = -293 + c. What is l rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/7 + 4714798*y**2\/7 - 2*y\/7 - 4714798\/7 = 0.\nAnswer: -2357399, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -694 - -850. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 35 = -10*v. Suppose 32 = v*a - 4. Let l(x) = x - 14. Give l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -106, -100, -92, -82?\n\"Answer: l**2 + 3*l - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938979.\nAnswer: 3, 83, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-6))\/(6\/44). Suppose 5*t - 108 = -3. Let g = t - c. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (-1 + sqrt(288) + -2)*-2)**2.\nAnswer: -1273 + 528*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, e: 2}. Give prob of picking 2 e and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 7:31 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130076307 divided by -2767581?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -418. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 - 57. Suppose -4 = -14*c + 16*c, 0 = -2*n + 5*c + u. Calculate the greatest common divisor of 203 and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(1 + 0 - 2 + (-4 + 1 + 5)*(-2 - 4 + 2) - 1 - 4 + 3 + 1 - 1 - 3)*(1 - 2*q - 1).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -56\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5904 and 1488?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(2*sqrt(81)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 8*r**2 + 3*r + 6. Let g be n(8). Let l be (g\/18)\/((-1)\/3). Suppose -t = 3*o + 13, 10 = -t - t + 2*o. Is t at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 5*z - 4. Let t be g(-6). Let d = t + 3. Suppose -d*k - q + 23 = -7, -3*k = 5*q + 4. Solve -5 = 3*p + k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 0, 46, 144, 312, 568?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*u - 11 = 0, 18*h - 15*h = u + 41. What is the second derivative of -h*m**4 + 11*m**4 + 16*m**2 - 3*m - 4 - 14*m**2 wrt m?\nAnswer: -12*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.45 + -0.2. Let i = y + 0.05. Let v = -230 + 2528\/11. Put i, v, 0 in increasing order.\nAnswer: v, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*n = -100, -4*k + 53 = n - 35. Let q = 38 - k. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*(188\/18)\/((-7)\/21). Find the second derivative of 3*o - r*o**3 - 77*o + 298*o**3 wrt o.\nAnswer: -468*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**4\/12 + 2*o**3\/3 + 2*o**2. Suppose -3*u + 2*k - 7 = 0, -k - 1 = 1371*u - 1368*u. Give y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -577, 17.1, 7, -2\/5?\nAnswer: -577","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142 - 137. Solve 8 = -m + 2*p - o, 2*m = -4*p + 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z + 0*z)*(3*z**4 - z**4 + 0*z**4 + (-2*z**2 + 0 + 0)*(2*z**2 - z + z) + 0*z**2 + 0*z**2 + z**4 - 3*z**4 - z**4 + 6*z**4).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1550\/7 + 222. Let 6\/7*n - 2\/7*n**2 - q = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 3*v + v)*(0 + 0 - v) + 0*v**2 + v**2 + 0*v**2 + (57*v - 43*v + 129*v)*(6*v - 3*v - v) in the form m*v**2 + s*v + t and give m.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00067705782 rounded to seven decimal places?\nAnswer: 0.0006771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 21. Sort 2\/9, l, 2 in increasing order.\nAnswer: l, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-96) + (8604\/32)\/9. Calculate the greatest common factor of q and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 19*h**2 - 79*h + 7. List the prime factors of g(16).\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893327?\nAnswer: 31, 28817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2584 divided by 5\nAnswer: 2584\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) - (4 + sqrt(200) + sqrt(200)*-4).\nAnswer: -4 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 13*r**2 + 2*r - 4. Let m be y(4). Let h = -317 + m. Let i(t) = 110*t**2 + 3639*t + 192. Let c be i(-33). Is c less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3222.786 + 3220. Round u to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*2\/112*(-14 - -16). Put -3\/2, -381\/5, k in decreasing order.\nAnswer: k, -3\/2, -381\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -6057, 2, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 divided by -5?\nAnswer: 142\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 - 76. Suppose -b = -0*y - 5*y. Suppose -2*g - 10 = -7*g. Calculate the remainder when y is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**5\/20 + 23*o**4\/12 - o**3\/6 - 9*o**2 - 78*o. Let j be u(-23). Solve 0 = j*a - a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/5))**(2\/11)\/(g*g**(-4))**43)**(-44) assuming g is positive.\nAnswer: g**(-28412\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 19*w**2 + w. Let b(c) be the first derivative of -4*c**3\/3 + 250. Calculate b(k(z)).\nAnswer: -1444*z**4 - 152*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t**2 + 4*t. Let n(p) = -16*p**2 - 5*p. Suppose w = 3*y - 12, -4*w - 13 = 3*y - 40. What is y*i(f) + 4*n(f)?\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5228 = 2*l - 758*h + 759*h, 4*l - 3*h - 10426 = 0. Is 123 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 91*k**2 + 1449*k + 2206. Calculate s(105).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13944 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*l - 221 - 273, -2*x = 4. Let p = l - -560. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 5. Let i be a(-5). Suppose 5*w + i = -2*y + 1, 7 = 5*w - y. Let v = 4111\/16 + -257. Is v >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gguu. Give prob of picking 1 u and 1 g.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001000101101000110 (base 2) in base 15?\nAnswer: -1138ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-2))\/(-1))\/((-27)\/24)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1\/3 (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Suppose -4*y = -0*v + v - 38, -r = 2*v. What are the prime factors of y\/(-15) + 58\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144357*k + 144520*k - 5211 = -14828 for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 2:25 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-150) - (-845)\/(-375)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*v + 1834 - 8. Solve 0 = -2*d + 5*z - 20, 6*d - 2*d - z = -v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -71*t + 28. Let l(p) = -p - 14. Let i(d) = g(d) + 2*l(d). Let x(j) = -j. What is x(i(b))?\nAnswer: 73*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-126))\/((-6)\/(-84)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 4*n**2 + 17*n + 8. Give s(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (9 - (-3 - -8)) - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*z = 659*z + 5*w + 142, 5*w = -14*z + 101 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.203 + 4.313. Let f = -5.21 + u. Are 5 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(108) + sqrt(12)\/sqrt(4) + 0 + 4)*-2)**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 451*d. Let l(a) be the third derivative of a**4\/12 + 58*a**2 + a. Give h(l(x)).\nAnswer: 902*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-14))\/((-600)\/240).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -5*z**3\/3 + 103. Let d(x) = -4*x**2 + 8*x. Determine d(q(g)).\nAnswer: -100*g**4 - 40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 144634\/1507 at most as big as 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19\/24 + 1\/8. Which is the nearest to -7? (a) -0.1 (b) 1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*k - k. Let m(h) be the second derivative of -h**5\/120 + h**4\/3 + 2*h**3\/3 - 12*h. Let j(d) be the second derivative of m(d). Determine j(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*f + 4*m, 4*f - 27*m = -25*m - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 5. Let y(d) = -k + 6 - 2 + d + d**2. Is y(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0 + 0)*(9*v**2 - 2*v**2 + 0*v**2).\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143787057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/13356 and 23\/33.\nAnswer: 146916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 21083*z**2.\nAnswer: -z**2*(z + 63249)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 32 + 52 - 45.\nAnswer: -5*p + 39","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*k + 10 + 25, 4*j = -5*k + 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/2*(-96)\/300. Which is greater: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 841 = 77*t + 71. Solve t*y + 90 - 50 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + 33. Calculate the greatest common factor of l and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09385657 * 110\nAnswer: 10.3242227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y. Let m(w) = 20*w + 15*w + 21*w + 7 - 55*w. Determine n(m(i)).\nAnswer: -3*i - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3)*1)\/((-69)\/(158355\/45))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.24 - -6.257. Let i = m - 0.137. Let w = 0.12 + i. Which is the nearest to 0? (a) -4 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052641094 to three decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w. Suppose -b - b - 2*q + 2 = w, -23 = -2*b + 5*q. Suppose -b*t + t = -39. What is the highest common divisor of 143 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 567 and 297?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a\/((a*a**4\/a*a)\/a))*a**5\/a*a*a\/(a**1*a*a)*a*a**2*a*(a\/(a**(-2\/7)*a*a*a))**(2\/5)*a\/a**(-3)*a\/(((a\/(a*a**(-5\/4)))\/a)\/a) assuming a is positive.\nAnswer: a**(2109\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/41 in 2\/21, 2\/17, -0.101, -3\/14?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7265*1.04\nAnswer: -7555.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 38 = -4*t, -4*t + 2815 - 2772 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 22*r**4 + 776*r**3 + 5686*r**2 - 17244*r - 22176 = 0.\nAnswer: -22, -168\/11, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101201122222 + -11?\nAnswer: 101201122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.2759055 minutes to weeks.\nAnswer: 0.000324990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 12:54 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1097 (base 11) to base 4\nAnswer: -112131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 divided by 24410?\nAnswer: 1017\/24410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 5, g: 2, t: 3, o: 7}. Give prob of picking 1 t, 2 e, and 1 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 8:29 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-144))\/(-5 + (-165)\/(-40))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 7*i**2 - i - 5. Let a be (4\/22 - 9\/(-11))*-7. Let s be w(a). What is the tens digit of ((-92)\/6)\/(8\/(-3) + s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232 + 232 - 4*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1913e + -2?\nAnswer: 1913c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18327 and 9536?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -2432.85\nAnswer: 973.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.072 in 17, -1, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 89*b**2 + 1 - 46*b**2 + 5*b - 41*b**2. Determine v(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -18) + -8 + 4 + 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/323532 and 131\/176472.\nAnswer: 1941192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1088*g + 2953*g + 6310 = -5813 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.51540744 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/5 + 2684*v**3\/5 + 4*v**2\/5 - 10736*v\/5 = 0. What is v?\nAnswer: -2, 0, 2, 2684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 2*w + 7*w. Suppose -2*o - 3*r + 360 = w, -o - 4*r + 173 = -6*r. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12\/11 - 14\/11. Which is the closest to -1? (a) -4 (b) 1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37.044 - -36.1. Round c to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 5\/2814, 14, 0.1?\nAnswer: 5\/2814","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38472 and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 6*u - 9*u. Let f = -2 + u. Solve 2*w - 5*p + 5 = 0, 6*p = -w + 2*p - f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6\/557057 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m - 3*m)*(3 + 2 - 3)*(-6 - 4 - 1).\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0716 - 0.3284. What is the third smallest value in q, 307, 4?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - -1 - (37 - 40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(0 - 3\/4). Suppose -g*z = 2*z - 10. What is the greatest common divisor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17 + 1253\/(-77))*1)\/(30\/11)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 518652118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 235698 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*h**2 + 104*h**3 + h**4 + 7*h**3 - 309*h**3 - 11*h + 77*h**3 wrt h?\nAnswer: 24*h - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 32a4b520?\nAnswer: 32a4b521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1232088 divided by -102674\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 78?\nAnswer: 6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y**5 - 30522*y**4 - 1564602*y**3 - 17059284*y**2 + 73610289*y - 22582962 = 0. Calculate y.\nAnswer: -27, 1\/3, 3, 3442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 10034661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 13*s - 40 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - m - 7. Let l = 18 - m. Solve y - 14 = -y - 4*x, 4*y = x - l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604*1 - (-2 - (-28)\/7).\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9\/(s*s**(1\/2)\/s)*(s**(-2\/7))**(-39))**48 assuming s is positive.\nAnswer: s**(6600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4130*o + 57*o**2 - 4130*o)*(15*o**2 - 3 - 16*o**2 + 5) to c*o**2 + x*o + w*o**4 + a*o**3 + p and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 73238*r - 2 - 69296*r + 2 as q + f*r and give f.\nAnswer: 3942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 460. What is the common denominator of 2679\/(-3312) - 10\/p and 59\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -237.5 + 345.5. Let x = 123 - 229. Let g = t + x. Which is the second smallest value? (a) -5\/4 (b) g (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b - 192 = 0. Calculate the remainder when b is divided by ((-675)\/(-108))\/((-1)\/(-4)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42057.\nAnswer: 3, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320547 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 9. Let u = 15\/38 - -2\/19. Sort -0.4, p, u in ascending order.\nAnswer: -0.4, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v**2 + 5*v - 6. Let w(x) = -14*x**2 + 14*x + 20. Let t(u) = 5*u**2 - 5*u - 7. Let f(l) = 17*t(l) + 6*w(l). What is -6*f(m) - r(m)?\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.09, 1\/3, 5, 2\/9 in ascending order.\nAnswer: 0.09, 2\/9, 1\/4, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4) - (-500)\/(-280)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u - 12 = 0. Let x(o) = -o + 2*o - 2 + o + 5*o**2. Is x(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = x + 53, -2*s + 6*x - 2*x = -16. Let u(c) = c**2 - 15*c + 2. Give u(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 5. Let j = 152 - 147. Let h(q) = -3*q + 11. Determine j*m(w) + 2*h(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11944, 45 in descending order.\nAnswer: 11944, 45, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61.1 - 61.1651. What is s rounded to 3 decimal places?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 3. Let z = -16.76 + 19. Let t = z - 1.74. What is the second biggest value in t, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -448 (base 11) to base 5.\nAnswer: -4121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2734 - -2749. Calculate the highest common divisor of n and 450.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -9 + -3 + 6 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-4 + 13 + (1 - (5 - 6))).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmffjmnnnjmzzffnfnmm. What is prob of sequence zmmn?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 1809*s - 1812.\nAnswer: 3*(s - 604)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 44. Let u be l(-20). Solve h**2 + 0 - 2\/3*h**3 - 1\/3*h**u + 0*h = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207195382?\nAnswer: 2, 31, 89, 37549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 569990417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 < 16200\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 543*y + 326. Is l(31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*z + 4 - 161*z + 323*z.\nAnswer: 13*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u + 11. Let a(o) = -5*o + 5. Let g be 1\/3 - (-172)\/(-12). Let p = g + 27. What is p*a(q) - 6*n(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -14, 9, 25 in decreasing order.\nAnswer: 25, 9, 5, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 41 - 11. Solve t*v - 15 + 5 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**4 + 0*l**4 - l**4 + (-2 + 2 + 2*l**2)*(-4*l + l**2 + 4*l) + 0*l + 0*l + 2*l**4 to z + o*l**2 + x*l**4 + s*l + t*l**3 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 - 432 - 144 - 3*j - 2*j.\nAnswer: -5*j - 710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*x - 54 = 0, 2*w - 28 = x + 12. Solve 5*p - 5*y = -w - 13, -y = 2*p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72531934 divided by -36265967?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -493726.27 + 3.34.\nAnswer: -493722.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 6390.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghvwk. Give prob of sequence khwg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, o: 6, y: 5, n: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13312 divided by 36\nAnswer: 3328\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**4\/4 - 17*m**3\/3 - 17*m**2\/2 - 16*m - 2089. What is b(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -509848.705 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 6:07 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/71775 and 137\/17226.\nAnswer: 430650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*x*z - 11269*g**2*z - 2*g*x**2 - 190493*x**2*z with respect to g.\nAnswer: -2*g*x*z - 22538*g*z - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143691 and 191361.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*v + 599*v - 309*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.028 + -277\nAnswer: -276.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/69)\/(((-5236)\/(-644))\/187))\/(85\/18)?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/11 - 73224*i + 9665856\/11 = 0 for i.\nAnswer: -402744, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 17*m - 160. Give i(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -330 (base 4) to base 14\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16 - 5.84. Let q = 13651584 + -13651578.000003. Let x = q + k. What is x rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 12*k - 15 = 0. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.85736029 - -1.9753592. Let n = 0.118 - g. Round n to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28666 + 145. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*a + 127*a - 271 - 78*a)*(-2 + 2 + 2).\nAnswer: 8*a - 542","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9408\/17 or 552?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(1 + 11*(4 + -3)). Let y be (1\/(-6))\/((-4)\/r). Does y = -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 53 + -37 - 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 3*h + 5. Let r be v(-3). Let d be r\/4 + (-3)\/6. Suppose 0 = 5*y + 4*u - 2, -y - 5*u - 9 + 22 = 0. Put d, y, 4\/3 in decreasing order.\nAnswer: 4\/3, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0 - 8. Suppose 0 = -2*m + 4*t + 132, 2*m + n*t - 148 = -0*m. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 39 = 4*j + 8*j, -m + j + 1 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 157, 214, 307, 442?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-768387)\/352728 + (0 - -2) + -1. Let c = r + -7\/3266. Calculate the common denominator of -65\/18 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + 20*d = -7*d. Sort 3, d, -46, -2.\nAnswer: -46, -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 282 or 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + sqrt(176) + sqrt(11)*-2*3)**2*-6 + 1).\nAnswer: 96*sqrt(11) + 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33594 - -3?\nAnswer: -33591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4601568 rounded to 2 dps?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 5:45 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, j: 8}. Give prob of sequence cjc.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**2 + 5*o**2 + 5*o + 2*o**3 - 3*o**3 - 3 - 2*o**2. Let s = -93 - -101. What is the tens digit of d(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363268009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1600 by 100.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2121 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34333\/16 + -2145. Let h = 24 + -26. What is the common denominator of 1318\/140 - h\/7 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5\/3 (b) -1 (c) 0.5 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i + 5. Let u be (0 + -4)*27\/(-18). What are the prime factors of k(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. Let t be (8 - 2)\/(w\/10). Calculate the highest common divisor of t and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t + 1. Let o be w(-2). Let g = o + 23. Suppose 3*x - 49 = 5*p, -30 = -4*x + g*x + 2*p. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o = 0. Suppose -5*k - x + o*x = 99, -5*k - 2*x = 98. What is the units digit of (-15)\/k + (-980)\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(6\/11)*n)\/(n**(-4)\/n))**(-1\/22) assuming n is positive.\nAnswer: n**(-36\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 174946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -3*4\/(-54). Let g = 12 + -11.9. Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152 + 218. Let j = 68 - w. Solve 0 = -3*f - 3*a, j*a + a - 10 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3954.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4711288 less than -0.2?\nAnswer: 4711287.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51\/44 - 10\/11. Let q = -19.4 - -19.8. Let i = -0.13 + -0.07. Sort q, i, h in decreasing order.\nAnswer: q, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 225*u - 111531 + 114906 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Sort 12.332, 237, 1\/4, 1.4 in descending order.\nAnswer: 237, 12.332, 1.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {h: 2, l: 2, t: 3, v: 8}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2243 divided by -5.\nAnswer: -2243\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - 4) - -4 - ((-53 - 23) + -11)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*s + 20, 3*s - r + 5*r - 15 = 0. Suppose -5*v - 4*z - z = s, 3*v + 4*z = -4. Let m = v - -6. Solve -d = -5*b + 6, -2*d - m = -2*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-23\/4))*u\/u**(-31)*u**(2\/129)\/u*u\/(u**(-22)\/u))**(-2\/11) assuming u is positive.\nAnswer: u**(-31355\/2838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 0*l**2 + 5*l**3 - 2 + 3*l - l as z*l**3 + o + t*l**2 + r*l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-24))\/((-58)\/(-87)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 3\/1*-1. Solve -h - 16 = -2*h - 4*c, 20 = -4*h + p*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 17 + 1. Suppose 3*i - 72 - u = 0. What is the first derivative of -30*k**4 - 21 + 24*k**3 - 50*k**3 + i*k**3 wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/32*-4*4\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 7:48 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -51 (b) -6\/7 (c) -1.3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*c - 2)*(-3 + 1 + 4) + (0 + 0 + 2*c + (-5 + 2 + 4)*(2 + c - 2) + 4*c - 3*c + c - c + c + 2*c)*(-2 - 4 + 1).\nAnswer: -39*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -293 at most 206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/8 (b) -0.02 (c) 7 (d) 1\/3 (e) 4\/25 (f) 3 (g) 3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*s**3 + 65*s**2 - 19*s**3 - 21*s**3 - 28*s**3.\nAnswer: -7*s**3 + 65*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -8 (c) -2\/3 (d) 1\/4 (e) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -155? (a) 0.4 (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -851779770 to the nearest one million.\nAnswer: -852000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 11:45 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 212891 divided by 7\nAnswer: 30413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1247, 5, 0.059, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*q - 57 = 0, -2*v - v + 2*q = -19. Let n be 6\/v - (1 - (-2512)\/(-3)). Let g = 1652 - n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1 (c) 231 (d) 0.2 (e) -4\/11 (f) 4 (g) -11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**3 - 46*g**2 - 5*g + 18. Determine b(15).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336074.6 millimeters to centimeters.\nAnswer: 33607.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7389376 by 4.\nAnswer: -1847344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -11) + -4 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/69 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = -1. Suppose -15 - 5 = 4*l. What is the second biggest value in l, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13098881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from {r: 3, q: 8, w: 2, u: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6\/22*2134\/(-776)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28 * 0.062\nAnswer: 1.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1. Suppose -b - 4 + 7 = 0. Let x(k) = 7 - 2*k + 3*k**3 + b*k**3 + k**2 - 11 - 4*k**3. What is -4*a(f) - x(f)?\nAnswer: -2*f**3 - f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*v + 2*z, -4*z + 8 = -2*v - 4. Suppose 8*k - 174 = v*k. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(3) - sqrt(12)\/sqrt(4)*1)**2 + -3 + sqrt(3) + 1 + -1 + -1)*6.\nAnswer: -6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 11 + (-3 - 1). Suppose 2*w + 15 = 5*y, -3*w + 35 = q*y + w. Solve -6*l + 7*l + 5*a = 5, -y*l + 5*a + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 167*l + 117. Let y be o(0). Suppose 4*z - 4*c = 308, -3*c + 174 = 2*z - 0*c. What is the greatest common factor of y and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 = 2*r, 3*q + 10 = -r + 24. Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1866182 minus 1045?\nAnswer: -1867227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11781*u**3 - 103*u**2 + 103*u**2.\nAnswer: 11781*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -22*y - 6. What is the remainder when 111 is divided by v(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302 - -307. Suppose 0 = -2*l - k*l + 730100. What is l rounded to the nearest 1000?\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 33 = -7*w. Let b be w*6\/(-36)*(-6 + 0). Suppose 7*f - 4 = b*f. Sort -3, -1, -2, f.\nAnswer: -3, -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1\/1)\/2. Let o(t) = -4*t**3 - t**2 + t + 1. Let p be o(g). Let i = -1 + p. Solve -q + i = -1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f**2 + 1 + 0)*(-28 - 158*f**2 + 28).\nAnswer: 158*f**4 + 158*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 169 + 4?\nAnswer: 16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57552?\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2655 divide 64139490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 4524\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**3 - 7*u**2 + 24*u - 29. Is d(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9377.3389 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -7, 214 in descending order.\nAnswer: 214, -7, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 201?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/36 + (-2)\/6. Let a = 24 - 20. Suppose 0 = 4*h - 20, -j + a*h = 2*j + 20. Is q at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 40. Let c be p(-6). Find f such that -14\/11*f**3 + 2\/11*f**5 + 24\/11*f - 16\/11 + 0*f**c + 4\/11*f**2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-369)\/6)\/((-30)\/20). Suppose -7*v + 2*v + 222 = -2*w, p = v + 3*w. Calculate the remainder when 75 is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - o**2)*(o**2 - 5*o**2 + 2*o + o**2).\nAnswer: 3*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 4. Let x be n(3). Suppose x*s - 3*s - 7 = -3*t, 4*t - 7 = -s. Let k = 11 - 7. Solve k*b + 8 = t*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9363, 18361, 27361, 36363, 45367, 54373?\n\"Answer: x**2 + 8995*x + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-12)\/a)*a\/(a*a**(-36)*a*a)*a)**(-39))**(-25))**17 assuming a is positive.\nAnswer: a**812175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - -2.4. Let m = -17 + 18. Let a = 5 + -8. Put a, m, d in decreasing order.\nAnswer: d, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100\/3, 40\/7, 2369 in increasing order.\nAnswer: 40\/7, 100\/3, 2369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -176*j - 81*j + 67*j + 5*j**4 - 20*j + 145*j**2 - 720 + 60*j**3.\nAnswer: 5*(j - 2)*(j + 3)**2*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9088 = 2*f - 3*a, 5*f - 13645 = 2*f - 2*a. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 17 - 57. Suppose -11*k = -p*k - 60. What is the highest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -125.6, 5, -0.5, 3, 21, -13\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30677 is divided by 12222.\nAnswer: 6233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*y + 3 = 0, y - 6 = 4*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 72*l**2 - 2*l + 6. Suppose 0 = 3*s + 202 + 242. Let z = s + 150. Does 58 divide t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10492467 to the nearest integer?\nAnswer: 3239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6461607 is divided by 266.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:14 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2167.83053 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 75 = 3. Suppose -10*l = 17 + 3. Let p = v + l. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.34 in 2, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 19*c - 11. Let j(y) = 10*y - 6. Let w(o) = 11*j(o) - 6*p(o). Let a(v) = 20*v**2. What is w(a(g))?\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 3. Suppose -5*o = -3*j - 5, -3*j = 2*o + 5 + 14. Let p be l(j). What is the second derivative of 7*c**2 + 2*c - 6*c - p*c**2 - 4*c wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/24)\/((-3)\/(-10)). Let g(o) = 44 - 81 - 4*o + 4*o**2 + 18 + o**3 + 20. Calculate g(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 10:14 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*x**4 + 9761*x - 9756*x + 3*x**3 - 47*x**4 - 3 - 2*x**2 as s*x**2 + g*x**4 + i*x**3 + v*x + k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -525494?\nAnswer: 525498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11072.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 663.8639 days in seconds?\nAnswer: 57357840.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - (2 + -1) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*r = 62*r - 47520. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4.8 (b) 4 (c) -193 (d) -0.1 (e) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -4, 0, 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 365278647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, and 2 z when four letters picked without replacement from {y: 3, c: 2, s: 2, q: 1, z: 2, r: 4}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k**3 - 201*k**2 - 54*k - 2826. Give y(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-616)\/165 - ((-100)\/(-15))\/(-5).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/3250 and -48\/47504125.\nAnswer: 1235107250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38795, 309464, 1043863, 2473856, 4831307, 8348080?\n\"Answer: 38644*p**3 + p**2 + 158*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6, 46 = -4*c - 4*i + 2. Let k = -2 - c. Calculate the greatest common divisor of 84 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9 + 0*i - i + 25. Let p be a(16). What is the third derivative of p*b - 36*b**2 - 6*b**6 + 33*b**2 + 0*b wrt b?\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/9 - 58*u**2\/9 + 212*u\/9 + 640\/9 = 0 for u.\nAnswer: -32, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((4\/(-138))\/(-1))\/(43\/258))\/(-2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*l = 135078 + 146005. Calculate the remainder when l is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i - 2*o = 0, 4*i - 2*o = 0. Let s be 16\/56*(7 + i). Suppose s*t - 4*t = -2. Sort t, -2, 0 in ascending order.\nAnswer: -2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5655?\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2161738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2 - (-10)\/2 - (-192 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 1. Let k(q) = q**2 - 4*q - 8. Suppose 2*f + 28 = -5*v, -5*f = -13*f + 8. Calculate v*m(o) - k(o).\nAnswer: -o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let f = -3.7 - -0.7. Let i = f + 2. Sort z, i, -0.4 in ascending order.\nAnswer: i, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 920502 and 88?\nAnswer: 3682008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2832 and 8304.\nAnswer: 489936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 2*k**2 + 2*k**2. Suppose 0 = -z - z + 16. Let t(l) = z*l + 2*l**2 - 8*l. Determine u(t(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from sppswcs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2478174 (base 9) to base 3.\nAnswer: 2112122012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 3. Let j be f(0). Let p = 5 - j. What is the units digit of 1 + -1 + 2 + p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -720, -732, -752, -780, -816?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, d: 3, a: 3, w: 4, m: 1}. Give prob of picking 2 a and 1 h.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1500011 - -43030?\nAnswer: 1543041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 5. Let h = -36.6 + 37. Put 2, y, h in decreasing order.\nAnswer: 2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 15*r**4 - 105*r**3 - 245*r**2 + 2395*r + 5755. Let w(s) = -23*s**4 + 158*s**3 + 369*s**2 - 3592*s - 8632. Let n(c) = 5*w(c) + 8*x(c). Factor n(p).\nAnswer: 5*(p - 8)**2*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1580\/3*h + 249640\/3 + 5\/6*h**2 = 0. What is h?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -27*a**3 - 5*a**2\/2 - 26*a. Is q(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 5. Suppose 0 = 5*q - 6 - 14. Let w(i) = -f*i + 4*i + q + i. Determine w(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635647 is divided by 450.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*sqrt(156)\/(sqrt(6) + sqrt(864) + sqrt(864)*-2 + sqrt(864)))\/(-1*(sqrt(72) + sqrt(72)*-1*-4 - sqrt(72))).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -17. What is the biggest value in -1\/4, -1.01, -2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/((-2)\/(-12)*-2). Let i(d) = 3*d**2 + d. Let n(b) = b**2 + b + 1. Give r*i(k) + n(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*a - 3*f + 60, 3*f = 5*a - 83. Solve a*n - 15 = 31*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/4153563 and -10\/33690011.\nAnswer: 303210099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose -a = f - 4*f - 2, -3*f = -z*a + 30. Let l(w) = -5*w + 1. Calculate the remainder when l(-5) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from rbrhhmiq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 12. Suppose 4*d + d + 25 = 3*s, -5*s + w*d = -25. What is the units digit of (-2 - 0) + s + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:51 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100110100101101101 + 111?\nAnswer: 1011100110100101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(25\/2)\/(-5). Let k = 27 - j. What is the smallest common multiple of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - d622?\nAnswer: -d625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*s)*(-107 - 4*s + 107) to the form k*s**2 + n + q*s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 19. Let w = t - 8. Suppose 2*y + 2*r - 5*r + w = 0, -y - 2*r = -15. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2\/5*b**3 + 0 - 2\/5*b**2 + 0*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from rbbrbbbbtrbrtl?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141921629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/41001 (b) -0.3 (c) 7\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -245 - -246. Is 20*((-152)\/(-16))\/w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 411 + 280 = -65*j + 191, -a + 3*a = 2*j + 26 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1585322, -3170648, -4755974, -6341300, -7926626?\n\"Answer: -1585326*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*q + 270 = 0, 51 = -0*y + y + 5*q. Let z = -66 + y. Solve -4*n - 3 - 1 = z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8466557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 2 (b) 1\/3 (c) 4 (d) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2 - f**2 - 1 + 18 - 4*f - 9 + 0. Calculate y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 9. Let g(q) = q + 4. Let t(h) = 13*g(h) - 6*y(h). Let c = -3 - -9. Suppose -3*w - 2*a - 3 = -0*a, -3*w = 5*a - c. Determine t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 436*z + 264. Let r(t) = 126*t + 88. Let j(l) = 2*g(l) - 7*r(l). What is j(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8973383911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 91*i - 3*i**2 + 2 - 86*i + 4*i**2. What is c(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4205*i - 1281*i - 1702*i + 5106*i + 731*i.\nAnswer: 7059*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 514 - 1350. Which is smaller: n or -837?\nAnswer: -837","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1324, -1910, -2900, -4300, -6116?\n\"Answer: -n**3 - 196*n**2 + 9*n - 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45 + 52?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -0.02, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4 + 24*r**3 + 83*r**2 + 60*r = 0.\nAnswer: -20, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 15, -6, -35?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14954865829\/59500 + 4272976\/17. Let q = g + 3\/875. Let c = 40877\/3 + -463309\/34. Calculate the common denominator of q and c.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {h: 2, n: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mttdumttttbbgbbtmmum. What is prob of picking 4 b?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -17, -9.\nAnswer: -17, -9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 25992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-2084.\nAnswer: 1875.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*n = 54. Let j = 2 - -3. Suppose -j*q + n = -12. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 f, and 1 r when three letters picked without replacement from ztfrzkr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhavyvyyvyvyyvvss. What is prob of sequence vyh?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -2\/5, 1\/4, -550 in ascending order.\nAnswer: -550, -2\/5, -2\/11, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4528583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - -5 - ((-23 - -50) + -8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**3 + 4*t**3 - 11*t**3 + 21175 - 21175.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 plus -3824.54?\nAnswer: -3835.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.179 + -0.179. Let r = -0.8 + 0.3. Let c = 0.9 + r. Sort n, c, 4 in ascending order.\nAnswer: n, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/3 + 258386*y\/3 = 0. What is y?\nAnswer: -258386, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*r - 26 + 27, r - 3 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 341*i + 9635. What is c(61)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1648 and -39\/15862.\nAnswer: 126896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 263 - 252. Suppose -885 = -4*n - j*n. What is the least common multiple of n and 11?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) - (sqrt(320) + -1)) + (3 + -4 + sqrt(320))**2.\nAnswer: -2*sqrt(5) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 3. Suppose 3*y + i = 5*y. Let o be 85\/y + ((-10)\/6 - -1). Solve 10*v - o*v = -4*z - 11, v = -z - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -i - 64, 2*q = i + 5 + 27. Is q\/(-72) - (-19829)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + 12 - 12)*(-3*n**2 + 4*n**2 - 2*n**2) + 159*n**3 + 475*n**3 - 131*n**3.\nAnswer: 497*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 326986.\nAnswer: 4904790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 1. Let j be -6 + 6 + -2 + -1. Let f be 5 + (2 - -1)\/j. Let k(y) = 4*y - f - 1 + 11*y. Calculate -2*k(i) - 11*x(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420000310 (base 6) to base 7.\nAnswer: 115602654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3474*h - 757330. Calculate s(-218).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 10:41 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -25\/9832?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {w: 1, s: 1, k: 1, z: 1, l: 2, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 280 = -m. Let p = 58 - m. Calculate the common denominator of -41\/21 and (376\/p - 2)*12\/(-64).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 + (6\/3 - 208). Let m = -203 - n. Solve 5*o - 21 + m = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0 - 16. Suppose 0 = 2*p - 5*t + 8, 5*t = n*p - 4 - 0. List the prime factors of p + -2 + 4\/3*45.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (4 + (-5 - -1) - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67\/6 (b) -1 (c) -6 (d) 3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -859 or -855?\nAnswer: -859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4552.6 + 5631. Round r to 0 dps.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-232)\/(-12)*(-9)\/2. Let i = 145 + a. Does 3 divide 4\/10 - i\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a second?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -5631\/2 and -2817 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 10528322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y + 116232 - 115715 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255892032 divided by 288.\nAnswer: 888514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1323*i - 21162. Determine q(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d52 + 2?\nAnswer: 2d54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965 - 467 + 586*c**2 - 498.\nAnswer: 586*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 93\/21 - (-9)\/21*-1. Suppose 3 = -y*l + 4*f - f, 5*f = -l + 28. Suppose -l*u = -164 + 23. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32533357 is divided by 247?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rokr. Give prob of picking 1 o and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1738*c + 580*c + 575*c + 586*c + 7.\nAnswer: 3*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b + 580. Does 6 divide (-2)\/(-5) - 4727\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/75*3*5\/(-8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450 = -3*j - 28*j - 14*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 210658 to the power of 1\/2, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w - 21\/4*w**3 - 21\/2*w**2 - 3\/4*w**4 + 0.\nAnswer: -3*w*(w + 1)*(w + 2)*(w + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223670704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r - 7. Let z be v(-6). What is the second derivative of -4*h + 3*h**2 + z*h**2 - 3*h**4 - 8*h**2 wrt h?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3147 divided by -7.\nAnswer: 3147\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 423 + -423. Factor 4\/5*y**2 + 0*y - 6\/5*y**3 + 2\/5*y**4 + f.\nAnswer: 2*y**2*(y - 2)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168422171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6866204 or -43?\nAnswer: 6866204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**3 + h + 163. Let u(i) = 3*i**2 + i - 1. Determine -4*g(m) - 5*u(m).\nAnswer: -3*m**2 - 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-4*1 - -2). Suppose 4*s - n*v = s + 14, -2*s - 5*v = 16. Let d be -30*(1240\/6)\/s. What is d rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k - 28*k + 8*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25737\/4 or 6435?\nAnswer: 25737\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.19 - 10.190048051. What is x rounded to seven decimal places?\nAnswer: -0.0000481","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**5 - 6495*p**4 + 276520*p**3 - 527100*p**2 = 0. Calculate p.\nAnswer: 0, 2, 42, 1255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.36946 less than -63.4?\nAnswer: -65.76946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834649 is divided by 332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.4 (c) 11 (d) 3\/2 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662081035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 1637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -6, -0.3, -13\/11, -4, 1\/2?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40259, -40296, -40333, -40370, -40407, -40444?\nAnswer: -40481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4041 and 3?\nAnswer: 12123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9305*b**2*o*u**3 - 29*b**2*u**3 + 61*b**2 - 333*b*o*u**3 - 12*b*u**3 - 12*u**3 wrt o.\nAnswer: 9305*b**2*u**3 - 333*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11052500 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 2 = -22*g. Suppose -6*y + y = -40. Suppose g*q = 2*q - y. Solve 20 = q*r - 9*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/5)\/5*(-25)\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 10*x - 6 = 0. Suppose -5 = s - 4*a - 29, 3*a = -5*s + 5. Solve 3*c + f = x*f + 16, s*c - f = 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1539 - 124 = -60*a - 1705 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -343 in -4, -0.1, 4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.17, 1, -4, 10\/2163 in increasing order.\nAnswer: -5.17, -4, 10\/2163, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g - 4 - 2 + 2*g - 4*g wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48358\/11 - 4396. Which is the nearest to -3? (a) -4 (b) 4 (c) 1\/2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t - 39 = 10*t. Let n = 1863 + -1171. Suppose -t*u - 7*b + 3*b + 418 = 0, 0 = -5*u - 2*b + n. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 13*l - 6. Suppose 0 = -4*v - 9 - 15. Let o be f(v). Solve o*n + 2*n + 5*p = 2, -4*p + 4 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -3*j + 4*s + 4, 26 = -5*j + 2*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 89.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, -111, -315, -603, -975?\n\"Answer: -42*x**2 + 6*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10874485 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43679, 174698, 393049, 698732, 1091747?\n\"Answer: 43666*b**2 + 21*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 33060 = 4*k, 3*r = -k + 6*r + 8271. Let v = 247789\/30 - k. Find the common denominator of -22\/27 and v.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4617 and -134.\nAnswer: -618678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 13*a - 16*a. Let t be (a\/4)\/(16\/(-416)). What is the units digit of (-9)\/6*(-1 - t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 172763 - 168?\nAnswer: 172584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59192*w + 19*w**2 + 59237*w - 38*w**2.\nAnswer: -19*w**2 + 45*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*z = m + 3, 1 = -z. Let h = m - 2. Suppose w + 20 = -5*y + 2, 3*y - 18 = 3*w. Put h, 0, w in increasing order.\nAnswer: w, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302108 divided by 6\nAnswer: -151054\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i**2*p**2 - 36*i**2 + 185*p**2 wrt i.\nAnswer: 8*i*p**2 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*n**4 - 28*n - 2*n**4 + 28*n + (-2 + 2 + 3)*(-3*n**4 + 0*n**4 - n**4) + 2*n**4 + 2*n**4 - 5*n**4 + (n**4 + 0*n**4 + n**4)*(1 + 2 - 5).\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32989593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 + 10*b - 5. Let v = -159 + 161. Let w be z(v). Solve -6 = 4*q + 2*d, 9 + 0 = w*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*h = 315 + 101 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*1*(-10 + (-140)\/(-8)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 54*r - 34 = 179 - 65, 0 = -5*q + 7*r + 14 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10129 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.072 in 1, 2, 0.123, -1?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31047*d**2*h + 332*d**2 + 133260678*d*h - d + h wrt d.\nAnswer: -62094*h + 664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -164877, -164866, -164845, -164814, -164773?\n\"Answer: 5*z**2 - 4*z - 164878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccck when four letters picked without replacement from cckcck?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 97*a + 11*a**2 - 97*a. Let n(c) = c. Give d(n(k)).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27373 + -27354. Solve -4*c + g = -3*s, -3*c + 18*s - 15*s = -15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n + 2*d - 400, 2*n - 2*d + 266 = 0. Let g = n - -196. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*g + 16, -4*g - 3 - 21 = -3*o. Suppose 3*d - 5 = -4*w - 1, -4*d - o*w = 0. Let t(i) = -6*i**2 - i. Let u be t(-1). Are d and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/28 + 23\/7. Suppose 4 = -c + d*p, -c = -0*p + 3*p - 26. Suppose 21 - c = 2*y. Sort -14, y, 0 in descending order.\nAnswer: y, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 553541205 divided by -13501005.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/2*(-1)\/(-5)*3680\/368.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -158684, -317537, -476390, -635243, -794096, -952949?\n\"Answer: -158853*q + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1930*o - 533 = 1889*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 744*a**2 - 1365*a**2 + 771*a**2.\nAnswer: 150*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1171*c**2 + 1 + 1167*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 + 5*a - 10. Let k be v(4). Suppose 4*s - 24 + 5 = 3*o, -2*s + 2*o = -k. Solve i + 5 = 5*p, -s*p + 3*i + 12 = -3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 623274852 and 0.4?\nAnswer: 623274851.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilb when three letters picked without replacement from {b: 5, v: 1, e: 1, i: 1, u: 5, l: 1}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180402682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 46. Factor 4 + 1 - 5*n**3 + n + 4*n**3 - o + n**2.\nAnswer: -(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 20*b**2 + 97*b - 9. Calculate l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73.932 - -0.068. Let k = p + -76. Are k and -11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -33.3 (b) -56539 (c) -1\/12 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 178*q - 3846. Let y be l(52). Which is the third smallest value? (a) 2\/11 (b) 13\/172 (c) 4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 19*v**2 + 176*v - 2375. Is f(20) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h**2 + h**3 - 10*h**2)*(5*h - 5*h - h) - 3*h**4 + 0*h**4 + 2*h**4 + (0*h**3 - 4*h**3 + 2*h**3)*(5*h - 4*h + 0*h).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 58368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 81 = -3*w, -5*s - 3*w = -0*s - 133. Suppose -z + 12 = -2*f + 23, -s = -4*f - 2*z. Calculate the remainder when 18 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 669 + -53. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*2\/(-2))\/3. Let n(c) = 83 + 5*c**2 + 6*c + x*c - 80 - c**3. Determine n(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14777, 192\/5, 0.4, 0.1 in increasing order.\nAnswer: 0.1, 0.4, 192\/5, 14777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/35 + 31\/70. Let c = -8 + 8. Let j be (c - -2)*4\/28. Put s, 5, j in descending order.\nAnswer: 5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 27*z - 152 = -22*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -291, -1056, -2329, -4104, -6375, -9136, -12381, -16104?\n\"Answer: x**3 - 260*x**2 + 8*x - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from pxfndndftfnnpxppdddp.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 98410? (a) 1 (b) 0.2 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**4\/12 - f**3\/6 - 3*f + 456. Let t(a) = 17*a**3 + a. Calculate -k(n) - t(n).\nAnswer: -17*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -606 (c) -0.7364\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -1457755.\nAnswer: 1457751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 18 = -3*u - 2*u, -2*q + 21 = 5*u. What is the derivative of 16*z**4 + u*z**3 + 4 - 15*z**4 - 3*z**3 wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4637*x - 4636*x - 28 = 0, -5*g + 16 = -3*x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -43136*l + 21560*l - 591 + 21564*l. Calculate y(-49).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*z = -14, -15 = -2*o - 3*z - 2. Suppose -o*l - 28 = -q, 0*l + 22 = 4*q - 2*l. Let c = -8 + 1. Sort -3, q, c.\nAnswer: c, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330892.\nAnswer: 2, 82723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 4064635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, -68, -1, 0.\nAnswer: -68, -1, 0, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - g + 6. Let s be (-1 - 1\/(-2))*0. Let w be m(s). Let k be 2\/w - (-11)\/3. Calculate the greatest common factor of 40 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.45 + -0.15. Which is greater: o or 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23137\/10 + 2311. Calculate the common denominator of 43\/6 + (65 - 65) and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 20. Let g(n) = 1. Let h(j) = 2*j + 7. Calculate i*g(v) - h(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9792095765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5 + 1*sqrt(2057) - sqrt(2057))**2 - (5 + sqrt(425)*2)**2).\nAnswer: -1700 - 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1163*z - 19850. Give d(17).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -1415.\nAnswer: -1419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91672530?\nAnswer: 2, 3, 5, 19, 160829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 - (-2)\/(-8). Is v bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -354\/5 + 71. Let -c**3 + c - x*c**2 + 3\/5*c**4 - 2\/5 = 0. Calculate c.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/16 and 745\/(-60) + -1 + 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*z = a - 82*z - 18, a + 5*z - 22 = 0. Let n = 7 - 3. Let y = n - -11. Solve w = -a*w + y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 494497, 494503, 494517, 494539?\n\"Answer: 4*o**2 - 6*o + 494499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*x + x. What is the least common multiple of (-17)\/x + 6\/(-9) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160906 is divided by 196.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:20 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.0442 - -18.2755. Let x = t + 0.1787. Let s = x + -8.409493. What is s rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5463313 - 32?\nAnswer: -5463345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 4:59 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7))**(-2\/9)\/((z\/(z\/z**8)*z*z)\/(z*z**5)))**(-1\/7) assuming z is positive.\nAnswer: z**(256\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 246, 564, 786, 864, 750, 396, -246, -1224?\n\"Answer: -8*m**3 + 374*m - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 6, 4*s - 66 = -2*i - 40 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*u + 57*u - 8883 - 14533 = -7456 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 49167213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 + -11)\/(-159*7\/(-4127)). Let d = f - 35\/53. What is the common denominator of d and -10\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*(-8)\/(-6). Suppose 4 = 2*n - d. Suppose 2*m = -2*y + 5*y + 31, 2 = m + n*y. Solve 5 = 2*k + m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 19*a. Solve -o = 5*c + 7 + 6, -o - 4*c - 11 = a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 6540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58879691 to the nearest integer?\nAnswer: 7673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(-12)*(-105)\/2. Suppose -67 = 4*u + 301. Let c = u + m. Calculate the common denominator of c and -121\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2476*q*x**4 + 3*q*x**3 + 68*q + x + 155 with respect to x.\nAnswer: 9904*q*x**3 + 9*q*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189800 and 66430.\nAnswer: 1328600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5 - 75 = 0. Suppose 10*t - 68 = j*t. Calculate the highest common factor of 85 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -181*z**2 + 16*z - 8. Let v = -26 - -5. Let w = v - -5. Let s be p(w). What is s rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 4*s + 5. Let h be (12\/15)\/(4\/(-10)). Suppose 2*g - 2*r - 8 = -20, 3*g - 2*r = -15. Let k be (h - (-11)\/3)*g. Determine o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*4\/1. Let i be 2 + (-15)\/3 - -17. What is the least common multiple of b\/7 - (-200)\/i and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((-5*(0 + sqrt(176)) - sqrt(176)) + -3)*4 + -5)*1 + 4)**2.\nAnswer: 14592*sqrt(11) + 406948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v\/v**(-2\/67))*v**23 assuming v is positive.\nAnswer: v**(1472\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 21\/7*1089\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2969 + 2993. Solve 9*g - 6 = -b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 7. Let n(f) = -f + 0*f**3 - 2*f**2 + f**3 - 4*f**2 - q*f**3. Let g be n(-6). Solve -5*s - 4 - g = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l - 955794 - 281781 = 1058185. What are the prime factors of l?\nAnswer: 28697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3 + 3)*(-817 + 818 - 7*x - 2*x).\nAnswer: -9*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -406, -608, -810?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 66. List the prime factors of v(-12).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2652 - 2873. Let r be (-66)\/456 + ((-2)\/8)\/(-1). Which is the biggest value? (a) 5 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7695\/228 - 35)*-1*2\/20?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 171. Let d(v) = -2*v - 169. Determine 5*c(b) - 4*d(b).\nAnswer: -2*b - 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 16*l**2 - 13*l + 32. Let g be (5 + (-15)\/6)*-6. Let n be v(g). Solve -1 = -3*u + n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191497331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 + 283. Let t = u + -134. Let r = t - -34. Solve 2*w - 7*w - 5 = 0, r = 2*g - 2*w + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 0 - (1 - -11)) + 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 6 + (9 - (11 - 4) - 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 5:57 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-98)*(-455)\/(-195)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8733, -13, -2, 0.3.\nAnswer: -13, -2, 1\/8733, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 2*m**2 + m - 2*m + 2*m - 4*m**2 + (2 + 2*m - 2)*(m + 0*m + 0*m))*(37997 - 37997 + 97*m**2) to a + n*m + f*m**2 + j*m**4 + g*m**3 and give j.\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4380 (b) -75.8 (c) -0.5 (d) 0.4 (e) 2 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 334983146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -25, -23, -0.053, 0.5, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*o = 2 + 7, -6 = -2*o. List the prime factors of -1*(w - 0) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -2\/13, 21\/2, 1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27\/35 + 4\/7. Sort -0.04, 0.08, g, -0.1.\nAnswer: g, -0.1, -0.04, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86121035 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 412514 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: Solve -5 = -3*i + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7) - (-580)\/70. Let h(v) = 4*v - b*v + 15*v**2 - 28 - 6*v + 20*v. Is h(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00153107 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w - 106. Let j(h) = -2*h - 53. What is 3*a(z) - 5*j(z)?\nAnswer: -2*z - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294279 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + 7 + 23 + -41 + 19.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1420, 1410, 1398, 1384, 1368?\nAnswer: 1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3984 = 162*w - 35*w + 39*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 3. Let w be d(2). Solve -w*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 970*r**2 - 8*r + 13. Let g be t(2). Suppose -149 - g = -11*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 7*q**2 + 2*q**2 - 1 + 3*q**2 + 2*q**2 - 5742*q.\nAnswer: 4*q**2 - 5742*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4419 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 6 = 4*y, y - 6*n + 2929 - 2942 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -268 + 292. Is 28 a factor of 0 - 677\/(-3) - f\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - k = -2, -y = 2*k - 2320 + 2316 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + 16 = 0. Suppose -2*k - 7 = -1. Let n = k + o. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-13) + 4*(-142)\/11804. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3735555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653264 a multiple of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133310 - 3033?\nAnswer: 130211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885673?\nAnswer: 67, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-15)*6\/(-16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {d: 4, t: 1, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 67.290345 seconds?\nAnswer: 0.0186917625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -53.5. Sort -4, b, 0.2 in increasing order.\nAnswer: -4, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (4 - (-5 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/10, -1\/7, 1\/14, -0.5, 1.4?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/15 + (-4)\/10. Let l = p - -26. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 2*t**2 + 2*t - 6. Suppose -5*i + 2 = -13. Let g be (i - 2) + (-2)\/(-1). Does 4 divide r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*o**2 - 4718*o**2 - 28482*o**2 to the form z + u*o + l*o**2 and give l.\nAnswer: -33171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 - 3*o + 1. Let s(b) = -2*b**2 + 2*b - 1. Let p be 4\/(-10)*15\/(-6). Let q be (3 - 6) + p + -1. Calculate q*r(w) - 4*s(w).\nAnswer: -w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 405930.39086 and 0.4.\nAnswer: 405930.79086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) - 16\/7. Let g(q) = 3*q + 2. Suppose 2*b + 254 - 236 = -4*b. Let l(f) = -3*f - 1. Give b*l(i) + d*g(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1047 + 104*j - 1047.\nAnswer: 104*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-130)\/(-6))\/((-6)\/(-36) - 0). Suppose -62 - 3 = -l + 4*d, 0 = -2*l - 3*d + a. What are the prime factors of l?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -120. Suppose -3*t + t - 5*a = -34, -5*t + c = -3*a. Suppose -4*p + t = 6. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 3 (b) 0.1 (c) -0.04 (d) -2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*f - 15*f + 21*f + 3*f to d + t*f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {k: 1, e: 2, o: 6, m: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 1, -108, 0 in decreasing order.\nAnswer: 1, 0, -50, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000561457 rounded to seven dps?\nAnswer: 0.0000561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 102 = -342. Suppose 4*x - k = x. Let d = x - 22. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2551860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 1 + 3*c - 4*c)*(-2 + 4 + 3 + 0 - 1 + 2 + (-3 + 2 - 1)*(5 - 4 - 2) + 71 + 112 - 55)*(2 + 1 - 5)*(-5 - 2*c**3 + 5).\nAnswer: -1088*c**4 - 544*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1452 = 8*m - 1660. What is the remainder when 306 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 2. Let a be d(-5). Suppose r = -2*r - 4*k + 66, 0 = a*r - k - 66. Calculate the greatest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188 + 101. Let i = 89 + j. Solve b + 1 = -3*w, i*w = -b - 4*b - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 6*b + 28*b + 250 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 3, 18, 1\/5, -4 in decreasing order.\nAnswer: 79, 18, 3, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one fifths of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 3*v**2 - 2*v - 2. Let l(x) = -x**3 + 8*x**2 - 7*x - 10. Let s be l(7). Let q = 12 + s. Calculate t(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419615 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1458 - 14563\/10. Let c = 71\/30 - s. Factor 0 + c*h - 1\/3*h**2.\nAnswer: -h*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -5. Which is the nearest to m? (a) 2 (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 + (-5 - -4 - -3) - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r + r**2 + 4*r - 2*r**3 + 4*r + 5*r**3 to the form v*r**2 + c*r**3 + m*r + f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9038764909 + -122.0961240791. Let x = i - -124. Round x to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 874, 3438, 7724, 13744, 21510, 31034, 42328, 55404?\n\"Answer: 2*h**3 + 849*h**2 + 3*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + s + 148*s**3 + 108.\nAnswer: 148*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6687, 3, 57 in descending order.\nAnswer: 6687, 57, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 - -74. Let s = b - -22.999981. What is s rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 679, 1392, 2143, 2944, 3807?\nAnswer: 4744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2165 divided by -6.\nAnswer: 2165\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s**4 + 37*s**3 - 37*s**3 + (0 + 0 - s)*((-1 + 1 - 2*s)*(1 - 2*s**2 - 1) + 2*s**3 + 4*s - 4*s + s - s**3 - s).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 2\/5, 0.1, 3\/5, 0.11 in decreasing order.\nAnswer: 3\/5, 2\/5, 0.11, 0.1, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 15) in base 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 791*w - 735*w + 1427*w)*(-8*w + 0 - 2 + 0*w).\nAnswer: 792*w**2 + 190*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o + 3*o. Let l(q) be the first derivative of -1 - 1\/5*q**5 + 0*q**4 - 1\/2*q**o + 0*q**3 + 0*q. Find the second derivative of l(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 18 = 0. Suppose -t = -p*t - 25. Let n(w) = 35*w**2 - 4*w - 6. Is n(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*a + 165, -5*f = -a + 4*a - 132. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 11*k = 420. Suppose z = j + 4*z + 40, -5*j - 3*z = k. Is 11 a factor of -1 + j\/(-1) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - m + 12*m**2 + 2*m. Let t be o(-1). What is the highest common factor of t and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -4, 1, 159, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbwwbqwbwbbbw. Give prob of sequence wb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 95 = 2*v - 89, 0 = -p - 2*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -290092*r - 2682446 wrt r?\nAnswer: -290092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 568230166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 4. Let d be n(10). Let y be (4\/6)\/(4\/d). Let a be (2\/(4\/42))\/1. Solve -h = h - 6, y*i = -3*h + a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.605718m to millimeters.\nAnswer: 605.718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3098349 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + 2*x**2 + 4. Let t be w(-2). Let z be (-1)\/((12\/16)\/(6\/t)). Solve -z*l + 4 = -6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1933073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11722 - 8910. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 96*b + 1608. Calculate v(-17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120212149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22232002 + 0?\nAnswer: -22232002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2815370 and 340.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/9 and (2 + (-29)\/11)*7?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -19*c - 55. Let j(q) = -38*q - 128. Let m(a) = 6*j(a) - 11*u(a). Calculate m(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2, -0.4, 3, 5 in ascending order.\nAnswer: -0.4, -0.2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + -0.12. Let u = k - 1.9. Which is the smallest value? (a) 0.1 (b) -2\/21 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 440.0000011542 + -440. What is b rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from bbbbssubsuupcssbpcq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*l + 132*l - 24*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6167 - 0.3833. Which is the second biggest value? (a) -33\/4 (b) 3 (c) w (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/(-124)*(-4)\/12\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 104*x**2 - 102*x - 1383. Let l be a(105). Which is smaller: -1070 or l?\nAnswer: -1070","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*z - 24 = 0, -z - 1 = -3. Let s be (-21)\/c - (-10)\/(-40). Put s, -3, -1 in decreasing order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-560)*35\/(-75))\/(905\/(-150) + 6)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1758745 > -1758747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**9*b*b)\/b)\/b**5)**(-14) assuming b is positive.\nAnswer: b**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**4\/4 + 7*l**3\/4 - 3*l**2 + 32*l. Determine a so that y(a) = 0.\nAnswer: -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 29 = 3*w - 12, 3*w = 4*a + 40. Let n(x) = 87*x + 18. Calculate the smallest common multiple of n(0) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 0\/(-3) - 3. Suppose -d*x + 31 = -p, -5*x = -0*x - p - 76. What is the smallest common multiple of x and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6 + 0*a**3 + 3*a**3 - 2 - 1. Suppose j = -4 - 2. Let w(k) = -3*k**3 - 4. Let z(b) = j*p(b) - 5*w(b). Differentiate z(x) with respect to x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186149 is divided by 23238?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211237573?\nAnswer: 19, 83, 133949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.1 + -6. Put s, -2, 0.8 in descending order.\nAnswer: 0.8, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 12:32 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 x when four letters picked without replacement from {k: 1, x: 19}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20122191?\nAnswer: 3, 37, 60427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*p - 0*p. Suppose -2*c + p*c = 8. Let y = 0 - -2. Sort 3, c, y.\nAnswer: y, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -35*k**5\/3 + 1361*k**4\/3 + 65*k**3 - 1517*k**2\/3 - 160*k\/3 + 52 = 0.\nAnswer: -1, -2\/5, 2\/7, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/5 - 204*v**3\/5 + 21638*v**2\/5 + 204*v\/5 - 21637\/5 = 0. Calculate v.\nAnswer: -281, -1, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 23*d = 3*l + 14, -3*l + 12 = 0. Solve 0 = 2*x - d*x + 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 0.3 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*k + 24 = 18, 0 = -k - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6351463 is divided by 635134.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193345309 to the power of 1\/2, to the nearest integer?\nAnswer: 34545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/8697 and 1\/604107.\nAnswer: 7853391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcvqnnncnbkvnvvvq. Give prob of picking 2 c and 1 k.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 33*v - 1054. Give a(32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d - 3*f + 8, 20 = d - 5*f. Suppose -5*z + d + 10 = 0. Let t be (-10)\/(-4) - 2\/4. Solve 2*b = 3*y + z*b - 1, -3*y = 5*b + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7999285 and 12570305.\nAnswer: 87992135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 8. Let y be x\/(-4)*-2*-4. Solve y*r - 4 + 0 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60.225 + 60. Round n to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 7 = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021320919.\nAnswer: 127, 8041897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p**26*p)\/(p*p**(-2\/9)))\/(p\/(p*p*p*p\/p**(3\/8)*p)*p*(p*((p\/p**4)\/p)\/p*p)\/p) assuming p is positive.\nAnswer: p**(2581\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 22838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 39 - 33 - (-2 - 0 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/8*-2*(-4)\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**5 - 565*a**4 + 14485*a**3 + 83485*a**2 + 104430*a = 0.\nAnswer: -3, -2, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198060 by -39612.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*m = -2*x - 13990, 0 = -4*m + 4*x - 13960. Is (-3 - m\/(-6))*(3 - 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192 times 39\nAnswer: -7488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-76)\/(-18) + (-10)\/45. Suppose 148 = s*d + 5*u, 0*d + u = -d + 36. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136998?\nAnswer: 2, 3, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115627 is divided by 2988?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*p + 5*n = -184*p - 30, -p = -n - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u\/(u*u**(-3\/8))))\/u*u)*u)**(3\/8)*(u*u\/u**(-8\/15))**19 assuming u is positive.\nAnswer: u**(46703\/960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17019, -17020, -17021, -17022?\n\"Answer: -y - 17018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, 24, -3, -711 in ascending order.\nAnswer: -711, -29, -3, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 29*l**2 + 64*l - 2601. Give p(28).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 2. Let m be l(-1). Let u be (m*(-2 - -4))\/(-7). Which is smaller: u or 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 24\/953?\nAnswer: 24\/953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1567?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18596 divided by 4649.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 12) in base 5?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t + 6. Let q(j) be the third derivative of -j**4\/24 + j**3\/6 - 37*j**2 + 4*j. Calculate 5*q(z) - v(z).\nAnswer: 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*i)*(7*i - i - 2*i) - 3*i**2 - 2 + 2 to h*i + t + x*i**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*u - 371*u - 4144 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (10 - (-12 + 6 + 9)) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7351408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3 + 51\/(-9). What is the units digit of 2\/(((-10)\/38)\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggerggsrgrgrge. What is prob of picking 2 s, 1 r, and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 7 = -2*u - 2*b, u - 3*b + 5 = 0. Calculate the greatest common divisor of u and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1345 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 8*u**2 - 4*u + 15. Suppose -833 + 602 = -33*w. Determine t(w).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 18. Let q be d(-19). Let i(s) = -s**3 - 3*s**2 + 6*s + 2. Let v(u) = u**2 - 1. Let y be (-50)\/(-10) + (-1 + 0)*8. What is q*i(z) + y*v(z)?\nAnswer: z**3 - 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m**3 - 4*m**2 - 2. Let n be b(-2). Let x = n - 68. Let w(s) = -6*s + 3*s**2 - 2*s**2 + 4 - 2*s**2. What is w(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 - -7 - 2\/2. Let p = 33 - c. Let b = -14 + p. Sort 2, 5, b in descending order.\nAnswer: 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3667 + 21907\/6. Calculate the common denominator of 91\/6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 - 5*k - 8. Let g(t) be the third derivative of t**5\/30 + t**3\/6 - 4*t**2. Let n be g(2). Let c(r) = -r**2 + r + 2. Give n*c(v) + 2*j(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 8) to base 3.\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 420653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-198) - (-108)\/11. Find the second derivative of 2*d + 6*d**3 - z*d**3 - 6*d wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b76e (base 15) in base 4?\nAnswer: 21132110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + 1*sqrt(36) - (sqrt(8)\/sqrt(2)*3 - sqrt(4)))\/(sqrt(16)\/sqrt(2) + sqrt(2) - sqrt(150)\/sqrt(3)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1509367 divided by 1?\nAnswer: -1509367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 14*v + 17. Give y(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170 - 168. What is the second biggest value in n, -2\/7, -3\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7511073mm in micrometers?\nAnswer: 751.1073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/142 and 58\/355.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1644\/30 - (-56 + 112)) + (-1532)\/(-10)?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12*d. Let k(p) = 3*p. Let b(v) = 4*i(v) - 15*k(v). Let j(c) be the third derivative of -2*c**2 + 1\/60*c**5 + 0*c**3 + 0*c + 0 + 0*c**4. Give b(j(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3 - 38) + 1 + 145 + -185 + 33.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 11:37 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34320413202 + 10?\nAnswer: -34320413142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (347\/(-2))\/(3\/(-324)*-3). Let h = 10153 + w. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36.80675 - -0.07675. What is f rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 - -1) + 13 + -12 + (-136 - -108)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -5 (b) 5 (c) 0 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192230 is divided by 161.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 + -156.2. Let c = t - 14.681. Let s = c + 11.981. Round s to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 95, 6, -5\/2, 4, 0.04, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 423*q + 1017. List the prime factors of y(6).\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8200274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9090717 and 129?\nAnswer: 390900831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 49 - 49 + 11*g as r*g + o and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, x: 6, s: 3}. What is prob of sequence xo?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56183 - -5656?\nAnswer: -50426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 + -19.4. Let g = i - -15.6. Let w be ((-8)\/(-12))\/((-2)\/3). Which is the nearest to w? (a) -0.5 (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444604 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183 by 5.\nAnswer: 183\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-105))\/((-14)\/(-315))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:40 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v + 8. Calculate j(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19503*u**2 + 2 + 19501*u**2 + 4*u**3 + 9.\nAnswer: 4*u**3 - 2*u**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -371 + 370. Which is the second biggest value? (a) -38 (b) i (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 - 12*c - 13*c + 24*c - 15 as p + x*c + h*c**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716969.\nAnswer: 11, 65179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2489 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -57553507\nAnswer: -5\/57553507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154712315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3 + 2394674*o**2 + 7184008*o + 4789336 = 0. What is o?\nAnswer: -1197334, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.8 + -7. Let m = 0.0328 - -2.1672. Let c = q + m. Put -2\/7, c, -0.5, -0.4 in increasing order.\nAnswer: c, -0.5, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46969 in -6, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -69b95?\nAnswer: 69b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299123, 598252, 897383, 1196516, 1495651, 1794788?\nAnswer: 2093927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285\/(-12)*(-228)\/30*118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 74 = 2*y, -6*v + 136 - 25 = 3*y. Sort -5, 1, 2, y.\nAnswer: -5, 1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 24. Let c(h) = 7*h + 1. Let u be c(r). Let l = u - -32. Solve 21 = 5*k - m, -4*k = -0*k - l*m - 21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104*-42*24\/2016.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 114 = -1542. Suppose -56 = -u + w. List the prime factors of u.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 20 - (147 + -133)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + 12 + (-650 - -759).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/60 - 13*r**4\/24 + 3*r**3 - 8*r**2. Let l be i(-14). Differentiate 32 + 7*d**4 - 7*d**l - 18*d**4 with respect to d.\nAnswer: -72*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 1216846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {t: 1, y: 2, w: 1, q: 3, k: 3, b: 8}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 440 - 403.5. Let h = d + -35.5. What is the smallest value in -4, h, -1\/4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 5*p - 4. Suppose 0 = -4*g - 9*j + 4*j + 16, -g - j = -4. Let f be -3*g\/(-6)*1. Suppose 2*v + 2 = -f*k, -10 = -2*k - 4. Calculate c(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5))**(-33)\/(w\/(w\/(w**1\/w)*w))**(-41))\/((w\/w**(-1))**(-1\/13))**(5\/22) assuming w is positive.\nAnswer: w**(-19852\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6583 is divided by 3148.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/(24563\/(-462) + 53).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*j + 370694 = -1101*j - 381*j - 4250*j for j.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*g + 74*g - 327*g)*(0*g - g**2 + 0*g)*(0 + 0 - 25*g).\nAnswer: -2525*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/((-216)\/(-1005)) - -8. Let c = j + -9959\/200. Let b = 1.5 + -0.5. Which is greater: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c**3 + 4*c**3 + 3*c**2 + 0*c**3. Let l(r) = 4*r**3 - 4*r**2. Give 3*l(v) + 4*u(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let i(s) = -s**y + 4*s**2 + s**2. Let k(o) = 16*o**2 - 9*o**2 + 3*o**2 - 3*o**2 - 6*o**2. What is i(k(z))?\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrrrrrrrrrxr. What is prob of sequence xrrx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-14)\/(h*h*h\/(h*h\/(h\/((h**(-1\/9)*h)\/h))))*h**6*h**2 assuming h is positive.\nAnswer: h**(-73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-14)*(2 - (-13)\/(-1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y + 19. Suppose -v = 3, -j - 3*j - 57 = -v. Let x be 3 + 50\/j + 52\/(-6). What is the tens digit of i(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 8*n + 142 = -63*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6208, -6213, -6218?\n\"Answer: -5*d - 6203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/609 and -137\/864.\nAnswer: 175392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1641032 and 29\/22.\nAnswer: 18051352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4476 - 46?\nAnswer: 4430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-22))\/(-1))\/((-38271)\/127570)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (-5)\/2)*20. Let s = q + 12. Put -0.5, s, -2\/5 in ascending order.\nAnswer: -0.5, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97478 and 6804794?\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2. Let p(m) = -3*m**2 + 13*m - 6*m - 7*m. Calculate p(s(k)).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -3*x - 3, 4*c = -x - 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 362, 1484, 3352, 5966, 9326, 13432, 18284?\n\"Answer: 373*d**2 + 3*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3 - (-2 - -6))*6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6072, -6073, -6074, -6075?\n\"Answer: -s - 6071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 0.0649347.\nAnswer: -0.3896082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243391 is divided by 142.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -57, -78, -99, -120, -141?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8682 + -8681. Suppose 5 = -7*k + 6*k. Put v, k, 5, -12 in ascending order.\nAnswer: -12, k, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**3 - 4*q**2 - 2*q + 3. Let a be s(10). Let f = a - 1504. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**3 + 114*j**2 - 3*j - 128. Calculate p(-19).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (sqrt(1224) - (sqrt(1224) + (sqrt(1224) - (sqrt(1224) + -1*sqrt(1224)*-1 + sqrt(1224)))) - sqrt(1224))\/(-1*sqrt(18)*2).\nAnswer: -7 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let t(v) = -11*v + 144. Let f be t(13). Solve -3*y - p + 0*p = 0, -j*y + f = p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -827, -4, -6 in decreasing order.\nAnswer: -1, -4, -6, -827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m**3 + 8*m**2 + 8*m + 6. Let o = 12 - 9. Let t(a) = a**3 + a**2 + a. Let h(k) = o*n(k) - 24*t(k). Differentiate h(s) wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:27 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2749.905929 and -0.00924.\nAnswer: -2749.915169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a + 140*a = -71*a - 182*a + 40948 for a.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + l - 3*j - 24, 0 = -5*l - 2*j - 23. Let r = -0.3 + 0.1. Let w = 3.9 + -4. Put r, w, l in ascending order.\nAnswer: l, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -31. Let m(p) = -9*p - 2. Let v(u) = u. Let r(i) = o*m(i) - 5*v(i). What is r(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41994 and 31383.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(-5*q + 2*q + q)*(-2*q + 2*q - 3*q)*(0*q + 0*q - 3*q) as r*q**2 + c + z*q**3 + n*q and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*u + 639*u - 328*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8512 in -4, 1\/7, -31\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -50*g - 13. Let m(f) = -3*f**2 - 5*f. Determine m(d(h)).\nAnswer: -7500*h**2 - 3650*h - 442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/67)*z*z*z\/(z\/(z**(1\/10)\/z)*z*z) assuming z is positive.\nAnswer: z**(87\/670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18694?\nAnswer: 2, 13, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k + 1. Let s(u) = u - 5. Let i be s(6). Let q be r(i). Let f = -11 + q. Solve -h - f = 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 970732006 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 89 = 36. Let w = -75 + 221. Let l = w + -21. Calculate the highest common factor of l and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/21*(-19 + -11). Let d(g) = -g**2 - 6*g - 5. Let w be d(-4). Which is the third biggest value? (a) -0.2 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15077922 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1480 = -294*c + 284*c. What is the remainder when 299 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/66)\/(1920\/528).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 8. Let c be n(-5). Is (-497)\/(-21) + 1\/c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2168*y**2 + 2190*y**2 + 2160*y**2 - 6531*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 12*w**2 - 329*w + 1132. What is c(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 4*i**2 - 53*i - 409. Determine w(-15).\nAnswer: -3889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = x + 28*k - 66, 222 = 4*x + 2*k. Calculate the remainder when 471 is divided by x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2007 = -4*h + d, -5*d = 5*h - 7*h + 981. Let g = 1674 - h. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = 12*k - 2*k. What is the remainder when 19 is divided by 3*k\/(-26) - (-4)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:30 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 127, 119, 111, 103, 95, 87?\n\"Answer: -8*x + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1 + 9. Let w(d) = -d**3 - 11*d**2 - 4*d + 16. Let b be w(-4). What are the prime factors of (66\/g)\/(6\/b)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -421786 or -421788?\nAnswer: -421788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1011202.39 to the nearest ten thousand.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p**2 + 11*p + 4. Let t be m(-3). Suppose 20 = t*f - 64. Let z be 0 - ((-4)\/2 - 2). Solve -z*u + 4*s = 0, -u - f + 32 = 3*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12538009927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 5*l = 25. Suppose 4*i = 3*n + 1, -5*n + l = 4*i + 28. What is the units digit of (-6)\/(1*i\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119185012.\nAnswer: 2, 29, 83, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26285?\nAnswer: 5, 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b**2 - 7*b**2 + 5*b**3)*(-4 + 6 - 4).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 760278 divided by -6.\nAnswer: -126713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*j**3*l**2 + 136*j**2*l + j*l**2 + 48454*l**2 wrt j.\nAnswer: 147*j**2*l**2 + 272*j*l + l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from irlrlyczy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpop when four letters picked without replacement from {j: 1, i: 1, p: 2, o: 11}.\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -2 (b) 3\/5 (c) -1 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 9*v**2 - 5*v + 9. Let g be j(-8). Let a = g + 11. Is (1\/4)\/(a\/(-1264)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04079582 and 4.4?\nAnswer: -0.179501608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*p**4 - 4*p**3 + 38*p + 2.\nAnswer: -1176*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/245 - 2719\/1960. Find the common denominator of (-18)\/(-45) + 114\/(-3960)*46 and t.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47464136?\nAnswer: 2, 17, 263, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -15 - 0 - (84 - 6 - (12 - 29))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 26*q - 352. What is the second derivative of -12 + 10*j + 17*j**2 - q + 24 wrt j?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*b - 6564 + 6571, 4*b = -5*o - 35 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*p + 10640 = 70*p for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 o, and 1 z when four letters picked without replacement from vovvzovzvzvzrvvvvzv?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4939 - 759.9061. Round n to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + -2.8. Let c = -5.2 - f. Let q = 3.8 + c. Does 2\/7 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 559, 547, 523, 481, 415, 319?\n\"Answer: -v**3 - 5*v + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 3*d + 9)*((0 - 3 - 6)*(0*d - d + 2*d) - 5*d + 3*d + 3*d)*(0*d + d + 0*d).\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {e: 4, m: 3, i: 2, c: 1, o: 6}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 13515*r**2\/2 + 81028*r + 135030.\nAnswer: (r + 2)*(r + 10)*(r + 13503)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 486 = -5*m. What is the remainder when m is divided by ((-24)\/16)\/(5 - (-333)\/(-66))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 85610 divided by 85610?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a factor of 156379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9407043 to the nearest integer?\nAnswer: 3067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/(h\/h**6))\/(h*h**(-7)*h*h**(-5)\/h) assuming h is positive.\nAnswer: h**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a5b56b8 - -5?\nAnswer: -a5b56b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 44*d**2 + 191*d - 129. Calculate v(-48).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 11 = -p - 2*p, 0 = 3*p + 3*k - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30982, -61968, -92954, -123940, -154926?\n\"Answer: -30986*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25185926?\nAnswer: 2, 12592963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 2. Let t be 5 - (0 + 2 + w). Suppose -3*d + 2*g + 21 = 0, t*g = g. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -47 + 23 - (3 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 258 (b) 3 (c) -19 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 + 4276264276.\nAnswer: 4276264278.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/7))\/p**1)\/(p**(-1\/5)\/p**(2\/9))*p**(-2\/3)*p*p*p**(6\/5)*p*p**5*p*p**(4\/7) assuming p is positive.\nAnswer: p**(3406\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*x + 13 = 0, h = 23*x - 22*x + 3 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1423 - -1427. What is the closest to -6 in 2\/17, 5, 1\/3, l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r*(r*r\/r**(-10)*r)\/r)\/r*r)*r)*r**(1\/4))**(-28) assuming r is positive.\nAnswer: r**(-343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053600 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -376, -873, -1576, -2485, -3600, -4921?\nAnswer: -6448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let j(g) = 72 - 4*g - 72 - 6*g**2 - 8*g. What is j(r) - 12*q(r)?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -27. Suppose -4*w + 12 = k*w. Suppose 0 = w*f + 443 - 2605. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -31*q - 2. Let h(f) = 6*f**2 - 30*f + 45. Let u(x) = -2*x - 34*x**2 + 6*x - x - 6 + 33*x**2 + x. Let s(n) = 2*h(n) + 15*u(n). Give a(s(w)).\nAnswer: 93*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -6.8548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -928 equal to -929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784820 is divided by 14006.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 10:47 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 278*n - 2784. Give x(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3157.42 micrograms to tonnes.\nAnswer: 0.00000000315742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7000 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 143537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32696, 130859, 294504, 523637, 818264, 1178391, 1604024, 2095169?\nAnswer: 2651832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -71*k**3 - 10 + 67*k**3 + 22 - 5*k**2 + 11. Let u(f) = -f**2 + 4*f**2 - 12 - 3*f**3 + 5*f**3. Let y(g) = 3*d(g) + 5*u(g). Differentiate y(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/15 - (-136)\/170. Solve -21*k + 20*k + x = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 10:55 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1023 and 55\/47697?\nAnswer: 16264677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 9. Let p be f(-11). Suppose -d = -p*k + 5, 4*k + k + 5 = -d. Suppose k = -s + 8 + 35. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*g - 24, m + 4*m = -4*g + 30. Suppose -2*d = -g*d + 2*o - 45900010, 2*d - 2*o = -30600010. What is d rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2507.\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 7. Is x(-9) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60720 rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 10*v - 179 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1784, -10.7, -5, 2\/13, 0 in decreasing order.\nAnswer: 2\/13, 0, -5, -10.7, -1784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**2 + 9*l. Let o be 2\/6 + 7\/((-105)\/(-40)). Suppose -16*i + o = 51. Let j(q) = 4*q**2 - 5*q. Calculate i*t(d) - 5*j(d).\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595473431?\nAnswer: 7, 109, 111491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002065 to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 2*l**2 + l**2 + (l - 3*l + 0*l)*(2*l - l + l) + 0 - 39*l**2 + 38*l**2 - 6 - 3*l**2 + 4*l**2 + 0*l**2 as o*l**2 + z*l + n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37494297 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oko when three letters picked without replacement from {u: 2, v: 4, l: 4, o: 3, k: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 10 - 6. Let q = y + 11. Let m = -1221 + 1224. Solve q = -m*g - 4*s, -2*g - 3 = g + 3*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458 smaller than 279665\/192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**5 + 6*t**5 - 7*t**5 + (0*t**4 + t**4 - 2*t**4)*(t - 2*t - t).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 - 3)*(0 + 0 + 3*p) + 2*p - 3*p + 4*p)*((-39 + 39 + 8*p)*(-1 + 1 + 1) + (-3*p + 4 - 4)*(-5 + 3 + 1)) in the form u + o*p + t*p**2 and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/54 - 2*o**3\/27 + o**2\/9 - o. Factor w(i).\nAnswer: 2*(i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00851280353 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6126035901 - -0.272.\nAnswer: 6126035901.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16054040 (base 7) to base 9\nAnswer: 2811338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 6*l + 1. Let t be y(6). Let d be (0 + t)*24\/8. Factor -7\/4*u**d - 3\/4*u**4 + 0 - 5\/4*u**2 - 1\/4*u.\nAnswer: -u*(u + 1)**2*(3*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1008)*-1 + (sqrt(7) - (0 + sqrt(7))) + 1 + -5 + sqrt(112))**2*-4.\nAnswer: -1796 - 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1881 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3299*j = 4062*j + 52647 for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112*m**2 + 3771*m**6 + 181*m**3 + 339*m**2 - 181*m**3 wrt m.\nAnswer: 452520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 50*w**2. Let v(c) = -140*c**2. Let t(q) = -17*i(q) - 6*v(q). Let k(p) = 12*p - 3. Calculate t(k(m)).\nAnswer: -1440*m**2 + 720*m - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(2 + 1 - 1)*(-17 + 17 - 33*q) + (-2*q + 4 - 4)*(51 + 9 - 12) to v + o*q and give o.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 205a80 + 5?\nAnswer: 205a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -10185 (c) 4 (d) -1\/4 (e) 73\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + v + 4*v)*((2*v - 2*v + 2*v)*(-2*v - v + v) - v**2 - 6*v**2 + v**2 + 4*v**2 - v**2 - v**2).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 84 = 3*d. Let i = 30 - d. Calculate the highest common factor of i and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -450056 - 3?\nAnswer: -450062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -3. Suppose -6*p - 298 = -s*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70696, 70714, 70740, 70774?\n\"Answer: 4*h**2 + 6*h + 70686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:19 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -474 - -919. Suppose -y*k = -449*k + 8. Sort -18, -1, k in decreasing order.\nAnswer: k, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10 = 8. What is the remainder when (-2)\/c + 115\/9 is divided by (3 + 22\/(-6))*15\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-62)\/(-217))\/(1\/(-7)))\/(4\/(-127934)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -51*p + 3665. Give l(65).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4484 bigger than -4484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 3. Let f be (-2)\/17 + (-5 + 53\/17 - 1). Let s(j) = 15*j**3 + 25. Calculate f*s(a) + 25*l(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -267\/98 - -109\/49. Which is bigger: n or 7393?\nAnswer: 7393","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112408797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10)*2*96\/(-720).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s - 220 = -12*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 56009 (base 11) to base 6\nAnswer: 1423532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6*4*-3. Let h be v*(0 - (-3 - -4)). Let d be (2 - h)*7\/14. Solve -2*o - d = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 888030 and 575?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 2261770665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4058948 from -318894.75.\nAnswer: -4377842.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -211901, -2\/5 in descending order.\nAnswer: 5, -2\/5, -211901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*n - 2. Let g(z) = 3*z + 13. Let u be g(-3). Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 m, and 1 l when four letters picked without replacement from mlhellhmml.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2909870 is divided by 415669.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53222*n**2 - 72537*n**2 - 101407*n**2 - 74207*n**2.\nAnswer: -194929*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 365026720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1033974*a**2 - 1572875*a wrt a.\nAnswer: 2067948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 7*r**3\/3 + 2*r**2 + 4*r - 199. Let v(u) = u**2 + u + 1. Calculate h(p) - 4*v(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7) + (5 - (4 + -9 - -8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - i + 2. Suppose -4*g + 9 = 1. Suppose -1 - 5 = -g*u. Calculate the remainder when 77 is divided by w(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -318, -293, -248, -177, -74, 67, 252?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1674 + 1724. Solve 4*u - 30 + y = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 4*i**2 - i**2)*(-34*i + 47 - 47) to m + a*i + l*i**3 + w*i**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/180 - k**5\/45 + k**4\/36 - 8*k**2. Determine o, given that v(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2648 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3\/(-6) + -1. Suppose w = -r - 4, 2 = -4*h + 2*r + 206. Is h a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 4) to base 15.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -48)*(92\/(-6) + -2). Suppose 0*k = 4*k - b. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 1. Let x be y(2). Let m(i) = i**3 - 3 - 2 - i**3 + i - i**x. What is m(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + -7.7. Let t = o + 13. What is the nearest to 1 in -2, t, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99b6bb - -a?\nAnswer: 99b709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 260 - 0. Suppose -g + 5 = -5*c. What is the greatest common factor of c and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*y - 23. What is the derivative of 10 - 38*s - 7*s**y + 35*s + 196 - 29 wrt s?\nAnswer: -21*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3 - 39\/4*q**2 + 12*q + 9\/4*q**3 = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 w when four letters picked without replacement from {b: 2, w: 8}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 20*u - 14. Let c be p(19). Suppose 4*v = -z + c, 6*v = -4*z + 4*v + 20. Put 8, -2, 0, z in ascending order.\nAnswer: -2, 0, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 60. Suppose r - z = -1. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74301702 and 24.\nAnswer: 297206808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19527 is divided by 485.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 4*m**2 - 2*m - 4. Let a be x(-4). Suppose a*p + 3*h - 34 = 0, -2*h + 18 = 3*p - p. What is the lowest common multiple of 3 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4437 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, l: 2, j: 10}. What is prob of sequence ll?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 2)*(0*d - d + 3*d) + (-1 - 2 + 2)*(-2*d - d + d) - d + 2*d + 0*d + (0 - 2 + 0)*(0*d - d + 3*d) as q*d + o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 4*t**2 + 4*t + 16. Determine u(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15*g - 9 - 10 + 4 + 21*g**3. Let x(r) = -3*r**3 + 2*r + 2. Let c(m) = -2*n(m) - 15*x(m). Let z(j) = 4*j**3. Determine 3*c(p) - 2*z(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*u + 2*u + 119*u**2 - 83 - 17*u + 11*u wrt u?\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 + -2 + -13 + 9. Let c(i) be the second derivative of 79\/48*i**s - 18*i - 13\/6*i**3 + 3\/2*i**2 + 3\/40*i**6 - 3\/5*i**5 + 0. Factor c(t).\nAnswer: (t - 3)*(t - 1)*(3*t - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1 + 42\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 - 402*m**2 + 813*m - 408 = 0.\nAnswer: -136, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 473153095 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27904457 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(50) + sqrt(40))\/(-2*sqrt(512)).\nAnswer: -3*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830383?\nAnswer: 830383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (6 + -1 - (18 + -13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/2046 and 67\/220?\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 204 - -213. What are the prime factors of c?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10*x - 1. Let z(o) = -5*o + 1. Let g(f) = 3*i(f) + 5*z(f). Let a(u) = -u**3 + 29*u**2 - 54*u + 2. Let h be a(27). What is g(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*v = 82, -2 = -5*v + 13. Let r be 20\/w - (-304)\/14. Calculate the greatest common factor of 44 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -6, 1, 24949, 4 in increasing order.\nAnswer: -7, -6, -4, 1, 4, 24949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 369396710 to the power of 1\/2, to the nearest integer?\nAnswer: 19220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 3, k: 2, u: 1, h: 3, x: 2}. Give prob of sequence hxbb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*f + 18*f + 3*f**3 + 2 - f**3 + 2*f**3 + 0*f**3 + (4*f**2 - 7*f**2 + f**2)*(-3 - f + 3) + 3*f**3 - 6*f**2 + 6*f**2.\nAnswer: 9*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6721772 to the power of 1\/2, to the nearest integer?\nAnswer: 2593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 + 161. Suppose 4*g**4 - 4*g**y + 13*g**2 + 7*g**5 - 5*g**5 - 4 - 29*g**2 - 14*g = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 14. Let l(t) = -4*t**2 + 3*t**q - 7*t**2. Let n(x) = 2*x. Give n(l(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 19, t: 1}. Give prob of picking 1 u and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 3*y + 5. Let s be p(-4). Suppose 17*t - 14*t = 6. Let x be (0 - t)*-1 + 3. Solve 0 = 2*g - x - s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -333 - 1242?\nAnswer: -2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13517839.\nAnswer: 17, 37, 21491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v + 1. Let n(h) = h**2 - 4*h + 1. Let s(t) = 3*n(t) - 4*u(t). Is 26 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 29, -2, 2, -5 in ascending order.\nAnswer: -5, -2, 1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 46613 + 389565 = 69788. What are the prime factors of m?\nAnswer: 2, 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 34\/9, -4, 102\/11.\nAnswer: -4, -0.3, 34\/9, 102\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -4, 1122 in decreasing order.\nAnswer: 1122, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -33 - -46 - 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4579116 divided by 92\nAnswer: -49773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2249.3 - 2247.3. Let d = 0 - -3. Which is the closest to 0.3? (a) d (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -5 + -1 - 4) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/9 - 1094*p**3\/3 + 2669809*p**2\/9 + 12620384*p\/3 + 133079296\/9.\nAnswer: (p - 1648)**2*(p + 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4\/7, 11\/9, -23 in decreasing order.\nAnswer: 11\/9, 4\/7, 0.5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by (50 - -3)*(1 + -2)*-1.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {f: 6, y: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*b - 75, -2*b + 0*b + 26 = 2*a. What is the greatest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564348?\nAnswer: 2, 3, 131, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, 5, -3, 6, -7, -46 in decreasing order.\nAnswer: 6, 5, -2, -3, -7, -16, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 30107 and 30089 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (875\/(-125))\/((-14)\/8). Solve z*j = -4*f, 11 + 1 = -3*f + j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.273681 days in hours?\nAnswer: 126.568344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 998*i**2*l**2 - 792487*i**2 - 835*l**4 wrt l?\nAnswer: 1996*i**2*l - 3340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338*-24557.\nAnswer: 8300266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - p - 2, 27*s = 31*s - p + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*(-9)\/90*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 98, 192, 286, 380?\n\"Answer: 94*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723388 is divided by 508.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t - 3*t)*((-3*t + 4*t - 3*t)*(-3 + 3 - 17) + 4*t - 4*t - 2*t)*(-5*t**2 + 2*t**2 + 5*t**2).\nAnswer: -320*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -429*r + 39. Let c(z) = -7571*z - 7527*z + 15141*z - 4. Calculate -39*c(a) - 4*l(a).\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*g = 10, a + 3*g + 8 = 2. Suppose h - i - 51 = -5*i, -i + 5 = a. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08031206 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -240012 (base 8) in base 3?\nAnswer: -11011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**8\/11760 + t**7\/1470 + t**6\/315 + t**4\/12 - 5*t**2\/2 + 6*t - 3. Let g(m) be the third derivative of b(m). Factor g(v).\nAnswer: -4*v*(v - 4)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136269 is divided by 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.8, -0.14272, -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 458, 1869, 4218, 7505, 11730, 16893?\n\"Answer: 469*y**2 + 4*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:24 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s = -315. Let x be (-76)\/(-7) - (-9)\/s. Let l(d) = -d + 7. Let t be l(x). What is the second biggest value in 2, -3\/8, t?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -85*l + 5. Let h(z) = -127*z + 7. Let m(w) = 5*h(w) - 7*t(w). Let u(f) = f. Calculate u(m(p)).\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*d = 106, 0 = -5*w + 5*d + 198 + 112. Solve 49 = 2*i + w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 i when three letters picked without replacement from crcccrcricr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -44*w - 52. Determine i(-4).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izwzizizzzziziizwzz. What is prob of picking 1 z and 1 w?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 1202*g**2 + 180120*g.\nAnswer: 2*g*(g + 285)*(g + 316)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -16ce?\nAnswer: -16c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywppppfkphppyffppk. What is prob of sequence fw?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*f + 15993600*a + 3*f**2 - 1202772*f - 1 wrt f?\nAnswer: -2*a + 6*f - 1202772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2123101 (base 4) to base 14.\nAnswer: 389b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/873 and -8\/1455?\nAnswer: 4365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5688 at least -5689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 10*s**2 + 11*s + 16. Let b be k(-9). Let x = b - 15990\/11. Factor -16\/11*v**2 - 12\/11 - 2\/11*v**3 - x*v.\nAnswer: -2*(v + 1)**2*(v + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 31, -1, 0.4, 26889\/5?\nAnswer: 26889\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17152 = -8*z + 6*z. Let j = z + -2055. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 + 4*y**3 + 13*y**3.\nAnswer: 22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -617 - -616.67. Let w = -0.31905 - b. Round w to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 5:35 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -41 + (9\/(-3) - 0). What is the common denominator of 67\/8 and 9\/(-12) - 89\/g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1901*u + 1013 - 269 = -1925*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 14 = 5*p, 0 = 5*n - 9*n + 8. Suppose 8*f = 7*f - p*f. Calculate the remainder when (f + 1)\/(1\/(-4 + 27)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, z: 3, w: 2, a: 7}. Give prob of picking 1 a and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyyttitiisiyyytusyyi. What is prob of picking 3 y?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x + 236 - 76 - 79 - 81)*(-2*x - x + 0*x).\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.52762 - 0.07913. What is k rounded to two decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(637) - (sqrt(637) + 0)**2) + sqrt(637))*-4.\nAnswer: -56*sqrt(13) + 2560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-289)\/663)\/(-17))\/((-8)\/72).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117403*g + 5*g**2 + 332*g**6 + g**2 - 4*g**2 - 3*g**2 + 117394*g wrt g?\nAnswer: 39840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66*(-8)\/24*(252\/(-96))\/((-6)\/(-8)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*z - 271. Suppose 2*c + c = 0. Suppose c*r + r = 26. What is the greatest common factor of r and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43567*z + 254787*z - 25675*z + 134755*z.\nAnswer: 320300*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: d7575 (base 14) to base 2\nAnswer: 1111110111000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.7 - -5.3. Let s = o - 55.5. What is the closest to -1\/4 in 2\/5, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(((b*b**(-16))\/b)\/b)\/b*b)**(3\/2) assuming b is positive.\nAnswer: b**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 122*s - 1\/3*s**2 - 11163.\nAnswer: -(s - 183)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-10))\/(90\/900) - 2. Solve q*v**4 - v - 8\/3*v**2 + 0 + v**3 - 4\/3*v**5 = 0 for v.\nAnswer: -1\/2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.84 + -0.04. Let f = -11.8 + y. Let c = -0.298 + 0.298. What is the second biggest value in f, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/2)\/3)\/(40\/(-240))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(112) - (sqrt(112) + 2))**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 2*v**2 - 10. Let p be d(-3). Let y be (p\/(2\/3))\/((-9)\/786). Let x = -33 + y. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*r - 560 = -200*r for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) 2 (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:20 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -988 + 755. Let k = m + 245. Calculate the greatest common divisor of 210 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -305197\/3 - -101734. Determine y so that 500\/3*y + a*y**4 + 200*y**2 + 0 + 35*y**3 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3767.70664 - -3767. What is a rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y - 3*y + (-y - 4*y + y)*(4 - 3 + 2))*(4 - 2*y**3 - 4).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12710.\nAnswer: 2, 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8333.0423 - -2.0423. Let b = k - -8331.006303. Round b to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.39 and 4681.3.\nAnswer: 1825.707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0 - 2\/21*v**7 - 2\/3*v**4 + 2\/3*v**3 + 0*v**2 + 14*v + 0*v**5 + 4\/15*v**6. Factor z(s).\nAnswer: -4*s*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r**2 - 52*r**2 + 27*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let z(y) be the third derivative of 41*y**4\/2 - 42*y**2 + 2*y. What is d(z(p))?\nAnswer: -984*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 52 = z + 3*x, -2*x + 246 = 2*z. Suppose -6*t + 3*t = i + 122, 3*t + z = i. Let m = t - -138. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -6, -12, 3, -5, -33 in descending order.\nAnswer: 38, 3, -5, -6, -12, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8448400 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {j: 9, p: 4, w: 4, b: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92773.2 millilitres to litres.\nAnswer: 92.7732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 97, 129, 163, 199, 237, 277, 319?\n\"Answer: n**2 + 29*n + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 58*x - 2. Let h(k) = -3*k. Calculate r(h(l)).\nAnswer: -174*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-1540)\/448)\/5*(-2)\/9.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 421 + -213. Let n = -181 + d. Suppose -k - 17 = -v, -k = -5*v + 9 + 64. Calculate the remainder when n is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(234))\/(sqrt(576) - sqrt(576)*-1 - sqrt(576)))\/(sqrt(162)*1*-5*-1) + -5.\nAnswer: -5 + sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 7 + 2)*(2*z + 4 - 4 + 2) - z + 4*z - 5*z in the form t + r*z and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z - 82*z**2 - 49*z**3 + 193*z**2 + 2 - 107*z**2 to l*z + k + u*z**2 + n*z**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 13*f**2 - 12*f + 3. Let a be v(-14). Is a >= -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210 + 117. Let g = n + 137. What is the lowest common multiple of 9\/11 - (-8)\/g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 5288828 - 5288828.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 490216 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3\/2 + 35*d**2\/4 - 25*d + 55\/4.\nAnswer: 5*(d - 1)**2*(2*d + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*v - 8 = -280, 2*v - 302 = -2*p. What is the nearest to 0.2 in 0.3, p, -3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 7*q**2 - 6*q + 2. Let l be g(-6). Suppose l*z + 5 = -3*z. Let s = 14 - z. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91631?\nAnswer: 91631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/5 - -2)*-5. Let u be (-86)\/(-6) - 1\/m. Suppose 0*h - u = -3*h + o, -25 = -5*h + 2*o. Which is greater: h or 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2186634 at most as big as -2186626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2580*s + 2338*s + 5324 = 0 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*962\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.5 - 27. Let i be 1*(-40)\/504 + (-11)\/(396\/(-8)). Put i, -5, -5\/4, a in ascending order.\nAnswer: -5, -5\/4, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342099 - 86537 = -8243*u for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 5 + 14 - 1. Let g be j(4). What is the nearest to 1\/3 in 0.5, 4, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*l - 208. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8030680 a multiple of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0*y**3 + 0 + y + 1\/4*y**4 - 1\/10*y**5 + 0*y**2. Find the third derivative of t(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -11 - (7 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/10670 and 36\/11?\nAnswer: 10670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -80 and -9322004892?\nAnswer: 9322004812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 14*m + 12. Let k be a(-15). Let j(g) = g + 3. Let q(d) = d + 3. What is k*j(x) + 2*q(x)?\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(114)\/sqrt(6)) + sqrt(19) + 0 - (((1*sqrt(19))**2*-2 - sqrt(19)) + sqrt(19)))*4.\nAnswer: 4*sqrt(19) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -1\/4, 1\/4, 24, -0.03 in descending order.\nAnswer: 39, 24, 1\/4, -0.03, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 183.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*t - 2 = 6, 2*t = 5*g - 7. Let c be 296 + (0 + 3)\/1. Suppose 0 = g*f - 94 - c. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*x**3 - 127*c**2*x**2 - 2*c*x**3 + c*x**2 - 23*c*x wrt c?\nAnswer: 2*x**3 - 254*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*f**2\/5 - 109920*f + 26220500 = 0.\nAnswer: 5725\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -10. Solve -3*k + 20 = n*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 918*f**2 + 1268*f - 2463583.\nAnswer: 1836*f + 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14444669?\nAnswer: 41, 352309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*f - 248 = -4*t - 66*f, -t = 5*f - 70. Calculate the smallest common multiple of 12 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2999?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210466394 to the nearest integer?\nAnswer: 14507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 take away 292025514?\nAnswer: -292025371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 597 - 529. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1258 - -1258. Let m = 3 + 6. Let l be (-2)\/(-3) + 48\/m. Solve z = -n - l + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-579)\/(-1544))\/((-92)\/64 + -7)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 181. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccncccccnncc?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 48028, 1\/16.\nAnswer: 1\/16, 1, 48028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2541) - -1*sqrt(2541)*-3)\/(((2*sqrt(175) - sqrt(175)) + sqrt(175))*-1))**2*-6.\nAnswer: -2178\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**3 - 6935*g**2 - 13855*g - 6925 = 0.\nAnswer: -1385, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 + 12*s**2 + 11*s**3 - 5*s**3 + 18*s**3.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -46, -72, -114, -178, -270, -396, -562?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 7*i**2 + 3*i - 1. What is x(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292855749?\nAnswer: 3, 97618583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*c = 4935715 - 4949585 for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449 - 431 = 2*i + 5*f, -23 = -i - 6*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*p - 74791 = -74727, -x = -6*p - 20 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10221 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7528886.\nAnswer: 2, 3764443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6547878 divided by 9?\nAnswer: 727542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 2*j**6\/15 - 8*j**5\/5 + 16*j**4\/3 - 47*j - 70. Let t(a) be the first derivative of b(a). What is u in t(u) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96943 less than -2.81?\nAnswer: -96945.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14618, -58357, -131080, -232643, -362902, -521713, -708932, -924415?\nAnswer: -1168018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + r - 2*r. Let x(g) = 4*g + 3. Let k(f) be the first derivative of -3*f**2\/2 - 2*f - 9. Let t(d) = 3*k(d) + 2*x(d). What is t(w(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -104481120973.\nAnswer: -104481120980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 + 7*x - 8. Suppose 4*c = 2*q + 18, 0 = -2*q + 5*c - 6 - 16. Let g(n) = n**2. Let v(w) = q*y(w) + 6*g(w). What is the units digit of v(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 9. What is the second derivative of 3*r**c - 2*r - 4*r + 5*r wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001239885 to 5 decimal places.\nAnswer: 0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 - 52*k - 5. Give a(-9).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*y = 3*y - 29, 4*y - 18 = -2*x. Sort 1, 15, x in ascending order.\nAnswer: x, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448.0459 milliseconds in minutes?\nAnswer: 0.040800765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**8\/28 + 26*p**7\/105 + 79*p**6\/120 + 4*p**5\/5 + 3*p**4\/8 + 12*p**2. Solve r(a) = 0 for a.\nAnswer: -3\/2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11\/5, 8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/2, -23, 0.3, 8, -35, 7 in ascending order.\nAnswer: -35, -23, 0, 0.3, 1\/2, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -606, -1235, -2116, -3249?\nAnswer: -4634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/2 or 23?\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3914676695 and 43?\nAnswer: 3914676652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 + 1991*c**2 - 7252455*c + 5568612048.\nAnswer: (c - 1434)**2*(c + 10832)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15303971, -15303958, -15303957, -15303974, -15304015, -15304086, -15304193, -15304342?\n\"Answer: -o**3 + 20*o - 15303990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - -72. Let v be 56\/s*(-5)\/((-105)\/(-24)). Sort -0.2, 8, v, 1\/5.\nAnswer: -0.2, 1\/5, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 11*r + 15. Let k be s(12). Suppose 0 = 3*v - 8*v - p + 9, -3*v = k*p - 15. What are the prime factors of v - (-9)\/(-3) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5085*d**3*p**3 + 3004*d**3*p**2 + 908*d*p**3 - d*p + 450 wrt p?\nAnswer: -30510*d**3 + 5448*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -307*s + 60. Let z(f) = 103*f - 19. Determine -3*a(v) - 10*z(v).\nAnswer: -109*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*g - 171 = 0, 0*g - 2*g + 442 = 5*w. Suppose -8*j = 14*j - w. Solve -j*c + i = -7*c - 11, -13 = 4*c + 3*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/5 and 438\/560 + (-15)\/(-40)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 18061?\nAnswer: -3\/18061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2894*z = -2899*z + 4, 0*z - 12 = 5*y + 7*z for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 424 + 430 = -v, 4*i + 2*v + 32 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5*-1*(sqrt(448)*-1 + 2 - sqrt(448) - sqrt(448)) - (sqrt(448) + -2 + 2 + (2 + sqrt(448))**2*1)))*5.\nAnswer: -2335 + 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ridotxtorrtrit. Give prob of picking 1 i, 1 r, and 1 t.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 45. Suppose -l*y = -2*i + 3*i - 7, 0 = 4*i + 20. Which is the closest to 1? (a) y (b) 2\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**2 + 8*s + 12. Calculate u(-3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -404 greater than or equal to -394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*q**3 + 0 - 4\/3*q - 1\/3*q**4 + 7\/3*q**2.\nAnswer: -q*(q - 1)**2*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70 + 303*k - 40 - 28)*(-2*k**3 - 3*k**3 + 4*k**3) to n*k**2 + q*k + l*k**3 + h*k**4 + z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*q - 15133 = 174*q - 37111 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -48*i + 4705. Calculate u(98).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3510.4 + -3511. What is the fourth biggest value in 0.7, b, 1\/4, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l, 10*h - 5*h - 20 = -2*l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + 94*c + 17 + c**3 + 0*c**2 - 95*c to the form y*c**2 + u*c + v*c**3 + t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 16, -4, -1\/5 in increasing order.\nAnswer: -5, -4, -1\/5, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 2 - 1)*(-7*w - 29 + 29) + (2*w - w - 2*w)*(5 - 1 - 2).\nAnswer: -345*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3778*k + 497*k - 13384 - 3021 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17 - 2)*(2 + 5\/5). Let a = -35 - o. Calculate the remainder when 87 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 16) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/23 - 32220*s**2\/23.\nAnswer: 2*s**2*(s - 16110)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31809 and 461?\nAnswer: 31809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -255445144 (base 7) in base 4?\nAnswer: -332032331032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 95*u**3 + 2*u**2 + 1701. Let p(v) = v. Determine p(g(x)).\nAnswer: 285*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000003 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -31, -649?\nAnswer: -649","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -29. Let z = p - -4.3. Which is the third biggest value? (a) z (b) -4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18785033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/13 + 1064*h\/13 - 141512\/13 = 0. What is h?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**3 - 38*k**2 + 38*k**2)*(0 + 2 + 0) + 5*k - 5*k + 3*k**3 + k**3 - 6*k**3 - 3*k**3 to the form x*k**3 + z*k**2 + m + v*k and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4 - 60*p**3 + 268*p**2 - 372*p + 160 = 0. What is p?\nAnswer: 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 367528 and 384434288?\nAnswer: 384434288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v + 0*v)*(0*v + 2*v - 5*v + (-4 + 2 + 4)*(-4 + 4 + 2*v) + 2*v + 8*v + 9*v).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50553 + -3892078\/77. Let n = -75\/11 + z. Which is the fourth biggest value? (a) n (b) 3 (c) 0.3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 32*h**2 + 12 + 7*h**2.\nAnswer: 39*h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 5*o - 15, n = -4*o + 2938 - 2926 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from {t: 3, i: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 4*m**3\/3 + 27*m**2\/2 - 20*m + 2. Let l be w(-6). Let d be (l*9\/(-54))\/(2\/(-4)). Which is smaller: d or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*w**4 - 169*w**2 - 15 + 169*w**2 wrt w?\nAnswer: 72*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1820 and 65?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*b - 0*b + 122, 4*b = c - 48. Let n = c + -16. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -87*i + 13. Is 52 a factor of d(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, e: 11}. What is prob of sequence ef?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -146 and -125 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -59*w**2. Let g(v) = -3195*v + 6422*v - 3209*v. What is f(g(k))?\nAnswer: -19116*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 43651 times -16\nAnswer: -698416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Let r = 0.7 + -2.7. Let l = -2 - r. What is the second biggest value in -2\/3, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5466081 is divided by 1366508.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 404\/7. Let d = -0.0169 - 275.9831. Let u = d - -278. Sort l, -3, u, 5 in decreasing order.\nAnswer: 5, u, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71633 divided by -15?\nAnswer: -71633\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - u - 1. Let o(y) = 2*y**3 - 8*y**2 - 6*y - 12. Let r(w) = -o(w) + 10*q(w). Let c be r(3). Let s = c - -141. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - r - 2*v = -12, r - 5*v + 13 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -178, -212, -246, -280?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1340760*p**3*q + 14572*p**3 - 22*p wrt q?\nAnswer: 1340760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 577 - 183?\nAnswer: 3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a factor of 44786815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.7 + -25. Let p be 0 + -3 - (-51)\/15. Which is the nearest to 2? (a) -0.4 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y**3 + 53*y**3 - 24*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 98 + -74 + (-4 - -13).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/6 - 3)*0. Let m(j) = j - 2. Let n be m(7). Suppose -5 = -n*c + 10. Solve u = 2*v - v + c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658004 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + h**2 + 0)*(4*h**3 - h**3 - h**3).\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3208017 and 56373?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 173 + 527 = 0. Let l = r + -32. Suppose -v = -4*y + l, 2*y + 4*v - 40 = 6*v. Calculate the remainder when 61 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028265751 to 6 decimal places.\nAnswer: 0.002827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -363 (base 11) to base 5\nAnswer: -3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17\/(-2))\/(0 - (-3)\/18). Let n = j - -93. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 1 - 1)*(3 - 4*j - 3)*(0*j + 2*j - j)*(-2 + 4 + 0).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1*sqrt(500)*-2)*1 + (-5*(sqrt(500) + 1) + sqrt(500) - (sqrt(500) + 1)*4) + -2)**2.\nAnswer: 3000*sqrt(5) + 50225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7860030, 7859998, 7859946, 7859874, 7859782, 7859670, 7859538?\nAnswer: 7859386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 4*f - 6. Let x = -1 - -5. What are the prime factors of a(x)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 5*a + 3. Let l be z(5). Let u be (2*783)\/(-3) - l. Let v be u\/(-60) - 2\/(-8). What is the highest common factor of 18 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y**2 + 284*y + 840 = 0. What is y?\nAnswer: -6, -35\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 100. Give g(83).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 - v + 1. Is 26 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-6)\/2*-1)\/(-25)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*o**2 - 289*o**2 + 56*o**2 + 59*o**2 + 62*o**2 + 56*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 36*h**2 + 405*h + 404. Let z be d(-1). Solve -39*x = -4*a - z*x + 16, -3*x = -a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.9 - -46.6. Let t = 14 - j. Let o = -0.30000035 + t. Round o to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2)\/(-1) - 20. Let y be (-6)\/s*(-3)\/(-3). Let k be 18\/(-4) - 1\/(-2). Sort 0.2, k, y in descending order.\nAnswer: y, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76074 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -521, -15\/28, 0.1, 0.4?\nAnswer: -15\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3186*c + 6*c**2 + 3186*c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 210*w - 3854. What is k(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 1:47 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -4, -0.06, 3, -3.8, 31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 1. Suppose 3*l - 2*a - 4 = 12, -4*a = -4. Let s(q) = -3*q**2 + 7*q + 6. Let x(g) = l*n(g) - s(g). Give x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/8)\/((-7)\/(-4)). Let f be 24\/(-4) - (-12 - -11). Which is the fourth biggest value? (a) 0.13 (b) f (c) x (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 i when four letters picked without replacement from yeeweieiewwwwwwwie.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/9 + 4102132*w + 12306394 = 0?\nAnswer: -18459591, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31ba - -7?\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2587 * -4472.\nAnswer: 1156.9064","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -694 - -2492. List the prime factors of z.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -3 - 8) + 6 - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28939\/12 - -2408. Find the common denominator of q and -151\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 6 - 42. Let j be (-615)\/o + 3\/(-12). Let a = j + -33. Solve -3 + a = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*k - 29*k + 282. Calculate the remainder when k is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 3:36 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*h*u**2 - h*u + 30856*h - 94*u**2 - 29*u wrt u.\nAnswer: 20*h*u - h - 188*u - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -432*g**3 + 765*g**2 - 444*g + 84.\nAnswer: -3*(3*g - 2)**2*(16*g - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 726 = -2*v + 1401, 4*s + 2*v = -8548. Let i = s + -305. Is i\/(-6) - 5\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.21056633 + 12.2112. Round o to 5 dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccchcciicccc. What is prob of sequence ci?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -6)\/(2\/3). Which is the biggest value? (a) -0.5 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -355\/494, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 10. Let m(n) = n + 4. Let i be m(-3). Let o be ((-16)\/10)\/(i\/(-5)). What is the units digit of k(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -702 + 812. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 + 2. Let z(w) = -424*w**3 - 23*w**2 + 13. Give 6*l(q) - z(q).\nAnswer: 430*q**3 - q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-3)\/(-12)*15\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1256\/11 + -114. Let j = -230 - -30. Let n = j - -199. Which is the smallest value? (a) v (b) n (c) 0 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17258, 4, -1, 2, 3, 6 in decreasing order.\nAnswer: 17258, 6, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*g + 6608 = 0, -2*z = -3*z + 3*g + 3293. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -1\/3*l**4 - 4*l + 0*l**6 + 1\/42*l**7 + 0*l**2 + 0 + 0*l**5 + 0*l**3. What is the third derivative of d(x) wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -41, -70, -111, -164, -229, -306?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22058, -44337, -66620, -88907, -111198, -133493, -155792?\nAnswer: -178095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12367865 (base 9) to base 15.\nAnswer: -7ece9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*x - 168*x + 3308 = -5*r, -2*x = 5*r - 3348. Calculate the highest common factor of 104 and x.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31982360431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/3487 and -17\/121?\nAnswer: 38357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**5 - 11570*o**4 + 46340*o**3 - 46360*o**2.\nAnswer: -5*o**2*(o - 2)**2*(o + 2318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + 0.0033.\nAnswer: -42.9967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 5 = -3*b. Suppose 59*z = 52*z. Suppose z = 3*h - 5*x + 3, 19 + 8 = 3*h + 5*x. Solve -a = -h + b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462730 is divided by 77111.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21*(1760\/(-6))\/10. Let b be 1\/5 - q\/(-55). What is the third smallest value in 1\/11, 1\/2, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 724, 709, 682, 637, 568, 469, 334?\n\"Answer: -j**3 - 8*j + 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 185178 or 185175?\nAnswer: 185178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b31434 (base 14) to base 4\nAnswer: 113001113012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 9*r + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 760285.\nAnswer: 760285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*h**3 + 280*h**3 + 533*h**3 - 113*h**3 + h**2.\nAnswer: 820*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -268, -848, -1986, -3868, -6680?\nAnswer: -10608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 8, -5, 3.7.\nAnswer: -5, -0.5, 3.7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 9. Let g be y(7). Suppose -5*p + 90 = 5*f, g*p + 3*f = p + 72. What is the remainder when p is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2) + 5 - (sqrt(7) + (sqrt(28)*2 + sqrt(28) + sqrt(28))\/sqrt(4) - sqrt(7) - sqrt(7))) + -4)**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1155001218?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5f (base 16) to base 13.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336088 and 21494.\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/9*(-118)\/295.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*m**4*n**2 - 2*m**3*n**2 - m**3*o**2 - 7*m**2*n*o**2 - 2*m*n**2 - 35*m*o**2 + 5*n*o wrt m.\nAnswer: 2616*m*n**2 - 12*n**2 - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.76 - -0.32. Let f = 0.515 + b. Round f to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.38 - 0.59. Let d = a + -9.69. Let y = d + 9. What is the closest to y in -0.5, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1102\/25 - -44. Sort -0.2, t, 0, -2\/3 in descending order.\nAnswer: 0, t, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35158.\nAnswer: 2, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/960 and -19\/32?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4588971 greater than or equal to -4588968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7*a = 2*a + 3, -a + 9 = 3*o. Solve -3*j - 2*g - 16 + 5 = 0, -o*g + 26 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.28 + 0.52. Let w = 0.3 - c. What is the nearest to w in 5, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -29*h**3 + 11*h**2 + 4*h. Let v(l) = 15*l**3 - 5*l**2 - 2*l. What is 6*a(k) + 13*v(k)?\nAnswer: 21*k**3 + k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 5*k + 0*k. Let n(p) = 21*p - 46*p - 2 + 14 - 46*p. Let b(x) = 70*x - 9. Let j(u) = 4*b(u) + 3*n(u). Calculate v(j(l)).\nAnswer: -134*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002949 to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516 is divided by 131.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 2*f + 18, -4*r - 3*f - 45 = -72 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/(-378)*(-119)\/(-187).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393583719.\nAnswer: 3, 31, 521, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 354 = -4*p - 4*f, 2*p - 222 = 2*f. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w + 74 = -n, 222 = 3*w + 2*n. Let l be w\/(-80) + 28\/35. Which is the third biggest value? (a) -4 (b) 0.1 (c) -3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8 - -14) + -4)\/((-7)\/2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6272544 divided by -2\nAnswer: -3136272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*x + 18, 2*f - 3*x + 9 = -f. Suppose -4*a + 2*h + 3 = -43, f*a = -h + 17. What is the greatest common divisor of a and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z. Let q be r(-2). Suppose 5*a - 608 = -2*s, 2*a - 2*s - 3*s - 220 = 0. Suppose 27*k - 32*k + a = 0. Are k and q nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4 = 3*d - 8, 3*a = -5*d + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -a929?\nAnswer: a921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -81694 divided by -2?\nAnswer: 40847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -18*t + 2. Determine j(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(175) + sqrt(175) + 0)*-3 - ((sqrt(175) - (sqrt(175) + (sqrt(175) - (sqrt(175)*2 + 1) - sqrt(175)))) + -1)) + 4 + -3)**2.\nAnswer: -380*sqrt(7) + 252701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**2\/2 + 7*c - 2. Give g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2. Let z(u) = 6*u**2. Let f(s) = 8*k(s) + 3*z(s). Let i(x) = 3*x. Let w(q) = q. Let l(t) = -i(t) + 5*w(t). Calculate l(f(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/6 + 2)\/(-3))\/((-3612)\/(-9632))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 17*h**2 + 3 - 2 + 12*h - 18*h**2. Let v be g(5). Let w(n) = -2*n - 2. What is w(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -3*j**2 + 2*j - 8. Find the first derivative of u(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5482 in -4, -3, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 7906\/9, 0.08?\nAnswer: 7906\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8962894 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - -32. Suppose 2*p + 3*p - n = 0. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12113323 + 31?\nAnswer: 12120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:46 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*o - 3 = 2*v, -5*o + 12 = 2*v. Let y(w) = -9 - w - 7*w + w**2 + 2*w. Let f be y(7). Sort f, v, 4 in ascending order.\nAnswer: f, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-680)\/255)\/(((-20)\/(-3))\/(-2))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13583 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*s**2\/5 + 96*s\/5 + 48\/5 = 0. Calculate s.\nAnswer: -4, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -40, -136, 1, 2, -6 in descending order.\nAnswer: 2, 1, 0, -6, -40, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + v - 124, 108 = -4*k + v + 2*v. Let t be (-20)\/k*2\/110. Is -1 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18030 + 0.022\nAnswer: 18030.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 145?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94082660*y**2 + y + 135888043 wrt y.\nAnswer: 188165320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let g = -35 + 42. Let u(y) be the first derivative of 22*y**2 - 9*y**2 + 10 - g*y**2. Calculate p(u(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + 11*p**2 + 3*p. Let o(q) = q**3 + 5*q**2 + q. Determine -5*o(a) + 2*v(a).\nAnswer: a**3 - 3*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -m - 87, -16 = -m - 3*s - 93. Let o = m - -114. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*p - 1203, -14*l = -9*l - p - 1511. Calculate the remainder when 4226 is divided by l.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -626 - -6595. What is the highest common divisor of f and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 957 divide 579074958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 59. Let l(r) = r**3 + 20*r**2 - 6*r - 60. Let d be l(h). Calculate the highest common divisor of d and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4\/3 - 8*k**3\/3 + 4*k**2.\nAnswer: -4*k**2*(k - 1)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 + 188604*i**2\/7 + 323352*i + 6790608\/7.\nAnswer: -2*(i - 94314)*(i + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5.9. Let k = t + -0.1. Let f = -5\/906 - 224\/453. Which is the closest to k? (a) 0 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100110001011100001 (base 2) to base 3\nAnswer: -21221112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/110)\/((-8)\/10). Let f(t) = 4*t + 13. Suppose 0 = -5*q - 3*l - 9, 4*q - 4*l + 30 = 10. Let x be f(q). Is z != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -144 (b) 1 (c) -2\/11 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 25 - 7*y - 24 - y + 2 - 2 + (0*y + 2*y - y)*(3 - 1 + 0).\nAnswer: -8*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 45*n - 4508. Calculate f(100).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - a - 1. Determine w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i**4 + i**2 + 2802*i + 57973?\nAnswer: 16*i**3 + 2*i + 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43804, -43807, -43774, -43705, -43600, -43459?\n\"Answer: 18*o**2 - 57*o - 43765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31\/4568 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 + -32. Let d(z) = -7*z - 3. Let h be d(-3). Calculate the highest common factor of h and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98516 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 8*d**7\/105 - 7*d**3\/6 + 4*d**2. What is the first derivative of w(l) wrt l?\nAnswer: 64*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.122453mm in nanometers?\nAnswer: 3122453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 divided by 530?\nAnswer: 423\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.46565 and -4.\nAnswer: -89.8626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**6\/90 + 19*f**5\/120 + f**4\/24 + f**3\/3 - 5*f - 251. Let j(m) be the third derivative of y(m). Differentiate j(x) wrt x.\nAnswer: 8*x + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709086.\nAnswer: 2, 3, 7, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 12*p - 14. List the prime factors of l(-9).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -267686255 - -0.3064.\nAnswer: -267686254.6936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*w + 18. Let j(l) = 2*l**3 + 2*l**2 + 2*l. Let b(y) = -6*y**3 - 7*y**2 - 7*y. Let f(p) = w*b(p) - 17*j(p). Suppose f(u) = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggugggggguobbbgggbg. Give prob of picking 4 g.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k. Suppose 4*i = -5*w + 18, -4*w = -i - 0*w - 6. Let d(c) = -c**i + 2*c**2 + 0 + 0. Calculate r(d(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -8. Suppose 0 = r - 2*w - 101, 7*r + 3*w - 404 = p*r. What are the prime factors of r?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(2432) + sqrt(2432) + sqrt(2432) + sqrt(2432))\/(sqrt(4)\/(sqrt(2)*1)))**2.\nAnswer: 4863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 2434*t**5\/5 - 1473*t - 2152. Differentiate p(f) with respect to f.\nAnswer: 9736*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.7 - -7. Let f = -81\/44 + 12\/11. Let x = -5.1 - -1.1. Which is the second smallest value? (a) l (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -162, -243, -324, -405, -486?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s + 10, 4*o + 2*s - 16 = 0. Let p be (-1)\/((o - 5)\/4). Let v be 15\/9 + p\/(-3). Solve w - v = -0*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7 = -3*h, 4*t + 1 = -3*h + 8*h. Let g(p) = 2*p**3 + 8*p**2 - 10*p - 23. Let c be g(t). Let w = 2 - 2. Put 3\/4, w, c in increasing order.\nAnswer: w, 3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:46 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + d + 2*d + 5, 4*d = -3*w - 14. Suppose 2 - 17 = -5*h. Suppose -w*j = 4*c + 1 - h, -2*c + 3*j + 21 = 0. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/234 and 125\/3354.\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 10) + -6 + (-7 - (0 + -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451 (base 7) in base 3?\nAnswer: 210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 524531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (-21)\/231*-770\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 38*a + 220. Give n(8).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 p, and 1 l when three letters picked without replacement from pprlpppplp.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488995?\nAnswer: 5, 13, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (-23 - -32) - 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**3 - 7*l**2 - 2*l**4 - l**2 + 6*l**2 to o*l + g + q*l**3 + p*l**2 + d*l**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1792?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 11. Let l = p + 0. Let j = -0.5 + l. Which is the third smallest value? (a) j (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.698464 years?\nAnswer: 0.007698464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54822*b*m**4 - 2*b*m**3 - 125938*b*m**2 - 3*b*m + 2*m**4 - 2*m**3 wrt m.\nAnswer: 1315728*b*m - 12*b + 48*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -23\/4*x**4 + 9 + 0*x + 0*x**2 + 5\/3*x**3. Find the third derivative of s(k) wrt k.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -3*s - 4, -4*s + x + 34 = 35 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*i = -2*f - 309*i + 5995, 14984 = 5*f - i. List the prime factors of f.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h - 10*h + 17*h - 6*h - 5*h + 37*h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*b + 174*b + 35 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6934\/23647?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32692 and 627?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 5*q**2 + 3*q + 6. Let v be c(6). Is 2 - 2*v*1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7745788676 and 0.4?\nAnswer: 7745788676.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.5, -0.01, 14, 2, 12\/61 in ascending order.\nAnswer: -0.4, -0.01, 12\/61, 0.5, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 104\/(-36) - -3 - 356\/(-36). Suppose 0 = d*v + 120 - 1080. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 1) + 537 + -538.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12036.2 + -12036. Let x = 1606\/7 + -229. Which is the third biggest value? (a) l (b) x (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2583159694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2, -179645?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:54 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 82?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -175544 + -2?\nAnswer: -175546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 12*x - 17 + 9*x**2 - 8*x**2 - 3. Let a be h(9). What is the highest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-18)\/m*m)\/(m*m*m**(1\/32)))**50 assuming m is positive.\nAnswer: m**(-14425\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 0.15 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1523*t**3 + 3400*t - 3400*t - 1527*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0, -3, 1\/2, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -8\/3*u**3 + 2 - 11\/5*u**2 - 4\/5*u + 8\/25*u**5 - 11\/10*u**4 + 4\/15*u**6. Find f, given that l(f) = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25181, 26358, 28321, 31070?\nAnswer: 34605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-25)*(-10)\/(-2). Let i = -2\/39 + 28\/39. Let t = -71\/35 + 17\/7. Which is the biggest value? (a) l (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l**2 + l**3 - 1 + 6*l + l + 3. Let j be a(-7). Suppose -j*f = 3*f - 10. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 15, 2, 3, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 3*u = v - 9, -2*v + 2*u + 10 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:53 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 14 + 0 + 1 + 6)*(68*y - 53*y + 57*y) as b + h*y and give h.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m + 0*m)*(4*m - 4*m - m - 2).\nAnswer: -m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-2 + 4 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4580 + 5336. Which is the closest to j? (a) 3\/4 (b) -4 (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -32, -73\/4, 1\/2, 15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35*1 + 0)\/(-1 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {q: 5, h: 4, k: 4, x: 2, l: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/77987920 and -57\/20.\nAnswer: 77987920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 468062059?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, and 1 a when three letters picked without replacement from {x: 1, e: 1, a: 1, d: 1, k: 2, w: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00277 rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 110, 39, -80, -247, -462?\n\"Answer: -24*q**2 + q + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193948 divided by 48487.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237684?\nAnswer: 2, 3, 29, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 16 = f, a - 12 = 2*a - 3*f. Let x = a - -14. Suppose -3*c - 5*g + 2 - 13 = 0, -2*c - 2 = -2*g. Put -8, x, c in descending order.\nAnswer: c, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 4)*5*(-3 + -12458). Let h(t) = t**3 + 8*t**2 + 3*t + 1. Let m be h(-6). Is g\/m + (-6)\/(-33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - 3*sqrt(325))*-6 + (1*sqrt(832) - sqrt(13) - sqrt(832)*1).\nAnswer: 59*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.8 - -7. Which is the smallest value? (a) 5\/4 (b) n (c) 0.178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4059417*b**3*x**2 + 41*b**2*x**2 - 10871*b**2*x wrt b.\nAnswer: 24356502*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18132 is divided by 199.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*5544\nAnswer: 1663.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15*z - 3. Suppose 28 = 6*j - 10*j. Is 34 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 864, 1625, 2390, 3159, 3932, 4709?\n\"Answer: 2*g**2 + 755*g + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-9))\/((-4)\/(-6)). Suppose 8*v = 9*v - 5. Suppose 5*x = 5*h - v, -4*x + 2*h + 6 = -0. Solve -3*q = -4*w + x + 2, 0 = l*q - 5*w + 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17 - -7)*6\/(-12). Solve 26 - 11 = r*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36504 by -8.\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3725 divided by -745\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56133002?\nAnswer: 2, 31, 67, 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**7\/40 - 2*n**5\/15 + 5*n**3 + 5. Let g(d) be the third derivative of l(d). Find the second derivative of g(m) wrt m.\nAnswer: 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136\/(-34)*(310\/15)\/(2\/(-1509))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 509856?\nAnswer: 1529568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 2*p**2 - 4*p**2)*(-2 + 8*p**2 - 10*p**2 + 6*p**2).\nAnswer: -8*p**4 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + h**2 - h**3 - 2*h + 0*h**2 + 2*h**2 as j*h**3 + t*h + d*h**2 + c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 3869134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 7*z - 20. Let q be f(4). Let d be (-10)\/q*(-16)\/20. Which is the nearest to 1? (a) -2\/7 (b) d (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = -5*q + 26, 2*q = -j + 6. Suppose 3*u = 5*u - 14. Suppose r + q = u. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/5, 0.2, 3, -7 in increasing order.\nAnswer: -7, -3\/5, 0.2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = 0, o = -2*c + 3*o + 380. Suppose 2*k - 2*d = 28, -4*d - 4 = -5*k + 70. What is the least common multiple of k and c?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/16? (a) 3 (b) 2 (c) 1\/2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.277 - -0.277. What is the nearest to x in -4, 2\/33, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 at most as big as 288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5330 (base 6) to base 7\nAnswer: -3342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/42 - ((-192)\/231)\/(-1). Which is the smallest value? (a) -5 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -14701 (b) 0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/5022 and -107\/2604.\nAnswer: 70308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500 - 95 - 138 - 20*b**2.\nAnswer: -20*b**2 + 267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 252*y**2 - 3712*y + 3276. Calculate t(-266).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8248103.\nAnswer: 883, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-40))\/((-6)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-32112)\/360 + 77?\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -42. Calculate the remainder when 0 + s\/(3 - 1) is divided by 56\/6 - (-2)\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*j - 67. Suppose -2*c + j = 2*c. Is (6\/c)\/(6\/88) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 7700.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(64)*5))\/((sqrt(256) - (sqrt(256) + sqrt(256)*-1))*1 + sqrt(256)).\nAnswer: sqrt(5)\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16002, 16033, 16066, 16101, 16138?\n\"Answer: r**2 + 28*r + 15973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -94424 divided by 8?\nAnswer: -11803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2839052 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 40947 = -3*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 8*z**2 - z + 5. Let o be r(-6). Suppose 0*m - 5*m = -o. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*w + 20, -3*y - 2*w - 32 = 3*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 39. What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109596 is divided by 760.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(35\/15))\/(2\/((-28)\/3))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -641340.0729 - -641394. Let z = -0.0271 + w. Round z to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562 + 407 = 103*a - 464 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuo when three letters picked without replacement from {u: 5, x: 2, o: 1, e: 5, w: 1, i: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -11, 0, -0.00918, 26\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 746*f - 749*f - 90886 = -2*p, -227187 = -5*p + 4*f. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21321 (base 4) to base 12.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 7*c**2 - 2*c - 4. Give t(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 1. Let d(o) = 4*o**2 + 94*o + 490. Let a(i) = -d(i) - 6*l(i). Factor a(p).\nAnswer: -4*(p + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90*j*n*z + j*n - 3*j*z**2 - 2*j*z + 4*n*z**3 + n*z**2 - z**4 wrt z?\nAnswer: -6*j + 24*n*z + 2*n - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2464.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 8) to base 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101541322 (base 6) to base 4.\nAnswer: 12300102302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 470957568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 58*t**2 + 42*t - 6. Let o(f) = 7*f**2 + 5*f - 1. Let j(x) = 17*o(x) - 2*w(x). Let b(h) = -4*h**2 - h + 6. What is -5*b(i) - 6*j(i)?\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 519 to the nearest 10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 2*j**2 + 12*j + 1. Suppose 0 = -22*d + 28*d. Suppose -1 = -3*p - 4*b, 3*p + 5*b + 4 + d = 0. Is u(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*n**2 + 2 - 7*n**2 + 8*n - 10*n + (-3 + 5 + 0)*(5*n - 5*n - 2*n**2).\nAnswer: -n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33255\/34 - 978. Suppose -6872*x = -6892*x. Is z at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -8915838?\nAnswer: -8915843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 288 + -288.3. Which is the nearest to 5? (a) 0.4 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - 110*s - 971. Determine u(-8).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfpoygt. Give prob of sequence ofyp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l + 72. Let t(m) = 3*m + 24. Let o be t(-4). What is the greatest common divisor of o and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 98 - 398. Let h = 112 + i. Calculate the remainder when h is divided by 0*(-1 + 0) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -4 - -7) + 3 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 227290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*g = 22, -u + 0*u = -g + 2. List the prime factors of u\/(-14) - (-696)\/21.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58981 and 65552.706?\nAnswer: 6571.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 + 14837440*g**2\/9 + 27518777406250*g\/9 + 275186290320500\/9.\nAnswer: 2*(g + 10)*(g + 3709355)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/6 + 20763*t + 1293306507\/2 = 0?\nAnswer: -62289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.58*2\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26379 or -4247086\/161?\nAnswer: -26379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 251 - 172. Suppose -209 = -5*w - k. Let b(f) = 3*f**2 - 3*f + 5. Let m be b(-4). What is the greatest common divisor of w and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27\/632 + 1733\/70152. Which is the nearest to 0.4? (a) -8 (b) -0.5 (c) v (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (0 - -1) - (-48 + 68 - 27)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1953388 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*q + 5806, z + 2*q - 60 - 1390 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/2*24\/15. Let t = 77 - b. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*4*(-1 + sqrt(304)))**2 + 1.\nAnswer: -512*sqrt(19) + 19521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 19498.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -439.6 - -440. Put 17, -5, z in decreasing order.\nAnswer: 17, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13346467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2530, 2521, 2512, 2503, 2494?\n\"Answer: -9*t + 2539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3 = 8, 0 = 3*n - 4*b + 7316245. Let q = n - 3161253. Round q to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 1872.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 - -14) + -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 426798963 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244 + -240. Suppose 0 = -f*w + 3*w + r + 175, 0 = 4*w - 2*r - 704. What are the prime factors of w?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert de4e (base 15) to base 2.\nAnswer: 1011011111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9)*9\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 6219571?\nAnswer: 6219570.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3858131, 3858161, 3858191, 3858221?\nAnswer: 3858251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(2*sqrt(1377)*2*-5 + 5) + -1 + 2).\nAnswer: -87 + 3240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/3*q + 14\/3*q**2 = 0. What is q?\nAnswer: -1\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -8) + -34 - (-6 + -5 + 4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {t: 1, i: 2, a: 3, o: 3, j: 1, l: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8490371 by -2.\nAnswer: -8490371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/68904 and -133\/40716?\nAnswer: 895752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 783607\/21 = 37316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - r - 37. Calculate q(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055017401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 9 (c) 2 (d) 4\/5 (e) -1\/3 (f) -22\/101 (g) 3\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13998 - -14667. What is the remainder when o is divided by 47?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475) + -2 - (sqrt(475) - sqrt(475)*-2)*2)**2.\nAnswer: 80*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044 take away 0.15?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 1, w = 2*m - 5*m + 2. Suppose g + z = 4*g - 98, 3*g + w*z = 104. Calculate the remainder when g is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260)\/2145*((-459)\/238)\/(-9).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i + 4*c - 21, 4*c - 48 = 4*i. Let t be 2*(i\/((-27)\/6) - 4). Sort t, -3\/5, 4, 0.2 in increasing order.\nAnswer: t, -3\/5, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + c - 5 = 0, 2*r + 20 = 70*c - 67*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*g - 3*s, 5*g + 2*s = -2*s + 120. Suppose g = -3*c - 0. Let x be (-1 - 2)\/(c - -9). Are -3 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**32*w*w)*(w*w*w\/(w*w*w\/(w*w**(3\/10))*w))\/w assuming w is positive.\nAnswer: w**(-347\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 201 and 7?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 5*z - 7*z**3 + 5 + 2*z**2 + 6*z**3. Calculate v(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*s - 5*s. Find the common denominator of (209\/8 + -1)*s\/(-684) and -47\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13456519 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 11:05 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6340650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -647*z + 641*z - 24 = 0. Let d = 0.77 + -0.7. Let i = d - 0.47. Which is the biggest value? (a) z (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -39*n + 4. Is a(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7123 or 5136?\nAnswer: 7123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = -5*j. What is the units digit of ((-9)\/j)\/((-3)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.3, 16\/5, 1\/4, 0.2 in descending order.\nAnswer: 13, 16\/5, 0.3, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177158, 708364, 1593616, 2832914, 4426258, 6373648?\nAnswer: 8675084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 224257.11 months?\nAnswer: 18688.0925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22944510, 45889013, 68833512, 91778007?\nAnswer: 114722498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(148\/38 - 4). Let y = m - -67. Let r(n) = n**3 - 5*n**2 - 8*n - 2. What is the least common multiple of y and r(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/100 of a kilometer in centimeters?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1*(2*sqrt(1300) + -4))*4)**2.\nAnswer: -4480*sqrt(13) + 83984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 36. Let y be w(-21). Let p = -24 - y. Calculate the greatest common divisor of 99 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -3\/2*v**2 + 3*v + 0 + 1\/12*v**4 + 0*v**3. What are the prime factors of r(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159018 and 177.\nAnswer: 9382062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 304 in 1851, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1383080 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*k, -3*w - 3 + 0 = -3*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*s = 6. Suppose 3*b = -s*k + 5*k + 21, 3*b = -3. What are the prime factors of 120\/45*(-210)\/k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from enejevne?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*d - 4 = -5, 0 = -3*n - 5*d + 11. What is the second derivative of j**3 - 6*j**3 - 4*j**3 - n*j**3 + 17*j wrt j?\nAnswer: -66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 24*b**2 - 16*b + 182. List the prime factors of y(7).\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**5 + 204802*c**3*s - c**2*s - 56*c*s - 367*c - 2*s - 2 wrt c?\nAnswer: -180*c**2 + 1228812*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75028 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswgggh. What is prob of sequence gsg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -401 divided by 1\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2376)\/10890)\/((-3)\/(-33)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 7 = 2. Suppose -l = 3*z - 3 - c, 8 = -4*z. Suppose 11*a - l*a = 23. Solve a = -x - 4*v, -x = 4*v - v + 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/5 + (-3)\/(-5). Suppose -27 = x*d - 127. What is d rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -2\/39, 0.05, 1 in ascending order.\nAnswer: -2\/39, 0.05, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2. Let f(a) = -a**2 + 13*a + 2. Let v(q) = 804*q**2 - 39*q - 6. Let n(j) = -12*f(j) - 4*v(j). What is n(i(g))?\nAnswer: -12816*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(52)\/sqrt(4) + (sqrt(13)*-3 + sqrt(13))**2 + 5)*5 - ((sqrt(26)\/(sqrt(2)*1) - (sqrt(325) + -4)**2) + 1).\nAnswer: -36*sqrt(13) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, 10, -21 in decreasing order.\nAnswer: 10, -21, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2046 + 22726. Does 94 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2275*l**4*z**3 - l**3*z**3 - 1215*l**2*z**3 + z**3 - 3*z wrt l.\nAnswer: -54600*l*z**3 - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 91838712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 0*a**3 - a**5 + (2*a**4 + 0*a**4 - 5*a**4)*(2*a - 2*a + 2*a).\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35b (base 13) to base 6.\nAnswer: -2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3057469265 to the power of 1\/2, to the nearest integer?\nAnswer: 55294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58.7 - 53.7. Is l at least -0.243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 5*a**2 - 46*a - 10. Let c be n(10). Suppose c*u = -3*u + 41481. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(4*sqrt(78) - sqrt(78)))\/(sqrt(6) - (sqrt(42)\/sqrt(7) + sqrt(6) - sqrt(6))*-2))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - k + 1 = -5, 0 = o - 4*k + 6. List the prime factors of 98*(-3 + 4) - (o - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -38. Let k = w + -11. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*u**2 - 114 + 114 - 22*u**4 wrt u?\nAnswer: -528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.6631065ms?\nAnswer: 0.00000018419625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39742145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*(((l**(2\/9)\/l)\/l)\/l)\/l))\/l)\/l**(3\/8))\/((l**(1\/6)\/l)\/l**(1\/3)) assuming l is positive.\nAnswer: l**(257\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-3) + -4 + 1. Suppose -5*p - g + 202 = -0*p, p - 3*g - 34 = q. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2573*z + 98. Let q be n(-13). Is (2 - q\/4) + (-42)\/56 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 12492*x - 400825. What is f(32)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**3\/3 - 5*l**2\/2 - 4*l + 5. Suppose 4 = -3*p - 4*j - 7, j = 4*p + 21. Give d(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 - 4. Let g(p) = p**2 + p. Determine b(u) - 2*g(u).\nAnswer: 4*u**2 - 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/3*6\/4. Let s be -4 + (r\/92 - -4). Let p = s + -689\/230. Find the common denominator of p and 22\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64217 - -64219.9051. Let w = 0.0949 + x. Let g = 1 + 1. Which is the second smallest value? (a) w (b) 3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -12, -2, 4, 102 in ascending order.\nAnswer: -12, -7, -3, -2, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 310913 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2576503550 to the nearest integer?\nAnswer: 50759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 80. Suppose 5*g - 45 = f*j - 5, 15 = 2*j + 5*g. Let i(q) = -26*q + 6. Let k(l) = -5*l + 1. Let u(c) = 3*i(c) - 16*k(c). Calculate u(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-2 - 8)) + -11 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7*p = 18. Suppose 5*q + 23348 = 4*x - 7281, -p*x + q = -15307. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5664 not equal to 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*j**3 + 87 - 24*j**3 - 351 + 284*j + 36*j**3 - 16*j**2.\nAnswer: -4*(j - 6)*(j - 1)*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -19*q**2 - q - 4. Determine g(2).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -10. Suppose 0 = 2*b - 2 - v. Solve z + 0 - b = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 500.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2))**36*(w**(5\/4)\/w)\/w*w**18 assuming w is positive.\nAnswer: w**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 246*n - 171. Let o be h(1). Suppose b + 0*b = f + 241, -4*b = f - 959. Calculate the greatest common divisor of o and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*z = 39, 2*j + 408*z + 4 = 403*z. Let d(v) = -2*v + 2. Let o(u) = -4*u + 5. Determine j*d(p) + 3*o(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 6, b: 5}. Give prob of picking 1 r and 1 t.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1569, 10\/11, -3\/35 in descending order.\nAnswer: 15, 10\/11, -3\/35, -1569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 + -23. Let s(x) = x**2 + 6*x + 750. Let k be s(0). Suppose 74*l = 79*l - k. Calculate the greatest common factor of l and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 + (-2 - -3). Let w be l\/3*(1 + -4). What is the units digit of (w - -1)*(-5)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 - 590*l**3 + l - 2*l.\nAnswer: -590*l**3 - l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -t - 0 + 3, -5*u = 10. Suppose -t*h = 5*q + 12 + 28, 3*h + 14 = -q. Suppose -c = -1 - 2. Sort c, -5, h in increasing order.\nAnswer: -5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341270528257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 680195244?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:44 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1099*y - 1100*y - 115*y**3 - 3 - 129*y**3 + 2*y**2 in the form n + w*y**2 + f*y**3 + x*y and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68196 and 7637952?\nAnswer: 7637952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.9, -4, 0.2, 0.5 in decreasing order.\nAnswer: 15.9, 0.5, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -75*i**3 - 6*i**2 - 7*i + 7. Let k(h) = -25*h**3 - 2*h**2 - 2*h + 2. Let f(q) = 2*c(q) - 7*k(q). Find the third derivative of f(s) wrt s.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1807, 7, -3, -3\/11, 2\/13 in decreasing order.\nAnswer: 1807, 7, 2\/13, -3\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 4*h + 18. Determine r(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13649, -27316, -40983?\nAnswer: -54650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1\/39, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {l: 3, b: 4, j: 5}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1956*f + 1979*f = 0. Solve 49*g - 50*g + 1 = f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -79 - (-65 - -85 - (-3 + (5 - -10)))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/25)\/(82\/(-205)). Sort 0.5, 1, -2\/7, s, 2\/15.\nAnswer: -2\/7, 2\/15, s, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/28)\/((1\/(-10))\/(158\/948))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**2 - 2*x. Let w(p) = -2*p**2. Suppose -5*r + 22 = 32. Let a(t) = r*y(t) + 5*w(t). Factor a(z).\nAnswer: 2*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 18*l - 58 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 94 = -o + 96 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 131, 192?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 5 (b) -1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 312, -5, 4.\nAnswer: -5, 4, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -21. Suppose -u + 15 = -w. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 14, 10, -6, -675 in decreasing order.\nAnswer: 14, 10, -1, -5, -6, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 1218?\nAnswer: -121b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y = -2. Suppose 2*j + 5 = -r - 3, 0 = 3*j + 4*r + 7. Which is the fourth smallest value? (a) y (b) j (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -8*w + 135. Suppose 5*g - w = 2*g. Solve 7*r - 4*r = g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -146 + 152 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 173*n - 5. Let j be y(1). What is the greatest common factor of 42 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667746 plus 0.1?\nAnswer: 667746.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28d20 (base 15) to base 14.\nAnswer: 35b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*h**5 + 15*h**5 + 5*h**5 + (-2*h**5 + h**4 - h**4)*(-1 + 1 - 3) + (1 - 2 - 1)*(2*h**2 - 2*h**2 + h**5).\nAnswer: 13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*s**3 + 251*s**3 + 776162*s - 776162*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11682349 and 687197.\nAnswer: 11682349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 4. Let v(r) = 3*r + 1. Let m(a) = -a**2 - 16*a - 64. Let o(q) = -m(q) + v(q). Let p be o(-14). Let g(l) = -3*l - 4. Calculate p*y(b) + 4*g(b).\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-280))\/(1\/(-25)*-5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(0*u + u + 0*u)*(2*u**3 - u**3 - 4*u**3).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 2897554471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 501 = 2*t, 4*j - 320 - 652 = -4*t. 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: b\"What is the oth term of -209675, -839022, -1887933, -3356408?\n\"Answer: -209782*o**2 - o + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13669 from 280577.\nAnswer: 266908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**7\/2520 + v**5\/60 - 2*v**2. Let c(n) be the third derivative of y(n). Let w(q) = -2*q. Determine w(c(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 6:17 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 589041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - c + 95 = 0, 2*v + 13*c - 8*c - 83 = 0. Is (-15700)\/(-35) - (-21)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(4\/(128\/24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -11*v + 333*v + 26*v + 92450 + 2*v**2 + 512*v = 0.\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/(-150)*5)\/(282\/(-20)). Is 0 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2 - 2091470*o - 60651789 = 0. What is o?\nAnswer: -2091441, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/22)\/((-36)\/8).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -140, -242, -332, -404, -452, -470?\n\"Answer: k**3 - 109*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 243*t - t**2 - t**3 + 1 + 123*t - 59*t**4 + 122*t in the form l*t + h + r*t**4 + b*t**2 + p*t**3 and give r.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*g - 8106 = -231*g. Calculate the remainder when 521 is divided by g.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 12211?\nAnswer: -20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134876629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**3 + 12*k**2 - 21*k + 119. Let j(z) = -4*z**3 + 6*z**2 - 9*z + 59. Determine 7*j(d) - 3*n(d).\nAnswer: -d**3 + 6*d**2 + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1db (base 16) to base 3\nAnswer: 122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*a - 10 = 0, 4*c = -2*a - 0*a - 4. Calculate the lowest common multiple of 1 and 2 - (c + 3)*(2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 1:56 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 87. Calculate o(31).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmd when three letters picked without replacement from {d: 2, z: 2, m: 10}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**4 + 5*u - 37 + 11 + 2*u**3 + 15 - u to f*u**3 + k*u**4 + h*u + y*u**2 + g and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-2)*13\/39?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*q - 22 = 0, -g = -4*q - 3 - 4. Let l(p) = -8*p - 6*p + g*p. Let y(w) = 13*w**2. Give y(l(k)).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 3*y + 1. Let f be b(-3). Suppose -l + 2*l = -s + f, -l + 4*s + 1 = 0. What is the remainder when (-2)\/(0 - (-1 - -2)) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.1, -3, -3\/4, -2 in descending order.\nAnswer: 2\/9, -0.1, -3\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {c: 2, n: 6, r: 3, d: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by (-229)\/(-458)*(0 - 24\/(-9))*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11431 by -71.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 2.55542.\nAnswer: -2.85542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145370 by -1.\nAnswer: 145370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 18 = -s - 3*s, 3*h - 17 = -4*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -w - 0*w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29038320\/(-41632)*4\/90?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402841121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17706, 17686, 17652, 17604, 17542, 17466, 17376?\n\"Answer: -7*z**2 + z + 17712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-16)\/(-10)*(-5 + 10) and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((36\/6)\/((-8)\/(-26))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40*p - 155*p - 62*p)*(37*p**2 - 2 - 62*p - 30*p**2 + 69*p) to the form s*p + i + k*p**3 + g*p**2 and give g.\nAnswer: -1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 177*d**2 - 16*d + 1. Does 6 divide x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -8, 9*l - 4*l - 14 = 2*p. Solve 2*y - l = 3*f, 6*y - 12 = 2*f + 2*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48860367 + 3\nAnswer: -48860364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26359, 52817, 79273, 105727?\n\"Answer: -d**2 + 26461*d - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bclgobec. Give prob of sequence cgo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) 5 (c) 2\/3 (d) -1105 (e) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -47. Suppose -161 = -7*q + a. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -51958*((-25)\/(-10))\/(-5). Suppose 29*x = 13838 + d. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238 or 239?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -1\/1580, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkf when three letters picked without replacement from {f: 2, k: 1, g: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 45 = x, 2*x + 50 = -18*v + 23*v. Solve -3*k + 4*s + 31 = -v*k, 3*k + 29 = -5*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*v - 1128, -4*v + 758 = -36*n + 38*n. Let o = 898 + n. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let g(m) = 2*m**2 + 2*m + 1. Let r be g(o). Suppose 88 = 2*k + 4*p, -4*k + r*p - p = -140. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-7 - -8)) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*a + 5 - 736*a - 939*a - 5.\nAnswer: -1296*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 - -2479?\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*n + 8. Let u(c) be the third derivative of c**4\/24 + 3*c**3\/2 + c**2. Is u(n) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487615 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 6078360 and 1080?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + 2 - 11) + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-228)\/(-20) - 8\/20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g + 2*g + g)*(-2 + 2 - 1) + (2 + 3 - 3)*(-65*g + 169*g - 73*g) to h*g + p and give h.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 4*k**3\/3 - 7*k**2\/2 - 6*k - 60. What is the smallest common multiple of 10 and i(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 7*t - 11*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, 7, 0.14 in increasing order.\nAnswer: 0.14, 0.3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -50?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2300379.3us to minutes.\nAnswer: 0.038339655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b + 179*b - 4812806 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -29, -3, -5 in descending order.\nAnswer: 3, -1, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -992, -978, -948, -896, -816, -702, -548, -348?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2495 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11586, -463, -3, 0 in decreasing order.\nAnswer: 0, -3, -463, -11586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 880*a = -879*a + 13, 2*i - 2*a = 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -2\/5, 5, 0.8, -2\/17, 2\/773, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/7, 0.27, 4 in decreasing order.\nAnswer: 4, 2\/7, 0.27, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) -6 (b) -5 (c) -67 (d) 13 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1000222 (base 3) to base 7\nAnswer: -2126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105103*p**3 + 21*p - 21*p - 105028*p**3.\nAnswer: 75*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/sqrt(144) - sqrt(50))\/(sqrt(160) + sqrt(160)*-3).\nAnswer: 5*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 + 21915*s**2\/4 + 5479*s.\nAnswer: -s*(s - 21916)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/7, 3, 102, 2, -932 in decreasing order.\nAnswer: 102, 3, 2, 1, -3\/7, -932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/8)\/n)**(-25))**(-15) assuming n is positive.\nAnswer: n**(-3375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 1:26 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(-8)\/128 + (-3)\/(-2). Differentiate -16*p**4 - 43 + 16 - y*p**2 + 50*p**4 - 73 + 24*p**4 with respect to p.\nAnswer: 232*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.52764 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + y**2 - 32279*y**4 + 29 - 7 - 6*y**3 - 3*y + 32284*y**4 to j*y**2 + q + k*y**3 + l*y**4 + h*y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -w + 15, -2*z + z - 4 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 582 and 144.\nAnswer: 13968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -53*o + 531. Let k be h(10). Which is the third smallest value? (a) -5 (b) -4 (c) k (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/42 + 6)*(63\/(-6) + 0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*o = -6*v - 48, -4*v - 5*o = 80. What is the common denominator of v\/10 - (-74)\/(-20) and (-57)\/8 - (2 - (5 + -3))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-30))\/((-2)\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2322349686 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142198 and 10.\nAnswer: 710990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-88 + 83 - (0 - 22)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20948597.\nAnswer: 163, 128519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4818 and 21212340?\nAnswer: 233335740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 184*a**2 - 185*a**2 + 6*a**4 - 3*a**4 in the form r*a**4 + m*a + g*a**2 + d*a**3 + k and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100000011010000 (base 2) to base 14.\nAnswer: 658d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.07, -8, -1\/5, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*i + 2*i - 35, 5*h = -i - 7. What is the highest common factor of i and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -41*f + 15693. What is p(385)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -498*-0.4.\nAnswer: 199.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*d**3 + 62*d**3 + 4568*d**3.\nAnswer: 5026*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 8. Let c be f(6). Let t(i) = 0*i**3 - 5*i**3 + 5*i**2 - 5*i - 2*i**3. Let y(h) = -6*h**3 + 4*h**2 - 4*h. Calculate c*t(z) - 5*y(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, -0.13245, 0.1, -3, 7\/5, 3, -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 55352?\nAnswer: 608872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1176 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 + 37*c - 2*c**3 + 29*c - 61*c to the form q + f*c**3 + g*c**2 + k*c and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + 10. Let n be (-2)\/6 + 236\/6. What is the greatest common factor of n and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i + 2. Let s(z) = -34*z + 10. Let b(j) = -5*q(j) + s(j). Let u(n) = 111*n**2 + 2. Give b(u(a)).\nAnswer: 111*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 7 - 10. Suppose 6 = a*h, 3 = 4*r + 4*h - 13. Find the third derivative of 4*p**r + 2*p**2 + 11*p**2 - 31*p**4 + 15*p**4 wrt p.\nAnswer: -384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(5\/40)*((-510)\/1240)\/17.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45, -21, -95, -177, -267, -365, -471?\n\"Answer: -4*c**2 - 54*c + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.01032657 - 0.01032689. Let j = -1 + t. What is j rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2488 and 7856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*c + 153*c - 43*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1259 = -13*v - 960 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*x**2 + 83*x - 161*x + 78*x - 100*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003129 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -5.3157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/63 - (3 - 12\/7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -2 - (14 - -1). Let f be h\/7 - 4\/(-14). Let g be -50*14\/56 - -12. Which is the nearest to g? (a) f (b) 0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-27)\/(-24) - 2475\/(-88). Let x be d\/12 + 20\/(-12). Factor -18*b - x*b**3 + 18 + 6*b**2.\nAnswer: -2*(b - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -17\/6*t**3 + 0 - 51\/2*t**2 + 28*t - 1\/12*t**4. Let w be y(-13). What is the nearest to w in -4, -2\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -8. Let v(p) = -p + 5. Let f be v(5). Suppose 3*j + 4*w + 20 = 0, f = -0*w - 4*w - 20. Sort j, -4, h in ascending order.\nAnswer: -4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**33))\/f**(-3\/10)*(f\/f**16)**29 assuming f is positive.\nAnswer: f**(-4017\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*o**3 - 2250*o**2 - 3125*o.\nAnswer: -5*o*(9*o + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 - (10 - (9 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3191 or 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.85 - 0.15. Let y be 11*1\/5 - 2. Which is the biggest value? (a) k (b) y (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(245) - (sqrt(245) + 1 + sqrt(245) + sqrt(245))) + (-5*-2*sqrt(245))**2)*4.\nAnswer: 224*sqrt(5) + 98016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*b**3*c**2*w**3 - 17*b**3*c**2 - 23*b**2*c**2*w - 3*b**2*w**3 - 6*c**2*w**2 wrt b.\nAnswer: 198*c**2*w**3 - 102*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-10) - (-36)\/(-90))\/(-1). Let b be (-4595)\/(-10) + (7\/(-14) - z). Do 459 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4}. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1105*a - 58092. Calculate v(-53).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 121 = 133 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -458? (a) -3 (b) 12 (c) -1 (d) -0.5 (e) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, t: 5, c: 5}. Give prob of picking 1 c and 3 u.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -3\/5, 5\/8, -2 in decreasing order.\nAnswer: 5\/8, -0.06, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 499 + -1162. What is the units digit of (-9 - -5 - c) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-16)\/12)\/(-4)*66 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-124)\/6)\/(14\/(-21)). Suppose 5 = 5*q + v - 5, 5*v + 31 = 2*q. Solve 19 = -q*w + 2*y, w = -w + 5*y - l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 551 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3949*g**2 + 11 + 5*g - 7904*g**2 + 3927*g**2 wrt g.\nAnswer: -56*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from ixxri?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19724 is divided by 429.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 15. Let r be p(-9). Suppose r = 5*d - 4*d. Suppose -d*s = -7*s + 172. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 18. Let j be ((-2)\/5)\/(3\/5). What is the closest to j in 3\/4, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, 2, 5, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99891 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -20*j + 8360. Is j a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**4 + 55*x**2 + 90*x + 40 = 0. Calculate x.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 1. Let g be z(-1). Suppose g = a + 3*a - 60. Let c(y) = y**3 + 7*y**2 + 3*y - 8. Calculate the remainder when c(-5) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {d: 2, f: 3, a: 2, l: 2, w: 1, g: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-130)\/42 + 6\/63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -785, -2756, -6041, -10640, -16553, -23780?\nAnswer: -32321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32130 and 2266866.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 276000 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggug. Give prob of sequence ggg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -266 - -270. Suppose 5*h = -2*n + 415, b*n - 249 = -2*h - h. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5157679 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-97)\/(-19) - 2\/(-12)*-30. Which is the third smallest value? (a) 7 (b) -4 (c) k (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let l be 5\/10*(g + 6). Let d be ((-1)\/(-3))\/(7\/(-12)). Which is the nearest to 2\/5? (a) l (b) 1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*l + 13*l - 55*l + 2*l**3 + 3*l**3.\nAnswer: 5*l**3 + 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*m**3 + 24*m**2 - 24*m**2.\nAnswer: 520*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4508\/805 - (-4)\/10) + (-180)\/(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 17*m - 3498. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-1))\/((-564)\/(-423)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(1750\/6300)\/((-5)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4696962 to the nearest integer?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 0*y**3 + 81 + 0*y - 31\/4*y**4 + 43\/2*y**2. What is the second derivative of x(d) wrt d?\nAnswer: -186*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**7\/15 - g**6\/12 - g**5\/15 + 3*g**2. Suppose c(q) = 0. Calculate q.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/42)\/(((-30)\/4)\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.03, -0.2, 7.2, -1.1 in increasing order.\nAnswer: -1.1, -0.2, 0.03, 4, 7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 1. Let r(x) = 5*x + 4. What is -9*c(p) + 2*r(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2331101 - -20300?\nAnswer: 3012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - i - 13. What is the remainder when 64 is divided by k(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25219*q**4*z**3 - 114*q**4*z**2 + 25*q**2*z**3 + 9*q**2*z - 754*q**2 + 2*z**2 + 3*z wrt q?\nAnswer: -605256*q*z**3 - 2736*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*m - 8*g**2 + 60833836*g*m**3 + 200*g + 6464 wrt m.\nAnswer: -2*g**2 + 182501508*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x - 8 = h, -2*x = -5*h + 8. Let m(p) = -7*p - 6. Let u(v) = -6*v - 5. Let d(i) = x*u(i) - 5*m(i). List the prime factors of d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 48. Let r(h) = -2*h**z + 5*h**2 + 5*h**2. Let s(x) be the first derivative of 3*x**2\/2 - 10. What is s(r(n))?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.38, -46, -1\/3 in decreasing order.\nAnswer: -1\/3, -0.38, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 0.5587366\nAnswer: 0.8381049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3830858520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 140911845, 140911852, 140911869, 140911902, 140911957, 140912040?\n\"Answer: z**3 - z**2 + 3*z + 140911842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1008?\nAnswer: -1\/504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + w - 41 + 9 = 0, 31 = 4*h - w. Let r(v) = -2*v**2 + 4*v**2 - 5*v - h*v**3 + 7*v**2 - 7. Let n(s) = 3*s**3 - 4*s**2 + 2*s + 3. Give 9*n(m) + 4*r(m).\nAnswer: -m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*v + 182*v - 363*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 27 = -6*h + 5*f, -12 = -4*h - 4*f for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.4, 2595.49 in ascending order.\nAnswer: 0.3, 0.4, 2595.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6684 by -1671.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173881 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 1, b: 1, w: 9, o: 2, d: 3}. What is prob of picking 1 b, 1 k, and 1 d?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14689 (base 11) to base 3.\nAnswer: 1001111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h - 147*h**2 - 3 + 147*h**2 + h**3 as s + r*h**2 + m*h**3 + a*h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80230 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/27 (b) -2 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {p: 7, w: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 231 = -78*y, 11 = 3865*f - 3869*f - 5*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*y - 3*r + 249, -4*y - 2*r = -234. Suppose 50*x + 20 = 52*x. Let i be 37 + x*5\/10. Calculate the greatest common factor of y and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 540476 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 15*w**2 + 11*w + 17. Let p be d(-16). Suppose -3*l + p = -17. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 16\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 5*z + 2. Suppose -5*n + 30 = l, n + 6*l - 4*l = 15. Let t(o) = o**2 - o + 5. What is the remainder when t(n) is divided by w(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 3*q**4 - 3*q - 2*q**4 - q**4 + 2*q**4 + (4 - 1 - 4)*(6*q**3 - 4*q**4 - 6*q**3) in the form u*q + y*q**2 + l*q**4 + z*q**3 + n and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**(1\/4))*y))**(12\/11)*(y*y\/(y*y\/y**0))**(10\/3) assuming y is positive.\nAnswer: y**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoh when three letters picked without replacement from gdaddgodh?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 97971660 divided by 544287\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 12*m**2 + 6*m + 2. Let d(c) = -25*c**2 - 15*c - 5. Let v(q) = 6*d(q) + 15*i(q). Let r(a) = -4*a**2 + 481*a - 481*a. What is r(v(n))?\nAnswer: -3600*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p*p**(-19)*(p*p*p**(-13)\/p*p*p)\/p**(-10))**(-1\/18) assuming p is positive.\nAnswer: p**(19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22690676 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let x be (2*-2)\/(-1 + -1). Let s(n) = n - 2*n + n - 3*n**x. What is u(s(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 9 = -40*r + 43*r, 8*r = t - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*a**4 - 13*a**3 + 13*a**3 + (2*a**2 - a + a)*(6*a**2 + 0*a**2 - 4*a**2) - 7*a**3 - 122*a**2 + 2*a**4 - 4*a**4 + 123*a**2.\nAnswer: -9*a**4 - 7*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2934 (b) 0.3 (c) -0.3 (d) -0.1 (e) -1 (f) 0.54 (g) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1782, -7, -1, 2 in increasing order.\nAnswer: -1782, -7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 (base 8) in base 15?\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/5 + 156*d**3 + 40664*d**2\/5 - 624*d - 162688\/5 = 0.\nAnswer: -328, -62, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -1. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1736 - -1736. Let n = 9 - 5. Suppose 0 = n*m - 5*v - 3 - 3, 0 = -5*m - 2*v - 9. Which is the closest to m? (a) 5 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1218*x**3 + 2724*x**3 + 95*x**3 + 1 + 0 + 4849*x**3.\nAnswer: 6450*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15987*r**4 + 34*r**3 - 1612935?\nAnswer: -63948*r**3 + 102*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -27\/4, 2\/15, -4\/3, -4, -4254\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2451*j + 2890*j + 2404*j + 10*j.\nAnswer: 7755*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233896 is divided by 3716.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -4. What is the units digit of (1*-2)\/(h\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = m - 38, 5*m - 54 = 5*o + 91. Let s(v) = 6*v + 2. Let u be s(2). Let w = m - u. What is the smallest common multiple of w and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 4*l - 265. What is m(-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joj when three letters picked without replacement from {o: 2, j: 16}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3\/7 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*a + 120*a + h = 242*a + 15, 0 = a - 5*h + 8 + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11101 by 653.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 10*i**2 + 4*i + 47. Suppose -2*o + 4*z = 0, -3*o = -5*z - 21 + 26. Calculate b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255433243 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: How many minutes are there between 11:39 AM and 1:42 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 + 26)*(1\/3 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 17*i = -13. Suppose i = 7*d - 22. Suppose 152 = 3*u + u - 4*w, 0 = d*u - 3*w - 198. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2234647927 to the power of 1\/2, to the nearest integer?\nAnswer: 47272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69*4\/(-120) - (-2)\/(-1))*(-18690)\/(-4806).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -59013 (base 10) to base 15\nAnswer: -12743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.089 - 0.049. Let r = p + -0.04. Let x(q) = -q**2 - 3*q + 3. Let o be x(-3). What is the nearest to r in -2\/11, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q**(-1\/2)*q)\/q)))**(11\/3) assuming q is positive.\nAnswer: q**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0) + (-1 - -17). Suppose -13 = 3*n - 28, -3*n + 1005 = 5*p. What is the highest common factor of p and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/21))**(-9\/7)*(d\/(d*d**(-7\/3)\/d*d*d))\/d*d**(-1) assuming d is positive.\nAnswer: d**(-116\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 5*k + 3. Let a be q(-6). Let i be 2 - (-2 + 3 + -1). Is a\/i*104\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4 - 21*a**3 + 21*a**2 + 110*a = 0. What is a?\nAnswer: -11, -2, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. Let m be 190\/57 + (-2)\/(-3). Suppose m*t = -4*y + 836, 0*t - 4*t + 3*y + 836 = 0. Let u(s) = 209 + 2*s**2 - t. Determine l(u(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 61337621826333?\nAnswer: 61337621826329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 347514182 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14350207 is divided by 2994?\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1373 - 1374. Suppose -2*b = -o - 0*b, 0 = 5*o + 3*b + 26. Sort -5, 2, v, o in decreasing order.\nAnswer: 2, v, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = -12, 8 = -p + 2*b. Let m = 2 + p. Suppose -3*v + 262 = m*s, 4*v - 335 - 327 = -5*s. List the prime factors of s.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**4\/6 - 4*q**3\/3 + 2*q**2 - 119*q - 26. Let p(t) be the first derivative of r(t). Calculate p(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3365.\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -1\/10 (c) -1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 7*t**2 + 11*t + 4. Calculate the remainder when 35 is divided by x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 2. Let o = -42 - -36. Let u(p) = -2*p + 4. Let n be u(o). Solve x - 8 = -s*v, -v - 3*x = -0*v - n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*6*((sqrt(192) + sqrt(192) + -1 + -1 - sqrt(192)) + -3))*5.\nAnswer: -720*sqrt(3) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 12. Let w(r) = 21*r**3 - r**2 + 1. Let l be w(y). Calculate the remainder when (854\/l)\/(4\/(-6)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211021100 + 10?\nAnswer: 211021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*s**5 + 102*s**5 + 145*s + 82*s**5 - 1 - s**3 wrt s?\nAnswer: 2040*s**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50603 to the nearest one thousand.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 176136.\nAnswer: 176136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klkikckink. Give prob of sequence icn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -15. Let c(p) = 2*p + 4. What is the remainder when 45 is divided by c(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -817062 by 136177.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnndnidnieiiipidpin. What is prob of sequence de?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 205 = 8*j - 97 - 15, -5*j + 67 = -4*v - 129 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/24)\/(10\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 544 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + -54 - (4 + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 500 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 23. Let x(c) = 2*c + 49. Give 7*l(j) + 4*x(j).\nAnswer: j + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 13*j + 6. Let l(z) = -3*z**2 + 12*z - 6. Let p(d) = -5*i(d) - 4*l(d). Let k be p(-9). Solve 3*o = 4*o + k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 59 + 111 - 52.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161540*b**2 - 3*b**3 - 72*b - 161540*b**2.\nAnswer: -3*b**3 - 72*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by -2.\nAnswer: -91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4632 bigger than 3\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/8)\/(3\/(-4)). What is the third biggest value in -1\/4, n, -0.4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -610 divided by -4548\nAnswer: 305\/2274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Let m be -2*(-3)\/(21\/2). Put 0.4, m, y in increasing order.\nAnswer: 0.4, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -2.49243.\nAnswer: -7.47729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47\/(-2)*(-3 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 18, s: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 25 = -17. Factor 2*t**2 + t + 2 + x*t + 0*t - 3*t.\nAnswer: 2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.2 (b) -4\/61 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*v**4 - 1688*v**3 + 15824*v**2 - 50080*v + 6400 = 0. What is v?\nAnswer: 2\/15, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/14)*a*a*a**(1\/3))**(2\/59)*((a\/(a\/a**(-1)))**13)**40 assuming a is positive.\nAnswer: a**(-644185\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 1 (b) -3 (c) -5 (d) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.33, -1\/4, 4, 1, -6, 5\/37?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16429120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14267026, -14267029, -14267032, -14267035?\n\"Answer: -3*r - 14267023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59457\/5 + 11813. Let p = l + 78. Let k = -137\/12 + 35\/3. Which is the nearest to p? (a) k (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 2. Let u be l(0). Let a be (1224\/(-714))\/(10\/(-14) + 1). Is (-2)\/a + (1520\/6)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10010100010111100010000011?\nAnswer: -10010100010111100010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2505, 14, 305 in ascending order.\nAnswer: 14, 305, 2505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*t - 3474, -3*r + 5*r - 2 = 0. Let z = t + 1080. Suppose z = w + 5*q - q, -q - 1988 = -5*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, o: 9, k: 1}. What is prob of sequence oxxk?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 11*s + 225. Determine z(21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 divided by -10574838.\nAnswer: 161\/10574838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14469 + 14326 - 28795 - 633*m.\nAnswer: -633*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59101883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {p: 5, o: 1, g: 4, n: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032609793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**4\/4 - 8*f**3\/3 - 5*f**2 + 12*f + 2. Let a be g(9). Does 13 divide (2\/4)\/(a\/156)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(1\/4)*k)*k\/(k*k**(-1\/4))*k*k**(-2\/13)*k*k*k**2\/k)\/((k\/(k*k\/(k\/(k\/k**(-5))))*k*k**(-2))\/(k**(2\/5)\/(k*k*k**2\/k*k))) assuming k is positive.\nAnswer: k**(877\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -5755*-521\nAnswer: 2998355","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + -0.74. Let x = d - -0.81. What is x rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(19)*-3 + 0 + sqrt(2299) - (-1*sqrt(19)*-2 - (sqrt(19) + 0 + sqrt(19))*-1))*-3)**2.\nAnswer: 20691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4527*k - 6 + 4527*k + 4 + 2 - 9052*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 6, 29, 72, 141, 242?\n\"Answer: i**3 + i**2 - i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405230 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 2*m**2 - 2*m + 2. Let l be u(2). Let y be ((-35)\/14)\/(l\/16). Solve -12 = -4*k + 9*k + 3*h, -2*k = -5*h - y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2015 and 28\/3627.\nAnswer: 18135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -676, -1364, -2056, -2752, -3452, -4156, -4864?\n\"Answer: -2*i**2 - 682*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178.0667916 + 178.5668. Let i = 0.5 - a. Round i to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 394, 824, 1214, 1546, 1802, 1964?\nAnswer: 2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5808 divided by 3?\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 2d8b2c?\nAnswer: -2d8b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6070, -6071, -6072, -6073, -6074, -6075?\n\"Answer: -d - 6069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111 minus 1024?\nAnswer: -1023.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (620\/50 - (-24)\/(-3))*60\/8. Solve -25*h + 67 + n = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/((-1620)\/24)*10\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, c: 5, a: 6, d: 4}. Give prob of picking 1 l, 1 c, and 2 a.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 266 + -158. Factor -39*c**3 + 42*c**3 - 6*c**4 - 2*c**5 + 3*c**5 + 46*c**2 + 72 - l*c.\nAnswer: (c - 3)*(c - 2)**3*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + (sqrt(108) + sqrt(108)*1 - sqrt(108)) + -5 + 4*sqrt(108)*1 + -1)**2.\nAnswer: -600*sqrt(3) + 2799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3 + 11 = 0. Let l be 41 - (-1 - -1)\/n. Suppose l = 5*c + 16. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 162?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000829892 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -443196459 divided by -3?\nAnswer: 147732153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*n = 18. Let j be 1\/n + (-201)\/18. What is the common denominator of -91\/18 and (-327)\/(-18)*3\/j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -25440b2b?\nAnswer: -25440b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/5)\/((-10)\/(-25)) + 1. Let m(h) = 2 - 8 + 97*h - 93*h + r. Determine m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37691079 by -303.\nAnswer: 124393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1807 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103303 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2066? (a) 5 (b) 0.1 (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.38*0.04.\nAnswer: 0.4552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2 + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1784822 divided by -19.\nAnswer: 93938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (sqrt(304)*3 - sqrt(304)) + -5 + 5.\nAnswer: 1 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -566811 or -566928?\nAnswer: -566811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -243 divided by 130\nAnswer: -243\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6403.391g?\nAnswer: 6403391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*f + 3 = 0, 0 = -f + 1 - 4. Let s be ((0\/2)\/(-2))\/w. Let t = 37 - 38. Sort s, 5, t.\nAnswer: t, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - 2 = 0. Let p(f) = -f**3 - 4*f**2 - 3*f - 2. Let s be p(-4). Let i = s - d. Solve -5*g - 3*j - i = 0, 3*g + 0*g = 3*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, and 1 d when three letters picked without replacement from {g: 3, c: 4, d: 2, e: 2}.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 2. Let v be d(7). Suppose h = -5*o + 3*o + v, -o = -2*h + 3. Suppose o*n - 5*y = -0*n - 835, 0 = y + 1. Round n to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/14 and -85\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, s: 1, h: 1, j: 1, f: 1, q: 1}. Give prob of picking 1 j, 1 f, and 2 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8390406, -8390411, -8390426, -8390457, -8390510, -8390591, -8390706, -8390861?\n\"Answer: -n**3 + n**2 - n - 8390405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8b889 (base 12) to base 9\nAnswer: 313316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -20*i - 56. What are the prime factors of o(-9)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1543?\nAnswer: 4\/1543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 281, 248, 215, 182, 149?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (6 - (2 - 10)) - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31008\/544*-3*(-4)\/(-36)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26640 is divided by 2864?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a - 8. Let f be (12\/(-2))\/(18\/9). What is the tens digit of r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1306723226.9999919 - -1306723293. Let y = 66 - x. What is y rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525781835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**3 - 495*h**2 - 26810 wrt h?\nAnswer: -6*h**2 - 990*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15173658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10.4 in 0.2, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.0058 + 11.28717. Let z = h + 0.723. Round z to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491 divided by -7?\nAnswer: -2491\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 408261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 15. Calculate s(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1 + 1 + 9*d**2 - 2*d**2 - 10*d - 9*d**2. Suppose -4*w - 21 = q - 53, -61 = -3*q - 5*w. Calculate the smallest common multiple of q and n(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 1:11 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*g + 7 = -3*j, -3*g - 8 = 2*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4805 + 10981. Suppose -11*w - 247 + t = 0. Let d = 42 - -7. What is the highest common divisor of w and d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -41 + 157 - j - 71. Suppose 2*z = 7*z - 25. Does 8 divide i(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/6207604 and 47\/26740448?\nAnswer: 347625824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61989662 to the power of 1\/2, to the nearest integer?\nAnswer: 7873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (339 - 347) + (19 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22011 (base 4) to base 5\nAnswer: -10040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -858 + 1404. Calculate the highest common divisor of 624 and v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 1418 = -4*q - 10*w, -21 = 3*w. What is the remainder when q is divided by 69?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142971, 1143736, 3860079, 9149784, 17870635, 30880416?\nAnswer: 49036911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 2*j**2 + 5*j - 7. What is m(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + p + 20 = 5*p, 2*g = 3*p. Suppose -2*a + g + 7 = 0. What is the third derivative of 4*t**2 + 0*t**2 + 3*t**5 + 0*t**a + 2*t**5 wrt t?\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -476 - 478 - 471*b - 79*b + 948 to p + l*b and give l.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -232.2230596867 + 5.1167605567. Let w = 227.0963 + d. Let f = -0.01 - w. What is f rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8835119714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290 and 182590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 580 - 420. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/4 - -2)*(-17 - (-354)\/18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535284 (base 12) in base 3?\nAnswer: 2110211101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(351))\/sqrt(9))\/sqrt(3).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n*n*n*n*n*n\/(n\/n**0))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1697 = -x, -160*f + 156*f - 2*x + 2246 = 0. What is the highest common divisor of 1081 and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 5:40 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/25 and 2\/5975.\nAnswer: 5975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-156)\/10)\/(6\/(-30)). Suppose -h = -o + 290. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 k when four letters picked without replacement from {j: 11, k: 3}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/2 - 76*g**4 + 3034*g**3 - 10952*g**2 = 0. What is g?\nAnswer: 0, 4, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47925 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1188)\/sqrt(11) - sqrt(33)\/(sqrt(11)*-3 - sqrt(11)).\nAnswer: 25*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**4\/4 + y**3 + y**2 + 4*y + 1. Let v be g(-3). Let j = 4.93 - -0.07. What is the nearest to v in j, -0.1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 961*o - 3 = 957*o, -2*z + o = 39 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**2 - 10*h**2 - 4*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -1\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2053 - -20497\/10. Let f = j + -541\/30. Calculate the common denominator of -32\/21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2880 and 5866848?\nAnswer: 58668480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -161? (a) 4 (b) 5 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 7*f - 516 = 476. Let y(u) = -31*u - 4. Let t be y(-3). Let c = t + f. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (9 - 1) + (-328716)\/(-13156).\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221405628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 108 = -x - x, -4*x - 5*a = -203. Calculate the remainder when x is divided by ((-6)\/(-18))\/((-2)\/(-54)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 3. Let h be m(0). Let n be -945 + -2 + 3\/h. Is (n\/18)\/((-2)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -25, 16 in decreasing order.\nAnswer: 16, 5, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 5*k = 2*i + 25, 0 = -5*k - 5. What is the second derivative of -2*c + c - 2*c + 2*c**5 + c**i wrt c?\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107*h**2 - 89*h - 51*h**2 + 38*h**2 - 78*h - 34*h**2 wrt h.\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 466, 1874, 4160, 7264, 11126?\n\"Answer: -10*r**3 + 499*r**2 - 19*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - w + 99. Calculate the remainder when c(0) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -483, -971, -1461, -1953, -2447, -2943?\n\"Answer: -j**2 - 485*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 76 = -112 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/28349766 and -69\/2.\nAnswer: 28349766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2. Let d(j) = -j**2 + j - 1. Let p(w) = 8*w**2 - 6*w + 6. Let c be 9\/2*(-4)\/(-3). Let r(t) = c*d(t) + p(t). What is r(f(s))?\nAnswer: 98*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 29 (c) -0.5 (d) -0.53 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(9\/(-4)) + 12. Suppose -f*p + 11*p - 6 = 0. Suppose 5*l + 15 = 0, -33 = -y - 3*l + p*l. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 4 + 19 - (4 - -2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i**2 - 2 + 2)*(-48*i**2 + 31*i**2 - 52*i**2) + 0*i**3 + 0*i**3 - i**4)*(-33*i + 97 - 97).\nAnswer: -4521*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121896.2mg to grams.\nAnswer: 121.8962","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.07 + -0.07. What is the third biggest value in r, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -183*s + 13*s - 5*s + 875 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -193, -941, -2189, -3937?\n\"Answer: -250*s**2 + 2*s + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1 + 0.1. Let f be (-2)\/((8\/6)\/2). Let o = -0.6 + 0.3. What is the third smallest value in o, f, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4147 - 4147. Solve u = 4*q + 3*q + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 4*l**2 + 8*l - 3. Let x(g) = -15*g**3 - 2*g**2 - 2*g - 1. Let q be x(-1). Suppose -3*c + 15*r + 20 = q*r, -4*c = r - 22. What is w(c)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-187 - -111) + 52 - (9 - -2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281464 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1124 + 2?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 154 - 64\/16. Is 3458\/g - (-2)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -559.03 - 1599847.\nAnswer: -1600406.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 4. Let p be n(0). Let v(g) = -9*g**2 - 15*g + 1. Let y(m) = -5*m**2 - 8*m + 1. Let s(j) = p*v(j) - 7*y(j). Give s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (39 + 17 + -80)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 23 = -25 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/(7420\/(-3960)))\/((-138)\/(-644))?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -62, -0.3, -2.2, 2\/17, -407\/8?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 726*u + 129\/2*u**3 - 660*u**2 - 3\/2*u**4.\nAnswer: -3*u*(u - 22)**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1095*r + 48*r + 2.\nAnswer: 1143*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**4 - 210 - 326 - 2*k**3 - 4*k + 2*k**4 + 78 to m*k**4 + l*k**3 + a*k + v + r*k**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3193 or 0?\nAnswer: -1\/3193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5252 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36551\/18 + -2030. Calculate the common denominator of a and (-70)\/(-18) - 3\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 3*p + 2. Let o(h) = 3*h + 3*h**2 - 1 + 8 - 6. Let a(l) = 5*o(l) - 4*s(l). Determine a(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - 609*o**2 + 4053*o - 20. Let j(f) = 4*f**3 + 608*f**2 - 4054*f + 24. Let i(w) = 6*b(w) + 5*j(w). Find the second derivative of i(k) wrt k.\nAnswer: 12*k - 1228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -606917 or -607360?\nAnswer: -606917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 192915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30358550 and 0.8.\nAnswer: 30358550.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 5*p**2 - p + 5. Suppose -13 + 1 = 2*d. What is the remainder when (4\/d)\/(4\/(-174)) is divided by n(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 82.00162. Round g to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 22*a - 455 = l, 0 = -4*a + 5*l + 385. What is the highest common divisor of a and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98 - 752 - 193 - 334*i wrt i?\nAnswer: -334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.5, 21.8, 2\/8859 in descending order.\nAnswer: 21.8, 0.5, 2\/8859, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16675 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 3*r. Suppose 48 - 59 = 3*t + l, t = 2*l + 1. Let f(n) = 2*n**2 + 2*n. What is t*f(h) + 4*y(h)?\nAnswer: -2*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -47. Is 0.3 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7121, 7134, 7141, 7142, 7137?\nAnswer: 7126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.5. Suppose -2*i = -5*l + 16, 5*i + 3*l = 6*l - 2. Which is the fourth smallest value? (a) 0 (b) i (c) u (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 52. Let q(z) = 68*z + 904. Let g(s) = 52*i(s) - 3*q(s). Determine g(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/16*2904\/33.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1676, 5, 0 in ascending order.\nAnswer: -1676, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108054, -216236, -324432, -432648, -540890, -649164, -757476?\n\"Answer: -o**3 - o**2 - 108172*o + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 280\/13*s**2 + 2\/13*s**3 - 750*s + 76500\/13.\nAnswer: 2*(s - 15)**2*(s + 170)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3305424 divided by 206589\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35783?\nAnswer: 11, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-23))\/(115 + -113)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 10:35 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/11561 and -26\/3.\nAnswer: 34683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**4\/24 - i**3\/6 - 61*i**2. Calculate j(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-3)\/((-135)\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -136216.53 * -4.\nAnswer: 544866.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:18 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:21 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 7:09 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27406344 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.12353087219 and -0.1.\nAnswer: -0.22353087219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) -3\/4 (c) -10 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1673 and 418489?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*x**3 - 34153*x**2 + 34153*x**2)*(-3*x + x + x).\nAnswer: -75*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 179213*a - 717173. Calculate p(4).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -300171 and -298?\nAnswer: 89450958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -8 - -8 - 9 - 8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.4 - -4.5. Let v be (-122)\/671 - -7*(-1)\/22. Let x = -112 + 115. Which is the second biggest value? (a) z (b) 1 (c) x (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 259 = -5*w. Let c = 37 + w. Sort -7, 2, c, 4.\nAnswer: -7, c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 95 + 101 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Let u(f) = f**3 - 4*f**2 + f - 1. Let q be u(l). Solve -k + 0*k = 3*r + 11, 2*r = -5*k - q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -13*n**5\/15 + 124*n**4\/3 - 38*n**3\/3 + 12*n**2 + 2*n + 201. Factor q(g).\nAnswer: -4*(g - 19)*(13*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. Let v = 3 + -2. Which is the nearest to -1? (a) 2\/7 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*w - 43, 0 = 5*i - 3*w - 8 + 33 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 432 (base 5) to base 3\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 66 = -t, 0 = -4*t + 2*t - 4*p + 114. Suppose 159 = 3*u + t. Suppose -3*f + u = -82. Solve 0 = -5*l - 13 + f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 6:51 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 83267931137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*t**3\/3 + 44*t**2 - 672*t - 1040\/3 = 0. Calculate t.\nAnswer: -26, -1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131515 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12480 and 1440?\nAnswer: 37440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 + 1. Suppose 4*g + 3*g = 21. Give f(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/6)*(-13 + 2650\/(-150) + 53).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 59, 2, -25, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-299)\/138*6)\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341 equal to 450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 32 - (-1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d**4 + 0*d**6 + 0 + 13\/6*d**3 + 1\/15*d**7 - 23*d**2 + 0*d**5 + 0*d. Find the first derivative of i(t) wrt t.\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**2 - 10*s**3 - 12*s**2)*(-s + 1 - 1 - 3*s + 0*s + 2*s + (-4*s + s + 5*s)*(-5 + 3 + 1) - 3*s + 2*s + 0*s).\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 918695.5 millilitres?\nAnswer: 918.6955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:42 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*k**2*n**4 + 294601*i*k*n**3 + 5*i*k*n**2 + 6*i*n**2 + 2*i + 146*k**2*n wrt n?\nAnswer: -48*i*k**2*n + 1767606*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 + 65240*p**2 - 31*p - 549 wrt p?\nAnswer: -12*p**2 + 130480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 74222010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -301*m**5\/5 + 242*m**3\/3 - 275. Find the third derivative of c(j) wrt j.\nAnswer: -7224*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60773.1 and 0.05.\nAnswer: 3038.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 845599, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1\/(2\/(-11))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttuuttttu. Give prob of sequence tutu.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**4\/5 - 9291*s**3\/5 + 488604*s**2\/5 - 1659792*s + 9069120 = 0.\nAnswer: -3149, 12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + l + 4. Give q(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770 + 417 = 30*a - 430 - 183 for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 176, -9\/11.\nAnswer: -9\/11, 157, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6 + 17*k**3 + 7*k - 24*k**3 + 8*k**2 + 10*k**3 - 2*k**3 + 0*k**3. Give j(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23\/4 (b) -0.5 (c) -382\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -60\/967 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let l(r) = 52*r - 26. Let w(f) = -f**2 + 15*f - 10. Let j be w(16). Let y(o) = -o + 1. Let c(v) = j*y(v) - l(v). Give c(z(t)).\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -6. Let a = i - -88. Solve -a*p = -5*p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and -11.2?\nAnswer: 17.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n + 28*n = -4*f + 3, -5*n + 19 = -3*f. Solve -3*x + f*i = -3*i + 11, x = -5*i + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 26 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*f + 301. Let l = f - 71. Calculate the highest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1933296.9 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 54 = -j, 2*j = -m - 134 - 19. Do -78 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3814\/29, 1, 1\/14?\nAnswer: 3814\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -800897 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 70, 4, -314, -4, 18 in decreasing order.\nAnswer: 70, 18, 4, -4, -5, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1868002966 + 3*x**3 - 1868002966.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2214324348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + r - 1. Let j(p) = -p**2 - 3*p + 12. Let m(l) = -l**3 - 9*l**2 + 32*l + 107. Let g be m(-11). Calculate g*y(x) - j(x).\nAnswer: -2*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001110110000 (base 2) in base 9?\nAnswer: -6820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 23, -0.1, 0.02, 4, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*k + 14, 5*k + 3*p + 6 = 2*k. Let u(a) be the first derivative of a**k + 0*a + 1\/4*a**4 + a**3 - 1. Suppose u(l) = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -11, 2364, 5 in descending order.\nAnswer: 2364, 34, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5193*g - 4320*g - 1434*g + 2740*g as z + u*g and give u.\nAnswer: -8207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001788 rounded to five dps?\nAnswer: 0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*f**2 + 35*f**2 - 74*f**2 - 21*f**2 - 43*f**2.\nAnswer: -280*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8 - 1. Let l be (-1 + p - 0)*1. Let k be 9 - (0 - 1*-2). Solve k = -5*f + l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + i - 65. Solve i + 3 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3842 + -40?\nAnswer: 3802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, c: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3642131.\nAnswer: 17, 214243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let u be (1 + 4)*(-4)\/(-10). Suppose 2*f + 0*n = -5*n - 5, n + 13 = u*f. Solve z*q = f*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -282, -561, -852, -1155, -1470, -1797, -2136?\n\"Answer: -6*l**2 - 261*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6489 greater than 6489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 288*i**2 - 4611*i**2 + 2 + 13 to the form j*i + b + p*i**2 and give p.\nAnswer: -4323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**35\/m)*m*m)\/((m*(m\/m**14)\/m)\/m)*m**(-11\/6)*m**(-31))**(10\/7) assuming m is positive.\nAnswer: m**(-1495\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211855471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -21. Let y be (0 - u)\/(6\/4). Solve -b + 3 = y*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 4*f - 20 = 0. Let a be (-2 - (3 + f))*6. Is 1 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoxox. Give prob of picking 1 h and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 15800?\nAnswer: -3\/15800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*x - 108*x + 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 - 103. Let h = x + -461\/23. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*n + 4 + (2193 - 692 + 152)*(-2 + 2 + 2*n).\nAnswer: 3308*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/3409224 and -31\/470976.\nAnswer: 300011712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u**(-3\/11)*u)))*u*u**(-2))**(19\/5) assuming u is positive.\nAnswer: u**(-152\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 314, 469?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 67\/2. Let h = -11 - -26. Let u be (-28)\/6 - (-10)\/h. What is the second smallest value in 4, u, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22013596*p + 2378 - 1779*p**3 + 22013596*p with respect to p.\nAnswer: -5337*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33312030 - 313?\nAnswer: -33312343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1014, 1230, 1590, 2094?\n\"Answer: 72*j**2 + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(60)*5 - sqrt(60)))\/((sqrt(2000) - sqrt(20))\/sqrt(4)).\nAnswer: -16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 153556168 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 times -0.19?\nAnswer: -28.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102123377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67789 (b) 1\/23 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 748248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - (-6 - ((11 - 3) + -13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 7 (c) 3\/5 (d) 0.042\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 67 = -t - 2*t, 5*t - 135 = 3*d. Let m(x) = -61*x**3 - x**2. Let w be m(-1). Calculate the greatest common factor of w and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 - 6 = u, -5*n + 18 = 2*u. Solve 12 = -f - n*w, 13*w = -3*f + 12*w + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {p: 6, w: 2, r: 11}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35824478?\nAnswer: 2, 23, 778793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22052897?\nAnswer: 22052897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 not equal to -896732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -143900 to the nearest one thousand.\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*y + 332*y - 671*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6*(-3)\/(-189))\/((-3)\/14). What is the second smallest value in 5, -4, r, 0.02?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(21\/36) - -2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19cd (base 16) to base 5.\nAnswer: -202410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 16. Let r(v) = 62. Let t(p) = -21. Let d(b) = -6*r(b) - 17*t(b). Let s(u) = 3*d(u) + 4*z(u). What is the derivative of s(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*y - 3*y + 2*w, 3*y = 2*w + 18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - t**2. Let p(q) = 2*q + 2*q**2 - 1 - q**3 + 0*q + 0. Let s be (-247)\/(-4)*1 - (-1)\/4. Let k = s - 61. Give k*p(c) + 2*z(c).\nAnswer: c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2075? (a) -5\/13 (b) 0.4 (c) 2 (d) 2\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 10140*j = 10136*j - 12, 7*j = -0*p - 0*p - 4*p - 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 55 = 13*n. Suppose -7*o = -121 - 145. Calculate the least common multiple of o and n.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2604 - 2329. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 42*w**2 - 4*w + 60. Give l(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23163884 and 234697?\nAnswer: 22929187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2309119747 rounded to four dps?\nAnswer: -0.2309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*h - 55 + 160 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -104*b - 106. Let h(g) = -49*g - 49. Let z(k) = 13*h(k) - 6*n(k). Let w = 15 + -13. Let j(q) = -3*q. What is w*z(i) - 9*j(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33974, 33991, 34008, 34025?\n\"Answer: 17*y + 33957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -2\/5, 24?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) - (sqrt(330) + -2*sqrt(330)))\/sqrt(6))\/((-2*sqrt(99))\/sqrt(9)) + 5*sqrt(30)\/sqrt(6) + (2 + -2*sqrt(5) + sqrt(5))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waw when three letters picked without replacement from wpavpwpaxmxaxvwwp?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 4*s - x - 10, s + x = 10. Suppose -s*o + o = -8. Find n, given that 0*n + 21\/2*n**4 + 0 - 8*n**3 + 2*n**o - 9\/2*n**5 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 3*d - 4. Let m(f) = -3*f**2 + 6*f + 8. Let s(y) = 5*g(y) + 2*m(y). Let n be s(-4). Let c = n + 23. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4194 and 5126.\nAnswer: 46134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.5 + -27.5. What is the fourth smallest value in 0.3, -0.8, -3\/7, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 77090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44878912 to 3 decimal places.\nAnswer: -0.449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -0.27, 0.4, 2, 1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61\/(-154) + 33\/154.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*(y*y**13)\/y)\/y)\/(y\/(y**(-3\/8)\/y*y)))**(-41)*((y*y\/(y*y\/(y*y**(-1\/8))))\/y**14)**21 assuming y is positive.\nAnswer: y**(-3173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 926, 2087, 3712, 5801, 8354?\nAnswer: 11371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0)*(-44)\/(-88).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 6*z + 4. What is n(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 42*k**2 + 252*k + 4. Let a(l) = 215*l**2. Calculate q(a(o)).\nAnswer: 1941450*o**4 + 54180*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 548*s**3 - 57*s**3 - 3*s - 490*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t - t + 2*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195045818 to the nearest integer?\nAnswer: 13966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*324\/(-102) - 2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.82, 1\/4, 0.4, -83?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/800)\/(-5*(-3)\/(-20)))\/((-9)\/(-5))?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274429, -1097685, -2469765, -4390669, -6860397, -9878949, -13446325?\nAnswer: -17562525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -7. Suppose -k = -p*k + 8. Is (-6)\/(-1 - k) - -75 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 27*g + 13. Suppose -2*x - 3*h = 49, -4*x - 2*h - 92 = 2*h. Is q(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.129 - -0.471. Let d = -3.9 + 4. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -3 + 945\/(-3). Let k = r + 679. Suppose -2*x - 53 = 2*l - k, 0 = -3*x + 4*l + 434. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706098961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -2*z + 51. Let k(q) = 10*q**2 + 11*q + 28. Is k(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 23*a**6\/360 - 41*a**4\/24 - 25*a**3\/3 + 39. Let c(k) be the third derivative of i(k). Differentiate c(p) wrt p.\nAnswer: 46*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 2:44 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -498*i + 2194. Give h(4).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from yzp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(-5 + 2 + 0)*(-3*q + 4*q - 5*q) in the form y + m*q and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52750.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let u(x) = -x**3 + 5*x**2 - 20*x + 66. Let s be u(4). Find the second derivative of -7*q + 2*q**3 + 7*q**f + q**3 + s*q**3 wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.4*0.16844\nAnswer: -0.572696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5.1. Let b = 326 - 225. Let s = 101.7 - b. Put s, -5, -2, v in increasing order.\nAnswer: -5, -2, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4858*s - 1611 = 5037*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2616 is divided by 187.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 2*d**2 + 0 + 1\/20*d**5 + 0*d + 1\/6*d**4 - 1\/6*d**3 - 1\/120*d**6. Give a(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 - 5*x + 1. Let y be 4 - 0\/(-1 - -2). Let u(l) = -l**3 - 4*l**2 + 4*l - 1. Determine y*j(c) + 5*u(c).\nAnswer: -5*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -298*(-5)\/(-210) + -3 + (-6)\/(-63)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 1. Let p(k) = -k**2 + 3*k + 8. Let z be p(4). Let u = z + 2. Let w be n(u). Put 2, -2, w in descending order.\nAnswer: 2, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -228868525295 - 4.\nAnswer: -228868525299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 949394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 1, 15, 5, -89 in decreasing order.\nAnswer: 15, 5, 1, -28, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-5)*10\/(-69)*-1. Is 0 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-2 - 5 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-72 - -31) - 43.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-78)*3\/(-4). Sort 5, y, -7 in increasing order.\nAnswer: -7, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3212\/915, -0.5, 1?\nAnswer: 3212\/915","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*u**2 + 4*u**2 - 4*u**2)*(-16 + 4 - 38) + 3 + u**2 - 3)*((-6 + 4 + 1)*(-3 + 1 + 3) - 1 + 3 + 0) to the form z*u + f*u**2 + s and give f.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1055 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 18. Let c be j(-9). Suppose -c = -3*n + 3. Let k be n + (-61)\/11 + 1. Is k at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1110 and 99789.\nAnswer: 997890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 1 = 55. Suppose 2*i + 4*b - h = -i, 0 = -i + b + 7. Solve i*k = 7 + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-40) - (44\/(-10) + -3). Suppose -21 + 7 = -p*v. What is the remainder when v is divided by (-32)\/(-14) + 4\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d + 39. What is a(-13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*a + 36 = -2*h, 0 = -3*h - 5*a + 100. What is the remainder when h is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -33\/2, 0.9, -49276?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 819*q**2 + 3*q - 1 - 87*q**2 + 4*q.\nAnswer: 732*q**2 + 12*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 16, -251 = -2*g - g + 2*h. Suppose w + 4*i - g = 0, -5*w + 166 + 217 = -2*i. List the prime factors of w.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u - s + 22, 3*u - 2*s = 21. Let v be (36\/(-16))\/((-3)\/16). Let h(d) = v*d**2 + 15*d**2 - 19*d**2. Let t(g) = g**2. Calculate u*t(q) - h(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjjkjjnkjkzoo. What is prob of sequence jo?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 24 = 5*t. Let x be ((-6)\/4)\/((-3)\/t). Suppose -3*v = x - 45. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211111 (base 6) in base 7?\nAnswer: -100606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2334 = -0*v. Let g = 70 + v. List the prime factors of g.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 12:50 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (19 - ((43 - 7) + -3)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 66?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9065, 18161, 27283, 36443, 45653, 54925?\nAnswer: 64271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(14\/(-35)) + (-29)\/(-21)*3. What is the nearest to 0 in 22, t, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*x - 6, -2*u + 3 = x - 6. Suppose u*f + 5*k - 1130 = 0, 6*f = 4*f - k + 450. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 23. Let u be (f + 32\/(-12))*-21. Let g be 6 - 3 - 38\/u. Which is the third smallest value? (a) 0 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 446 = -12*y + 3*z, 0 = z - 1. Let r = y - -844. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-3)\/(-18))\/(315\/1071*17)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + sqrt(272) - (sqrt(2448) - (sqrt(2448) + sqrt(2448)*1 + sqrt(2448) + -1) - sqrt(2448)).\nAnswer: -3 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2215172.\nAnswer: 1\/1107586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9551210?\nAnswer: 2, 5, 23, 131, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n + 192*n - 1440 = 32*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007700557 rounded to 6 decimal places?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 + 3 - 1 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**7\/420 - b**6\/90 + 2*b**5\/15 + 7*b**3 - 1. Let c(v) be the third derivative of t(v). Determine y, given that c(y) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662107 = -26*v + 241445. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 1175?\nAnswer: 15275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 plus -2.9?\nAnswer: 741.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 3:37 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40173, -40172, -40171, -40170, -40169?\nAnswer: -40168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**4 - 7*s + 45. Suppose 0 = 4*b + 35 - 7. Let j = -4 + 9. Let t(y) = 3*y**3 - 5. Determine b*t(h) + j*i(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 19*k - 22*k + 12837, 0 = -3*k + 15. Are c and -4273 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = 3. Let b(i) = -i**3 - 5*i**2 + 3. Let l be b(k). Let f(j) = -3 + 2*j**3 + 2*j**3 - j**l - 4*j**3 - 5*j**2. Calculate f(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + n**2)*(-2*n**2 + n**2 + 3*n**2) + 3*n - n**4 - 3*n)*(-2*n + 3*n + 2*n).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-9)\/((-27)\/(-2))). Suppose -3*n = -q - u*q - 17, -q = -2*n + 8. Solve 3*j = -5*f - 10, -25 = -n*j - 2*f + 4*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 10660?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 1. Let f(g) = 1. Let t be ((-2)\/6)\/((-2)\/30). Suppose t*h + 3 - 13 = 0. Determine h*v(b) - f(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -157, -215, -273?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287477, -574952, -862427, -1149902, -1437377, -1724852?\nAnswer: -2012327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.2581, 2, 12 in descending order.\nAnswer: 12, 2, -3.2581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/60 - k**4\/6 - k**3 - 9*k**2. Give b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 528 and 246?\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 495795295 to the power of 1\/2, to the nearest integer?\nAnswer: 22266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 6*l + 72. Suppose -6*u + 9 = -5*u. Do l and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - j - 1. Let t be y(0). Let x be (11\/(-11))\/((-4)\/(-948)). Let k = 245 + x. Put 3, k, t in descending order.\nAnswer: k, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37, -70, -83, -64, -1, 118?\n\"Answer: 2*r**3 - 2*r**2 - 41*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 0 - 28\/11*o + 18\/11*o**2 - 2\/11*o**3 = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5140807.\nAnswer: 7, 734401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -417, -403, -387, -369, -349, -327, -303?\n\"Answer: v**2 + 11*v - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000549 rounded to 6 decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146477876, -146477877, -146477878?\nAnswer: -146477879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2. Let s(z) = 42*z - 37. Let m be s(7). Let w(l) = -m + 257 - l**2. What is o(w(j))?\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -719587000 to the nearest 1000000.\nAnswer: -720000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16b0b5a (base 13) to base 12.\nAnswer: -2575528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2056068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - 8 - 3*f**4 + 6 - f**2 - 7*f**3 to the form b*f**3 + v*f + m*f**4 + c*f**2 + s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/6)\/(-11)*12\/(-3). What is the nearest to v in 3, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 55 - 52 = 23*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:16 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/409 in -1\/2, 2, 2779?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 12:10 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.5 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 1. Suppose -i = -3*i + 24. Suppose -3*g - 5*h + 23 = -i, h + 16 = 4*g. Suppose g*y - 10 = 7*y. Determine x(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(0 - -4). Let t = -545 - -544.9. Which is the third smallest value? (a) s (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.1, -1\/5, -4, -5\/4.\nAnswer: -4, -5\/4, -2\/5, -1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0*r**3 + 6*r**2 + 0 + 1\/2*r**5 + 0*r + 41\/24*r**4. What is the second derivative of u(a) wrt a?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 173.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2775001*l**3 + l**2 + l + 2. Let f be v(-2). Let p = -40 - -40. Suppose -4*z - 88799991 = 3*k, z + p*z - 4*k = -f. Round z to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949022 is divided by 202?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 2. Let z be s(2). Let t(l) = 7*l**2 - l + 9. Let j(a) = 20*a**2 - 2*a + 26. Let c(n) = -6*j(n) + 17*t(n). Let p be c(z). Solve -p + 2 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 251\/16 + -14251\/912. Let m = w - -2\/19. Let r = -19 + 19. Which is the smallest value? (a) m (b) -3\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1 - (-10)\/(-5). What are the prime factors of (3 - i) + 5*3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.41 times 0.6301?\nAnswer: 2.148641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -377 - -821. Solve 445*i = t*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2470 by 47.\nAnswer: -2470\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**0\/a**8*a**5*a**(-1\/2) assuming a is positive.\nAnswer: a**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, -0.4, 1947, -4\/9, 0.2, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**2. Let s(m) = 2 + 15*m - 11*m - 2. What is s(z(p))?\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1456200, 1456216, 1456232?\n\"Answer: 16*k + 1456184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9385*s**2 - 1207*s**2 + 10587*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 22, 35, 46?\n\"Answer: -i**2 + 18*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 385*y**2 - 644488*y - 3348.\nAnswer: (y - 1674)*(385*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3\/2 + 403*h**2\/2 + 773347*h - 6199416 = 0?\nAnswer: -1063, 8, 1458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 32*q - 200. What is y(53)?\nAnswer: -1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2391345 and 59\/50?\nAnswer: 23913450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-8) - (-2192691)\/1128. Let w = 1948 - f. Factor w - 3\/4*a**2 - 3\/4*a.\nAnswer: -3*(a - 2)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2156 and 539000.\nAnswer: 539000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - 39 - (1 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 109*q - 197. What is the remainder when k(2) is divided by 1\/2 + (-38)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-7 + (12 - 14))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:20 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*k = -k - 8, -2*k - 12 = -4*d. Let f be 1 + 1\/(-1) + d. Is (-3 - -86)\/(f\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 + 9*k**3 + 165*k**2 - 9*k - 162 = 0.\nAnswer: -6, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583785373 to the power of 1\/3, to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 4. Let p be h(-6). What is b in 3*b - b - 28 + p*b**2 + 28 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 + 6*t**2 - 8*t - 6. Let g = 2588 + -2581. Let h(v) = -4*v**3 + 7*v**2 - 8*v - 7. Give g*z(f) - 6*h(f).\nAnswer: 3*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -45. What is the smallest value in h, 2, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 1 - 13*v**2 + v**2.\nAnswer: -14*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = u - 24. Suppose 2*h = 2*g + 332, 4 = 31*g - 33*g. Let d = h + -155. What is the greatest common factor of d and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000854112157 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 21*m - 7. Calculate r(14).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 413, 678, 943, 1208?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 336*q = 332*q + 25, 5*o + 4*q - 15 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-2))\/40*12\/(-7).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2184*i**2 + 29 + 155*i + 2185*i**2 - 298*i - 29 + 143*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -48\/5, 1, -6, 2, 10\/49 in decreasing order.\nAnswer: 2, 1, 10\/49, -6, -48\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456656236 to the nearest integer?\nAnswer: 21370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -0.089006857797.\nAnswer: 2.089006857797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2556848988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**4 + 8*v**3 + 28*v**2 + 16*v = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 33*s**2 - 27*s + 30. Let m be o(34). Calculate the highest common factor of m and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7389952.\nAnswer: 2, 28867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:40 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, g: 5, n: 2, b: 1, f: 3}. Give prob of sequence hfng.\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**7\/105 + q**6\/15 - q**5\/10 - q**4\/3 + 4*q**3\/3 + 2*q**2 + 1. Factor m(x).\nAnswer: -2*(x - 2)**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -30*v**2. Let r(j) = -247*j. What is r(q(d))?\nAnswer: 7410*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 303874789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 - 3. Suppose -5*d - 55 = -4*c, d - 108*c = -113*c + 18. Let q(s) = -11*s**3 + s - 10. Calculate d*u(r) + 2*q(r).\nAnswer: 6*r**3 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112566 by 1.\nAnswer: 112566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37214 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from ssalzsastsassalsllz?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-41)\/2870). Let b = -14 - v. Calculate the highest common divisor of 147 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 111275*h - 2.\nAnswer: 111275*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 242494223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 1227060*i**3 - 99545353440*i**2 - 2600263448723200*i + 5620659822060840960.\nAnswer: -5*(i - 2004)*(i + 82472)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose 4*r - 21 = -3*a, 0 = -2*r - s*a + 19 - 7. Suppose l = -r*x + 34, -2*x + 7*x - 58 = -3*l. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 15 = 2*v - 19*u + 5 - 10, 4*v - 4*u + 44 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 935 = 94*n - 8*n + 161 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in 2\/31, 0.4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -242 + 86. Let t = -156.00073 - z. What is t rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 694 divide 36302713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -24*z + 49. Calculate v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -7*q**4\/2 + q**3 + q**2 + 33*q + 47. Find the second derivative of s(f) wrt f.\nAnswer: -84*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 228 = -47*j + 155 + 254, -5*j - 2 = -3*f - 1 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -8 + 23. Suppose 0 = f + g - 25, 5*f + g - 72 = 49. Suppose 8*s + 4*s = f. Solve s + b = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/225)\/(4\/(-10)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14110 and 0.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 157510498853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 3:49 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 4, l: 1, b: 5, x: 4, e: 3}. Give prob of picking 1 k, 2 z, and 1 b.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1321\/3 + 426. Let n = w - -72\/5. Is n not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = 4*r, 4*r + 2 = -k - 2*k. Let p = r - 2. Let u(z) = 44*z**2 - z - 1. Is 22 a factor of u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8406 is divided by 324?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4617 and 36081?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4087 + -4165 + 145 + -1.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 66*s + 85. Determine k(-67).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 303418 + 62775. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*l + 4*u, 0 = 3*l + 20*u - 17*u - 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 21*u**2 - 25*u - 1. Let t be k(17). Suppose -2*y = -2*h + 4*h - 3328, t = 2*h + y. Does 33 divide (h - 7)\/5 + -1 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - u**3 - 4*u + (-u + 3*u - u)*(-4*u**2 + 4*u**2 - 2*u**2) + 284*u**2 - 282*u**2 + 1894*u**3 - 417*u**3.\nAnswer: 1474*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 236355 divided by 1487\nAnswer: 236355\/1487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-16)\/(-20)) + -2. Suppose 0 = 4*x - m*x - 2. Find t, given that 0 - 4\/7*t + 2\/7*t**x = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p\/(p*p**(-4)))**(-2\/99)*(p\/(p*p**(1\/16)*p*p))\/(p*p\/(p\/((p**(-4\/11)*p)\/p))) assuming p is positive.\nAnswer: p**(-409\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 + 697 = 74*v - 696. Suppose 4*z + 3 = 15. Suppose -z = -p - 0*p. Solve p*k - v = -0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 42*i = -28*i - 33 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39320*j**3*q**2*z - 2*j**3*q**2 - 6748*j**3*q*z + 9251*j**3 - 2*j*q**2 - 3*q**2 wrt z?\nAnswer: 39320*j**3*q**2 - 6748*j**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 6*z**2 - 91*z - 191. List the prime factors of m(-7).\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0*f**6 - 1\/45*f**5 + 2*f + 0*f**2 + 1\/27*f**3 + 0*f**4 + 1\/189*f**7 + 0. Factor r(v).\nAnswer: 2*v*(v - 1)**2*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23)\/6 - 3\/18. Let t = 31 + -31.029. Let i = t - 0.011. What is the second smallest value in i, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 17918*n - 17922. Determine m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 3*k + 5*k)*(-2 + 3 + 5)*(2*k - 3*k + 2*k).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 t when four letters picked without replacement from {m: 3, t: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3768)\/10362*(22\/5)\/(-1).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:24 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 647253 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -23*k - 28. Let r be 2\/(-7) - k*90\/84. Suppose -f - 236 = -2*h + 10, -f = -r*h + 488. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 - (-1)\/2*2 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 6*l + 6112 - 6121 = 0, 5*x = 4*l + 33 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 1505.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -38*n. Let r(b) = b. Let x(y) = -5*y. Let s(q) = -6*r(q) - x(q). Determine t(s(i)).\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - y**2 + 924*y - 6082. Calculate h(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*n = -99*n + 164 - 90 + 124 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*(-3 + 0 - -1). Let h be (-4)\/((-48)\/(-15)) - -1. Let p = 0 + -3. Which is the nearest to h? (a) 5 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291545*a**3 - 583101*a**3 + 291551*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1122434*z**3 + 6*z**2 + 3*z - 1763181 wrt z.\nAnswer: -6734604*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 7*j**2 - 7*j - 8. Let h(u) = -u**3 - 29*u**2 + 3*u + 95. Let n be h(-29). Calculate k(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/423168 and -93\/873088?\nAnswer: 151917312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344*r*s**4 - 2*r*s**2 - 73*r*s + 1889*r + 2*s**4 + 4015*s**3 + 2*s**2 + 2 wrt s?\nAnswer: 8256*r*s + 48*s + 24090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/5))\/(((t\/t**(-3\/7))\/t)\/t))\/(t*(t*t**(4\/7)\/t)\/t*t**8*t) assuming t is positive.\nAnswer: t**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-5 - -3) + 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 845, 858, 895, 968, 1089, 1270?\n\"Answer: 2*b**3 - b + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*a + 10 - 33 = 0, -4*a = 3*z - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 - -81. Let k = b + 44. Is (-54)\/(-3) - (2 - k) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*j**2 + 4*j**3 + 36*j**2 - j**3 + 5*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 a factor of 32644283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 1)*(-2*k**2 + 6*k**2 - k**2)*(-178*k + 335*k + 89*k) to y + n*k**2 + a*k + v*k**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z + 185 = 0. Calculate the remainder when 71 is divided by z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Suppose -x*s - 71 - 1 = 0. Let j = s - -26. What is the smallest common multiple of 3 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4110*m**4 + 42*m + 6084. Let p(n) = -1026*n**4 + 10*n + 1521. Let z(b) = 5*g(b) - 21*p(b). Differentiate z(s) wrt s.\nAnswer: 3984*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26520 + 36?\nAnswer: 26556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/72 and 71\/63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035459 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*k + 9, -4*d - 12 = -4*k - 0. Find the third derivative of -1 - k - 31*x**5 + 10*x**2 + 14*x**2 - 14*x**2 wrt x.\nAnswer: -1860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 6 - 10. Let j be (-4)\/y - (-2)\/2. Solve -j*b + 9 = 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -7. Suppose z + 2*z = -3*m + 18, z - 20 = -3*m. Let i = m + x. Solve -2*c - i*c = 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198*p**2*y - 735039*p**2 - 4*p + 12070951*y wrt p.\nAnswer: 396*y - 1470078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10152, 20211, 30270, 40329, 50388?\nAnswer: 60447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -98. Let a(y) = -7*y**2 + 14*y. Let o(t) = 20*t**2 - 41*t. Let p(g) = z*o(g) - 7*a(g). What is the second derivative of p(v) wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 + o - 3. Let q be r(-3). Suppose 205 = 5*z - 360. Let l = z - q. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127581.73363 + -127583. What is u rounded to two dps?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 - c. Let y = 1 - 0. Let t be j(y). Suppose -t*o + 0*o = -6. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/130 and 17\/17*122\/(-100).\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -24*o - 81 - 264 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 23*c - 69. Determine x(13).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11350 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45416478, -90832959, -136249440?\n\"Answer: -45416481*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167108678 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 20. Suppose 6*t - o = 14*t. Is 29 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w - 96. Let c be l(25). What is the tens digit of ((-1)\/(-3))\/(c\/3564)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-156 - 56 - 38)*(h + 5*h - 5*h + 5).\nAnswer: -250*h - 1250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*v**3\/3 - 35755*v**2\/3 - 5812625*v\/3 - 528125\/3.\nAnswer: -5*(v + 325)**2*(11*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153\/548 + 4\/137. What is the nearest to -6 in n, 0.1, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 54978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5\/4 (b) 2 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/((-9)\/(-108))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -107041 (base 8) to base 5\nAnswer: -2131020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5 - 344*x**4 + 10620*x**3 - 31408*x**2 - 178430*x + 558600 = 0.\nAnswer: -4, 3, 5, 35, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = -5*b + 2227. What are the prime factors of b?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and -0.1.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + 0 + 54*(-18)\/(-4)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 37. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v - 2. Let a(x) = 13*x - 8. Give 2*a(b) - 9*w(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 296473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 282\/17 at least 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 485517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**6\/1080 - i**4\/72 + i**3\/3 - 2. Let t(u) be the third derivative of x(u). Suppose t(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32154091 by -32154091.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-370)\/(-70) + 2\/(-7) + 0. Solve -p*g = 2 - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 14 = -49*n, -3*o + 2*n - 339442 = -339383 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*k = 85*k + 48 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3, -0.26, -25, -0.5?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5981105 to the nearest integer?\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times 238097?\nAnswer: -40476.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 551.8685 millilitres in litres?\nAnswer: 0.5518685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300968313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505780.49 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 236 and 6431.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-17)*l*l))**(-20) assuming l is positive.\nAnswer: l**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -782*g + 7 - 42*g - 4 - 1 - 975*g as k*g + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*k - 3. Solve 2*h = -4*v, -12 = 3*v - k*v + h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6818615, -13637231, -20455847, -27274463?\n\"Answer: -6818616*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 137204 divided by 1779\nAnswer: 137204\/1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -158627, -31 in decreasing order.\nAnswer: -1, -31, -158627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 14. Suppose 0*c**4 + 1 + v - 4*c - 5 + c**4 + 6*c**2 - 4*c**3 = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 322*q**2 - 3058*q + 19267. Determine m(-312).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -6, -5 in descending order.\nAnswer: 9, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 13 = -94. Is o at most as big as 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165200103?\nAnswer: 3, 18355567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17148377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4, 2*u - 5*u + 2*a + 7 = 0. Suppose 0 = -u*f - 7 + 52. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11142861 to the power of 1\/2, to the nearest integer?\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -178\/13 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160917 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/120 + 7*v**5\/60 - v**4\/4 + v**3\/2 + 22*v**2. Determine d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, 17, 98, 273, 578, 1049?\n\"Answer: 6*h**3 - 7*h**2 + 2*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**3*h*u*x + 8*c**3*h*u + 5*c**3*u**2 + 3*c**2*u - 8*c*h*u - h*u**3 + 32*h*u**2*x - 3*h*u**2 wrt u?\nAnswer: 10*c**3 - 6*h*u + 64*h*x - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or 1\/27738566?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*a + 3*a - 12, -4*j - 6 = -5*a. Let p be (28\/13 - a)\/(-1). Let c = 0.13 - -0.07. What is the nearest to -1 in c, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013671 times 0.1?\nAnswer: 0.0013671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3398095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvxyvuuwuu. Give prob of sequence uvw.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.00201499?\nAnswer: 0.00604497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94279 + 222896. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 9*y - 147. List the prime factors of z(-19).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14762?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 73*g + 958. Let o be m(-7). Let y = -465 - -172. Let h = y + o. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-15)*1 + 364\/260?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2965 is divided by 2889.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -168?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16509 - -53764. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2212*j + 2214*j + 5*n - 18 = 0, -j - 5*n = -14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3861 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-32))**(1\/27))**(5\/6) assuming k is positive.\nAnswer: k**(-80\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. Let u = -4.2 - o. Let z = 9.988 + -10.988. Which is the nearest to z? (a) 0.4 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Let d(t) = t**2 - 2*t - 24. Let i be d(-4). Solve -k*h + i*h + 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:53 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1246 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-148 - -154) + (-4 - -2 - 32) - 3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/((-1484)\/(-318)). Let d(b) be the first derivative of x*b**4 + 4\/35*b**5 - 2\/7*b + 3 - 5\/14*b**2 - 2\/21*b**3 + 1\/42*b**6. Factor d(i).\nAnswer: (i - 1)*(i + 1)**3*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**3 + 5*f**2 - 6*f + 3. Let a(w) = 3*w**3 - 412 + 3*w - 3*w**2 + 410 + 0*w. Let k(l) = 7*a(l) + 4*y(l). Determine k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 1632*y. Let a(u) = -10*u. Calculate a(l(g)).\nAnswer: -10*g**2 + 16320*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 5 + 4)*(-3*h - 149 + 149).\nAnswer: -51*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 2.5. Let n = 0.025 + 0.275. Let l = -3335 + 3334.7. Sort r, l, n, -0.05 in decreasing order.\nAnswer: r, n, -0.05, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215922.\nAnswer: 2, 3, 7, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04063 - 24?\nAnswer: -23.95937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3329 - 3287. Calculate the greatest common divisor of 138 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6762 and 9660?\nAnswer: 67620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/381292 and -39\/4180.\nAnswer: 20971060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -110 + -4?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6592 divided by 212\nAnswer: 1648\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z + 1829 - 909 - 909. Let q be r(-5). What is the highest common divisor of 32 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2328 and 443096.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*p + 109010 + 27171, -4*p + 181596 = 4*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10 - 200 = -4*o, -3*o = -4*v - 143. Calculate the greatest common divisor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3268*p = -163139 - 49281 for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-12))\/(2\/12). Let m be g*2\/(-6)*1. Suppose -3*o + 23 + m = 0. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (170\/(-3))\/((-3)\/252)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -1\/6*f**6 + 7*f**2 + 0*f + 0*f**5 + 13\/24*f**4 + 0 + 0*f**3. Find the second derivative of w(b) wrt b.\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**2 + 0*l**2 + 4*l**2 + (0 - 1 + l - 3*l + 3*l + 21*l + 16*l + (-5*l + l + 3*l)*(-1 + 4 - 5) - 6*l + 3*l + 2*l)*(l + 1 - 1).\nAnswer: 38*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/70)\/((-9128)\/392 - (2 - 25)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 21. Determine n(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2. Let m(i) = -5*i**3 - 4*i**2 - 3*i. Determine 4*g(p) - m(p).\nAnswer: p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/4 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d - 42. What is i(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m - 3145448 - 4632949 = 0. Suppose -139*k + 150*k - m = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.05 + -5. Let z = x + -0.35. Let c = 0 - 0.5. Sort c, 0, z.\nAnswer: c, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 6. Let k(a) = 12*a - 2. Let h be k(1). Calculate the highest common factor of h and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6929866613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -532276.21 rounded to the nearest 10000?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639 = 19*n - 4054. What are the prime factors of n?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -117, -140, -147, -138, -113, -72?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53235 + -4.\nAnswer: -53239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/2 - 33\/4. Let m = -4542 + 9103\/2. What is the common denominator of i and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 18*u**2 - 180*u - 40. Calculate f(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 5. Let v be k(7). Let g be 5\/(-2)*(v + 0). Is -5 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 1.2. Let n = -48 + 49. What is the closest to p in n, 4\/7, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3230132100 (base 5) to base 12.\nAnswer: 2379783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*s**2 + 0*s**2 + 4*s**2 + (-1 + 1 + s)*(0*s + 0*s - s) - 279*s + 135*s + 140*s - 118*s**2.\nAnswer: -131*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/1 + (-1 - 2). Suppose 0 = 2*t + 3*n - 131 + 19, i*t - 238 = 3*n. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: d479 (base 15) to base 8\nAnswer: 127531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 28. What is the units digit of -5*(114\/5)\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*t + 12, t + 0*t - 5*r - 14 = 0. Let h = 2 + 1. Let l(g) = 4*g**2 + g + 4. Let d(m) = -5 + 4*m - 5*m - 5*m**2 - m. Give h*d(a) + t*l(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:15 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -82, -156, -260, -394?\n\"Answer: -15*l**2 + l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194191623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g**2 + 18*g - 6. Let u(p) = 20*p**2 - 51*p + 17. Let a(x) = 17*m(x) + 6*u(x). Let j(v) = -928*v**2. Determine a(j(s)).\nAnswer: 861184*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4310, 0, 12 in increasing order.\nAnswer: -4310, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 3, -2\/203 in ascending order.\nAnswer: -0.05, -2\/203, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/9 - 146\/(-9). Suppose 18*l - 76*l = -928. What is the highest common divisor of x and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -955 - -2530. Let w be (-6)\/(-4)*(4 - 2). Suppose x = 2*g + 390, -x - w*x + l = -5*g. Round x to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388773 = -41*b + 228*b - 1087031. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/90 + a**4\/54 - 8*a**3\/27 - 4*a**2\/3 - 338*a. Find s, given that o(s) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, -1, 24\/1307?\nAnswer: 24\/1307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76)*1 + -2 + sqrt(76))**2 - (1 + sqrt(76))*-6)*4.\nAnswer: -1208 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*c = -5*c + 53, 4*t = -3*c + 43. Let i = -1 + t. Suppose -2*f - 36 = -i*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**4\/24 + 2*p**3\/3 - 2*p**2 + p. Let y(m) be the first derivative of u(m). What is the units digit of y(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.694801163+1.602\nAnswer: 0.907198837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -7. Suppose 4*g + 3*m + 9 = 0, 0*m = -z*g + m + 3. What are the prime factors of (g + (-6)\/4)\/(2\/(-76))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3*t = -t - 35, -9*k = -5*k - 8*k + 13*t + 85 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1647*u + 8 = -1645*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.1, 0.1268, -3.6?\nAnswer: 0.1268","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59271*z**4 - 52*z**3 + 3*z**2 - 3*z + 32629 wrt z.\nAnswer: 1422504*z - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 7. Suppose p*f - 74 = -2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1, -1117?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 42*s. Let y be b(-4). Let u be y\/(-40) + (-2)\/10. Suppose 0 = -c + 2 + 2. Solve 16 = i + 5*p, u*i + c*p - 3*p - 7 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/6*78\/(-65). Let l = k - 21. Which is greater: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a1add7 + -3?\nAnswer: -2a1adda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 290*h + 44*h - 173*h - 6440 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2157, 2150, 2143, 2136, 2129, 2122?\nAnswer: 2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 12*o**2 + 21*o**2)*(-5*o**2 + o**2 + 3*o**2) + (-2*o**2 - 2*o + 2*o)*(-2 + 2 - o**2) + o**4 + 0*o**4 - 10*o**4.\nAnswer: -44*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -1344?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 2 - 3*l + 1 - 3*l. Let p(i) = i. Let h be -5 - 306\/17*1\/(-3). Give h*r(c) + 3*p(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34812 is divided by 635?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -240710 (base 9) to base 2\nAnswer: -100011011000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101744 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 609*z**3 - 9*z**2 + 19*z - 7. Let v(a) = -203*a**3 + 3*a**2 - 7*a + 2. Let g(d) = 7*v(d) + 2*w(d). Find the third derivative of g(c) wrt c.\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + 14. Suppose 0*a - 15 = 2*a + v, 3*v - o = 2*a. Let i(r) = -13*r - 15. Is i(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173504.\nAnswer: 2, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 15*s - 42. What is the greatest common divisor of s and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9*6\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 43790?\nAnswer: 569270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(126)\/sqrt(3))\/sqrt(6))**2*-6*1 + -1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 = -10. Let g be (-64)\/14*u\/(-12). Solve -6\/7*z**2 - 8\/7*z**3 + g - 2\/7*z**4 + 8\/7*z = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 + -22.901423?\nAnswer: 173.098577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 18. Suppose -5*r = -3*i + 19 + 9, i - 8 = 2*r. Let a be j(i). What is the tens digit of ((-1)\/a - (0 + -1))*26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*f - 260. What are the prime factors of (f\/(-2))\/(14\/7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 1. Let p(y) = 3*y + 2. Let c(v) = 8*v + 59. Let t be c(-7). Determine t*p(n) + 7*i(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 1. Let j(a) = 0*a - 1 + 2 - 2*a. Let b(g) = 4*j(g) + 3*r(g). Is 13 a factor of b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401518 divided by 15443?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-9271)\/(-2920))*44\/(-3) - 12.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -67.166115.\nAnswer: 67.066115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v + 127*v - 897*v**2 - 142*v.\nAnswer: -897*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 + 8*y + 1. Let z(b) = 6*b**2 + 8*b + 2. Let l(x) = -2*a(x) + 3*z(x). Factor l(g).\nAnswer: 4*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 22. Let s be g\/(-4) + 3\/(-4). Factor 8*a**2 - 3*a**3 - 3*a**3 - 2*a**3 + 4*a**s - 4*a.\nAnswer: -4*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3339672 rounded to one dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((240\/324)\/20)\/((-2)\/(-12))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9744571 is divided by 506?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 808 (b) -74 (c) -0.5 (d) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, -198.88.\nAnswer: -198.88, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/30*319\/((-98571)\/104030).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 7*t**2 - 9*t - 4. Calculate the remainder when 57 is divided by b(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9619 is divided by 1762.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 17*r**2 - 21*r + 8. Is i(7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1360262 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 12*r - 15. Let v be t(10). Let p be 1\/(-3) + v + (-33)\/9. Let k(n) = n**3 + 7*n + p - 7 + 2*n - 8*n**2. What is k(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2338 = -5*v + 2*v, 3*v - 2*g = -2323. Let w = v - -773. What is the lowest common multiple of w and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-567)\/(-18) - 26).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559 + 510 - 340*s - 352.\nAnswer: -340*s + 717","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - h**2 - 5. Let u be a(0). Let d be 4\/10 - 33\/u. Calculate the greatest common divisor of 63 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1486, -2918, -4358, -5812, -7286, -8786?\nAnswer: -10318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 2\/(-2) + -5. Let o be (147\/(-14) - -10)*(a - 3). Solve 33 - 29 = -o*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 118*b + 14949256 = 211*b. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 369344\/13 or 28411?\nAnswer: 369344\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 6*h**2 + 11*h - 6. Let z be (0 - 1)*-3 - -1. What is the least common multiple of 12 and l(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 - 2.9. Which is the nearest to -2\/5? (a) x (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1662 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16969 and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 2*c + 4. Let w(h) = 2*h**2 + 2*h - 5. Determine -6*u(b) - 5*w(b).\nAnswer: 2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 8:04 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5034882 rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515000 is divided by 117?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/((w\/(w\/((((w*w\/(w**(-2\/9)*w)*w)\/w)\/w)\/w)))\/w)))\/w*w)**(2\/3)*((w\/((w**(1\/5)\/w)\/w))\/w*w)**(-38) assuming w is positive.\nAnswer: w**(-14614\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 - 1) + 4 - (20 + -28)) + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 2*w + 3. Let t be h(-1). Let n = -6.1 + 6. Sort -0.24, n, t in decreasing order.\nAnswer: t, n, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1106 (b) 19 (c) 0.4 (d) -0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 6:27 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -353, -666, -979, -1292?\n\"Answer: -313*t - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -14, -38, -82, -152?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y + 208. Let f be w(-27). Which is smaller: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1867*l**3 - 1870*l**3 - 102 + 3736*l**3)*(-4 + 4 + l**2).\nAnswer: -l**5 - 102*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 1:34 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 0, 0 = m - 5*w - 23 + 18. Solve n = -m*a, 2*n + 2*a - 4 = 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -37\/4. What is the nearest to x in -2\/9, -22, -3\/2, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30299033 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/2089912 and -12\/119.\nAnswer: 14629384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-8)\/182)\/(20\/(-130))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9319, -65, 4 in decreasing order.\nAnswer: 4, -65, -9319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/12*933\/(-10885).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276.434 - 277. Let r = 0.134 - s. What is the smallest value in 0.1, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 331985208 by -110661736.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/(-18) + -5*(-12)\/(-270). Is 10 a factor of ((-54)\/1)\/m + (1 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420818093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.214 and 1445.\nAnswer: 1445.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {g: 1, p: 3, f: 3, n: 7, c: 2, w: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1799530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 783, 1489, 2123, 2685?\n\"Answer: -36*h**2 + 814*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*r**3 + 28*r**3 + 96*r**2 - 14*r**3 - 2*r - 9*r**4 + 6*r**4 + 4*r**4 to n*r**3 + h*r**2 + x*r + m + i*r**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**5 + 432*x**4 + 10920*x**3 - 354510*x**2 - 10923*x + 354078 = 0. Calculate x.\nAnswer: -83, -79, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l**3 + 26. Suppose -4*s + 7 + 5 = 0. Let n(c) = -5 + 3*c**s + 0 - c**3. Let k = 31 - 15. Calculate k*n(j) + 3*z(j).\nAnswer: 2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1768? (a) 3\/32 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 0*r**2 - 1692447*r**3 + 1692492*r**3.\nAnswer: 45*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45331 or -135994\/3?\nAnswer: -45331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55075633 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hclhhdchhddhhhhh. Give prob of picking 1 h and 1 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1632.4 - -1632. Which is the fifth smallest value? (a) j (b) 6\/53 (c) 1\/5 (d) 3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -7)*(9 + -11). Suppose -g = h + 3*h. Let i be (-2)\/(-2) - ((-6)\/1 + 12). Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + 47*q**2 + 23*q + 2. Let t be d(-23). Calculate the common denominator of -54\/7 and t\/(-5) - 3635\/(-9275).\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 + l**2 + l**2 + (-l - l - l)*(12*l - 12*l - 7*l) to the form a*l + v + w*l**2 and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8175\/20 + (-22)\/8 + 2. Suppose 5*n - i - 1065 = 0, -4*n - 3*i = -1241 + y. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 4*d - 2*d)*(6 - 23 - 6 - 2) to the form b + o*d and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.32523 less than 3102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13213*y**2 + 3246*y**2 - 9241*y**2 + 3629*y**2)*(-2 + 1 - 1).\nAnswer: 31158*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*t + 63 + 61. Let d(w) = w + 12. Let f be d(0). Suppose f = 2*k - 2*j, -4*k - t*j = -14 - 10. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*k**5\/11 - 52*k**4\/11 - 156*k**3\/11 + 8*k**2\/11 + 150*k\/11 + 4 = 0. What is k?\nAnswer: -2, -1, -1\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*f*f*f\/(f*f**(-15)\/f)*f*f*f*f))**(-36\/7))**(-8\/5))**(1\/2) assuming f is positive.\nAnswer: f**(-3312\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 9:48 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1480 and 1465268.\nAnswer: 542149160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(3\/(-3)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70772\/21 + 10112\/3. Let d = 7 - 11. What is the closest to -4 in d, 4, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 352*t - 3*t**2 + 353*t - 20*t**3 + 4*t**3.\nAnswer: -16*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 3. Let v(x) = 8*x**r - 6*x**3 + x**3 + 9*x**2. Let s(c) = -153*c - 157. Let a be s(-1). Let f(u) = u**3 + 4*u**2. Determine a*v(n) + 9*f(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/135 and -101\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -59 - ((-16)\/4 - -3) - 1. Let n = p - -66. Suppose 44*q + n = 45*q. Solve -3*s = -q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*u**3 + 299*u + 99*u**3 + 28*u**3 wrt u?\nAnswer: 1812*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -81\/8, 5, -1\/16, -3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48932 is divided by 48918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 9. Let x be y(9). Let k = x - 6. Let s be (-1 + 5)*(-1)\/(-2). Solve k*j + 34 = -5*f, -3*f = 2*f - s*j + 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/24 - 209*h**5\/6 + 214165*h**4\/24 + 445210*h**3\/3 - 2*h**2 + 36*h - 3. Find u, given that t(u) = 0.\nAnswer: -4, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/45 and 9\/235.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 + 20 + 2*k - 48)*(-2 - 4 + 2) in the form u*k + n and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/(-10)*-1*(-15)\/(-60). Let m = -38\/507 - -4\/169. Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*i - 4*d + 4, d + 119 - 8 + 28 = -29*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.823847 + -3.82. Round d to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k + 24 = 0. Suppose 0 = -n - k*n + 168. What is the greatest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 26. Let t be m(11). Suppose -2*h - 2*u + 60 = -48, 0 = -t*u - 16. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 0)*3 - -1. Let x be ((-3)\/(-2))\/(t\/140). Let i = x + -18. Calculate the highest common factor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286296996 to the nearest integer?\nAnswer: 16920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28924 and 13567422?\nAnswer: 2066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - 2*u**5 - u**3 + 0*u**3 - 4188*u**2 - 281*u**5 + 4188*u**2 + (-2*u**3 - u**3 + 2*u**3)*(-u + u - 2*u**2).\nAnswer: -281*u**5 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1356727 and 0.11.\nAnswer: -1356726.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 162194 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = -26*s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2083.3811 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -76*w**7\/7 + 5*w**3\/3 - 2*w - 218. Find the third derivative of a(i) wrt i.\nAnswer: -9120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9630419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 648257700 - 648257700 - 11682*n as b + y*n and give y.\nAnswer: -11682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (7 + (7 - 1)\/6). Which is the nearest to 1? (a) -2 (b) -0.33 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + sqrt(325)).\nAnswer: -30*sqrt(13) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -78, -50, -32, -30?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 - 3*p**2. Let i(o) = 6*o**3 - 4*o**2 - o. Determine 3*i(q) - 4*x(q).\nAnswer: 2*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8192 divided by -256\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1486*o**2 - 6*o - 30 wrt o.\nAnswer: 2972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4683*f - 14074. What is c(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**3 - 169165*z + 942*z**2 + 1211*z**2 - 553237*z + 251*z**2 = 0?\nAnswer: 0, 601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (-2*(sqrt(1815) - -1*sqrt(1815)))\/(sqrt(3) - sqrt(432)*1 - 6*sqrt(12)))**2.\nAnswer: -68715\/529 - 1320*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24624675\/4 + 3\/4*o**2 + 8595\/2*o = 0.\nAnswer: -2865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 8. Let s(w) = -1. Let f(k) = -i(k) - 6*s(k). Let a(h) = h. Let v be a(-1). Determine f(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 334056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 9*q - 9. Let b = 21 - 14. Let z be s(b). Differentiate z - o + 3 + 2*o - 3 with respect to o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5918 + 5936. Let j be (2\/(-4) - 0)*-48. Calculate the highest common factor of r and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 3. Let v(t) = 4 + 3 - 3 - 2. Let p(g) = -3*v(g) - 2*z(g). Let q(c) = c. What is q(p(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + -c9?\nAnswer: -ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 - m. Let h(y) = 8*y**3 - 6*y**2 - 8*y + 2. Let o be (1\/(-6))\/((-86)\/(-516)). Calculate o*h(t) + 6*s(t).\nAnswer: -2*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/14091942 and 71\/60?\nAnswer: 140919420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l**3 + 2. Let w(f) = 91*f**3 + 18*f - 27. Let r(h) = 92*h**3 + 21*h - 29. Let p(y) = 6*r(y) - 7*w(y). What is -2*p(u) + 15*t(u)?\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 41\/7 + 3\/21. Solve -2*w + 2*l = g*l + 11, 4*l = -w - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-120)\/(-90))\/(1\/(-3) - -1). Suppose y = 2*w, -y = 4*w - g*w - 12. What is the units digit of ((-3 - -15)*(-141)\/y)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 1 + 2*n**2 - 4*n**2 + n**2. Let o(k) = k + 4. Let d be o(-8). Let m = 6 + d. What is f(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 1)*(13 + 5 + 2)*(5*n**3 + n - n).\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -648*s**5\/5 + 4338*s**4\/5 - 8636*s**3\/5 + 4682*s**2\/5 - 984*s\/5 + 72\/5 = 0.\nAnswer: 2\/9, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 20 - b**2 - 6 as x*b**2 + n*b + a and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*w - 536566 + 572296 = 0 for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4437125600 to the nearest one million.\nAnswer: -4437000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 + 271 = 2*r, -5*r = -2*t - 27. Factor 1\/6*q**2 + 1\/6*q**t + 0 + q - 2\/3*q**3.\nAnswer: q*(q - 3)*(q - 2)*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4250 or 4251?\nAnswer: 4251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 290153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100179.\nAnswer: 3, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-10))\/(132\/6430). Let i = k - 31\/11. Calculate the common denominator of i and -34\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/2463 and 27\/10.\nAnswer: 24630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21191\/3210 - 1\/642. Let n = -7 + x. Suppose -j - 3 = -2. Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-537*s**4 + 780*s**4 - 552*s**4)*(-2 + 2 + s)*(1 + 0 - 4)*(5 - 4 + 0 + 0 + 0 - 1 + 0 - 3 + 1 + 5 - 3 + 0 + (3 + 2 - 3)*(1 + 3 - 3) + 1 + 0 + 0).\nAnswer: 2781*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 23. Solve 2*s - 5*t + 2*t + 3 = 0, f = 5*s - 4*t + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 319\/7. Let q(s) = s - 1. Let r be q(2). Let h be r\/6 + (-68)\/120. What is the closest to 1\/2 in d, h, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*o - 24, -o + 15 = -4*p + 39. Which is bigger: -1249 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -245\/369 - -2094874\/3154581. Let j = z - 504411\/170980. What is the common denominator of j and 1 - ((-160)\/(-25) + 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j + 0*j - 4*j + (j - j + 2*j)*(10 - 1 - 2).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 609 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (124 + -8 + 5 + 29 + -42)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 738800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/5)\/(14 + -7 + -4). Are y and -659 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Let n be 94\/4 + a\/2. Let i = 90 + -54. What is the greatest common factor of n and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 60 (b) 24 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(21) - sqrt(21))*6)\/((sqrt(27)*-1)\/sqrt(9)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4)\/80*62.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*3*(0 + sqrt(931) + 1)*-6*-2)**2 + 0.\nAnswer: 296352*sqrt(19) + 19326825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -2 (b) 0.67 (c) 5 (d) -2\/11 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbtzzfu. What is prob of picking 1 f and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 1 + 3, 3*y = -3*r - 21. Let t be 1 - 1 - 12\/r. Solve -t*p = -5*j, -2*p - 3*j = 2*j + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 6*k - 6. Let m be 534\/78 + (-2)\/(-13). Calculate b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2160 divided by -270.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 351262551*x**2 - 696267376 wrt x?\nAnswer: 702525102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ad825 (base 15) to base 16.\nAnswer: 1f98b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161 - -163. Factor 0 - 2\/9*y + 2\/9*y**n.\nAnswer: 2*y*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, -28, -132, -316, -604, -1020, -1588?\n\"Answer: -4*c**3 - 4*c**2 - 8*c + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/22)\/(((-1374)\/241824)\/(2\/(-32))).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*f**3 - 27*f**3 - 48*f**3 - 16*f**3 - 9*f**3.\nAnswer: 37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n - 4*n + 87083 + 104737. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) 1\/47 (c) 713 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 1047 and 3.\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 312 - 4*s**2 + 156 + 157 + 4*s**2 + s**3 as v + p*s + q*s**2 + c*s**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/(-77)*-1*(420\/(-8))\/(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 299283*a**3 - 299283*a**3 - 723*a**4 + 282*a**2 wrt a?\nAnswer: -17352*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 48 and -37024035705.\nAnswer: -37024035657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 155094523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -49744?\nAnswer: 49742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 10. What is the units digit of 37 - (k - -1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l**3 + 3*l**2 + 3. Let x(i) = -495*i**3 + 187*i**2 + 187. Calculate 374*g(q) - 6*x(q).\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 9*n + 90 = 0. Calculate the smallest common multiple of 2\/((-2)\/(-2)*2) and (-4)\/(66\/12 + n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 391557091?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.6 - 4. Let q = -0.400023 - x. What is q rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 34 = 8. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 3:52 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-12) - 10\/(-3). Suppose -p*h + h = 0. Solve -c + 5*c - 20 = h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -340*1\/(-4)*2 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 5*w**4\/12 + w**3\/6 - w**2\/2 - 7*w. Let o be s(-1). Suppose -o*z = -0*z - 15. Solve -8 = -z*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 16*l**2 - 5*l - 11. Let g(d) = -d**3 - 13*d**2 + 6*d + 10. Let c(p) = -3*g(p) - 2*h(p). Give c(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + o + 2*q - 17 + 8 = 0, q = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 = -1. Suppose -n = 4*k - 45, 5*k = n - g*n + 75. Solve 5 = 5*x + n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvppjvvjvpjjpv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k. Let t(b) = -235*b**2. Give t(w(g)).\nAnswer: -3760*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -7 (b) -15 (c) -1\/10 (d) -5\/4 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-48) - 334\/(-8). Is -1\/4 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (44\/12 - 3) + 4\/(-6). Suppose -4*h - 4*w + 604 = c, -57 - 82 = -h + 2*w. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4\/8 + 3495*j**3\/8 + 715977*j**2\/8 + 53603949*j\/8 + 171577572 = 0.\nAnswer: -928, -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + f**3 + 7*f**2 - 13*f + 6.\nAnswer: -(f - 2)*(f - 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**3 - 6*a**2 + 5*a. Let p(m) = -5*m**3 - 6*m**2 + 6*m + 1. Let t(i) = -4*f(i) + 3*p(i). Let l = -52 + 46. Give t(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -491513 * -3.\nAnswer: 1474539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**2 + 1 + g + 10*g**2 - g**2 - 4*g. Let q(t) = -3*t - 1. Let f be q(-1). Calculate the remainder when j(f) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4069310*s + 17154. Let g(v) = -949*v - 4. Determine -8577*g(y) - 2*q(y).\nAnswer: 953*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(3\/2)\/c)\/c))\/c*c*c*c**(-1\/21)*c*c)\/(c*(c\/c**(-24))\/c*c*c*c\/(c**(5\/3)\/c)) assuming c is positive.\nAnswer: c**(-961\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*(sqrt(133) - 2*sqrt(133) - sqrt(133)))\/((sqrt(28) - -2*sqrt(28))\/sqrt(4)) + (2*2*sqrt(95))\/((sqrt(5) + sqrt(10)\/sqrt(2))*-2))**2.\nAnswer: -56*sqrt(19)\/3 + 1075\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11395*u. Let b(c) = -866*c**2 - 4. Give b(j(x)).\nAnswer: -112446657650*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309520 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*a)**(-25)\/(a**(-3))**15 assuming a is positive.\nAnswer: a**(-205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -12*s + 20. Let l be a(2). Let o(n) = n**3 + 5*n**2 + 7*n + 9. Determine o(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + z. Suppose -i + 2 - 9 = z. Let c be (i - (-3 - 0))*-1. Solve c*d + 10 = d + 5*a, 0 = d + 3*a - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -233*v**5\/30 + 19*v**4\/24 + v**3\/6 - 19*v**2. Let x be n(-13). What is x rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*(-540)\/(-378).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g - 10. What is the third derivative of -6*q**6 - q + q + 3*q**6 + 3*q**g wrt q?\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*o = 2*j + 13*o + 962, 0 = 3*o + 12*o - 12*o - 54 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 15*v + v - 10*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8156890 is divided by 61330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12103 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26801 + 39979 = 7*g. Round g to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 7. Calculate t(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r + 3 + 0*r - r. List the prime factors of b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 5*t - 312. Is 3 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 78. Let m(f) = -15*f + 82. Let b be m(v). What is the highest common factor of 56 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -620.879, -1\/6, 5, 4.\nAnswer: -620.879, -1\/6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 464?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7418 in -0.07, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 0.4, 1\/7, 26, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.702 + -0.702. Let f = -11 + 1. Let z = 8 + -12. What is the closest to b in z, 1\/5, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -182 + 182 - 7*l**3 + (-18 + 18 + 5*l**2)*(-2*l - l + l) + (-l + 2*l + l)*(-l**2 - 3 + 3).\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17301, -30298, -43295, -56292, -69289?\n\"Answer: -12997*c - 4304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011100 - 10010010000100010001?\nAnswer: -10010010001000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/14*-2 + 88\/308. Let s be (16\/6)\/8 - 34\/p. Solve -3*d + s*d + 9 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 - 618. Let b = -430 - l. Calculate the lowest common multiple of 4 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577276?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*i + 6 = 4*i, 0 = 2*h + i. Let m be (-9)\/6*4\/h. Let t(g) be the second derivative of g**4\/12 - g**3\/6 - g**2\/2 + 3*g. What is t(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*118\/59. Suppose -1 + 6 = 5*i. Sort p, 1\/2, i in increasing order.\nAnswer: 1\/2, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88299016 to the nearest integer?\nAnswer: 9397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.23159 + -0.951.\nAnswer: -3.18259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 4*q**3 + 5*q**3 + (0 + 2*q + 0)*(3*q**2 + 0*q**2 - 4*q**2) + q**3 + q - q as i*q**2 + f*q**3 + s + k*q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 964 - 16998 = -4*v - 2*l, -5*v + 20032 = -l. Suppose -3*h - t = -v, -4*t = -6*h + 10*h - 5332. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 504657*m*n - 663370*n wrt m?\nAnswer: 504657*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(136) - (sqrt(136) - (sqrt(136)*1 - sqrt(136)))*6) + (sqrt(136)*-2 + sqrt(136) - sqrt(136) - sqrt(136))*2)\/(-2*sqrt(128)*-4))**2.\nAnswer: 9\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -300.603 and -28013335.\nAnswer: -28013635.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + -0.06. Let z be 66\/30 - 1*2. Which is the third smallest value? (a) w (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Let o = -0.025 - -5.025. Let t = o - i. Which is the second biggest value? (a) 5 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164952 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 3.39039314077.\nAnswer: 3.39039314077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 divided by 178?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/8 + 5*w**3\/6 - 8*w**2 + 18*w + 170. Let i(s) = 0. What is s?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + (1 - 2) + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 - 86*n - 168 = 0. Calculate n.\nAnswer: -84, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122\/3 - -41. Let v = 15 + 3. Let g = -13 + v. Which is smaller: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*z - 9 + 10 = 0, 4*z + 12 = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-1 - -5))*(0 + 0). Suppose v = -5*j + 2*g - 0*g + 310, 3*j - 3*g - 177 = 0. Calculate the highest common factor of j and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v - 10 = -32*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4 - 6. Suppose 5*k + 13 = 2*f, c = 4*f - 3*k - 3. Let n be (3 - 3)\/f - -2. Solve s + n*s + 15 = 0, -11 = -3*d + 4*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 3\/4 (c) 2\/9 (d) 0.1 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5\/4 + 43*d**4\/2 - 29805*d**3\/2 - 2798496*d**2 - 552495951*d\/4 - 530347095\/2 = 0.\nAnswer: -123, -2, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33627?\nAnswer: 3, 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from flffflflflfflfff.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14238 - -22805. What are the prime factors of f?\nAnswer: 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -18. Let k be 12\/(-20)*z\/(-4). Factor -k*c**2 + 3\/2*c**4 + 3\/2*c + 0 - 3\/2*c**3.\nAnswer: 3*c*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 58, -3 in increasing order.\nAnswer: -3, -1, -0.3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450 and 70668.\nAnswer: 1766700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207 + -212. What is the smallest value in -0.2, 8, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2327120*f**3 + f**2 + 7898221*f wrt f.\nAnswer: 13962720*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 170\/16 + -5 + 4 and (-117)\/(-15)*(-10)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 4*w - 8. Let c be k(4). Suppose 4*u - c = 4*g + 20, 4*g = 3*u - 37. What is the smallest common multiple of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32 + 11 - 2*f**2 - f + 3*f - 3 - 4*f = 0. Calculate f.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -43 in descending order.\nAnswer: 1, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -1. Let j = -36 - -34.3. Let c = j + 2. Put b, c, 5 in decreasing order.\nAnswer: 5, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97424.12*-5\nAnswer: 487120.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 59 = -4*u - 0*a, -2*a = 2*u - 40. Suppose -v + 0*v - 5*q = u, 2*v - 2*q = 14. Solve v*r = 2*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 128076.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -22 - 11*w + 54*w - 23 - 40*w. What is t(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2. Let o(q) = 79119*q. What is j(o(d))?\nAnswer: -25039264644*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1092\/(-63) - -18)\/(-6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 85 + 16. What are the prime factors of t?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -3*n - 255, -4*n = 409*j - 414*j + 137. Let q = 20 - 14. Calculate the greatest common divisor of q and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10976291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkk. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6327b (base 13) to base 7\nAnswer: -1342052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2, 3346, 20 in increasing order.\nAnswer: -4, -2, 2, 20, 3346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.009 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + -3 + -44 + -2 + 17.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 33. What is the second derivative of 55*w**3 + 0*w - q*w**3 - w wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -217 + 131. Let y = q + 91. Which is the second smallest value? (a) 4 (b) -0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 66 = 94. Let r = 163\/2 - d. Let l = 1 - r. Which is the nearest to l? (a) -0.4 (b) 1\/8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(28\/8))\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405452 (base 6) in base 13?\nAnswer: -29c72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**2 + 3*h + 1. Let x be (-10)\/(-6)*(-36)\/(-10). Let l(a) = 14*a**2 + 84 + a - x*a - 86. What is -5*l(i) - 8*p(i)?\nAnswer: 2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237235*h - 901 - 79 = -237263*h for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000576583 rounded to six decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + -2*sqrt(190))*2)\/sqrt(10) - (2 + 1 + sqrt(19) + 1).\nAnswer: -3*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 886. Let k be b(0). Let c = k - -6997\/8. Let a = -62943\/14 - -4493. Find the common denominator of c and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 29*z**2 - 31*z + 32. Let c be h(30). Put -3, 5, c, 3 in descending order.\nAnswer: 5, 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*m - 219*m + 90*m.\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4) - -25*1)*((-106 - -58) + 46)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.179665808 to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y**3 + 2*y**2 - 5*y. Suppose 4*b + b - 30 = 0. Suppose -b*k - 9 = 9. Let l be w(k). Round l to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126121*f**4 + 181228*f?\nAnswer: -1513452*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l - 8. Let g(i) = 47*i - 133*i - 23 + 43*i + 51*i. Let x = -2 + -15. Calculate x*f(w) + 6*g(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x**2 - 11*x + 18. Determine d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*r - 16, 2*y = -0*r - r + 23. Let o(p) = p**3 + 14*p**2 + 11*p - 13. Let c be o(-13). Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 - -149. Let b = n + -41. Solve 5*d - 5*t = b, 3*d - 11 - 5 = 5*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86181 is divided by 378.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**5 - m**5 - m**5)*((6 - 9 - 8)*(-2 + 4 - 1) + 6 - 1 - 2).\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1819093ng to micrograms.\nAnswer: 0.0001819093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*a - 5. Suppose 2*u + a*u = 2303. Suppose -u = -8*d + d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i + 48*i = 32*i - 315 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13470 divided by -30\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 808079171 or 808079172?\nAnswer: 808079172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j + j)*(-4*j**2 + 2*j**2 - 2*j**2) + 8*j**2 - j**3 - 8*j**2 + (0*j + j - 3*j)*(-4*j**2 + 0*j**2 + 0*j**2) - 2*j**3 - 3*j**3 + 3*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o**3 + o**2 + o. Let t be j(-1). Is 29 a factor of 8\/t + 543 - -8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 10620.\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1751.66*-0.36.\nAnswer: 630.5976","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3798*a**3*m*t**2 - 719*a**3*m*t - a**3*t**2 - 2*a**3*t + 404*a*t**2 + 31*a - 2*t + 511 wrt m.\nAnswer: 3798*a**3*t**2 - 719*a**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/2 + 16\/9. Sort 0.5, y, 2\/17 in descending order.\nAnswer: 0.5, 2\/17, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*a - 2*a. Let b be -2 + ((-24)\/2)\/(-3). Suppose -2*o - 28 = -5*g, b*g + o - 4 = -0*g. What is the remainder when a is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21673822 - 264.62.\nAnswer: -21674086.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*i - 6*j, 0 = 4*j - 232 + 236 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, h: 3}. What is prob of sequence hshs?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*z - 6*z - 5*z + 2*z**2 to n*z**2 + o*z + h and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -21. Suppose -b*r - 18*r = -1904. What is the greatest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(130) + 1*sqrt(130)*1))\/(sqrt(40) + 1*sqrt(1000)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (-1 - 0) - (18720\/(-315) - -67). Which is the fourth biggest value? (a) -5 (b) -0.8 (c) 92 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551897692 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: Is 18697067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:16 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-26)\/((-2730)\/(-385))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 d, and 1 s when three letters picked without replacement from {d: 1, s: 1, x: 11, u: 5, b: 2}?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21821016.\nAnswer: 2, 3, 7, 129887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*h - 2473*b*h - 2065*h wrt b?\nAnswer: -4*b*h - 2473*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*w + 1050 = -223*w. Which is smaller: 523 or w?\nAnswer: 523","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 27*h + 588 = 0. Calculate the smallest common multiple of h and 7.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2*10))\/((-104)\/(-130)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241768.\nAnswer: 2, 47, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 + 0*q**2 + 2*q**2)*(4 - 8 - 17) to l*q**2 + y*q + r and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*z = 48*z + 42*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -143158, -286315, -429472?\n\"Answer: -143157*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -160.68134 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 12*u + 16 = 0. Let o(j) = 2*j**2 - 4*j + 3. Let d be o(2). Suppose -m + 2*z = d*m - 84, -u*z = 4*m - 84. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2*t**(-2\/5)*t**(3\/5)*t**(-6)*t assuming t is positive.\nAnswer: t**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -5*p + 2*j, 8 = 4*p - 4*j. Let f(i) = -i**3 + 4*i**2 + 6*i - 1. Calculate the least common multiple of f(5) and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022763417 to seven dps.\nAnswer: 0.0000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -18. Let m be (-12)\/(-4) - (1 + l). Let n = m + 34. Solve 5*z - 10 = 0, 5*z - n = y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3018*g - 849*g - 1 - 924*g + 287*g.\nAnswer: 1532*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k + 8. Let f(w) = -w - 10. Let s be f(-9). Let z be d(s). Find the third derivative of 29*u**2 - z*u**3 - 4*u**6 + 13*u**3 - 24*u**6 wrt u.\nAnswer: -3360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 53.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1794)\/(-56) - 815\/22820?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 4*x + 8*x - 2*x. Determine w(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 625, 931, 1235, 1537, 1837, 2135?\nAnswer: 2431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -23 + (-2 - (4 - 7) - -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2. Let h(q) = -8*q + 10. Let g(u) = -33*u + 42. Let v(i) = 5*g(i) - 21*h(i). Calculate n(v(y)).\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 14 = -0*t. Let w = t - -3. What is the remainder when w is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10280 + 2*o**4 - 10280 + 6*o + (-2*o**2 - o**2 + 2*o**2)*(-o**2 - o + o).\nAnswer: 3*o**4 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1656533*b**3*f + b**3 + 8*b**2*f + 559*b*f + 7*b + 2*f - 78 wrt b.\nAnswer: 9939198*b*f + 6*b + 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7 = 2*s, 2*s = s + 2*o - 1. Let v be -1*(s\/1 - 54). Calculate the greatest common divisor of 49 and v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p + 2 = 3*q + 33*p, 10*q = 5*p + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**5\/40 - v**4\/24 + 2*v**3\/3 + 2. Let u(o) be the third derivative of z(o). What is the derivative of u(a) wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by 67.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 33*z - 78 - 62 = 0, -2*z = -3*j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104475949?\nAnswer: 641, 162989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5862 divided by -1708?\nAnswer: 2931\/854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61941499*v*z**3 + 6*v*z**2 + 40778*v*z - 46 wrt z?\nAnswer: -371648994*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*271.28084\nAnswer: 135.64042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5604 - 0.0396. What is the biggest value in -0.5, v, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 5\/2*p**2 + 19*p - 286. Determine y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 4, 33, 96, 205?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2370*x - 394435 = -2366*x, 0 = -4*t + 2*x + 525940. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97*x + 97*x - 10*x**2)*(1 - 2 - 1)*(x - x + 2*x) to n*x + s*x**2 + l + b*x**3 and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c**2. Let u(j) = -413*j + 5. Let l(r) = -626*r + 8. Let z(h) = -5*l(h) + 8*u(h). Calculate n(z(b)).\nAnswer: 484416*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 53. Calculate the smallest common multiple of y and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2772 by 21.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 360890.208us in weeks?\nAnswer: 0.00000059671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 - 112. Suppose 17 + y = 12*c. Solve 6*w + 4 = c*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*147\/(3642660\/120)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 274.975 and 0.02?\nAnswer: 5.4995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159418521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 4*u - 35 = 2*i, 0 = 3*i + 3*u - 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-21)\/98))\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - (sqrt(48) + (sqrt(48) - -4*sqrt(48))*-2) - (sqrt(108) + 2 + sqrt(108) + sqrt(21)\/(sqrt(28)\/sqrt(4))))**2.\nAnswer: -108*sqrt(3) + 2191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -164? (a) -1.1 (b) 12\/7 (c) 40 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 359 and -12613888.\nAnswer: -12613529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 14. Let q be n(8). What is the third derivative of -a**q + 3*a**2 + 3*a**5 + 4*a**5 + 5*a**5 wrt a?\nAnswer: 720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m*m**8)\/m)\/m)**36*(m**(-10)\/m)**1 assuming m is positive.\nAnswer: m**277","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12957 - 12807. Calculate the least common multiple of 2400 and b.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (49 + -61) - (2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (436\/(-3))\/((40\/(-15))\/4). Suppose 11*v + 89 = 12*v + 5*p, v = 5*p + 139. Let g = b - v. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/7)\/(940\/(-658)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -3. Let w = -2 + d. What is the biggest value in w, -3\/4, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -84249, -84237, -84225, -84213, -84201, -84189?\n\"Answer: 12*b - 84261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -17. Suppose 12*l = a*l - 672. Suppose l = 42*w - 38*w. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -393 at most as big as 3975.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352 - 113*m - 120*m**3 + 377 + 113*m.\nAnswer: -120*m**3 + 729","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6142244098 + 2.078.\nAnswer: 6142244100.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 3*j**4 - j**3\/3 + j**2 + 3*j - 3. Let n(b) = 13*b**3 - 2*b**2 + 3*b + 4. Let w(h) = -4*d(h) + 3*n(h). What is w(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -3, 4, -3974, -5 in descending order.\nAnswer: 4, -1, -2, -3, -5, -3974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.53 + 3.4. Let f = r - 0.44. Let x = f + 0.57039. What is x rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Factor s**a - 2*s**3 + s**5 + 2*s**4 + 0*s**2 - 2*s**2 + 0*s**3.\nAnswer: s**2*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*g**3*k**2 - 6*g**3 - 17*g + 50*k**2 wrt g?\nAnswer: 21*g**2*k**2 - 18*g**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 44*w**2 + 10*w - 41. Is y(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 3*h**8\/112 + 2*h**7\/21 + h**6\/30 - 3*h**5\/10 - 13*h**4\/24 - h**3\/3 + 52*h**2. Determine v, given that x(v) = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2191*3\nAnswer: -0.6573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d81 (base 14) in base 16?\nAnswer: -151d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 57. Let t be c(-20). Let u = -10 - -15. Suppose -t + u = 2*j. Solve m - 3 - j = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0445 - 1.3395. Round l to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1411423423424 + 1?\nAnswer: -1411423423423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/160 (c) -0.1 (d) -3 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -11. Let k = u - -39.945. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3060 - -12101\/4. Let u = 35 + r. Factor 0*x**2 + 0 + 0*x**3 - u*x**4 + 0*x - 1\/4*x**5.\nAnswer: -x**4*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 3*x)*(-1 - x**4 + 1) + (-2*x**2 - 3 + 3)*(-3*x**3 + 2*x**3 + 2*x**3) + (0 + 0 + 2)*(-5*x**4 + x**4 + 0*x**4)*(18*x + 0*x - 2*x).\nAnswer: -132*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -41*z**2 + 13*z + 2. Let i(n) = 1891*n. Determine x(i(a)).\nAnswer: -146611121*a**2 + 24583*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 36. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(2\/9)*w))\/w)**18*w**(-6)*w**(-44)\/w)**(-34) assuming w is positive.\nAnswer: w**2482","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21502, 42992, 64482, 85972, 107462, 128952?\n\"Answer: 21490*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -42. Are -20 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from jjjijjjjjijijijjjjjj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 258\/33 + -4. Which is the closest to -0.1? (a) -1\/2 (b) f (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1269 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 2 + 0*t + 0*t**2 + t**2. Let j be f(-2). Let l = -2 + j. Solve 4*v + 1 + 3 = l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*a + 102 = 7*l - 682*a, -l = 3*a - 2 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 6 + -7 + -12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2365601 is divided by 591?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*n - 8*n + 2012478 = 0. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(4 - 9\/3). Let k = -4 - m. Let g(x) = -x**2 - 3*x + 1. Let z be g(k). Which is the closest to z? (a) 0.5 (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5665859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**4\/8 + 16*b**2. Let g(t) = -9*t**2. Give g(l(n)).\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 3, r: 3, s: 5}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, h: 2, k: 7}. What is prob of sequence hhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 20*h**2 + 2*h + 18. Let d be b(-20). Let l be ((-11)\/d)\/((-1)\/(-12)). Solve -x + f + l = 3*x, 2 = -2*x + 3*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.6 - 25. Let k = n + 0.4. Let v = 19\/7 - 71\/21. Which is the smallest value? (a) k (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)\/(4\/(-12)). Let u(p) = 3*p + 5*p**3 - p**2 + 1 - o - 4*p**3. Let k = -233 - -235. Determine u(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((86 - -4)\/(-15)). Which is the closest to 3? (a) -0.3 (b) -0.73 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1047 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 94. Is p(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(-4 + 5*sqrt(125) + sqrt(5) + sqrt(30)\/sqrt(216)))**2.\nAnswer: -247642\/3 + 5024*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**7\/1155 + 3*c**6\/220 + c**5\/33 + 117*c**2. Factor p(n).\nAnswer: -2*n**2*(n - 10)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -5, 0.5799 in descending order.\nAnswer: 0.5799, 0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1600, -3218, -4850, -6502, -8180, -9890, -11638?\n\"Answer: -i**3 - i**2 - 1608*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 530310, -2 in decreasing order.\nAnswer: 530310, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/406)\/(70\/735). Which is the third biggest value? (a) -3\/5 (b) -0.1 (c) -4\/3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1383160 and 11\/384720.\nAnswer: 58092720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6018 and 1.74.\nAnswer: 1.1382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.88 + 17. Let r = f + -17.12. Let m = r - -16.9. Are 14 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/20 - 13*q**4\/12 + 23*q**3\/6 - 115*q**2\/2 + 141*q. Give r(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 6*s**2 - 2*s + 19. Let q be l(-5). Suppose 0 - 2\/7*f**3 + 0*f - 4\/7*f**q - 2\/7*f**5 + 0*f**2 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/(-3) - (-384448)\/96) + -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2539 or 0.008475?\nAnswer: -2539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -99, -149, -199?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 10 - 3*j**2 + 17 + j**4 as n*j**2 + y*j**3 + u + c*j + f*j**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Suppose -27 = i*m + 3*s, -m - 4*m = 5*s + 55. Put 3, 5, m in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaunaffuaaaaaana. Give prob of picking 2 f and 1 a.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539178 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1982239 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 6*p + 6. Suppose -12*x - 4*a = -7*x - 9, -x - 2*a + 3 = 0. Let g be y(x). Is (4 - (g + 3))\/1 - -558 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -20. Suppose -4*m - 14 = -3*d - 2*m, -2*m = -4*d + 16. Suppose 2*z = -d*z + 28. What is the highest common factor of z and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*(-3)\/7)\/((234\/(-42))\/13). Let t(p) = 2*p**3 + p**2 - 2*p - 6. Determine t(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84533746 to the power of 1\/2, to the nearest integer?\nAnswer: 9194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/2 at least 2350735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -702702*j + 14054027. Give l(20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 36*c**2. Let v be d(1). Suppose 38 + 74 = -7*u. Let w be v\/u*4\/(-3). What is the greatest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2381*d**3*o**2 + 40*d**3*o - 45*d**2*o**2 - 65*d*o**2 - 34 wrt d.\nAnswer: 14286*o**2 + 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445388895 to the power of 1\/4, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -226*u**4 - 10*u**3 + 5293*u - 4. Let t(m) = -226*m**4 - 15*m**3 + 5294*m - 6. Let j(c) = 2*t(c) - 3*x(c). Find the second derivative of j(p) wrt p.\nAnswer: 2712*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukkuuu. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -6*a - 20. Let f(i) = 166*i + 9. Is f(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693616 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 60060?\nAnswer: -6005b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*x + 1)*(-x**2 + 6*x**2 - 2*x**2) - 29 + 34 - 2*x**3 + x**3 in the form u*x + t*x**2 + f*x**3 + b and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(19) + sqrt(38)\/sqrt(2) + -5 + sqrt(19) + 1 + -4 + -1 + sqrt(1539) + 5))**2.\nAnswer: -3456*sqrt(19) + 99072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 - 14*h**3 + 11*h**3 + h**2 + 1 to x*h**2 + k + f*h + g*h**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 65. Suppose -5*i = -j - 1977, 5*i - 3*j - 1103 - 878 = q. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3, 1, -5, 20.5, 0.31 in descending order.\nAnswer: 20.5, 3, 1, 0.31, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 17 + 6 + 0)*(-4*a - 2*a**2 + 5*a + 4*a**2).\nAnswer: 4*a**3 + 48*a**2 + 23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 57. Calculate the remainder when 58 is divided by g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13313 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 667 and 2?\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121409 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63128117.9999951 + 63128086. Let r = -25.4 + -6.6. Let c = r - k. Round c to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109490430 to the nearest one hundred thousand.\nAnswer: 109500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a - 23. Let v be s(6). Is ((-410)\/4)\/(v\/(-38)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 + 166 - 200 + 52 - 4*a**2 + 6*a**2.\nAnswer: 2*a**2 + 245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64 + -134?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20076, -40144, -60212?\n\"Answer: -20068*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -d + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -49*b - 69. Let w(p) = 146*p + 207. Let k(a) = 11*m(a) + 4*w(a). Is 12 a factor of k(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -d7daa?\nAnswer: -d7dae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-11) + (-224)\/2926. Suppose 105 = 19*w + 48. Let f(p) = p**3 + 6*p**2 - 7*p - 1. Let m be f(-7). What is the nearest to g in m, 3\/2, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, 0.5, -1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from vuuvvkuuuukuuukuuu.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 - 4825 - 2*j + 0*j)*(0 - 1 - 1).\nAnswer: 4*j + 9852","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -1\/21, -1\/2?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9651\/17 or -2?\nAnswer: -9651\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*k + 16 + 5, 0 = 5*d + 5*k - 5. Sort d, 3, 2, 7 in decreasing order.\nAnswer: 7, d, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*s - 738 - 745 = 1069 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 30*n = 45 - 71, -15 = -4*a - 3*n + 37 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 18*v - 3*i = -22, 3*i + 15 - 49 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 25*a. Suppose 5*b + a - 55 = 0. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -51*c - 116. Let s(m) = 43*m + 118. Determine 5*p(v) + 6*s(v).\nAnswer: 3*v + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -141008537 rounded to the nearest 10000?\nAnswer: -141010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/12 + 33\/(-9) - -1253. Let n = v + -1058. List the prime factors of n.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9470 + 9471. Sort r, 11, 3, 4.\nAnswer: r, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 1.62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/29 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -524\/11 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 1\/24*k**4 - 2\/15*k**5 + 13\/6*k**3 + 0*k - 147*k**2 + 0 - 1\/120*k**6. Determine q(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-396)\/(-110)*(0 + (-5)\/(-3)) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 + 9*x - 121. Let f(i) = 16*i**2 - 26*i + 342. Let n(q) = -6*f(q) - 17*g(q). Let m(h) = 12*h**2 + 6*h + 9. Determine -6*m(y) + 11*n(y).\nAnswer: -6*y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 8. Let s = -31 - -31. Calculate the lowest common multiple of 22 and p(s).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:33 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 4, 932, 1, -5 in increasing order.\nAnswer: -5, 1, 4, 95, 932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 20 = 3*x. Let j(u) = -u - 3. Let t be j(x). Suppose 6*a - 124 = t*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3.4. Suppose -t + 49 = 5*r, 0*t - 1 = t. Let w be 6\/r + 4\/(-10). What is the third biggest value in z, w, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 20*h - 83. Let y be p(10). Let k = -17 + y. Solve i + 3*i = k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2302045184*z**4 - 6925905024*z**3 + 59365008*z**2 - 169830*z + 162.\nAnswer: 2*(z - 3)*(1048*z - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10795 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25038929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4792)\/(-1797))\/((-336)\/(-4))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*c + 114 = -408*c - 407*c + 4*m, 0 = -3*c - 5*m + 117 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/2 - 9*l**2 + 85*l\/2 - 33 = 0. What is l?\nAnswer: -22, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**18*g)\/(g\/(g\/(g**(8\/3)*g))*g*g) assuming g is positive.\nAnswer: g**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - r = 4*r + 32, d - 16 = 5*r. What are the prime factors of ((-4)\/1)\/(d - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*v + 7, 4*o - 2 = 3*v - 26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 13*g + 30. Let n be y(-10). Find the third derivative of 6*v**2 + 2*v**6 + n*v**2 - v**6 + 4*v**2 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -849818936, -1699637872, -2549456808, -3399275744, -4249094680, -5098913616?\n\"Answer: -849818936*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1602165 by -255.\nAnswer: 6283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4048 - -2047. Let v = -10117\/5 - q. Let s = 22 + v. Is -2 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-21) - 26\/(-6). Suppose 2*y = 1 + l. What is the derivative of -2*m + y + 5*m**3 + 2*m - 11 wrt m?\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/832277858 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2614081 not equal to -2614103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/198663 and -1\/21.\nAnswer: 1390641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*w - 0. Let u be -10*2\/(-5) - 24. Calculate the common denominator of 97\/8 and (-2370)\/(-12)*w\/u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 2\/5 (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 30126525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-8049)\/28)\/(-3))\/22. Let p be (-3)\/44*(-152)\/(-48). Let d = x - p. Calculate the common denominator of d and -17\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:56 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-164)\/((-4)\/2) - 18. What is the highest common divisor of 128 and f?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 8:20 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 118 = 3*v, f = 4*v - 2*f - 156. Suppose 4*d = 2*d - 3*a - v, 19 = -d - 2*a. Let z = d + 32. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (-87264)\/2430) + -8?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*b + 1059674 - 145386 + 68225 = 0. Is 63 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239.000099 - -239. Round m to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {g: 2, y: 1, r: 1, q: 1, t: 2, v: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.965, -2\/23, 33, -2\/13 in descending order.\nAnswer: 33, 0.965, -2\/23, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 49577.27481 to the nearest 100.\nAnswer: 49600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 119 = -481 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 5 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13097*i**2 - 22067329 + 22067329 to the form j*i**2 + k + x*i and give j.\nAnswer: -13097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:15 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/13, -4, 2\/19, 3 in decreasing order.\nAnswer: 3, 2\/19, -27\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1707976227518 and -22.\nAnswer: -21.8292023772482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 114*v**2 - 13*v - 1481. Let l be j(-114). Which is smaller: 0.5519 or l?\nAnswer: 0.5519","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104020764 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 + 425*d**4 + 1743*d**2.\nAnswer: -120*d**2 + 10200*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 4*n + 0*n)*(3*n + 3*n - 4*n) - n**2 - 2*n**2 + 5*n**2 + (n + 0*n + 0*n)*(-5*n + 14*n + 4*n).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 8. Let m be c(7). Let g(w) = w**3 - w**2 - 4*w - 6. Let p be g(-3). Let d be (-2)\/p*6*25. Calculate the highest common factor of d and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**3\/6 + 9*t**2\/2 + 5*t + 3. Let f(w) be the first derivative of s(w). Let g be f(-7). Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**2 - 2*r**2)*(1 - 1 - r) + 7*r**3 - 19*r**3 - 12*r**3.\nAnswer: -22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.04142 to two decimal places.\nAnswer: 3.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 320988657?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/7, 2, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 40. Suppose h - 6*h = -g*u - 11, -4*h + 16 = 0. Let b be 2\/u*(-1 + 5\/2). Solve r + 5 = b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 11:58 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**6\/240 - 3*j**5\/80 - 19*j**3\/6 + 26*j. Let m(g) be the second derivative of z(g). Determine w, given that m(w) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 6\/(-3)*2. Let k be (2\/(-3))\/(c\/6). Solve 2*a - 3 = -k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 20*p**2 - 272*p - 5373. Determine b(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23695 - -41392. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949*c + 467*c + 474*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = 2*r - 4, 4*a = 3*r + 13. Let q = 2 + r. Let u(f) = q + 3 - 10 - f. Give u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 10 = 3*u - 4*u, 0 = -4*r + u + 4. Let q(o) be the second derivative of o**r + 0 - o - 1\/6*o**3 - 1\/12*o**4. Let q(d) = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 81691069878886.\nAnswer: 81691069878888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 10 + 20. Suppose -32 - 46 = 13*h. Let r be ((-9)\/u)\/(h\/(-8)). Is 4 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -99, -24, 131, 390, 777, 1316, 2031?\n\"Answer: 4*s**3 + 16*s**2 - s - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(4 - 6\/2). Suppose -5*p + 88 = -4*p - 2*q, s*p - 4*q = 268. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -o - 2*h, -320*o + 321*o = 2*h - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m - 1 + 1 = 127*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) 1\/14 (c) -9.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.158*-131\nAnswer: -20.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 13. What is i rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8744783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 16 = 6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a*t*y**2 - 2029*a*y**2 - 2*a - 2*t*y**2 - t wrt t?\nAnswer: 3*a*y**2 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 + -2.87. Let g = 1.4 - 0.4. Let d = -3 - g. Put 2, l, -0.4, d in decreasing order.\nAnswer: 2, -0.4, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let t(a) be the second derivative of -a**7\/420 - 5*a**4\/12 - a. Let c(p) be the third derivative of t(p). What is c(s(z))?\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4\/5))\/u)\/(((u*u*u\/(u**(-1\/3)*u*u*u))\/u)\/u*u)*u**(2\/9)*u**1 assuming u is positive.\nAnswer: u**(49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 1. Let b(v) = 8*v**2 - 5. Suppose 2*s - 3 = -s. Let q(y) = s*b(y) - 5*o(y). Let l(d) = 6*d + 8*d + 3*d - 13*d. Calculate q(l(m)).\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -25, 20, 137, 350, 683, 1160?\nAnswer: 1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 134*0.077\nAnswer: 10.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 106133*s = -106132*s - 1, -2*s = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 - 8 = -3*q. Let i = q - -109. Let x(h) = -13 + 3*h - 13*h + i*h + 0*h. Calculate x(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*m + 27 = 0, 110*m + 15 = r + 106*m. Solve g = -r*g - 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-7 + -4 - (29 + -45))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 552 by 2.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + q + 3)*(-3*q + 3*q - 6*q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, -1, 3, 6 in descending order.\nAnswer: 6, 3, 1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v - 29930 + 126901 = -1790089. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 346, -1\/9, -6, 113?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 19*i**5\/4 + 85*i**4\/16 - 35*i**3\/4 - 85*i**2\/8 + 5*i\/2 + 39. Find w, given that c(w) = 0.\nAnswer: -1, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 divided by -153?\nAnswer: 97\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 2 + 0 - 17358*y**3 + 16954*y**3 to i + v*y**2 + j*y**3 + f*y and give j.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k. Let t = -40 - -49. Suppose 21 = 3*i - 0*i. Let d(l) = -2*l - t*l + i*l - 6*l. What is m(d(g))?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 0 + 71*a - 15 + 14. Let o(g) = 2*g**2. Calculate o(u(r)).\nAnswer: 10082*r**2 - 284*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 9 - 36 + 4*z**2 + 6.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 - 3*p + 8. Let u(q) = -q**2 + q + 1. Let s(i) = g(i) - 4*u(i). Let o be s(7). Suppose -o*k + 370 = -2*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 l when three letters picked without replacement from {d: 2, l: 1, b: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 6. Calculate m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 20997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 1109542740?\nAnswer: -1109542743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -20*g**3 - 23*g**2 + 23*g - 17. Let f(w) = -5 - 8*w**2 - 2*w**3 - 1 - 5*w**3 + 8*w. Suppose 274*t - 295*t = -126. Calculate t*z(b) - 17*f(b).\nAnswer: -b**3 - 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2534*i = -2495*i - 15054. Calculate the remainder when i is divided by 200.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5061 + -5559. Is -479 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 23*a - 6800. What are the prime factors of a?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -2\/43 (b) 0.3 (c) -3 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 3 + 39 + -4. Suppose -3*q + 7 = 5*r - r, 3*q - t = 2*r. Suppose -7*v + q*v = 2. Calculate the highest common divisor of 4 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4425122.28 less than 220?\nAnswer: -4424902.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/53 (b) -5 (c) 5 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171270 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-7) + (-57)\/(-11704)*8. Which is the nearest to 2? (a) v (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let u(k) = 15*k - 35. Let g(s) = -23*s + 52. Let f(z) = 5*g(z) + 8*u(z). Let v(n) = -f(n) - 6*w(n). What is the units digit of v(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4483512 a multiple of 1496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*q - 915 = 0, 4*q + 0*q - 396 = 2*m. Calculate the lowest common multiple of 10 and m\/(-28) - 4\/(-14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 668 + -2657\/4. Let v = -4 + l. Which is the nearest to 0.1? (a) -5 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*n + 6*n - n)*(-540*n**2 + 50*n**2 - 737*n**2 + n - n) - n**3 - 2*n**3 + 4*n**3 to r*n**3 + w*n**2 + f*n + k and give r.\nAnswer: 8590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*k - 63, 0 = 2*k + 10 - 2. Calculate the greatest common divisor of c and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x + 48 = 0. Let s = 106 - 88. What is the greatest common divisor of x and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301577610 divided by -3065\nAnswer: 98394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4290*a + 8503*a + 12908*a.\nAnswer: 25701*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 5) to base 4.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2602463 divided by -15?\nAnswer: 2602463\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 96321.16 micrometers?\nAnswer: 0.09632116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153503323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5893 or -5589?\nAnswer: -5893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*g - 148 - 269 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1065106, -4260366, -9585794, -17041390?\nAnswer: -26627154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 39 = -4*u, 3*u + 33 = 4*t + t. What are the prime factors of 1 + -4 - (u - 111)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2425 - -165083.6086\nAnswer: 165083.8511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -106. Which is the closest to 1\/4? (a) x (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14580, 11367, 8156, 4947, 1740, -1465?\n\"Answer: m**2 - 3216*m + 17795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7037 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61550814.\nAnswer: 2, 3, 13, 101, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (1 + 2 + (sqrt(1300) + (4*(-2 + sqrt(1300)) - sqrt(1300)) - sqrt(1300)))**2).\nAnswer: -35181 + 900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - -14636030?\nAnswer: 14636012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -904.7 at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 n, and 1 m when four letters picked without replacement from {n: 2, a: 4, e: 4, l: 1, o: 1, m: 2}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -352, -724, -1106, -1504, -1924, -2372, -2854?\n\"Answer: -a**3 + a**2 - 368*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 o, and 1 b when four letters picked without replacement from ooooooobbboobbcc.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1860*g = -2208 - 12672 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297479928?\nAnswer: 2, 3, 41, 302317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 113 = -s, 254 = 2*s + 3*m + 23. What are the prime factors of (-2 - s\/(-2)) + (-2)\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 29*g**2 - 11*g + 47. Give x(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -89 in descending order.\nAnswer: 6, -2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y + 6. Let x be (-76)\/(-2)*((-3)\/(-6) + 0). Let h = x + -15. Solve y*r + h*t + 24 = 0, r + 4 + 4 = -t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (20 + -22 - (-3 - 6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 5. Let k be z(-4). Let i = 2\/21 - 17\/105. Which is greater: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 935*v**3 - 4*v - 832*v**3 - 34*v**2 - 4*v + 34*v**2 - v.\nAnswer: 103*v**3 - 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154064388 and 684.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213 + -3?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(286\/(-165))*18\/315.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -2. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11285, -23031, -34777, -46523?\n\"Answer: -11746*q + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404900 is divided by 130?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4696 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 9\/3 + 16. Let f be 7\/7 + -2 - 1. Calculate the remainder when (-184)\/3*f + 5\/p is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + o - 9 = -7*p, -3*o = 3*p - 9. Suppose 0 = 5*w + 3*z + 7, z = 3*w - 7*w. Let s be (w - 0)\/((-3)\/(-9)). Solve -15 = p*m + s*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + (sqrt(35)*1*2)\/((sqrt(112) - sqrt(7))*6) + 2)*2 + -3.\nAnswer: 2*sqrt(5)\/9 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59507816 to the power of 1\/2, to the nearest integer?\nAnswer: 7714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14531162311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 24*r = -32970. Let v = 3311 - r. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42866959*a**5 - 48809392*a**2?\nAnswer: -2572017540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160441 (base 7) to base 13.\nAnswer: -11404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 448*v + 449*v + 1378 - 77*v**2 - 1376 in the form m*v + r*v**2 + i*v**3 + y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o - 3. Let i(m) = 8*m + 2. Let v(n) = -4*i(n) - 3*j(n). Let b = 8 - 3. Give v(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -4 (c) 0.5 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1229 divide 1270369369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 16653, 6, -4 in decreasing order.\nAnswer: 16653, 6, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.37 - 0.02. Let o = f - -0.39. Put -0.2, o, -0.3 in increasing order.\nAnswer: o, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -471*t + 46. Let y(j) = 94*j - 9. Let g(l) = 4*h(l) + 22*y(l). Let m be g(5). Let q = 1677 - m. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b - 1310 + 244 = -461 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvdbbd. Give prob of sequence bdbv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 174480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, n: 8, r: 2, z: 5, e: 2}. Give prob of sequence nfff.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -1, 0.2, -470?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) - sqrt(60))\/sqrt(12)*-2 + (2 + (3*(sqrt(20)\/sqrt(4) + sqrt(5)) + sqrt(5) + sqrt(5) - sqrt(5)))**2.\nAnswer: 22*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 5 + 6)*(8 - 123086*c + 51*c**2 + 246170*c - 123085*c) in the form g + k*c + o*c**2 and give o.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 4*q**2 - 2*q + 3. Determine z(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011010110000111 - -10011?\nAnswer: -100011010101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:19 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 3*d. Suppose m + k - 14 = 6*k, d = 5*m + 5*k - 160. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 2*j + 3807*j**2 + 3814*j**2 - 3*j**4 - 7622*j**2 - 16 to the form n + t*j**3 + r*j**2 + x*j**4 + v*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/95074740 and 89\/25353264.\nAnswer: 380298960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a**2 - 27*a + 56. Suppose 2*g - 30 = -2*o, 3*o - o - 4*g - 12 = 0. Calculate the remainder when q(2) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b**3 + 0*b**2 + 7*b**3 + 7*b**2.\nAnswer: -8*b**3 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12873517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -17*a**2 - a - 6. Determine w(4).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 2*m**6\/15 + 63*m**5\/20 + 3*m**2 - 142*m - 2. Find the first derivative of b(w) wrt w.\nAnswer: 16*w**3 + 189*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*y + 3*r - 146, -4*y + 5*r = -125. Suppose p - y = 9. Suppose 0 = 2*j - 16 - p. What is the common denominator of 45\/7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 289 - 271 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -67138.41 rounded to the nearest 1000?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-8)))\/x**(3\/5))\/(x**(-2\/23)\/x**(-2\/9)) assuming x is positive.\nAnswer: x**(-9041\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 107 = -350. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 3*s - 18. Let a be q(13). Let t be -1 + -117 + -1 + -1. Let m = t + a. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 - 3*z**4 + 3*z**4 + (-z**3 + 4*z**2 - 4*z**2)*(-3*z + 3*z - 4*z).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-130)\/(-14) + (-2)\/7. Let v(y) = 3*y**2 + 3*y + 4. Let s be v(-3). Let i = s - l. What is the greatest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2599*i - 4255 wrt i?\nAnswer: 2599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 16. Suppose 14 + 314 = c*q. Suppose -2*i - i + 2*x + q = 0, 0 = 5*i - x - 66. Calculate the remainder when 36 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 19 = -4*l - 3*x, -l - 21 = -4*x. Which is smaller: 4\/89 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1008 and 8181873.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 70 - y - 99)*(0*y**3 + 7*y**3 + y**3).\nAnswer: -8*y**4 - 1568*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 19. Suppose t*x - 5*u = 74, -x + 56 = x + 4*u. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 z when four letters picked without replacement from zaoanznzzazoa.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 88\/12 - (-4)\/6. Suppose 0 = m + f - 10. Suppose -m*c - 2*c = -28. Solve o - c = -4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/21 or 836?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*m - u + 22, 2*m + u = 8. Let q = 0 - m. Let n(a) = -a**2 - 8*a - 7. What is the units digit of n(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20269 + -17245. Calculate the greatest common factor of 96 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6616625*i - 9063083 with respect to i.\nAnswer: 6616625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*t - 10308, -92*g + 91*g = -t - 10338. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534 a factor of 52940328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 15, -4884 + 4738 = 5*c - 8*s for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-14)\/4) + 1 - -1. Solve 2 = 2*k - j*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -b?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 16 + (46 + -62 - -18).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -3*m**4\/4 + 3*m**3 + 17. What is the third derivative of s(v) wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y - l + 374 = 0, 0 = -y - 4*l + 389. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3246100 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 43*j**2 - 32*j - 525. Let n be a(44). Let m = 20 - 20.5. What is the smallest value in 0.3, -4, n, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499a (base 15) in base 7?\nAnswer: 63454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrr when three letters picked without replacement from {m: 4, r: 7, b: 1, z: 8}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -26*j - 178. Is 8 a factor of n(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(62\/1))\/(3\/(-132)*-11).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 29013.\nAnswer: -1\/29013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51822 by -2879.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/7, -0.4, -8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1395*a*p**2*r**2 + 9*a*p*r - 35*a*r**2 + a*r - p**2*r - 13*r wrt r?\nAnswer: -2790*a*p**2 - 70*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - -149. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/35)\/(3\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -51, -27, 29, 129?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 14. Suppose f = -4*j - 2*x - 12, 0 = 4*j + j + x + 9. Let n(h) = 4*h**2 - 5*h - 4. Let c be n(j). Solve 5*v = 3*g - 14, c*g + 18 = -v - v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 28. Suppose v - 2*z + 4*z - 6 = 0, -5*z = 4*v - 33. Let n be 3*((-224)\/v)\/7. What is the tens digit of y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110210011020 + -2202220?\nAnswer: 110200101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:50 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 146 = x, -3*x + 370 = -4*i - 68. Does 32 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 5 (c) 1\/25 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywwyyyw. Give prob of sequence yyww.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*p = -238*p - 564*p - 42811 - 7589 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2128 + -2109 + 1 + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12.93 in -1, 57, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -611*o - 36662. Determine z(-60).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5. Which is smaller: b or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094288909 rounded to five decimal places?\nAnswer: -0.09429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 20, 2*f + a = 4*f - 10. What is t in -1\/3*t**f + 2\/3*t**2 + 0 + 0*t = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528*s**3 + 1233*s**3 - 706*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2707 + 6361 = -58*j for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11960.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-19)\/i))**(-5\/4)*i**(2\/7)\/i*i**(3\/2) assuming i is positive.\nAnswer: i**(-339\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 7}. Give prob of picking 2 j and 1 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(85)*-4)\/sqrt(5) + (sqrt(34)\/sqrt(8) - sqrt(17)) + -3)*-4)**2 + 1)*-5.\nAnswer: -28265 - 2160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus 433818088?\nAnswer: -433818087.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f. Suppose f = 6*c - 9 - 3. Let -8\/9 - 2\/9*i**c - 8\/9*i = 0. Calculate i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than 1777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-16)*428\/(-535).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-57)\/5)\/((-7)\/(-210)*6). Let r = y + 54. Calculate the remainder when 17 + -2 + (r - 0) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 23. Suppose 3*p + 12 = -f. Let r(x) = x**2 + 8*x - 3. What is r(p)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/182260 and -115\/328068.\nAnswer: 1640340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17.55028 or -0.4?\nAnswer: 17.55028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lofooflddooddlofddo. Give prob of sequence lfd.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/6 - -5) + 0. Suppose t = -3*a + 55, -3*t + t + 115 = 5*a. Suppose m*w = 11*w - t. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 468456005 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2. Let s(y) = -4567*y**2 + 12*y. Let r(x) = -15559775*x**2 + 40887*x. Let z(m) = 4*r(m) - 13629*s(m). Calculate u(z(j)).\nAnswer: -41277698*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, -1091, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-3)*p)**(4\/15)*(p**(6\/11)*p*p*p*p*p)**(1\/35) assuming p is positive.\nAnswer: p**(61\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1848822 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -170992329+15305.16\nAnswer: -170977023.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*p**2 + 136*p**2 + 4*p - p**3 in the form t*p**2 + m*p + u + z*p**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, -22, -113, -236?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3151458 to the nearest integer?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.046 + -7.746. Let f = 8 + h. Which is the closest to 0.1? (a) f (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/((-39)\/13).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-2694)\/18 + -7. Suppose -286 = -13*k + n. What is the highest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -478 + 481. Let k = 2 + -1. What is the third biggest value in k, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(9) + sqrt(9)*1 + sqrt(9)) - (sqrt(15) + sqrt(15) + sqrt(105)\/sqrt(7)*-3 + sqrt(15)))\/((sqrt(3500)*2)\/((sqrt(56)*2)\/sqrt(8))).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 71*i**2 - 40*i + 1352. Determine s(35).\nAnswer: 1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -273.411+-2.4712133\nAnswer: -275.8822133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -25*x + y + 34, y - 14 = -x. Let v be 1 + -3 + (0 - -7). Suppose z = 2*z - 3*a, 4*z = v*a. Solve z = -4*r - 2*j + 6, -r = -3*j + x*j + 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 16*b. Suppose n = 5*t - 37, -n = -b - 3. Suppose -5*p = -h - 563, 4*h - 331 = -3*p + t*h. What are the prime factors of p?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-20)*1\/((-35)\/5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t + t - 13*t - 12*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Suppose -57 + 19 = -k*b. Solve -p + 2 = -0*p - 2*l, 4*p - b = -3*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -1\/2*h**3 - 1\/14*h**7 + 5\/8*h**4 + 1\/4*h**6 + 1\/112*h**8 + 0*h + 0 + 5*h**2 - 1\/2*h**5. Factor z(r).\nAnswer: 3*(r - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*v = 57*v - 37*v + 807 - 11528 for v.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20460*j + 20466*j - 252. Solve 40*m + 16 = j*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 309330.\nAnswer: 309330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 12*q**2 + 21*q + 49. Calculate the remainder when 411 is divided by o(-9).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 + 37*j - 115. Let i be g(-12). Let f = -275 + 565. Suppose -i*p + 22*p = f. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 24 = 6*q. Let z be 2 - ((-4 - q) + -5). Suppose 0 = 11*k - z*k - 20. Solve 4*j + 1 = k*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -966*h + 22*h**2 + 966*h + (-2 + 0 - 3)*(h - 2*h**2 - h).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5608702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1434*i**3 + 1436*i**3 + 0*i + 8*i**2 - 2*i - i**4 as x + c*i**2 + f*i**3 + t*i + a*i**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34138 - 21398. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 116?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1637057 is divided by 2860.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let r = 3.35 - -12.75. Let y = 16 - r. Suppose 3*i + 6 = -2*f - 1, i - 5*f - 9 = 0. Which is the closest to y? (a) 2 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1333504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:08 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*y - 3 = 35, 5*y = 20. Suppose -h + 98 = -16*s + 13*s, h = -3*s + 98. What is the remainder when 1*-1 + (h - -8) + -9 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39077689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 2*g**3 + 3*g**3 + (-4*g + 1 - g - 3*g)*(-g**2 - 4*g**2 + 4*g**2).\nAnswer: 9*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15914935 + -15914862.99773. Let f = -72 + b. Round f to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-4 + 3 - 1). Calculate the remainder when 27 is divided by 60\/9 - w\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2 + 5*x - 5 + 5. Suppose 4*v - 9 = 3. Let g(o) be the first derivative of -o**2 + o + 2. Calculate v*z(m) + 7*g(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, e: 1}. What is prob of sequence xee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3242 divide 59455038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -60*h + 2625. Let s be z(44). Suppose 2*a - 22 - 6 = v, -21 = 2*v + 3*a. What is the remainder when (s\/v*3)\/((-1)\/(-12)) is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 67.33497 kilograms?\nAnswer: 67334970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 - 6\/5*r**2 - 2\/5*r**3 - 6\/5*r.\nAnswer: -2*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 1 = -n, 10031*n - 10038*n + 18 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 10, g: 1, h: 1}. Give prob of picking 1 g and 1 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18845984)\/(-8 - -10) + -8. What is r rounded to the nearest one hundred thousand?\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5\/11 - 46*l**4\/11 + 156*l**3\/11 = 0. Calculate l.\nAnswer: -26, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148149.\nAnswer: 613, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*p**3 - 4*p**3 + p - 8*p**2 + 5 + 4*p**3 to r*p + u + n*p**3 + l*p**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 - 2*i - 7. Let y(l) = 37*l**2 - 17*l - 32. Let t(f) = 9*f**2 - 4*f - 8. Let s(x) = 9*t(x) - 2*y(x). Calculate -5*s(h) + 6*w(h).\nAnswer: h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2533 - 663 = 187*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/((-2*sqrt(20))\/sqrt(4) - sqrt(5) - sqrt(5)) - (sqrt(19) + 1 + -4 + 0 + -2*sqrt(19))) + 1.\nAnswer: 3*sqrt(19)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - 4.3. Let q = p + 7. Let f = q - 6. Which is the biggest value? (a) -0.3 (b) f (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-62 + 57)\/(0 - (5 - 4)). Solve 9 = -b + 4*g, 5*b + a*g - g - 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25638063 divided by -8546021\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:51 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - h**3 + 2*h**3 + (-4 - 2 + 5)*(-3*h**3 - 4*h**3 + 5*h**3) + 2 - 2766*h**2 + 2766*h**2 + 25*h**3 as u*h**3 + r*h**2 + v + q*h and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2. Let r(x) = -63808*x**2. What is r(n(g))?\nAnswer: -1020928*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 67\/3 of a minute?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022011201012 + -1101?\nAnswer: -2022011202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4, -0.1, -2\/35, -5\/6?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1889600 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.97 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/(2\/(-4)). Let o(t) = 3*t**2 - 4*t - 1. Calculate o(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207247 is divided by 1008.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59207, 59137, 59067, 58997, 58927?\nAnswer: 58857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93744, 374318, 841938, 1496604, 2338316, 3367074, 4582878?\nAnswer: 5985728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 6297 - 5769. What is the smallest common multiple of 60 and t?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 16 - 14 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288944616 and 7232.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1103 or 841?\nAnswer: 1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**2 + 23*c**2 + 34*c**3.\nAnswer: 34*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 + 102. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-248)\/(-310))\/((-2)\/15*-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 113\/13 (b) -3\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1773636811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256899 is divided by 128418?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j + 15*j**2 + 28*j**2 + 8*j - 13*j to q + t*j + d*j**2 and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-1 - (3 - 6). Let m be 3\/(3 + 6\/(-3)). Let j = m + k. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 6:28 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 242345 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**6\/120 - y**5\/20 + y**2. Let h be t(2). Suppose 4*x - 3*j = -2*j - 20, 0 = -5*x + 3*j - 25. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 12:07 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4*4\/3)\/((-254)\/(-3175)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 + 57 + 36 = 29*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2624412439775\/19952 - 263072619\/2. Let o = s + 5\/688. Find the common denominator of o and 43\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than 0.67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 168243608 to the power of 1\/2, to the nearest integer?\nAnswer: 12971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 2*s - 72. Suppose 0*n = 3*n - 3. Let z = s - n. Solve -4*h + 3*h + x = 0, -z = -x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-13 + -19 - (-7 + (-20 - -10)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 60. Suppose 10*n - q = 9*n. Solve i + 2 = -n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 669 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 675 - 671. Suppose -z - 1 = 3, 5*r = -5*z - 10. Let m be (-50)\/(r + -4 + 0). Solve 0 = -q*l + m - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186 - -188. Solve h = v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*h*z**3 - 2*h + 343*z**3 + 528*z + 2078227 wrt z.\nAnswer: 132*h*z**2 + 1029*z**2 + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 14, -5, 0.7, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 68704*i**2 + 68692*i - 137400.\nAnswer: 4*(i - 1)*(i + 2)*(i + 17175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2070237 (base 10) to base 14\nAnswer: 3bc661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -54. Solve a + 0 = -u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i - 9*i - 10*i - 5*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4664773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-55) - -18*30\/132) + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -176\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 723328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 58. Let y(f) = -38*f - 178. Let o be y(-11). Does o = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + 5*f + 28 = 0, -f - 12 = -p. Let o be p\/(-12)*6 - -6. Suppose o*n = 14 - 2. What is the smallest common multiple of n and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1309 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.68 - -0.32. Which is the third smallest value? (a) p (b) -3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, 16\/821 in descending order.\nAnswer: 0.4, 16\/821, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-17)*l*l**28 assuming l is positive.\nAnswer: l**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/6*(-6)\/20\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -0.8 (c) -0.117 (d) -0.1 (e) 0.1 (f) -4.6 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -276*p - 11. Let b = -32 + 30. What is the tens digit of y(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 238394800.29 to the nearest ten thousand.\nAnswer: 238390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14543 (base 6) to base 2.\nAnswer: -100100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 541, 588, 653, 736, 837?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r - 7. Let m be b(-3). Let i = m - -2. Let c = i - -20. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 9. Let d be i(8). Let v be 3046\/(-14) - 2*1. Let a = v - -220. Does a = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.34 - 0.3245. Round o to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*u**3 + 3*u - 174*u**3 + 121*u**3 - 9*u**2 - u**4 in the form s*u**2 + d*u**4 + x*u + m + p*u**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemmchhemeeehhh. What is prob of sequence ec?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(288)*4.\nAnswer: -5 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 0*s + s)*(-2 + s**3 - 5*s**3 + 3)*(-12*s - 6*s + 4*s).\nAnswer: -168*s**5 + 42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*z - 40*z + 2*z**2 + 87*z + 45)*(-2*z + 6*z - z).\nAnswer: 6*z**3 + 9*z**2 + 135*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 20 + 14. Let g be (-10)\/66*(3 - 6). Is g <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-45 - 20) - -7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + ((3 + sqrt(11))*-2)**2 - ((-2*sqrt(77))\/sqrt(7) - (sqrt(11) + sqrt(704) + 2))).\nAnswer: 84 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.1724772 hours?\nAnswer: 0.00718655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516 divided by -15.\nAnswer: -172\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15342869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let q(b) be the third derivative of -17*b**4\/24 + 4*b**2. What is m(q(l))?\nAnswer: 289*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/1638*56\/12.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -81*l + 14. Suppose -2*g = 2*g - 16. Suppose -3*y - 24 = 2*q - 6*y, 0 = g*q - 3*y + 36. Let r be t(q). What is r rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 5*k, 148 = 2*j - k + 139 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001624930474 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43471 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 18 + (-31 - -17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10647 and 2366?\nAnswer: 21294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 157850, 1262905, 4262338, 10103339, 19733098, 34098805, 54147650?\n\"Answer: 157865*a**3 - a**2 + 3*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 2:36 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48896 by 764.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2341 - 2?\nAnswer: 233a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2646*s - 15. Let d(z) = -9261*z - 54. Calculate 5*d(a) - 18*w(a).\nAnswer: 1323*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:03 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 7*w + 8. Let p be l(5). Sort 20, p, 4 in increasing order.\nAnswer: p, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -873215, -1746458, -2619689, -3492902, -4366091?\n\"Answer: f**3 - 873250*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199 + 214. Suppose u*v = 23*v - 64. Calculate the remainder when 60 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.49 - 5.9. Let a = -0.51 - r. Which is greater: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351 divided by 9.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 8165?\nAnswer: 816a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/120 and 47\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -17*(-3 + 8)*-2. Suppose -3*p - 2*p = a. Let j(w) = 11*w - 17. Let u(d) = 2*d - 3. What is p*u(t) + 6*j(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091 a factor of 11129291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-14))\/(85\/18445). Solve -72*s = -w*s - 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 140*n**2 + n - 1. Let j be f(1). Calculate the greatest common factor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 7*h + 11. Let b be z(-7). Calculate the highest common divisor of b and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*d + 7*y - 3*y, 4*y = 3*d - 40. What is the greatest common divisor of 304 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 5:28 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3988, -15928, -35828, -63688, -99508, -143288?\nAnswer: -195028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 5 = 0. Find the common denominator of (s + 8\/(-9))*-49 and (309\/(-1648))\/(6\/(-188)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 2 in increasing order.\nAnswer: -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -296.5 - -268. Let i = 26.8 + c. Is i greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 7*w**2 + 3*w + 19. Let i be u(-6). Let d = -37 + i. Solve d = -v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 92 - (99 - 61)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = 12. Let t(i) = i**2 - 3*i - 47*i + 54*i. What is t(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -364260*g**2 - 109*g + 866.\nAnswer: -728520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -19*m**4 - 51*m**3 - 5*m**2 + 31*m - 4. Let l(x) = -39 - 32*x + 10*x**3 + 44 + 41*x**3 + 4*x**2 + 20*x**4. Let z(n) = 4*l(n) + 5*s(n). Factor z(f).\nAnswer: -3*f*(f + 1)*(f + 3)*(5*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -315, 3 in descending order.\nAnswer: 3, -19, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.4 (b) -0.01 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5952407?\nAnswer: 5952407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (-4)\/1)\/(-1). Let i(t) = t**3 - 2 - 5*t + 4*t + y. Let v be 2 + 2\/4*0. Let c(o) = 2*o**3 - 2*o - 2. Determine v*c(x) - 5*i(x).\nAnswer: -x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 35, 1, -3 in decreasing order.\nAnswer: 35, 1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (-69)\/12 + (-17)\/68. Let r = 20 + -14. Suppose 0 = 3*i + 3*k - r*k - 5916, h = -4*i + 5*k + 7887. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 0, -2369, 0.06 in decreasing order.\nAnswer: 3, 0.06, 0, -4, -2369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 36*n - 100. Determine r(11).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/5 + 293*a**4\/5 + 24386*a**3\/5 + 81194*a**2 - 177255*a + 91125 = 0. Calculate a.\nAnswer: -135, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**7\/105 - h**6\/40 + h**4\/24 + 21*h**2 + 84. Let c(j) be the second derivative of t(j). Factor c(b).\nAnswer: -b*(b + 1)**2*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**2 - 8*l + 10. Let g(b) = -7*b**2 - 9*b + 11. Let i(o) = -5*g(o) + 6*s(o). Give i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14*v. Let u(t) be the first derivative of -7*t**6\/360 + 104*t**3\/3 + 76. Let d(m) be the third derivative of u(m). What is x(d(a))?\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23820 and 1706476710.\nAnswer: 11910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o. Let g(k) = 12*k + 5. Let r(z) = -4*f(z) + g(z). Let i(x) be the first derivative of -10*x**2 - 12*x - 3612. Give 5*i(a) + 12*r(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4)*14*6\/315?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -139606424, -279212844, -418819264, -558425684, -698032104, -837638524?\n\"Answer: -139606420*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/6)\/(d*(d\/d**1)\/d)*d\/(d\/d**(-17))*(d*d*d*d*(d*d**34)\/d*d*d)\/d assuming d is positive.\nAnswer: d**(137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 60 - 38 = 0. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-4)*r))**0\/(r\/r**(-2\/29))**(7\/9))**(3\/2) assuming r is positive.\nAnswer: r**(-217\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/5 + 106*k**3\/5 + 1504*k**2\/5 + 520*k = 0. Calculate k.\nAnswer: -26, -25, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2700 and 31\/447525?\nAnswer: 1790100","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 1863 + -1863.7528. Round h to 2 decimal places.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7951 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4521 + 3214. What is t rounded to the nearest ten?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.3 + 20. What is the nearest to -0.1 in 4, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*o - 2. Suppose -o*d + 2*g + 16 = 0, d - 3*d - g = -28. Suppose 3*b - d = b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d - 21. What are the prime factors of v(13)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 951 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/21 + -29\/84. Suppose 8*g - 22 = -4*d + 3*g, -5*d - 5*g = -25. What is the nearest to -1\/2 in j, d, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, -810, -1\/2, 0.2.\nAnswer: -810, -1\/2, 0.2, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o. Let t(z) = -516824*z. Give t(b(q)).\nAnswer: -1033648*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*g = 25, 2*u - 3*g = g + 12. Let w(i) = -25*i - 2 + i**2 + 28*i - 2*i**2. Give w(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 at least as big as 337\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*l + 1, 0 = -3*p + 4*l - 7*l + 12. Suppose 0 = 5*t + p*t - 32. Solve -2*y - 4 = 2*w - 2, -t*y + 2*w = -20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Let h(t) = t**2. Let g(u) = -16*u - u**2 - 24*u + 2*u**2. What is g(h(b))?\nAnswer: b**4 - 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/100 and -111\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/2 - 2374*s**2 - 469632*s - 22763520 = 0. Calculate s.\nAnswer: -96, 4940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 124802, 999575, 3373962, 7997771, 15620810, 26992887?\n\"Answer: 124968*g**3 - g**2 - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -47*m - 21. What are the prime factors of g(-5)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and -93.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30400407?\nAnswer: 3, 1125941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1295*a - 1295*a + 141*a**3 + (2*a - a + a)*(a**2 + 2*a**2 - 4*a**2))*(0*a**2 - a**2 + 4*a**2).\nAnswer: 417*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 202*z - 30722. Calculate x(152).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1458242\/89 + -16385. Find the common denominator of 31\/5 and l.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*1\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 2\/17, -28, -0.1 in descending order.\nAnswer: 0.6, 2\/17, -0.1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -2*b**3\/3 - 101. Let m(p) = -850*p. Determine v(m(i)).\nAnswer: -1445000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -7. Let z be 3299998 - (0 - 3 - w). Let y be (1 - -1) + 0 + z. What is y rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1735104*s*x - 2*s + 2602684*x with respect to s.\nAnswer: 1735104*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23*3 - (-11 + 15 + -1). Calculate the highest common divisor of 44 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4965079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, h: 2}. What is prob of picking 3 n and 1 h?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(4455)*2 - sqrt(4455)) + sqrt(55))*-6)\/(sqrt(10)\/sqrt(2)*4 + 1*sqrt(405)))**2.\nAnswer: 633600\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**3 + 61880*b**2 + 1050924*b + 1854360 = 0.\nAnswer: -15453, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:12 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + q + 18. Let a be f(0). Let o be (-14)\/(-6) - 6\/a. What is the third derivative of 3*c**o + 36*c**5 + 24*c**5 - 72*c**5 wrt c?\nAnswer: -720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.2 less than or equal to 238.7664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 4:52 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 2*f + 2. Let x = 30 + -39. Let k be -5 - 4\/(12\/x). Let j(m) = -4*m**2 + 6*m + 7. Give k*j(d) + 7*p(d).\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908232603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4605+7\nAnswer: -4598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*l**2 + 53*l**3 - 45*l**2 + 2 + 78*l**3 + 83*l**2 - 31*l**3 in the form c*l**3 + r*l + w*l**2 + m and give c.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2061930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uus when three letters picked without replacement from {g: 1, s: 2, u: 6, w: 2, h: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 9 - 4 - f**3 + 0 + f as z*f**2 + w*f**3 + v*f + s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-5\/6))**(-6\/13) assuming t is positive.\nAnswer: t**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 1)*(2587*s**4 - 648533*s**3 + 648533*s**3) in the form p*s**2 + j*s**4 + r + g*s + z*s**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*k = -180*k - 122*k + 7045957. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1382 * 5.\nAnswer: -6910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/43 + 174\/473. Let c(p) be the second derivative of s*p**2 + 1\/110*p**5 - 1\/33*p**4 - 1\/33*p**3 + 12*p + 0. Determine q so that c(q) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18124 - 6625. List the prime factors of y.\nAnswer: 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 755*f**2 - 28875*f - 28125.\nAnswer: -5*(f + 1)*(f + 75)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2448) - (0 + sqrt(2448))*-2)*-6 + (-2*sqrt(187)*2 - sqrt(187))\/(-2*(sqrt(11) + sqrt(176) + sqrt(11) - sqrt(11)) - sqrt(11)).\nAnswer: 4757*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 8, 61, 168, 347, 616, 993?\nAnswer: 1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107643656?\nAnswer: 2, 31, 37, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q + 91\/30*q**6 + 0*q**2 + 1\/6*q**4 + 27\/2*q**3 + 0*q**5 - 9. What is the third derivative of n(c) wrt c?\nAnswer: 2184*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - h - 29, -5*h = -4*y - y - 30. Let f = y - -10. Suppose -f*k + 15 = 2*k. Let l(b) = -b**3 + 2*b**2 + 3. Give l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3854773 and 793?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -2959*k**6\/30 - 13*k**3\/3 + 2*k**2 + 366*k + 1. What is the second derivative of c(v) wrt v?\nAnswer: -35508*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4612*h - 298*h = -94908 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 4*n + 1150.\nAnswer: -2*(n - 23)*(n + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*(-75)\/(-52))\/(63\/(-24) - -3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 8120 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24112 - -404431?\nAnswer: 330314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-10) - (-92)\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -9672357.3.\nAnswer: 8705121.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 992 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32314467 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3\/a)**(20\/3)*a**12*(a\/(a\/a**(1\/7))*a*a)\/a*a)**(-35) assuming a is positive.\nAnswer: a**(-2885\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 23 = 2*q + 5*r, -13 = -q - 2*r. Suppose 5*m - 14 = d - 3, 0 = 3*d - 2*m - 6. Put d, q, -1 in descending order.\nAnswer: q, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1615109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - r + q - 529, -r = 4*q - 151. Is 132 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t. Suppose 0 = -h - h. Suppose 5*o + 2*r + 17 = -h*o, -2*r = -5*o - 13. Determine l(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 70\/3. What is the nearest to 0 in -4, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 703 + 673. Let m = o + -132. Suppose -4*h + 65 = n, -4*h - 2*n + m = -22. What is the remainder when 64 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 5*i**4\/24 + i**3\/6 - 2*i**2 - 3*i. Let b(u) be the first derivative of h(u). What is the units digit of b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + b = 91, 9*t = 13*t + 5*b + 96. Put 2, t, -1 in ascending order.\nAnswer: t, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -3*n**6\/10 + 347*n**5\/20 - n**4\/12 + n**3\/2 - 1019*n**2\/2 + 1948*n. Find the third derivative of s(f) wrt f.\nAnswer: -216*f + 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5512, 10987, 16462, 21937, 27412?\n\"Answer: 5475*j + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 10*f - 29. Let s be q(14). Let k = 1273 + -1228. Calculate the greatest common divisor of s and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450461.\nAnswer: 11, 31, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -11. Which is greater: k or -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -138, 4\/7, 0.05, 20?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2) - -2)*-2. Let j(o) = 11 + 1 - 2 + 2*o - 5. Calculate j(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240319672.\nAnswer: 2, 179, 257, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let t be o(-3). Solve 0 = 2*c + t*h - 0*h - 21, 0 = -2*c + 3*h - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 210, 324, 516, 804, 1206, 1740?\nAnswer: 2424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015878 to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-2 + 38\/20). Let p = -329 + 326.91. Let s = 0.09 + p. Which is the closest to -1\/3? (a) -3 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 7*o**6\/30 - o**4\/12 + 2*o. Find the third derivative of t(p) wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*s + 36 = 0, 2*b + 1968 = -4*s + 2042 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 483688115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - x**3 - 11 - 29*x**2 + 11 - 6*x**2.\nAnswer: -x**3 - 35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/3053 and -19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r**3 + 2*r**2 - 1. Let p be t(1). Let g = p - -14. Suppose x + 56 = g*x. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -381 + 388. What is the least common multiple of 12 and r\/((-42)\/(-36)) + 194*1?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m**3 + 147*m**2 + 80*m - 115. Determine b(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372780999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*a - 5*i - 9, 2*i = 4*a - 14. Suppose -6 = -a*k + 9. Suppose -j + 5 = 0, 4*j = k*b + 2*b. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2280*f**2 + 2*f**4 - 3*f - 6*f**5 - 168*f**3 - 2525*f**2 - f**4 + 4*f + 5470*f**2 wrt f.\nAnswer: -360*f**2 + 24*f - 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -2 - (-8550 + -5)) + 8. Calculate the greatest common divisor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-1))\/(4 - 3). Let z = y + 8. Suppose -z*l - 126 = -3*h, 3*l + 51 = 2*h - 34. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, y: 10, v: 6}. Give prob of sequence vvy.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 161240 (base 7) to base 9\nAnswer: 47412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1378228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggsbsyycsbgcgggsyx. Give prob of picking 1 g and 1 s.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -18. Let u = 14 + d. What is the highest common factor of u and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + h + 23 - 5*h**2 - 11 - 10 to n*h**2 + u + s*h + c*h**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12901 - 12813. What is the highest common factor of 2156 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 - 2*q - 8. Let f(v) = 93*v - 78*v + 1 - v**2 - 16*v. What is -f(y) + n(y)?\nAnswer: -2*y**2 - y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 711, 707, 701, 693, 683, 671, 657?\n\"Answer: -p**2 - p + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/220 or -1.2?\nAnswer: -3\/220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2090 = 24822*x - 24917*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 123. Let z = s - -413\/6. Let p be -1*(1 + -1 + 0). Which is the nearest to p? (a) z (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 93926*s**2 - 93920*s + 187848.\nAnswer: -2*(s - 1)*(s + 2)*(s + 46962)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/2 + -5\/6. Let z = -12.486 + 0.086. Let w = z - -12. What is the fourth smallest value in w, -3, 8, u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 395684, 1, 2, -4 in descending order.\nAnswer: 395684, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, u: 9}. Give prob of sequence lll.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -97114, -194229, -291342, -388453?\n\"Answer: w**2 - 97118*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*d - d + 10 = 0, 4*j + 5*d + 12 = 0. Solve 5*q = -4*r - 25, 7 + 3 = -r - j*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*m + s, -2*m - 9*m - 8*s - 5*s = -9*s + 49 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/5 + 48*w.\nAnswer: -3*w*(w - 80)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a. Let p = -7 + 11. Suppose -2*c = -p*x - 25 + 3, 4*x = -20. List the prime factors of o(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/(((-33132)\/(-2178))\/251)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 2*f - 8, -5*q + 2*f + 12 = 4*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**3 - 44*d**4 + 5*d + 6*d**3 + 105 - 28 + 46*d**4 as s*d**3 + q*d**2 + a*d**4 + z + i*d and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, 17, 8?\n\"Answer: -9*i + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 + -160 + 2 + 2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 42592*y**3 + 85181*y**2 + 42590*y.\nAnswer: y*(y + 1)**2*(y + 42590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ciciciicicci?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*h**2 + 34*h - 34*h)*(8*h - 19*h + 8*h) + (3 - 2 + 1)*(-4 + 2 + 0)*(h**3 + h**3 + 0*h**3 + (h - h - 2*h**2)*(2 - 2 - 2*h) + h**3 + h**3 - 3*h**3).\nAnswer: -92*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.3 (c) 1\/4 (d) -110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360400 and 1284826.\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/50 - (-16)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10100001110001001001?\nAnswer: 10100001110001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w - 1. Let b(x) be the third derivative of x**6\/60 - x**4\/8 + x**3\/2 - 93*x**2. Let c be 6*(5\/2)\/(-5). Give c*v(f) - b(f).\nAnswer: -2*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 206867249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 - -2.5. Let i be ((-39)\/351)\/(3\/(-81)). What is the closest to 1\/2 in -2\/15, i, u?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6886.1 - -6822.154. Let h = i + 64. What is h rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 17 - 10)*(0*n + 2*n**2 + 0*n)*(-n + 94 - 94).\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-161))\/(28\/84)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 7*n**2 + 2*n - 10. Give k(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5830589188 to the nearest integer?\nAnswer: 76358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93552 is divided by 31173?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 5*x. Let d be n(-5). Let w(s) = s**2 - s - 2. Let h(q) = q**2 - 4*q + 1. Let a be h(3). Let b be w(a). Sort 5, b, d in descending order.\nAnswer: 5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -d, -2*y + 0 = 4*d + 8. Let q be y\/39 - (-4)\/26. Solve 0 = 3*a - 9 - q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 30 + -2134 + 2119?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 6*s**2 - 8*s. Let n be t(7). Let x(h) = 2*h**2 + 11*h + 6. Determine x(n).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 - (-1 + 16 + -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 8*u**2 + u - 5. Suppose 0 = 3*y - 4 - 20. Let r be m(y). Suppose r*g = 3*j - 0*j - 24, g = -2. Solve q + 4 = j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (9 + 19) - -41?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 35*k**3 - 3*k**2 + 4*k**2.\nAnswer: -35*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -63*y - 18. Let c be 1\/3 + (-1)\/(21\/70). What is the tens digit of b(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86812202?\nAnswer: 2, 89, 487709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 987448738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*(-5496)\/75570.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 13) to base 12\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/1131)\/(20\/(-10))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10081119209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*4 - 903\/903?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9972 and 2070.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 40 = 4*p, -125*g + 120*g - 20 = -2*p. What is the remainder when p is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b - 4. Let u(x) = -1. Let p(d) = -a(d) + 4*u(d). Suppose 0*i = 3*i - 42. Let j(z) = -i*z - 14*z + 29*z. Calculate j(p(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + y = 5*m - 6, -5*y - 10 = -5*m. Suppose -m*d = 5*j - 30, -4*d + 18 = -3*d - 4*j. Calculate the lowest common multiple of d and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4504, -9084, -13746, -18490, -23316, -28224, -33214?\n\"Answer: -41*w**2 - 4457*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -906*j**2 - 21*j - 93 + 458*j**2 + 449*j**2. What are the prime factors of i(-13)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*(-5)\/(-6))\/(2 + -4). Let f = -81\/5 - -167\/10. What is the biggest value in f, -4, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**1*v*v**(1\/4)*v*v**(6\/7)*v*v**5 assuming v is positive.\nAnswer: v**(311\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6463 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(28\/(-12) - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -537, -1076, -1615, -2154, -2693, -3232?\n\"Answer: -539*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -23094381 <= -23094381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/140 and 58\/8*11\/1540*-5.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 52.95.\nAnswer: -26.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 0*b**3 - 1 + 2*b**3 - 1 + (2*b + 1 - 1)*(33*b + 4*b**3 - 33*b) - b**4 + 3*b - 3*b + b**4 + 48*b**4 + 0*b**4.\nAnswer: 55*b**4 + 2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1776 by 16.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 3, -23, -55, -93?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h. Let r(y) be the second derivative of 5*y**4\/2 + 69*y**2\/2 + 24*y + 3. Let k(j) be the first derivative of r(j). Calculate w(k(q)).\nAnswer: 180*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1848, 3, -4 in descending order.\nAnswer: 3, -4, -1848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -302153 (base 12) in base 15?\nAnswer: -ec409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 150227332 divided by 37556833?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1290865?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 1:19 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (469\/70)\/(2\/(30\/63)) and (-5)\/(110\/4) + 2795\/550.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5))**42\/(o**(-4))**(-11) assuming o is positive.\nAnswer: o**(-178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 23*g**6\/420 + g**5\/10 - g**4\/42 - g**2 - 59*g + 68. Let z(i) be the second derivative of m(i). Factor z(r).\nAnswer: 2*r*(r + 1)*(23*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let x(c) = 12*c**2 - 2*c - 8. Let z(y) = -24*y**2 + 5*y + 19. Let u(p) = -5*x(p) - 2*z(p). Calculate f(u(m)).\nAnswer: -24*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 131 + 1 = 0. Calculate the common denominator of -67\/6 and i\/(-28)*(-6*3 - 4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, -6, -5, -25, 66 in decreasing order.\nAnswer: 109, 66, -5, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*k + 1, -1388 = -4*h - 4*k. Let a = 372 - h. What is the remainder when 167 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 28219872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -22. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2450 > -187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - sqrt(63)\/(sqrt(21)\/sqrt(3)) - sqrt(9))\/sqrt(3).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*d = -k - 12, -k + 5*d + 27 = 0. Suppose k*p + 35 = g, -2*g + 190 = 3*g - 5*p. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 + 4*y**2 + 2*y**2)*(-1 + 1 + 2*y) + (6 - 6 + 5*y**2)*(y + 0*y - 3*y) + 0*y + 0*y - 2*y**3.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6516051 by 1401.\nAnswer: -4651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3790.21 + -3819. What is m rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, 13, 423, 983, 1699, 2577, 3623?\nAnswer: 4843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075636.\nAnswer: 2, 3, 73, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269 (base 10) to base 3.\nAnswer: 100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 22*s**2 + 25*s - 42. Let p = -4 + 27. Let l be w(p). Suppose -d - l*i + 18 = 0, -3*d - 3*i + 16 = -d. Solve 2*c - d = -12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3557655.822 and -2251.\nAnswer: 3555404.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**2\/b**(-3))\/(b*b*b*b*b**(-9)*b*b\/b**(-1\/6)))**(-31))**(-6\/13) assuming b is positive.\nAnswer: b**(1457\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 7)*(0*y + 0*y - y) + 4*y + 5*y - 5*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/7 + 46*l\/7 - 3180\/7 = 0. Calculate l.\nAnswer: -53, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 5. Suppose 2*z - 4*z = 0. Let q = n - z. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -801767, -801768, -801769, -801770, -801771?\n\"Answer: -g - 801766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/11039700 and 101\/33044.\nAnswer: 121436700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/(2\/(-4)). Let r = -2 + h. Let m(n) = 5*n - r - 3*n + 0. Determine m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v = 5*b + 210, v + 2 = -5*b + 4*b - 4 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 1\/3*g**3 - 5*g + 19 + 1\/2*g**2. Let u be j(4). Solve 3*a + u = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 - 3*z + 12. Let d(k) = 9*k**2 - 5*k + 24. What is 3*d(a) - 5*l(a)?\nAnswer: 2*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + ((-9)\/3 - -17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 - -27.02?\nAnswer: 102.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - 78. Suppose -37*b + 1038 = -s*b. Round b to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 13*a + 2. Determine t(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.067 + -676934.\nAnswer: -676933.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 9. Let b be y(-17). Let k = b + 46. Let 0 - 2\/7*x**2 + 0*x + 2\/7*x**4 + 2\/7*x**k - 2\/7*x**5 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 5*o**2 - 2*o**2 + 5*o**2.\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.538078 minutes in nanoseconds?\nAnswer: 152284680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/30 + 23*s**4\/24 + 7*s**3\/3 - 17*s**2. Is p(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158352 and 116304?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89591256*b**4 + 191591613*b**2?\nAnswer: 2150190144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/15*118\/(-177))\/((-40)\/(-100)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 + -24 - (-12 + -28) - 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 9 + 8*u**2 - 10 + 2*u.\nAnswer: 8*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1169 + 1168.99993162. What is w rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -y. Let r be -2*1 + (-690)\/(-30). Suppose 19*m - r*m = -2. Solve y = -i - 4 + m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 895a + -43?\nAnswer: 8917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 0.7. Let o = 64\/97 + 2\/291. What is the second biggest value in 0.2, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 s when three letters picked without replacement from wwgsggspp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431*w - 4*s = 432*w + 26, -2*w - 3*s - 27 = 0. Let j(o) be the second derivative of o**5\/20 + 5*o**4\/12 - 4*o**3\/3 - 2*o**2 + o. Calculate j(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:38 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*w + 20 = 0, 0 = 224*w - 222*w - 2. Put g, 1, -267, -5 in descending order.\nAnswer: g, 1, -5, -267","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 1\/2, 0.4, 93989 in ascending order.\nAnswer: 3\/8, 0.4, 1\/2, 93989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57561 and 25221?\nAnswer: 69130761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 7*o**2 + 7*o - 2. Suppose -2*s + 17 - 3 = -4*d, 4*s + 2 = 2*d. Let g = 11 + d. Calculate f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110.836 nanometers to meters.\nAnswer: 0.000000110836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 8, -n = -2*m - 48 + 46 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 80\/3, 0.5, -1, 0.7, 0.3, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2678748*-4.\nAnswer: -10714992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4\/7 - 86*c**3\/7 - 426*c**2\/7 + 2294*c\/7 + 376 = 0.\nAnswer: -7, -1, 4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -59. Suppose -o*r + 8 = -4*p - 5, 0 = 4*p + 4. Suppose 0 = r*x + 2*x - 75. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 814 divide 16190630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 5 - 562\/(-16). Let l = -1686568399\/264 + 6388550. Let r = m - l. What is the common denominator of 76\/3 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = g - 40901, 122675 = 17*g - 14*g - t. Let x = -27082 + g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 less than 0.00358882557?\nAnswer: -0.13641117443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.47071596 to three decimal places.\nAnswer: 7.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4)\/(2\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 1935000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 741?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -85. Let c = -51 + p. Solve -c*a + 8 = -7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 6) to base 11\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -389*p**4\/12 - p**3\/3 + 1712*p - 3. Let u(k) = -2*k**2. Determine y(u(b)).\nAnswer: -1556*b**4 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2371199 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-187) + -3 + (-36)\/(-33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 7*w - 5. Let n be a(5). Let g(k) = k - 18. Determine g(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20911584 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddtqddddejdodtodddj. Give prob of sequence oo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 - -20a?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 1. Let d be x(4). Is -10 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1720)\/(-2924))\/(330\/42636)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(-2 + sqrt(300)))**2.\nAnswer: -13680 + 1800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 at least as big as 118330\/2067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 34, 55, 76?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3\/3 - i**2 + 2*i + 22. Let s be -8*3\/(-6)*1. Give w(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from bbzyz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1*10*153\/85.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 - -156. What is the remainder when 110\/4 - 1\/m is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -60499\nAnswer: 36\/60499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 * -2.9.\nAnswer: 0.1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3794, -4836, -5906, -7004, -8130?\n\"Answer: -14*h**2 - 1000*h - 2780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 22. Let n be u(-26). Solve -4*c + n*j - 12 = 0, 4 + 1 = 3*c + 4*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 - 59*u**2 + 11*u + 32. Let c(h) = -2*h**3 + 30*h**2 - 5*h - 16. Let g(i) = -5*c(i) - 2*q(i). What are the prime factors of g(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k. Let v(u) = -5*u + 4. Let o(n) = 3*n - 3. Let a(m) = -4*o(m) - 3*v(m). Give a(x(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7534, 10060, 12578, 15088?\n\"Answer: -4*z**2 + 2538*z + 5000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 5*a = 5*k - 5, 3*k = 4*a - 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18254, -36534, -54814, -73094, -91374?\nAnswer: -109654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*b + 4*f, b - 12 = -20*f + 15*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.348 + 0.048. What is the closest to 11 in -4, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3173.5 - 3924. What is d rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7672471 to the power of 1\/2, to the nearest integer?\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187 + 235. Suppose 212 + r = 5*z. Calculate the remainder when z is divided by 65\/7 - (-2)\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1088)\/(-14) - 4\/(-14). Suppose -a = -2*v - 4. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49\/3 - -149\/9. Suppose -2*l + 3 - 1 = 0. Which is greater: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -876\/7 + 3553\/28. Which is the closest to r? (a) -3\/5 (b) 0.5 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*l - 5*o, -3*l + 23 = 3*o + 2. Let m be 82\/(-4) + 2\/l. Let f = m - -30. Solve -5*z + 5*r = f, z + r + 0 = -6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19) + 1) + 5 + 1.\nAnswer: 9 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9848.\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 60 - 66 = q, 0 = -2*q - 3*c - 8. Solve 3 = 4*i + k - 4, 8 = q*i - 4*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35320 is divided by 64.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)*(1 + 961626). Suppose 3*q = 2*a - 694881, -4*a = -5*q + a - 1158135. Let m = q - l. What is m rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/27)\/((-1)\/(-18)). Suppose 3*s - 4*q + b*q = 397, 4*s + 2*q - 526 = 0. Suppose -5*o = -s - 126. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + -60. Let o be k - 0*1\/(-4). Suppose -5*j + 4*x + 70 = -0*j, 0 = -3*j + 4*x + 50. What is the greatest common divisor of j and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_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: Which is the third smallest value? (a) 2 (b) -0.5 (c) 88538 (d) 1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w*z**3 + 672*w*z - 26*z**3 + 12*z with respect to w.\nAnswer: -z**3 + 672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -773 + 26. Let k be y\/(-12) + (-3)\/12. Let c = k - 62. Let s(z) = z**3 + z**2 + 10. What is s(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let y = -7 + 10. Let d be 0 - -2*(-2 + y). Let z(g) = -11*g + 2. Let r(k) = d*z(k) + 18*q(k). Find the first derivative of r(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y**4 - 6*y**3 - 9*y**2 - 6*y. Let w(m) = 2*m**3 - m - 3 - 3*m**3 + 3. Let t(a) = -q(a) + 6*w(a). Find the third derivative of t(b) wrt b.\nAnswer: -264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2249 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5061, 10094, 15127, 20160, 25193, 30226?\nAnswer: 35259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 91.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138283213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.5*87.4.\nAnswer: -1704.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.2, 230, 4, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 2*c**4 + 0*c**3 + 6*c**4 + 0*c**4 - 4*c**4 + (-2*c + c**2 + 2*c)*(3*c**2 + 0*c**2 - c**2) as p + w*c**2 + u*c**3 + r*c + z*c**4 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55074684 and 33?\nAnswer: 605821524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169238 - 310296 = -142*v. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4)\/b)**(-49)\/(b*b*b**(2\/15)*b*b\/(b*b**(-3\/4))))**(2\/5) assuming b is positive.\nAnswer: b**(986\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -390, -1295, -3062, -5979?\nAnswer: -10334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51430170 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 46074171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*h**2 + 18*h**2 + h**3 + 4*h**2)*(2*h + 4*h - 4*h) - 2*h**4 - 2*h**4 + 3*h**4 as l*h**4 + a + b*h**2 + g*h**3 + w*h and give g.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35.899395 - -35.9. Round k to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 2*q + 3*q. What is the greatest common factor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2318 divided by 97\nAnswer: -2318\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6545 and 429.\nAnswer: 255255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgddxgxd. Give prob of sequence xx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 166 and 0.0156?\nAnswer: 2.5896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3622.\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*(-3)\/6*2. Let c = h - 13. Suppose 204 = 4*l + c*z, 4*l - z + 2*z = 200. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 - 3*h**3 + 7*h**2 - 14*h**2 - 153 + 13*h**2 + 141.\nAnswer: -3*h**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*l - 0 + 1, 4 = 4*j - 4*l. Let r(m) = 2 + 4 - 2 - 3 + m**2. Let v(h) = 2*h**3 - 8*h**2 - 7. Determine j*v(k) - 6*r(k).\nAnswer: -2*k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3\/4 - 63*r**2\/2 - 1323*r - 18522 = 0?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 - -0.13. Let r be (10\/(-2) - -5)\/2. Suppose 4*h = 3*o + 12, r*o = 2*h - 5*o - 20. Which is the second biggest value? (a) -5 (b) h (c) 5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/6 - (-6)\/9. Suppose 4*n - 8 = -4*a, -5*n + 2*a - 20 = -2. Let i = -1 - n. Is i smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12829314.2 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72682*b*f**2*u**3 + 2*b*f**2*u**2 - 4*b*f**2*u - 2*b*f*u - 8*b*u**2 - 22*f**2*u wrt u?\nAnswer: -436092*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 333 - 170. What are the prime factors of h?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -879 or -2804?\nAnswer: -2804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/33 and -107\/311172.\nAnswer: 3422892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 1172 = -50. Let j = k + -83. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 0 + 6. Let y(t) = -3*t + 1 + 0*t + w*t. Let v be y(0). Which is the biggest value? (a) v (b) -1\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*3\/(12\/(-56)). Which is the nearest to -0.1? (a) -4 (b) 1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11866 divide 920744156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-1\/15))**(-4\/33)*((j\/j**(2\/25))\/j**(-5))**(-2\/71) assuming j is positive.\nAnswer: j**(-30724\/175725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*b + 4*b + 14*b + (5 + 6*b - 5)*(1 - 5 + 3).\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 5*x - 2154, 2*x + 1078 = 2*b. Let w = b - 85. Suppose -18*s + 330 = -5*s - 411. Calculate the greatest common factor of s and w.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**3)\/a**(3\/2))\/(((a*a\/(a**(-4\/9)\/a))\/a*a)\/(a**(-4\/7)\/a)))\/((a*a**(1\/2))**(-1\/19))**(-1\/7) assuming a is positive.\nAnswer: a**(-10207\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*g + 191 = -5*q, 65*g - 5*g - 2*q - 5*q = -6*q + 239 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100031002 (base 5) to base 4.\nAnswer: -1133312303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847931103.\nAnswer: 3, 94214567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddaa when four letters picked without replacement from {d: 3, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**3 + 5*b**2 - b + 9. Let n(i) = i**3 - i - 1. Let z(p) = 4*n(p) + u(p). Let k be z(4). Is 26\/(k + 0) - 0 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5004249 = 3*z - 5004225 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-453)\/(-990)*289\/17 - 8 and 157\/594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3910350?\nAnswer: 2, 3, 5, 131, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 598 (c) 0.33 (d) -0.6 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -164245 and -5.\nAnswer: 821225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 433122 + -435286.004. Let l = -2171 - p. Let z = l - -7. What is z rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 3*n - 2*n to the form x + d*n and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4217395 - -0.09\nAnswer: -4217394.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 - 17.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131800*p + 26*p**2 - 144*p**2 - 263*p**2 + 6 - 131801*p.\nAnswer: -381*p**2 - p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/556949 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 2. Calculate the remainder when 14 is divided by (d\/1)\/((-6)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f + 2*x = -14, 0 = -f - 3*x + 14. Solve 3*t - 1 = j - 3, f*j + 3*t = 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236552 is divided by 1170?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 32844800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568774539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2303 and -0.6.\nAnswer: 1381.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - 2*a + 0*a)*(0*a + 3*a**2 + 0*a - a**2 + 0*a**2 + 3*a**2 + (-5 + 3*a**2 + 5)*(2 - 6 + 3)) to the form p*a**3 + t*a**2 + i + l*a and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -3. Let x be -1*15\/(-9)*m. Let r = x + 9. Solve 15 = p + r*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -333027 less than -333014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145803\/22 + -6625. Calculate the common denominator of 1\/4 + (-83)\/(-8) and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - a917a?\nAnswer: -a9181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i - 15. What is p(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3 - 55938*a**2 + 391128*a + 9507080 = 0.\nAnswer: -10, 17, 27962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 5.\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + i**2 + 6. Let b = 3 - 1. Suppose -r + 5 = b*z, 2*r - 6*r = 4*z - 20. Calculate y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*r + s, 6766*r - 6762*r - 5*s = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 19*j + 35. Determine l(-6).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 1. Let z = -2 + 3. Let h(l) = 3*l**2 - 3*l - 2. Let s(v) = z*h(v) - 2*y(v). Find the second derivative of s(x) wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -27*f - 289. Let z be g(-18). Solve z*j - 4 = 195*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - v**4 - 2*v**4 + (1 + 0 - 2)*(368 + 193 + 125)*(-2*v**4 + 0*v**4 + 0*v**4).\nAnswer: 1371*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let n = 183 - 184. Is n less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671854358?\nAnswer: 2, 7, 59, 813383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5*j + n = -6*j - 37 - 12, 1025 = 3*j - 17*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2139)\/(-37076)*((-64)\/(-36))\/(-8).\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - z - 13, -3*x = -5*z + 38 - 35 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - -9 - (-1 - (5 + 73 + 7))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011271 to four decimal places.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -14. Let z be 3 - (-1)\/(-1 - f). Solve 4*i - 5*p = -20, i - 2*i - z*p + 8 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000177661 to seven decimal places.\nAnswer: 0.0001777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2 + sqrt(13) + -2 - -3*sqrt(13)*1)**2.\nAnswer: -40*sqrt(13) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22443142 (base 6) to base 15\nAnswer: -d9772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (343710\/(-1395))\/6 - (-2)\/31\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, y: 7}. Give prob of picking 1 z and 1 y.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9879 or -9756?\nAnswer: -9756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 6, 2, -1414, -29 in ascending order.\nAnswer: -1414, -29, -1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29)\/(-40) + (-5)\/40. Which is the third biggest value? (a) 3\/4 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {t: 1, q: 1, d: 1, a: 1, y: 2, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 + 2*l - 2. Let p(i) = 2*i - 3*i**2 - 5 + i + 2. Let w(t) = -7*t**2 + 7*t - 7. Let q(r) = -5*p(r) + 2*w(r). What is a(o) + 2*q(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -s + t, -1 = 3*s + 5*t - 7. Which is the biggest value? (a) 5 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 18*m**2 - 15*m - 28. Let k = 97 - 80. Let p be g(k). Suppose p*v - 85 = 179. What is the remainder when 173 is divided by v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 4*t - 1201. Let q be 4 - (12\/(-3) - 0)\/(-1). Let d be a(q). Is (16\/40 - d\/(-15))*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 5*c**2 + c - 4. Let d be (-24)\/(-5) - 1\/(-5). What is v(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 - (-4 - 3\/(-15)). Sort y, 2, -3, 5 in ascending order.\nAnswer: -3, 2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19683\/22 - 13816729\/15444. Calculate the common denominator of w and 5\/24.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.042 + -3.042. Let x = -21 + 20.4. Put i, x, 0.2, 0.4 in ascending order.\nAnswer: i, x, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**2 - 10*o - 5. Let n(i) = -26*i**2 - 8*i - 13*i + 0*i - 10 + 11*i**2. Let f(g) = -13*a(g) + 6*n(g). Calculate f(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105\/44 + 4\/11. Let o(g) be the first derivative of 14\/3*g**3 + 14 + 0*g + 0*g**2 - s*g**4. Find the third derivative of o(c) wrt c.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*b + 9. Suppose 2*g = -4*s, 3 + 3 = -2*s + 2*g. Let k(p) = -4*p**3 + 3*p. Let x(r) = -r**3 + r. Give b*x(i) + s*k(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + q**4 + 0)*(0 - 1 + 0) + 0*q + 0*q + 2*q**4 + 8*q + 2 + 4*q**4 - 8*q.\nAnswer: 5*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18048.99999825 + 18049. Round i to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 29 = 2*g, 3*y - 15 = 0. Suppose 3*b - 2*b - 3 = 0. Find the third derivative of -5*u + g*u**2 + 2*u + b*u + 23*u**5 wrt u.\nAnswer: 1380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2082480 divided by -80\nAnswer: 26031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -17. Let h be (2 - u) + (7 - 1). Solve 2 = h*b - b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228 - 60202*d + 60202*d - d**2 to the form f*d + z + l*d**2 and give z.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 86514.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2093 (base 15) to base 2.\nAnswer: -1101011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/30)\/6*((-1280)\/(-24))\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, j: 15}. Give prob of sequence jjj.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q + 42. Let f be d(5). Let a be (-1)\/(-3) + 82\/(-12). Let l = f - a. Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 97486, 97484, 97482?\n\"Answer: -2*b + 97488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -12. Suppose -4*g = -k*g - 162. Let h be (-4)\/(-12)*g\/3. Let b(c) = 3*c + 4. Let w(z) = -3*z - 5. Give h*b(n) - 2*w(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**3 + 0*l**3 + l**4)*(-5 + 4 + 0) - 181*l**3 + 181*l**3 + 2*l**4 as z*l**2 + b*l**3 + t + i*l + h*l**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l - 28. What are the prime factors of s(16)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 10*v - 7. Let r(a) = -2*a + 1. Let q be r(5). Let c be x(q). Solve -5*h + c*k + 17 = 0, -5*k + k = -h + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.929211kg to milligrams.\nAnswer: 8929211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 2*v - 478. Let w = v - -150. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*3 + 5 + -2)*5 + 4*-6*(sqrt(637) + 2*(sqrt(637) + (sqrt(637) - 1*sqrt(637))) + sqrt(637)))**2.\nAnswer: -17010*sqrt(13) + 4179582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*r - 21 = 6, 3*r = -5*y + 15. Suppose -y = -2*k + 6. Solve 2*p + b = -0*p - 9, p = -b - k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3399653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(78) - (sqrt(78) + sqrt(78) + sqrt(78)*-1 + sqrt(78) + sqrt(78))))\/(5*sqrt(2)*1))\/((sqrt(9) - (-2*sqrt(90))\/sqrt(10))\/(2*-2*sqrt(3))).\nAnswer: 16*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6438 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2572, -2611, -2650, -2689, -2728?\nAnswer: -2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 9. Let v be (-8)\/(-2) + -11 + 3. Determine z(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 5, 69 in descending order.\nAnswer: 69, 11, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210 + 206. Calculate the remainder when (-6)\/m + 4255\/46 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 3*x + 36. Let p(z) = -11*z**2 + 8*z - 107. Suppose -2*v = -5*v - 24. Let o(y) = v*w(y) - 3*p(y). What is the units digit of o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 11)*(8 + -1 + -80). Calculate the greatest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 20*c + 326. Calculate i(-18).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 2\/13 (c) 4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 3 + 3 - 1. Calculate l(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09 and 8872515?\nAnswer: 8872514.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4988 divided by -29\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 664 divide 620176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 599215480663.\nAnswer: 599215480668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 9:19 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + d - d - d)*(10 + 3*d - 91 - 36) to l*d**2 + c*d + j and give j.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39714 = -84*z + 90*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 1 y when three letters picked without replacement from {x: 11, y: 4, j: 3, d: 1}?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -17.712?\nAnswer: 18.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 32*k + 2. Let h be m(8). Suppose 0*v - 3*v + h = 0. Suppose 5*f = 4*i + v, 5*f + 3*i - 95 = -2*i. Solve -4*b - f = 4*x - 6, 0 = 4*b + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfgfoujfff. What is prob of picking 1 f and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/3*2\/(-5). Let m(k) = k**2 - 3*k + 3. Let d be m(2). Let r be (-21)\/19 + 2\/2. What is the third biggest value in d, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 7*a + 2. Let i be g(7). Suppose 77824 - 2364 = 1367*f - 289*f. Put 5, i, f in descending order.\nAnswer: f, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12148 = -2*a, -17*f = -16*f + 3*a - 4053. Calculate the greatest common divisor of f and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 10, -2*g = 3*k - 0*g - 358. Suppose -12 = -5*m - s, 2 = 5*m + 2*s - 7. Let d = k - m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 3:17 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5 = 4*b + 6, -4*p - b = -16. Suppose -3 = l - p. What is the second derivative of -l*q - 3*q**3 - q + q wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.71 + -2.8. Suppose t + 153 - 167 = 2*b, -3*b - 4*t - 21 = 0. What is the third smallest value in -1\/2, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2 - 2*p + 2*p**2 + p**2 + 0*p**2 - 7*p. Let k(j) = -j**2 + 5*j + 1. Let z(f) = 2*c(f) + 5*k(f). Calculate z(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-245)\/(-135))\/((-30)\/(-36))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*z**3 - 6*b - 2*z**3 + 171*z**2 with respect to b.\nAnswer: z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxxxnxxxxnfxnxxnnxn. What is prob of picking 1 x and 1 n?\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a\/((a*a**(-1\/4)*a)\/a))))**18\/(a**(-7)*a**2) assuming a is positive.\nAnswer: a**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1396, 24 in increasing order.\nAnswer: 4, 24, 1396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -92 + 13 - 180*f + 23 + 27 + 27 in the form i*f + m and give i.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 0*r**2 - 1\/12*r**4 + 0 + 0*r**3 + 12*r. Let d(s) = s + 2*s + s. Determine d(y(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*b - 29 + 72 = 0, 0 = -d - 5*b - 15. Let f be (4\/d)\/((-2)\/(-10)). Let l be 75\/7 + f\/(-7). What is the highest common divisor of l and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 21 (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-9 - (9 + (11 + -16 - -2)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18556, 88471, 204996, 368131?\nAnswer: 577876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 4*x + x**2 - 1148*x**3 + 0*x**2 + 8. Let c be u(-6). Suppose -3*v - v = 2*r + c, -2*r = 2*v + 124006. What is v rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-5))\/(227\/(-1135)))\/(45\/(-24)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*a**3 - 121*a**3 + 238*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 581 and 14?\nAnswer: 8134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55.7 + -56. Let f = -8 + 7.8. What is the fourth biggest value in a, -7, f, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - d**2)*(-3 + 5 - 4) + d - d + d**2 + 3*d**2 - 3*d**2 + d**2)*(6*d - 6*d - 11*d**2 - 2*d).\nAnswer: -44*d**4 - 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1 (c) 2806524\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104, 421, 950, 1691, 2644, 3809?\n\"Answer: 106*a**2 - a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q**4 + 19075*q**3 + 12125340*q**2 + 2566527120*q - 1286297280.\nAnswer: 5*(q + 636)**3*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2500142 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762564 = -2*g - 2*c, 3*g - 6*g + 9*c + 1143858 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 - -81. Let o = n - -114. Solve -o*d = -2 - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2921170?\nAnswer: 2, 5, 7, 29, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 12. Let m be f(6). Let y(p) = p - 2 + m*p**3 - 2*p**2 + p**2 + 1 - 3*p**3. Let n be y(1). Solve n*a = 3*a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 688 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/34)\/(4\/(24\/9))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 991 - 564. Suppose 0 = -17*k + x - 393. Solve -2*b - 4 = 2*r, k*r - r - b = -6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167 + -171. Let g(b) = -33*b - 19. What is the units digit of g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*n = -256*n + 5 - 143. Let q(d) = 14*d + 43. What is q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.1 + -9.92. Let z = c + -1.18. Sort 0.1, -0.1, z in ascending order.\nAnswer: -0.1, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39129692, -39129696, -39129700?\n\"Answer: -4*q - 39129688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 15*s + 21*s**2 + 21*s**2 - 5 - 42*s**2 in the form m*s + o*s**2 + v and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*h = -9, 7 = -4*l + 5*h - 16. Is l at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 3*w**2 - 2*w - 2. Let y be t(-3). Suppose y*x = -165 + 481. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 389*y**2 - 24864*y + 2710620.\nAnswer: -(y - 55)*(y + 222)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-17)*y*y\/y**(-5)*y**(-21\/4)*y**(11\/5))**(-2\/89) assuming y is positive.\nAnswer: y**(261\/890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 120\/48)*14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 666*f + 191. Is v(30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 42600.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a - 151. Determine o(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*x - 3. What is the third derivative of -4*t**2 + 2*t**4 - t**4 - 2*t**4 + x*t**2 wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12555 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.534835 years?\nAnswer: 0.09534835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2368299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (15 + (8 - 9) + -19).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4 + 780*g**3 + 17415*g**2 = 0. What is g?\nAnswer: -129, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1348184 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 -1236578*y**3 - 100652*y**2 wrt y.\nAnswer: -7419468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 + 17*l**2 - 66*l + 624. What is the units digit of h(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Let h = 4 + 4. Let l = h + -13. Which is the closest to 1? (a) -5\/3 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 27 = -18. Let s(c) = -c**2 + 10*c - 3. Let f be s(h). What is the derivative of 14 - 6 + f*j - 8*j + 5 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c + 6. Suppose 7*f = 3*f - 8. Let h be (-5)\/15*24\/f. What is k(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50317.\nAnswer: 67, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -345820008 divided by -6?\nAnswer: 57636668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2. Let w(m) = -14*m**2 - 6. Let a(h) = -13*h**2 - 5. Let z(i) = 6*a(i) - 5*w(i). Calculate z(x(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 13*t**2 + 88*t + 22. What is the units digit of q(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111211 * 35.\nAnswer: 3892385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-one quarters of a millimeter?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (19 + -20 - 5) + 14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3 + 1 - 7 + 4 - 1 - 2 + 5 + 1 + 2 - 1 - 1 + 4 - 2 + (-1 + 2 - 3)*(-3 - 1 + 2) - 2 - 2 + 2 + 2 + 1 - 4 + 0 + 3 + 0)*(-10*z + 18*z - 4*z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 3, d - 9 = -d + 3*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25491, 101920, 229287, 407592, 636835, 917016?\n\"Answer: 25469*r**2 + 22*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-4 + -2 - (-11 + 73) - (37 + -41))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10966841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o. Suppose a = -2*f + 221, 2*f + 373 = 3*a - 282. Let r(b) = -8*b**2 + 219 - a. Calculate r(l(m)).\nAnswer: -512*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = -4*q + 17, -u - 2*q + 6 = 0. Suppose -3*l + 3*i + 47745 + 7044 = 0, 3*l = -u*i + 54809. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**5\/60 - c**4\/12 - 17*c**3\/6 - 6*c**2. Is r(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -3375\/2*h**2 + 0 - 1\/20*h**5 - 76*h - 15\/4*h**4 - 225\/2*h**3. Determine y so that l(y) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/1798694225 - 11153503234167457\/643932532550. Let j = 17321 + g. Find the common denominator of j and -57\/22.\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.2, 1\/2, 883, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/72 (b) 13 (c) -177 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 19*h + 2*h**3 - h**3 + 12*h to x*h**3 + v + a*h + p*h**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 761253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w + 1. Let r(k) = -k**3 - 9*k**2 + 1. Let u be r(-9). Let z be u - 3 - (8 + -12). Let v(g) = 5*g. Calculate z*y(j) - 3*v(j).\nAnswer: -5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.990089ng in grams?\nAnswer: 0.000000004990089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/5676?\nAnswer: 5\/5676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/63521170 and -99\/187240.\nAnswer: 254084680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from audddvvviidvvviv. Give prob of sequence dd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -200003031231?\nAnswer: -200003031230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 325450012?\nAnswer: -325450009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 711663 and 4681?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (165\/22)\/(3\/6) and (-23)\/((-621)\/(-36)) + (-109)\/(-3).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/90*-3*66?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2893095?\nAnswer: 5786190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.094486 - 2.\nAnswer: -11.094486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 5)\/(4 - (0 - -3)). Put -2, -8, b in increasing order.\nAnswer: -8, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20771287.\nAnswer: 20771287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 + -170. Let u = q + 55. What is the greatest common divisor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a - 5. Let h = 4 + -9. Is j(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*g + 53. Let a(y) = y**2 + 2*y + 15. Calculate the remainder when a(g) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 59*m + 354. Let p be d(-6). Put 5, p, -22 in increasing order.\nAnswer: -22, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/63 - 2\/9. Let c be (-504)\/198 - -2 - 858\/(-242). Find g such that 24\/7*g**c + 40\/7*g - 48\/7*g**2 - r*g**4 - 12\/7 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*(k*k**14)\/k)**(-4\/9) assuming k is positive.\nAnswer: k**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 + x**2 - x + 0 + 2 - x**3. Let p be o(0). Find the third derivative of 0*r**p + r**5 - 2*r**2 - 3*r**5 wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 2*w**3\/3 - 3*w**2\/2 - 29*w. What is the tens digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 64, -9, 5 in decreasing order.\nAnswer: 64, 5, 4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 197 (base 11) to base 9\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/8)\/h**6*h**(1\/13)\/h**(4\/5))**(-2\/95))**32 assuming h is positive.\nAnswer: h**(29528\/6175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 11:24 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100894536 and 2034.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**2*a*a)*a))\/a*(a\/(a\/a**1))\/a*a)**(-19\/3) assuming a is positive.\nAnswer: a**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(324*s - 324*s + 634*s) + 3*s + 0*s - 4*s.\nAnswer: 1267*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 2\/5, -36, -0.1 in increasing order.\nAnswer: -58, -36, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**7\/2100 - s**6\/600 - s**5\/600 + 2*s**2 - 125. Factor w(c).\nAnswer: -c**2*(c + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 8:48 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 2*t + 2. Let m(l) = l - 1. Let z(j) = j**3 + 13*j**2 + j + 12. Let b be z(-13). Give b*f(y) - 2*m(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9139 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a day in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 35 + 98 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 - 6*d - 6. Let m(g) = -11*g**2 + 18*g + 18. Let p(w) = 3*m(w) + 8*s(w). Determine p(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + a)*(4380*a + 728225 - 728225).\nAnswer: 4380*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3) + 3 + -3. Suppose -i - u = i. Let k be -4 + 4 + i\/(-6). What is the closest to 1 in 0, 3\/2, k?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 3*c**2 - 8*c + 5. Let d be n(5). What is the highest common factor of d and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4701.29124 to the nearest ten.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2994, 5987, 8980, 11973?\n\"Answer: 2993*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6954*v - 187777. What is u(-27)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 186\/(-45)*9*2\/152 and 95\/22.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2221 - -3?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-17024)*160\/30?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.2279 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 361\nAnswer: -10\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 56*c - 6 + 60*c)*(-5 + 3*c**3 + 5) - 7*c**4 + c**4 - c**4.\nAnswer: 5*c**4 - 27*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -16. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxkkkknnkkkxk. Give prob of picking 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 46*w**2 + 23*w - 1067. What is k(46)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4.9, 1034, -1, 5, 0.04 in increasing order.\nAnswer: -1, 0.04, 0.4, 4.9, 5, 1034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3062082\/47 or -65152?\nAnswer: -65152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 2. Let i(q) = 2*q + 2. Let o be i(0). Let y(j) = 2*j + 3. Let f(c) = o*y(c) - 3*g(c). Let t(k) = 120*k - 1. Determine f(t(d)).\nAnswer: -240*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 446793168 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.029 - 13.871. Which is the fourth smallest value? (a) 3 (b) r (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -122\/9, -565, 5?\nAnswer: -122\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(171) - 5*sqrt(171)) + -5*((-1 + sqrt(19))*4)**2.\nAnswer: -1601 + 148*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(2\/47))**(31\/3) assuming g is positive.\nAnswer: g**(-62\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) -1\/2 (b) 13\/115 (c) -136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a + 318. Let t be q(0). Suppose -10*z = -8*z - t. Let s be z\/5 + 2\/10. Calculate the highest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12580)\/(-7400)*(-2)\/34.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/495 + -11083\/6930. Calculate the common denominator of 31\/2073 and q.\nAnswer: 29022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 1, 1462216.\nAnswer: -6\/5, 1, 1462216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 62 = -2336. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s - 3*s + (2*s - 2*s + s)*(2 - 4 + 0) + 9*s - 8*s - 6*s)*(-2 + 3 - 4).\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/9352 and -109\/14696.\nAnswer: 102872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 - 238*q + 2153. Calculate a(43).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + 0*p)*(-1 + 0 + 0) + 2*p + 3*p - 3*p - 5*p + 0*p + 3*p + 22*p + 2*p - 8*p.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55821 and 1242.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/154)\/(4\/(-16))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) - (-4)\/10. Let g(u) be the third derivative of -u**9\/60480 - u**6\/120 - u**5\/30 + 3*u**2. Let y(h) be the third derivative of g(h). Give y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h*h**4)\/h)\/h)\/h**(5\/7))\/((h**21*h)\/((h\/(h*h**2))\/h*h)))**(-46) assuming h is positive.\nAnswer: h**(6670\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 12 + 10 - 2*x)*(-2*x**4 + 17*x**4 - 4*x**4).\nAnswer: -22*x**5 - 77*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4054 in 0, -3, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12403 and 3081?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 477 - 259 + 5583*c - 218 to z*c + m and give z.\nAnswer: 5583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 - 3*r**2 + 0*r**2 + 0*r**2 + 2*r**2 + 0*r**2 + r**2 + 0*r**2 - 2*r**2 + (3*r**2 - 4*r**2 - 5*r**2)*(0 - 3 + 4) to c + t*r**2 + v*r and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a microgram in nanograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 46.\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/679 and 46\/87591.\nAnswer: 87591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**4 - 360*u**3 + 5684*u**2 - 14472*u + 9152 = 0?\nAnswer: -104, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2393161*l**2*x + 109106*l**2 - 12*l - 2*x**2 - 1 wrt x?\nAnswer: -2393161*l**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66624 divided by -30?\nAnswer: -11104\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 1.56, -1\/4, -1, 1.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millennium in years?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(sqrt(2736)*1)**2*5 + 3.\nAnswer: 54719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124.8 - 7.2. Let l = -132.0000061 - p. What is l rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1611269, 3222540, 4833811, 6445082?\nAnswer: 8056353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1247, 1.65 in decreasing order.\nAnswer: 1247, 1.65, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -30. Let g be (-1 - 4\/(-3))*y. Let x(n) = 27*n + 299. Let j be x(-11). Solve j*t - 3*t + 5 = g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159 * -246111\nAnswer: 39131649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1069 - -a705b?\nAnswer: a80c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 10501?\nAnswer: -10512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 119 = 5*x - 66, -4*w = 4*x + 40 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -2\/17, 1, -4, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (4 + 6 - (5 + 3))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(44))\/sqrt(6).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 3) to base 7\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjjyyjjjjjyjjyy. What is prob of sequence yy?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - 133) + 1 + -2. Let w = -32 - -53. What is the common denominator of -107\/6 and (147\/v)\/w*(-204)\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/15 + -4 - 22\/3. Let u be ((-8)\/12)\/(-5*t\/300). Which is the nearest to 1\/3? (a) -2\/17 (b) u (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821123725 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + 38 - 27)*((d + 0 + 0)*(3 - 1 - 3) + 4*d - 5 + 5) to the form w*d + g and give w.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 372118.4 nanograms in kilograms?\nAnswer: 0.0000003721184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from {x: 2, s: 3, v: 3, l: 1, b: 10}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*u = 2*v + 18, -3*v + 18 = -2*u. Is (6\/(-4))\/(v*1\/(-7948)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765616.\nAnswer: 2, 109, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*k**2*r - 4*k**2 - 2*k*r + 3610*k - 937051*r wrt k.\nAnswer: 74*k*r - 8*k - 2*r + 3610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**5\/4 - 187545*j**4\/4 - 719831526*j**3 + 406252558938*j**2 - 1616370757020*j + 1613490680700 = 0.\nAnswer: -31530, 2, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 43*r**2 - 133*r + 2080. Determine j(41).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1525*l**3*r**3 + 260*l**2*r**3 - l**2 + l*r**3 wrt l.\nAnswer: 9150*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 42*b**2 + 52*b - 267. Let k be z(6). Which is smaller: k or 1558?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 42 - 53. Let o = 1 - a. Let h = o - -26. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-20) - -3*(-17)\/36?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 - 222 = -80*o - 534 - 160 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (31 - (4 - -46)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose 4*u + 28 = b*i, 5*i - i + 5*u = 95. Suppose -4*k - i = 0, -4*f + 60 + 11 = k. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7508*f. Let s(j) = -10*j. Give r(s(u)).\nAnswer: -75080*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + a**2 - 2*a**2)*(34*a**2 - 29*a**2 + 28*a**2).\nAnswer: 132*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2306 + -1.2306. Sort -6\/5, b, 3, -8.\nAnswer: -8, -6\/5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571786 less than 571763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**3 - 115*t**2 - 238*t + 2. Give r(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 - 170.7. Let a = x - -387.7. Let k = a + -174. What is k rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 - 7\/6. Let i = 54 - 55.5. Let c = 1.7 + i. Sort 3, c, a in ascending order.\nAnswer: a, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 495757?\nAnswer: 495757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.5249722 milliseconds?\nAnswer: 524.9722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496.4766 meters in nanometers?\nAnswer: 496476600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x*x*x*x**(-1)*x*x))\/x))\/(x\/x**(1\/12)) assuming x is positive.\nAnswer: x**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/l**(1\/6))\/l)\/l)\/l*l)**(-44)\/((l*l**(-21)\/l)\/l*l*l**(4\/5)*l))**(15\/7) assuming l is positive.\nAnswer: l**(1058\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -2, -3, 0 in increasing order.\nAnswer: -35, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(156)*-1 + sqrt(156) - -4*-2*sqrt(156))*6)\/((sqrt(132)*1*6)\/(sqrt(110)\/sqrt(40))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 33*a**2 + 53*a + 1016. Is z(-13) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*i + 290 = 0, -w + 3*i - 1463 = 4*w. Let l = 293 + w. Suppose 5 = -2*q - 3*q. Is q greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c\/(c**(2\/7)*c*c)*c)\/c*c)\/c**(-2\/11))\/((c\/(c**(-5)*c)*c)\/c**(3\/5)) assuming c is positive.\nAnswer: c**(-964\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -337*h**4 + 0*h**3 + 3*h**3 + 333*h**4 + 3*h**2 + 4 - h**3 as u*h**2 + l*h + a*h**3 + f*h**4 + y and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*q = 50, 0*m - 4*q = 5*m - 50. Find the second derivative of h**2 - 29*h + 10*h**2 + m*h**2 wrt h.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 144\/11, 0.3, 1\/2, 2\/273?\nAnswer: 144\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 175722, 175740, 175724, 175656, 175518, 175292, 174960?\n\"Answer: -3*t**3 + t**2 + 36*t + 175688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-11220)\/14025)\/((-26)\/10)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 9573*-4.\nAnswer: -38292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 984921, 984923, 984925?\nAnswer: 984927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -16. Suppose -2 = -4*o + j. Suppose -o*w - w + 148 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -155590\nAnswer: -1\/31118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmsmmtcj. Give prob of sequence cj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4585193 to the nearest integer?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*q + 4*l + 232, -q - 4*l = -49. What is the remainder when q is divided by -11*(-22)\/20 - (-527)\/(-5270)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -828 - -830. Suppose -2*u + 6*d + 4 = 5*d, -a*u - 3*d + 4 = 0. Solve 5*r + u*c - 13 = -c, 26 = 2*r - 4*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*v - 15*v + 444 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 6 = -7*h. Which is the nearest to -2\/7? (a) h (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + sqrt(396) + 5 - (sqrt(396) + ((sqrt(396)*3 - sqrt(396))*-3 + sqrt(396) - sqrt(396)) + 1))**2*3.\nAnswer: 1296*sqrt(11) + 42876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 254829*t + 6116488. Determine f(-24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 4*j**2)*(-189 + 82*j**2 + 189) - 4*j**4 + j**2 - j**2.\nAnswer: 324*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33301 (base 5) to base 2.\nAnswer: -100100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/15701 - 62810\/47103. Let y = -3527\/15 + 235. What is the nearest to -2\/5 in -0.3, y, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(160)*-4 - (sqrt(243)*2 + sqrt(243) + -2).\nAnswer: -28*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 3. Let t be i(-6). Find the second derivative of -3*b - b**3 + 3*b**t - 5*b**3 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyeq when four letters picked without replacement from {y: 2, e: 2, q: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 633 and 10.\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4974 + -4972. Which is the nearest to k? (a) 3 (b) 36 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + -2.9. Which is the nearest to w? (a) 2 (b) 0.12 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**5\/30 + l**4\/6 - l**2\/2 - 3*l. Let w(s) be the first derivative of c(s). Suppose w(r) = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 284 = -l, -3*l + 25 = m - 29. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -211*k**4 - 49*k**4 + 63*k**4 + (3*k + 1 - 1)*(-k**3 + 0*k**3 + 0*k**3) - 2*k**4 - 2*k**4 + 5*k**4.\nAnswer: -199*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 32, 4477, 0, -3\/7, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) - ((sqrt(85) - (sqrt(85)*1*-1 - sqrt(85))) + sqrt(85))))\/(-2*sqrt(5)*-1).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -114*l. Let f(p) = -4816*p. What is m(f(d))?\nAnswer: 549024*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7169 or -7174?\nAnswer: -7174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-72 - -105) - 70.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 953316 and 882?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**8\/1120 - t**5\/120 + 7*t**4\/12 - 4*t. Let z(u) be the third derivative of y(u). Differentiate z(q) with respect to q.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p + 3 = 37*p + 61*p - 307 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 351084017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (2*sqrt(187) + sqrt(187)) - sqrt(187))\/sqrt(11) + sqrt(17) + (sqrt(68)*-4)\/sqrt(4).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001000111 + 1110000?\nAnswer: -222120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 7.593851.\nAnswer: 7.493851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161982*f**3*q**2*s**3 - 70*f**3*s**2 + 2*f**3 + 3*f**2*q - 3*f**2*s - 10*f*q*s**3 + 36*f*q - 4*q**2*s**3 wrt q?\nAnswer: 323964*f**3*s**3 - 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (811*z + 678 + 702 - 1383)*(-z + 2 - z - 3) as j*z**2 + b*z + d and give j.\nAnswer: -1622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/6 and -83\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4205, 12098, 25253, 43670, 67349?\n\"Answer: 2631*g**2 + 1574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (23 + -15) - (-14)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/481572 and -17\/343?\nAnswer: 481572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 8*f**2 + 0 + 0*f + 5*f**3 - 1\/12*f**4. Let u be l(13). What is the highest common factor of 20 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and 584.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**3 + 2*k**2 - 1. Suppose 5*x + 10 = 5. Let f be a(x). Let v be (f\/(-6))\/(9\/(-27)). Put v, -2, 0.1 in descending order.\nAnswer: v, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**4 - 4 - 4*d**4 + 6*d**2 - 2*d - 4*d**2 + 6*d**3. Let z(x) = 5*x**4 - 5*x**3 - 2*x**2 + 2*x + 3. Let l(p) = -3*j(p) - 4*z(p). Factor l(n).\nAnswer: -2*n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89778*f**5 + 82*f - 15 wrt f.\nAnswer: 1795560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 11:50 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 13 - ((-17 - -2) + 14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -19*(1 - 2 - 1). Calculate the greatest common divisor of p and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/189 - -1186\/189. Which is the nearest to -1? (a) 0.1 (b) 2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288.37*-0.2\nAnswer: -57.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94*v + 12?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 50767025.\nAnswer: 10153405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 5a6?\nAnswer: 5a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1112 and 5004.\nAnswer: 10008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - -1)*(-95)\/15. What is the closest to 0 in s, 1\/2, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174*b**2 - 2*b - 88?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/9))**(-32))**(-5\/13)*i*i**4*i\/i**3*i*i*i\/(i**(-2\/5)\/i)*i**(-5)\/i assuming i is positive.\nAnswer: i**(2419\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-660)\/(-528))\/(((-143)\/(-110) + (-2)\/(-10))\/1)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2 and -117\/2200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 694\/3*m - 1\/6*m**2 - 240818\/3 = 0. What is m?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 471\/2 + -9447\/40. Calculate the common denominator of z and (7 - 344\/48)*66\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5223656 and 5223656 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2 - (-5 - -4)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4959 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1555391535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 346 + -244. Let d = -66 + i. What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**3\/3 + 2. Let f(v) = -v**3 + 25*v**2 - 25*v + 25. Let t be f(24). Let x(g) = 3*g**2. What is t*x(y) + 4*u(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10010 (base 2) to base 3\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqudqu. What is prob of sequence ug?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011001 (base 2) in base 13?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2380561\/551298 - -2\/25059. Let y be (-7)\/(-14109)*((-36)\/21)\/6. Let q = -427981\/56436 - y. Find the common denominator of p and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d - 8*d - 91*d**2.\nAnswer: -91*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/9 + 188*b**2\/3 + 17672*b\/3 + 1661168\/9 = 0.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - ((sqrt(102) - -3*sqrt(102)) + sqrt(102))) + sqrt(102))*-6 - sqrt(102)*3*6)\/(6*sqrt(12)\/(sqrt(2) + (sqrt(56)\/sqrt(4))\/sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 6*y - 3. Suppose 26 = -3*k + 2*m, 2*k + 4*m = -1 + 5. Let g be h(k). Does 4 divide (10\/g)\/((-4)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53641504 and 505?\nAnswer: 268207520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525584031.\nAnswer: 3, 7, 25027811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -29563 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 m, and 1 v when four letters picked without replacement from umvmuullu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135329*u**4 + 24*u + 3.\nAnswer: 1623948*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -368 by 4.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133 (base 11) to base 5.\nAnswer: 21423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819347 is divided by 46.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160692, -322587, -484480, -646371, -808260, -970147?\nAnswer: -1132032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) - (sqrt(10)\/sqrt(2))**2) - (sqrt(5) + 2 + 3) - (2 + (sqrt(5) - (sqrt(80) - sqrt(5))*5 - (sqrt(5) + (-2*sqrt(180))**2))).\nAnswer: 13*sqrt(5) + 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.324841 * -0.5.\nAnswer: 2.1624205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 165885 (base 9) in base 7?\nAnswer: 605444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/3 - 9*y**2 - 351*y + 3645 = 0.\nAnswer: -27, 9, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27134 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/4)\/(12\/48). Suppose 1020 = -n*s + 14*s. What are the prime factors of s?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470)*-2 + sqrt(1470))\/(sqrt(10) + sqrt(120)\/sqrt(300)).\nAnswer: -35*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -113613140 (base 7) in base 11?\nAnswer: -3a82548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n - 7. List the prime factors of k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 3*t - 18, 3618*t = 3617*t + 46*w - 417 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q + 1. Let b(v) = 2. Let p(d) = -5*b(d) - y(d). What is the derivative of p(h) wrt h?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 1211, -2, 5.\nAnswer: -3, -2, 5, 8, 1211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 34 = -14. Suppose 5*s + r = 71. What is the greatest common divisor of 99 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -0.03 (c) -0.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 2*j - 150 + 3\/2*j**2 + 1\/3*j**3. Factor p(v).\nAnswer: (v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187649 and 1309?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3072*z + 36693. Give a(-12).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 2*q + 7. Let i be y(0). Suppose 10*f + 4*d - i = 7*f, -5*d + 4 = -f. Suppose -25 = -6*t + t. Sort t, -1, -5, f in descending order.\nAnswer: t, f, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 7 - 20)*(-3*v + v - 5*v)*(v**2 - v + v) - v**3 - 1 + 1 as n + t*v**2 + p*v + u*v**3 and give u.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 9:47 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - -0.1. Let f = -3147\/1258 + 1\/629. Put f, o, -3, -2\/9 in decreasing order.\nAnswer: o, -2\/9, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(5\/10). Let p be l*(2 + (-4 - -3)). Let w = 0 + 1. Sort -3, p, w in decreasing order.\nAnswer: w, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 less than or equal to 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5474 - 5473. What is the fourth biggest value in -4, g, -25, -1\/3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*1574981.\nAnswer: 2047475.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 10:08 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 135*p - 322. Let d be x(-71). Calculate the highest common factor of d and 945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 934 - 775 = 0. Calculate the remainder when 99 is divided by z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-156)\/24)\/(1\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3581?\nAnswer: 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -3*u - 9, -17*u - 5*w = -20*u - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*k - 15, -2*o + 3*k + 0 + 12 = 0. Suppose -4*t - 4 = 4*l, 0*t - 2*t = -3*l - o. Let v = 5\/7 - 4\/7. Is l greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.1 - -77.9. Let m = -6035592812.00000047 - -6035592911. Let d = m - g. Round d to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -216839*b - 13. Let j(a) = 22*a. Give j(h(p)).\nAnswer: -4770458*p - 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196 - 97. Let s = o - 55. Suppose -21*i = 21*i - 913 + 577. What is the highest common factor of i and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 14*z - q - 1200, 1220 = 5*z + 3*q. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 376, -3, 54 in decreasing order.\nAnswer: 376, 54, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 < 442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(9)\/sqrt(3) + 3.\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 2}. Give prob of picking 1 g and 1 j.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uppupuuupu. What is prob of picking 1 u and 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 28 + 292. Calculate the remainder when j is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 112, 451, 1016, 1807?\n\"Answer: 113*k**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/7)\/((-64)\/(-56))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -295*b**2 + 517395*b + 61390 = 0.\nAnswer: -7\/59, 1754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Let m be (-1)\/4*-2*6. Differentiate -y**m + 0 + b*y**3 - 2 with respect to y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -18\/7*k**2 - 40\/7*k + 4\/21*k**3 - 19. Factor q(y).\nAnswer: 4*(y - 10)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24a0 (base 16) in base 2?\nAnswer: -10010010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/3105798 and -92\/255.\nAnswer: 15528990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Suppose 0 = -y - 8 + 10. What is the greatest common divisor of y and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/4)\/(-2*21\/28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4792.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {j: 11, s: 5, i: 1}.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -62, -517, -972, -1427, -1882?\n\"Answer: -455*z + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6882000 rounded to the nearest one hundred thousand?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(0*h - 2*h**4 - 33*h**3 + 2*h + 30*h**3).\nAnswer: 2*h**4 + 3*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 27*q - 10. Let f(v) be the third derivative of -v**5\/60 + 204*v**2 - 4*v. Calculate w(f(p)).\nAnswer: -27*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3212 (base 7) to base 6.\nAnswer: -5132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12944 + 12955. Solve 394 = -h*j + 339 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-5)\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93879\/20 - 4689. Calculate the common denominator of f and (-29)\/17 + 3\/(-6).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1994 - -1992. Let m = 0.7 - 0.3. Sort m, -0.4, y, 1 in increasing order.\nAnswer: y, -0.4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 5*t**2 - 8*t - 4. Let l(s) = -s**2. Let f(u) = -u**3 + 3*u**2 - 3. Let k be f(2). Let i(x) = k*p(x) + 3*l(x). Let o = -535 + 528. Give i(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*n**2 + 2*n + 567*n**3 - 54*n**2 - 5*n + 2*n to the form u + c*n + a*n**3 + x*n**2 and give a.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 210441 (base 5) to base 8\nAnswer: 15524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*x + 10 = -2*r - 84*x + 10, 5*x = 4*r + 12 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 456 - 1602 = 0. What is the greatest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -70153999 - -4?\nAnswer: -70153995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6947.7 - -5?\nAnswer: -6942.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81294853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x**2 + x + 1. Let g(o) = 5*o**3 + 4*o**2 + 4*o + 5. Give -4*f(m) + g(m).\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1166 and -0.3.\nAnswer: -349.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-14)\/6*3 + 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-66*z + 17*z - 36*z).\nAnswer: 85*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -11, -2, -375, 0 in increasing order.\nAnswer: -375, -11, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 15\/7, -0.08, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 41 = 265. Let l be (0 - v\/9)\/(7\/(-21)). Let h = l - 7. What is the greatest common factor of 4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r - 8. Suppose 5*j = -i + 20, -r*i + 2*j = -0*j + 8. Let h = 0.006 + 0.094. Which is the second smallest value? (a) -5 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + -3*(sqrt(25) + sqrt(100)\/sqrt(4)))\/(sqrt(5) + 2*sqrt(180)).\nAnswer: -5*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7758 - 5897.2. Round n to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2422*m**3 - 6*m - 7881 with respect to m.\nAnswer: -7266*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3930?\nAnswer: -3930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66418810 to the nearest integer?\nAnswer: 8150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16 = -0. Suppose -28 - 28 = -x*b. Put -5, b, -1 in ascending order.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1204 and 147653056.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -735*x + 702*x = -165. Let j = 2.16 + 0.74. Let h = -3 + j. Which is the closest to h? (a) -2\/5 (b) 1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiku when four letters picked without replacement from kkkvkikkkiukkkkklvv.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 1 + 8 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-2*-3 - (sqrt(85) - (-1*sqrt(85) - sqrt(85)))*-3)\/(-3*6*-1*sqrt(5)*-5))**2*-3.\nAnswer: -17\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.9, -3, 0, 1.598, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31037815 - -6?\nAnswer: -31037808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*k + 2*s, -4*s - 7 = -5*k. Let d(z) = -2*z + 1. Let q be d(2). Put k, q, 1 in decreasing order.\nAnswer: 1, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 - 389744*z + 9493774096 = 0. Calculate z.\nAnswer: 48718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.24 + 0.02. Let g = o + -1.13. What is g rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - ((-29 + 31 - (-5 + 2)) + -4) - 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6462)\/3590*(-210)\/(-18).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 40*j - 25. Let b(g) = -5*g + 3. Let w(c) = c**2 + 15*c + 25. Let x be w(-15). Determine x*b(k) + 3*t(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2376 = -3*y + 2357, 12*x - 4*y - 44 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/3, 1.4, -84\/73, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 4*y - 3*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3 + 460898*b**2 - 2*b + 2651448 wrt b.\nAnswer: 6*b**2 + 921796*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 5)*(-804 + 451*o + 516 - 635 - 449*o).\nAnswer: -16*o + 7384","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 14, 556, -4, -3, 0, 4 in decreasing order.\nAnswer: 556, 14, 4, 0, -3, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 976491 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 213462?\nAnswer: 213457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 3:19 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 29 = -6*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y - 693 = -455 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/4 - 207*m - 825\/4.\nAnswer: -3*(m + 1)*(m + 275)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 3*m + 1. Let i be v(-9). Let f = i - 17. Let g = -17 + f. Solve p - g = -5*a + 7, 0 = 5*a - 4*p - 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/5*(888\/84 + -12). Solve 2*m - 213*h + 215*h + 10 = 0, s*m + 8 = 2*h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.06, 0.2, 4.\nAnswer: 0.06, 0.2, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 80. Let n = 83.9 + -83.8. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -235b3 - -2?\nAnswer: -235b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/28094 and 149\/3899958.\nAnswer: 42899538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 965, 7632, 25743, 61022, 119193?\n\"Answer: 954*w**3 - 2*w**2 - 5*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10764764501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 13*r - 7 = 8*r, 4*r = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 9*f - 9, -61*f = -63*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c - 2365 = -1405 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2827*t**2 + 3067*t**2 - 1023*t**2 - 191*t**2.\nAnswer: 4680*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 5\/3, 15.75?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -19*q**3 + 4*q - 5. Let d(n) = 19*n**3 - 5*n + 6. Let i(x) = -6*b(x) - 5*d(x). Let w be i(1). Solve -w = -z - 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*n - 89*a*n**3 - 7142*a*q - 5*n**3 - 78*q - 332 with respect to a.\nAnswer: 4*a*n - 89*n**3 - 7142*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, o: 2}. What is prob of picking 1 b and 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.9 (b) 0.5 (c) -0.5 (d) -10 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 225364163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -10, -1\/7, 4, -6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540 - 1386 = -81*b + 1836 + 612 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 177054?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, u: 11, h: 1}. Give prob of picking 2 u and 1 x.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 24401 + 24401.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1700, 3410, 5122, 6836, 8552, 10270?\nAnswer: 11990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-854*y - 656*y + 1318*y)*(-y**3 - y**3 + 0*y**3) + y**4 + y**4 + 0*y**4 - 5*y**4 + 3*y**4 + y**4.\nAnswer: 385*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1303, -4890 in ascending order.\nAnswer: -4890, 3, 1303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -661080 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p + 7. Let a(j) = -3 - 1 + 1 - 2*j. Let z(r) = 135*r - 3517. Let q be z(26). What is q*a(y) - 3*m(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2347967 is divided by 374?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h)**(-22\/7))**37\/((h**2\/h)\/h**(-5))**(-2\/35) assuming h is positive.\nAnswer: h**(4082\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - b + s = 0, 2*b + 3*s = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1889 - -1887. What is the fourth smallest value in 0.09, z, 7, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11763040 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460206 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*c + 2862 = 684 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3\/3 - 46*i**2\/3 - 205*i\/3 = 0?\nAnswer: -41, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 4. Let j be (-1)\/((g\/(-93))\/(-3)). Let x = -19 + j. What is the remainder when 21 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.5? (a) 2 (b) 0.05 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(17))*6 - ((sqrt(17) + -1)**2 + -1 - sqrt(17))).\nAnswer: -45*sqrt(17) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186405713?\nAnswer: 13, 19, 47, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/146332 and -43\/268.\nAnswer: 9804244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -3*-92*(-4)\/168. Suppose 0 = 5*i + 3*w + 48, -79*i + 82*i = -3*w - 30. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/6 - 5374*n\/3 - 442349\/6 = 0. What is n?\nAnswer: -41, 10789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, -2807.\nAnswer: -2807, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let r(s) = -18*s**2 + 3*s. Suppose -3*i = -3*b + 21, 4*b = i + 25 - 6. Let j(o) = -17*o**2 + 4*o. Let d(v) = i*j(v) + 4*r(v). Calculate h(d(g)).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-324)\/48924)\/(1\/2)\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 44 = 29*d. Calculate the remainder when 63 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2216 * -37006\nAnswer: -82005296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13442 equal to 107547\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 8*l**2 - 9*l - 10. Let d be n(-9). Let s(k) = 18*k. Let p be s(1). Let f = d + p. Solve -f = -i - i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 30, 5, -0.3, -0.19, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -168, -379, -678, -1065, -1540, -2103?\n\"Answer: -44*z**2 + 9*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 964, 2230, 4046, 6436?\nAnswer: 9424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let i be o(5). Let r = 0.04 - 27.14. Let y = r + 27. Which is the closest to y? (a) i (b) 2\/11 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/5 + 112*h**3\/5 - 1498*h**2\/5 - 1612*h\/5 = 0 for h.\nAnswer: -1, 0, 26, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288773.\nAnswer: 288773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y + 9. Calculate the remainder when 268 is divided by p(9).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*((0 + sqrt(171))*6*-3*2)**2.\nAnswer: -886464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7284, -7261, -7240, -7221, -7204, -7189?\n\"Answer: -u**2 + 26*u - 7309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 230*w**3 + 9*w**2 + w + 19. Let o(d) = -230*d**3 - 12*d**2 - 19. Let q(x) = -4*j(x) - 3*o(x). Find the second derivative of q(c) wrt c.\nAnswer: -1380*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241756115 minus -8445?\nAnswer: 241764560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 1283*o + 9. Let b(p) = 2*p**2 - 641*p - 5. Give -7*b(n) - 4*m(n).\nAnswer: -2*n**2 - 645*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2596034 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13009.6575 rounded to the nearest ten?\nAnswer: -13010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = 3. Find m such that -6 - 4*m**n - 4*m + 8*m**2 + 6 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1470 + -880. Let d = t + -585. Let p = 0.2 + 0.2. Which is the second smallest value? (a) d (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -320*v - 1202. Calculate the smallest common multiple of 312 and o(-4).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2 - 18728*y - 669024 = 0.\nAnswer: -4646, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2 - 1. What is the third derivative of 5*m**2 - v + 2 + 3*m**3 - 1 wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 equal to 550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5843 - -14.4157. Which is the nearest to 15? (a) l (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91211 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 45. Let l = u - -3. Suppose -5*m - l*h = 3 + 7, -2 = m + 5*h. Sort 1, m, 9 in decreasing order.\nAnswer: 9, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - 3) + 10 + -4 - 6) + -23?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + -21 + (-13 - -6) + 16 + -18?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -434856.6\nAnswer: -739256.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662639450.\nAnswer: 2, 5, 11, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 408 + -1631\/4. What is the smallest value in -4, 1, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 2 - (-3 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -108107*r**2. Let u(x) = -2*x. Give j(u(m)).\nAnswer: -432428*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*x - 3. Let t(f) = 2*f**2 + 0*f**2 + x*f**2 - 5*f - 3*f**2 - 1. What is t(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625 + n - n**2 - 393 + 494.\nAnswer: -n**2 + n - 524","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2*(-20)\/(-5))\/((-84)\/2)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -41. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (-33402)\/(-10864) - (-8)\/7 and 79\/4?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1046*z**4 + 6*z**3 - 3535*z**2 - 16 wrt z?\nAnswer: -25104*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 + 104. Let b be 1\/(-3 + 2 + 0). Suppose -4*t + 12 = -0*t. Put i, t, b in descending order.\nAnswer: t, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1954062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/22 - 92208\/(-187)*(-2)\/(-3). What is the greatest common divisor of g and 1175?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/8)\/(2737\/43792).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 364 and 246688.\nAnswer: 1726816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 5. Let c(k) = 3*k - 2. Let o(b) = -7*c(b) + 3*p(b). Let a(s) = -s**2 - 15*s - 6. What is 2*a(y) - 11*o(y)?\nAnswer: -2*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n**2 - 34*n - 4. Let g be l(3). Suppose -5*q = o - 2165646 - 3434354, 0 = q + g*o - 1120000. What is q rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(1\/4)*n\/(n\/n**(-7))*(n*(n*n\/(n\/n**(-5)))\/n)\/(n\/(n\/n**(3\/8))) assuming n is positive.\nAnswer: n**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*(-1 + -1*sqrt(833)) + 3*sqrt(833)*-1 + sqrt(833) + 2))**2.\nAnswer: -42*sqrt(17) + 7498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 + 4 + 1*6)\/(16\/32). Let l = 11 + -5. Solve 2*g - v = -l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 2 - 3 - 106 - 27 in the form f*x + h and give h.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24393 or -24394?\nAnswer: -24393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + 0*j)*(-5 - 2 + 5)*(2 - 5 + 2)*(-2*j + j + 3*j).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813 = 139*w - 2106. Sort 10, -4, 8, w in ascending order.\nAnswer: -4, 8, 10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 430\/(-60) - 1\/(-6). Let d = 12 + k. Find the third derivative of d*j**6 - 16*j + 2*j**2 + 16*j wrt j.\nAnswer: 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2209 + 3551. Is j a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttbt when four letters picked without replacement from {b: 11, t: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - p. Suppose 3 = -4*v - 0*v + 5*l, 12 = 5*v - l. Let b(d) = 16*d**2 - 3*d. Give v*r(j) - b(j).\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1.15?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfvv when four letters picked without replacement from ppfkmvvvkmfpfmvf?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*a - 72*a - 290 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/9*1 + 2. Suppose 0*q = 5*q - 5. Which is the closest to s? (a) q (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4088, 3, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1078439 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 500\/(3 - -2) + -4. Let z be (7\/(-4))\/((-100)\/i - -1). What is the greatest common divisor of 24 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpeepv. What is prob of picking 1 q and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 14*t**2 + 14*t - 6. Suppose q + 6*p - 18 = p, -5*p + 20 = 0. Calculate the least common multiple of (q + 4)*(-2)\/(-1) and h(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = 3*s, 3*s + 2*s - 2*i = -10. Let q(h) = 5*h**2 - h - 9. Let r(j) = 11*j**2 - 2*j - 18. Let m(c) = -13*q(c) + 6*r(c). What is m(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 270 + 25*f**2 - 270 + 20*f**2. Let b(w) be the second derivative of w**4\/12 + 5*w. Give x(b(q)).\nAnswer: 45*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2408105.7 to the nearest one thousand.\nAnswer: 2408000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**7\/84 - t**6\/90 + 11*t**3\/6 - 19*t. Let k(x) be the second derivative of g(x). Find the third derivative of k(b) wrt b.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -5*m. Let c be 2\/m - 129\/(-2). Suppose p - 16 = -p. Calculate the highest common factor of p and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15628 = 337*l + 234 - 2130 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 75 + (1 - (4 - 2)). Suppose -w = -4*a - 14. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*f**3 - 28*f**2 + 740*f - 2 wrt f?\nAnswer: 66*f - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from nehhvghvgngnyyy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12*w**2 + 2*w**3 + 10*w - w**3 + 13 - 14. Let h be d(-11). Suppose 5*q - h = -0*q. Solve -g = q*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203447.\nAnswer: 389, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5*q**2 - 12*n**3*q**2 + 4*n**3*q - 9*n**2*q**2 + 4*n**2 - 2*q**2 wrt n?\nAnswer: -60*n**2*q**2 - 72*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12355504501 + 1?\nAnswer: 12355504502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/((-273)\/(-52))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2316084 divided by 12?\nAnswer: -193007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.25 take away -0.1535222970898?\nAnswer: 1.4035222970898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 10*t - 72. Let j be b(-4). Solve 0*u + 4*u + 2*l - j = 0, -13 = -u + 4*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 8. Let i(a) = -a**2 - 22*a - 17. Let x be i(-21). Suppose -x*n + 3 + 33 = 0. Calculate v(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 0.038, 0.2, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-1)\/1*10. Suppose l*b - 164 = 100. Factor -14*n**2 - b*n + 29*n + 0*n**3 + 4 + 3*n**3.\nAnswer: (n - 4)*(n - 1)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/11 - 150*l**3\/11 + 3130*l**2\/11 - 10410*l\/11 - 63612\/11 = 0.\nAnswer: -3, 9, 31, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 0.1, -1\/6, 0.2061.\nAnswer: -1\/6, 0, 0.1, 0.2061, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108 - 35. What is the smallest value in 0.1, k, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/(-630))\/((-6)\/(-10)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 32 + 22. Suppose 0 = -w*d + 5 + 3. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -188*w**2 + 4522*w - 272. Calculate s(24).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -64*57\/304 + 112?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6508 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2*r = 22, 2*i - r + 149 = 158 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 6. Let r be 126\/24 + 9\/12. Let o be r\/14 - 100\/(-28). Solve o*g - w = x, -x + 0*x = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2456*h. Let d(x) = -768*x**2. Give d(i(l)).\nAnswer: -4632526848*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let v = 1.7 - 1.56. Let w = -4.14 + v. Which is the smallest value? (a) w (b) k (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34 + 1120\nAnswer: 1119.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -536 and 182?\nAnswer: -97552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0. Let k = -4\/43 - 58\/301. Let m = -0.1 - 0.4. Which is the nearest to l? (a) k (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -695 + 1010. List the prime factors of i.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - -20. Let n = 6 - 3. Suppose a = n*a - 18. What is the remainder when v is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(243))**2 - ((sqrt(36)\/(sqrt(24)\/sqrt(2)) + sqrt(3))**2 - sqrt(12)*6))*1*-4.\nAnswer: -1068 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 1707, 5520, 12949, 25200, 43479?\nAnswer: 68992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -5.4, 3, -7\/3 in descending order.\nAnswer: 3, 0, -7\/3, -4, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 419*x**2. Let p(g) be the second derivative of -g**3\/6 - 2922*g. Calculate p(v(b)).\nAnswer: -419*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2)*x**(3\/4)*(x\/(x**(-1\/3)\/x*x)*x)\/(x*x*(x**4\/x)\/x))\/((x*x*x*x**(-1)\/x*x)\/x*x\/(x\/(x**(-1)*x)))**(2\/21) assuming x is positive.\nAnswer: x**(167\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.15 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 927457 + 927467 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -838.9999618 + 839. Round s to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -13*c**2 + c - 3. Let o(x) = -3*x**2 - 1. Let u(t) = -2*f(t) + 9*o(t). Give u(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 17, g: 3}. What is prob of sequence gdgd?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (7 - (-83)\/(-5)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)**(2\/13)*(y*(y\/(y\/((y*y**0\/y*y)\/y)))\/y)\/(y\/y**4))\/(y**(-1\/5)*y**(-2))**(-25) assuming y is positive.\nAnswer: y**(-672\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 5*h + 2. Let g be r(2). Suppose 2*t + 88 = -5*a + 488, a + g*t = 80. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 5)\/(15\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67356 and 216?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922062402.\nAnswer: 2, 3, 51225689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0212 from -0.4173614.\nAnswer: -0.3961614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*s - 10. Suppose s*y + 3*y = 15. Differentiate y - 2 - 2*n + 4 with respect to n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0*j + 2 - 1 - 4 + j. Let h be l(6). Does 3 divide h - 0 - (0 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = -p - 2*p, -4*u + 4 = p. Let j be 0\/(p + (-6 - -7)). What is the smallest value in 0.51, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) 1\/5 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 - 11ac38?\nAnswer: -11ac12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1411 * 0.705.\nAnswer: -994.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q*w**4 + 94*q*w**3 - 23287*q*w**2 - 4*w**4 wrt w?\nAnswer: 48*q*w + 564*q - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89279904, -5, -4 in descending order.\nAnswer: 89279904, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249 - -433. Let a = -4 + 6. Suppose -a*u + w = -248. Calculate the greatest common divisor of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 1. Let n = -36 + 31. What is the second biggest value in n, 2\/13, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 16*l**2 - 2*l - 1. Let y be b(-1). Let c = 26 - y. Suppose 0 = -8*f + 10*f - 3*h + 9, 5*f = 5*h - 15. Solve f*p + c = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-24) - 35\/(-4). Suppose 3*b + o = 0, 3*u = 2*b - 6*b - 87. Let c = 35 + u. Calculate the smallest common multiple of c and 13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-690)\/4485*13\/2*-29.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/559791 and -41\/36?\nAnswer: 2239164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*b + 16 = 0, -12*b = -16*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqszqzss. What is prob of picking 3 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -5*h**3\/3 + 7*h**2\/2 + 5*h. List the prime factors of a(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 2255651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -26\/165769?\nAnswer: -26\/165769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*x**2 + 12 + 7*x - 1\/2*x**3.\nAnswer: -(x - 4)*(x + 2)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9269.221ml to litres.\nAnswer: 9.269221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - -6) + -3 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*3)*-4)\/(2*sqrt(216)) + (2*sqrt(170)*-6)\/sqrt(10) + 4 + -2.\nAnswer: -34*sqrt(17)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 219105*c - 219104.\nAnswer: -(c + 1)*(c + 219104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76 - -73 - (0\/(-2) + -2) - 31) + 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529361677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 982 divided by 12710.\nAnswer: 491\/6355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 - 501724*l**2\/5 + 6020904*l\/5 - 18062928\/5.\nAnswer: -2*(l - 6)**2*(l + 250874)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36592, 146894, 330728, 588094, 918992?\n\"Answer: 36766*o**2 + 4*o - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**2 + 91*t + 79. Calculate g(-14).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**7\/630 + q**6\/360 + 71*q**4\/24 + 33*q**2 - 2*q. Let d(x) be the second derivative of l(x). Determine d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 4*j**5\/5 - 11*j**4\/4 + 515*j**2\/2 - 1633. What is the second derivative of z(u) wrt u?\nAnswer: 48*u**2 - 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**7\/7 + 42*r**5\/5 + 11*r**3\/3 - r**2\/2 - 59. What is the third derivative of n(j) wrt j?\nAnswer: 120*j**3 + 1008*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 50*b - 43*b. Suppose -32 = b*z - 25*z. Sort z, -1\/3, -8\/3, 5.\nAnswer: -8\/3, -1\/3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from gxxrxgcggmxxx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*b - 2*o, 5*b - 5*o = -o + 21. Is -7\/46 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**3 - 15454*s**2 - 9*s*y - 40666*y wrt s.\nAnswer: -3*s**2 - 30908*s - 9*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -6*p + 758 - 778 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*y + 86*y - 3*j + 3, j - 1 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46637 and 2470509?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -3.25643\nAnswer: 3.907716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2 + 289*c*m + 5856*m with respect to c.\nAnswer: 6*c + 289*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and -198382775.\nAnswer: -198382775.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2820 and 5170.\nAnswer: 31020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -664 + 1295. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**3\/15 - 32*j**2\/5 + 63*j\/5 - 941. Factor f(i).\nAnswer: (i - 63)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.2, -0.1, -0.66?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 10731?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1113 and 150626?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 114852493, 114852494, 114852495, 114852496?\n\"Answer: x + 114852492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.26436695 rounded to 3 dps?\nAnswer: -4.264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 20 + 6 = 3*h, 3*w + 2 = h. Let l = 11 - h. Suppose r = c + l*r + 1, -r + 7 = 3*c. Solve c*a + 2 = -7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -447 + 4893\/11. Let m = 0 + -1. Is m not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/5 + 62*m**2\/5 + 64*m\/5 = 0 for m.\nAnswer: -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -151049 + -2?\nAnswer: -151050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 5*p + 470. Is 7 a factor of r(46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = p + 585, 0 = -p - 3*v + 5*v - 589. Which is the fourth smallest value? (a) -1 (b) p (c) -0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 51\/2 + 4\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 641421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 1, 10.573?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**2. Let s(t) = -3*t**2 - 5*t - 5. Let m(z) = 2*z**2 + 3*z + 3. Let x(i) = 5*m(i) + 3*s(i). What is f(x(d))?\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -5\/42*j**7 + 0*j**4 + 0 - 6*j**2 + 0*j**5 + 0*j - 13\/6*j**3 + 0*j**6. Find the first derivative of u(b) wrt b.\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 422 - 744. Let m = b + 322.0000674. Round m to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210aa (base 11) to base 4\nAnswer: -13200031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52677, -105354, -158025, -210690, -263349?\nAnswer: -316002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j. Let z(u) = 11*u - 47*u - 8*u. Determine c(z(r)).\nAnswer: 88*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - j - 2*j - 1 = 0, 4*j = f - 27. Let b(m) = -3*m + 7*m - f*m. Let n(u) = 2*u**2. Give b(n(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-3)*5\/(60\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46904\/(-451)*(3\/1)\/(-12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-23) - 138630\/690. Is 3 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 + 175 = 358*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 5*j**2 - j - 2. Let m = -3 - -5. What is the least common multiple of n(4) and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (68625540\/156)\/15 + (-2)\/13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -12591.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -243486, -243484, -243482, -243480, -243478, -243476?\n\"Answer: 2*u - 243488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.309514 to one dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**4\/12 + 3181*s**2. Let y(f) = -47*f**2 - 1 + 1. Give t(y(n)).\nAnswer: 94*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28337 and 6375166.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -237, -6, 203 in increasing order.\nAnswer: -237, -6, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7385*z**6 - z**5 + 2*z**2 + 28683*z + 1 wrt z.\nAnswer: 886200*z**3 - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 23. Suppose 0 = 2*f + 3 - 1. Let r = 1 + f. Solve -q*u + 28 = 5*l, -36 = -5*u - r*u - 4*l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1694) + sqrt(224)*-6)\/((sqrt(7) + (sqrt(175)*1 - sqrt(7)))*-3).\nAnswer: 46*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 1:46 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*f - 6*w, 103*f - 108*f + 4*w - 2*w = 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 473 = 5*a, 210 = 2*a + 10*j - 14*j. Suppose -7*q = -3*q - 36. What is the remainder when a is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 154719.726\nAnswer: -77359.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*d**3*n*s - 419*d*n - 2*d*s + 1681*n*s + 24*n - s with respect to d.\nAnswer: 42*d**2*n*s - 419*n - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.56 + -776070.\nAnswer: -776085.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-80)\/18*12\/96*(-6)\/47. Is j smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9577097 divided by 14.\nAnswer: -9577097\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 32*c**2 + 68*c + 122. What is j(-30)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 17*x**2 + 18*x + 15. Let b be z(18). Suppose 0 = -3*i + 186 - b. Calculate the remainder when 225 is divided by i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1442, 1328, 1208, 1088, 974?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5441600 take away -6?\nAnswer: -5441594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + x**2 + x - 1. Let v(d) = -20*d**3 - 3*d**2 - 2*d + 3. Determine -6*a(r) - 2*v(r).\nAnswer: 34*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37823\/5736 - 132\/239. What is the common denominator of -41\/234 and g?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.129 - 1.291. Let s = c + 5.42. What is the nearest to -0.13 in 4\/9, 2\/11, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/11, 2\/5, 0.2, 55?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + 8. Suppose 3*c + 0*c = f - 3, -5*c = 0. Suppose -6 = d - 0*y + f*y, d + 5*y = -8. Sort d, o, 2.\nAnswer: o, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {z: 3, f: 3, s: 1, c: 5, j: 1}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 + 108. Let g(x) be the second derivative of -x**5\/20 + 2*x**4\/3 + 5*x**2\/2 - x. Let j be g(f). Solve -4*u = 2*l - u + 2, j*u = -4*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/29))**(-9))**16)**(3\/20) assuming x is positive.\nAnswer: x**(-216\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75587\/3 - 25198. Sort 4, 53\/3, z in increasing order.\nAnswer: z, 4, 53\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47860 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0726, -4\/7, -1 in decreasing order.\nAnswer: 0.0726, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 90, 248, 682, 1512, 2858, 4840, 7578?\nAnswer: 11192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/2 - 11*k**4\/2 - 2*k**3 + 104*k**2 + 160*k - 256 = 0. Calculate k.\nAnswer: -8, -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(-14))**(-45)\/(((s\/(s*s**4))\/s)\/(s**(-1\/8)\/s)*(s\/s**(-1)*s)**(2\/41)) assuming s is positive.\nAnswer: s**(104543\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52207 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -10, -48, -132, -280, -510?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*b - 3, -2*q = -3*b - 3 + 1. Sort b, 3, -2 in ascending order.\nAnswer: -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22605381605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96 - 6*h**3 - 96)*(-9 - 1325*h + 1320*h - 79) to c*h**2 + u*h + g*h**3 + i*h**4 + f and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvcbcbbccbbbvbbo. What is prob of picking 3 b and 1 o?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52674*l - 27 + 52672*l - 10 - 103*l**2)*(4 - 4 - 3*l**2).\nAnswer: 309*l**4 + 6*l**3 + 111*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41.042 - 41.281588. Let c = j + 0.239. What is c rounded to 5 dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*b**5 - 4*b**3*o**2 + 8*b*o**2 + 47*b*o wrt b?\nAnswer: 840*b**3 - 24*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from {x: 2, s: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v - 3*y - 27 = 0, -4*v - 2*y + 4 = 0. Suppose 3 = v*u - 0*u. Let w be (5*-6)\/(u\/19). Round w to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -17.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Suppose -2*v + 10400 = 2*w, -h*v = -v. Round w to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319973375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvb when three letters picked without replacement from hbkvkb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*p = -3*p - 75, 4*u + 3*p = 60. Calculate the common denominator of 56\/9 and u\/(-50)*(-38)\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 455069690.\nAnswer: 455069690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 15?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 1 h when three letters picked without replacement from hoohohohogo?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -933 * 3.4.\nAnswer: -3172.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/21)\/(272\/476)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0)\/(24 + -21). Let t be -14 - (-1 - 10\/(-8)). Let o = t + 14. Which is the closest to 1\/3? (a) f (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11306 + 33846 + 4*f**2 - 11248 - 11292.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29992.94 + 30324. Let g = w + -331. Which is the fourth biggest value? (a) 3 (b) 0 (c) g (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -41, -54, -71, -92?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = x, -2*h - 3*x + 2*x = -13. Solve 0 = z + z - i, h*z = 3*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 335*x - 79. Let b be i(84). Solve -3*w + 18 = -3*k + 9, 25 = b*k + 3*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(((-8)\/(-2) - (-720)\/(-288))*1). Find a, given that 16\/7*a - 2\/7*a**2 - r = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*d**2*m**5 + d**2*m**3 + d**2*m + 102*d - 8*m**2 - 3*m wrt m?\nAnswer: 700*d**2*m**3 + 6*d**2*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -122*m**2 + 413*m + 11. Let b(o) = -73*o**2 + 206*o + 6. What is 5*b(p) - 3*c(p)?\nAnswer: p**2 - 209*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -103320113111?\nAnswer: -103320113102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 378059 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 13. Let z = 1.09 + 46.91. Let v = 45 - z. Put 0.2, v, o in decreasing order.\nAnswer: o, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51382481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*t + 2*m, -5*t - 5*m - 40 = 0. Let o be 12\/2*(-1)\/t. Suppose 5*n - o = 4*p, p - 5*n + 2 = -3*n. What is the greatest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -151, -296, -433, -562, -683, -796, -901?\n\"Answer: 4*n**2 - 157*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5*q + 9 = p, -4*p + 12 = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2323, -2312, -2287, -2242, -2171?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5)*(x*(x\/((x*x*x*x*x\/(x*x**7)*x*x)\/x*x*x))\/x*x)\/x*((x*((((x\/(x*x**1\/x*x))\/x)\/x)\/x)\/x)\/x)\/x**(1\/2))**(-1\/76) assuming x is positive.\nAnswer: x**(47\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.807*-109.95\nAnswer: 88.72965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -11. Let n = 13 - y. Let g(p) = -p**2 - p + 29. Let x be g(-4). Solve 3*q - x = -n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) - ((-4)\/(-12))\/(12\/44)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/7 + 8211\/49. Suppose -o = -0*b - 4*b. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*n**2 + 0*n**2 - 43*n**2 - 45*n**2.\nAnswer: -198*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1242 + 2485\/2. Factor -c*k - 1\/2*k**2 + 1.\nAnswer: -(k - 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 - 179?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (320424\/9)\/(-4) + 4\/6. Let d be (c\/(-3))\/((-15)\/(-4500)). Round d to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1127, -2731, -4805, -7349, -10363, -13847?\n\"Answer: -235*y**2 - 899*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 - 100 = u - 5*o, -o - 19 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 48, 40, -3, 1 in ascending order.\nAnswer: -3, -1, 1, 40, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r + 2041930 = 46*r - 791771. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 p, and 1 d when three letters picked without replacement from {j: 2, x: 6, u: 1, h: 2, d: 5, p: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.11+-23506848221\nAnswer: -23506848219.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 3*m**2 - 4*m - 2. Let o be c(-4). Let x be 65\/o + (-1)\/6. Suppose 5*z - 12 - 8 = 0. Solve 4 = -z*r, x*r = -2*j + j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2789663.\nAnswer: 1223, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00578118 rounded to 4 decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -660, -662, -664, -666?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.048 + 0.352. Let m be (-5)\/(-2) + 19\/((-209)\/22). Sort 32, m, c in decreasing order.\nAnswer: 32, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcwcwcjc. What is prob of picking 1 c and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*55\/46200)\/((-2)\/8).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 10. Let i be l(-8). Let g be i\/(-8) + 26\/8. Suppose 0 = -g*a - f + 56, 3*a = 3*f - 0*f + 36. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.18312l in millilitres?\nAnswer: 62183.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*y - 5*d, 16*y - 2*d = 18*y + 4. What is the second biggest value in 27, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*a - 19, 4*m + 2*a = 5*a + 7. Let c be (-15)\/9*(-62)\/(-310). What is the nearest to c in -0.4, m, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40668 + -0.1301541089?\nAnswer: -0.5368341089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**6)*((d*d**1)\/d*d)\/d*d*(d\/d**3)\/d**(1\/7)*d**(1\/4)\/d**(1\/3)*(d**(2\/7))**(-1\/18) assuming d is positive.\nAnswer: d**(1451\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-27))\/(w\/w**(1\/29)))\/((w*((w\/(w*w*(w**(-19)*w)\/w*w))\/w)\/w)\/w**(-19)) assuming w is positive.\nAnswer: w**(-1768\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 15 = 5*r, l - 4*r = -l + 6. Let o(g) = -4*g**3 + 7*g**2 - 13*g. Let a(t) = -3*t**3 + 5*t**2 - 9*t. Determine l*o(f) - 7*a(f).\nAnswer: f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -11*u**6\/40 - 13*u**5\/60 - 7*u**4\/8 - 5*u**3\/2 + 123*u**2. Is t(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9380.758mg in kilograms?\nAnswer: 0.009380758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x + 5*a + 21 = 0, 2*x = -a - 7. Let c be (-6)\/(-8) + 5\/((-220)\/(-11)). Let b be (-3)\/((-1 - -2)\/(35\/(-15))). Put b, c, x in decreasing order.\nAnswer: b, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.3 + -3. Let w = -10.9 + 11. Which is the third smallest value? (a) w (b) f (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -13*i - 2. Calculate w(5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/8)\/v*v**(-12))\/((v**(5\/4)*v)\/((v*v**(5\/2)*v)\/v)))**(-16\/7) assuming v is positive.\nAnswer: v**(194\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.056*5844.5\nAnswer: -327.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -112915 (base 10) in base 5?\nAnswer: -12103130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22228\/735 or -31?\nAnswer: -22228\/735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3))*2 + -4 + sqrt(3) + 4.\nAnswer: 2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -222, -198, -138, -24, 162?\n\"Answer: 3*h**3 + 3*h - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let v(c) = 575912*c**2 + 2. What is v(h(y))?\nAnswer: 2303648*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0643 - -0.5643. Which is the third biggest value? (a) 2\/5 (b) z (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (13 - -4) - (8 + -36 - 8).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*z**5 + 9957378*z**4 + 2754165946557*z**3 + 9180479028168*z**2 + 10098500046132*z + 3672177007152 = 0. What is z?\nAnswer: -553186, -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-60)\/(-315))\/(6*(-4)\/28)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h + 1 - 13*h - 11*h + 39*h - 13*h.\nAnswer: -14*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 20512*a + 25 = 20507*a, 4*x + 20 = -6*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4296 and 0.1?\nAnswer: 4296.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154084815 and 117337.\nAnswer: 10667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38*(-3)\/42 + 12\/(-42). Suppose 4*f - 16 = 0, 0 = -5*x + 3*f + 9 - 1. Sort x, s, -23 in increasing order.\nAnswer: -23, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*r - 182 = 123*r. Solve 26*b = 22*b - 2*x - 4, r*x + 1 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*l + 40, -g = g - 4*l - 30. Find the third derivative of -14*d**2 + 15*d**2 + 4*d**g - 9*d**2 wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-4) - 7\/21*0. What is the highest common factor of h and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + (11 - (10 - (2 + (21 - (6 + 6)))))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = -8. Suppose -i*z = 3 + 6. Let n = -0.09 + -3.91. Which is the nearest to -0.1? (a) n (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33053*t**2 + 33053*t**2 + 11*t + 33009*t**2 - 99116*t**2.\nAnswer: -t**2 + 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105526744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 6, 1, 7, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -280, 0, 5, 4, 1 in decreasing order.\nAnswer: 5, 4, 1, 0, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyyyylyylyy?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, 0, 6, -62, 8, 2 in increasing order.\nAnswer: -62, -23, -3, 0, 2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/35)\/3*(-5)\/(-13)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003968258 to 7 dps.\nAnswer: 0.0000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 r when four letters picked without replacement from {s: 6, r: 4, e: 7}.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**4\/2 + 312*n**3 + 1266*n**2 + 1272*n = 0.\nAnswer: -2, 0, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 63.4. Let i = 3.3 - d. Which is the second biggest value? (a) i (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (4 + 8\/(-4)). Let y be 9*((-15)\/(-5) - n). Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 6 (b) 2\/7 (c) -0.3 (d) 2\/545\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:32 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20733246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 116 = 28. Let m = k - -54. Let j be 3*(-2)\/(-12)*m. Solve -s + 3*s - 1 = 3*q, 5*q + 2*s - j = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2192*s + 2187*s + 29, 5*s - 21 = f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/5)\/p*p**(1\/15)*(p**(-3)\/p)\/p**(-1\/2) assuming p is positive.\nAnswer: p**(-157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 690681 times 0.4?\nAnswer: 276272.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6912)*-2.\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8932946?\nAnswer: 2, 11, 36913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -d + 1. Let f(o) = -o**3 + 3 + 5*o**3 - 3*o**3 + o - o**d. Calculate f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16001?\nAnswer: 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*z + 249*z + 5 = -1 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 w, and 1 c when three letters picked without replacement from wzjcmwmcccjzcjm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 6:14 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11 = 4*w + 7*m, 0 = 4*w - m - 7. What is the nearest to w in -5, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (57 + -62)*3\/6\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 4. Suppose -6*r - 24 = -14*r. Let w(s) = -4 + r - 18*s + 4 + 29*s - 13*s. Give -3*v(y) + 4*w(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.9 times 0.4?\nAnswer: -7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-1 - (sqrt(11) - (sqrt(11) + sqrt(176))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 16 - 0. Let o(l) = -l**2 + 4*l - 5. Let d be o(8). Let j = d - -18. Sort j, 2, q.\nAnswer: j, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 0*o - 5\/2*o**2 + 1\/20*o**5 + 1\/8*o**4 - o**3 - 4. Let h(d) be the second derivative of r(d). Factor h(i).\nAnswer: 3*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23104 + -10?\nAnswer: 23054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c - 145. Let g(q) = 3*q + 9. Let t(b) = b. Let f(u) = g(u) - 2*t(u). Calculate the smallest common multiple of f(-4) and i(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 1, 0.05 in descending order.\nAnswer: 63, 1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 160290 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6106*p + 742 = 6092*p for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 702 - 650. Let f(b) = -b**2 + 52*b + 44. What is the lowest common multiple of f(u) and 6?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 16*u**2 - 55*u + 221. What is the remainder when z(4) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 4*l**4 - 4*l**4 + 9*l**4 - 3 - 15*l**2 + 27*l**2 to the form v*l**3 + s + p*l**4 + o*l + t*l**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/(6\/(-8)). Suppose -3*i = q*v - 16, 10 = -3*v + 2*v + 3*i. Let w(x) = -2*x**2 + v*x**2 - x**2. Let n(c) = c**2. What is w(n(d))?\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 10:08 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*d + 5*r - 0, -2*d - r + 5 = 0. Sort d, 0, -1.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12401434 (base 8) in base 16?\nAnswer: -2a031c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-3))\/((-4)\/(-12)). Let a = 16 + -6. Suppose 4 = -y - b, 0 = -t*b - 15 - a. Let h(i) = 6*i**2 + i - 1. Give h(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21395 - 3*k + 42787 - 21397.\nAnswer: -3*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*w = 106*w + 256. Suppose -3*x = -4*l - 43, 23*x - 19*x - w = 4*l. Solve -24*o = -x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 11. Let p(x) = -9*x**2 + 142435 - 142435. What is p(m(y))?\nAnswer: -36*y**2 + 396*y - 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 80275\/(-760) + ((-2145)\/5720)\/(1\/(2 + -1))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1657420 and 1243065?\nAnswer: 4972260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 11*u**3\/6 - 11*u**2\/2 - 2893*u. Give l(-5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0999 and -42.\nAnswer: -4.1958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 h when four letters picked without replacement from hhhyphpyyyhhyyhhpy.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - 4*(-1 + sqrt(432)))**2 + 2.\nAnswer: -288*sqrt(3) + 3906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 63488 divided by 8\nAnswer: 7936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/51913 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 7)\/(1\/(-2)). Solve -5*p = -5*m, -p - p = -w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 8. Let m(o) = 4*o**2 + 5 + 5 - 2*o**d - 10*o - o**2. What is the tens digit of m(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13771 - 11611. Is 270 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrbb. Give prob of sequence bz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20390967?\nAnswer: 3, 773, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1304 + 1330 - (48 + (2 - 0))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = 4*w, -2*p + 7*p + 2*w = 20. Solve -p*o + 15 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 1\/2*l**2 - 34 + 2*l. Let o(d) = 25*d - 25. Let k(z) = c(z) + o(z). Differentiate k(j) wrt j.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 102332310110?\nAnswer: -102332310100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(sqrt(19) - ((-2 + -3*sqrt(19))**2 - sqrt(19))).\nAnswer: 300*sqrt(19) + 5250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.099 (b) 1\/6 (c) -3\/8 (d) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbfblfbfppbklbkbbbb. Give prob of picking 1 f and 2 p.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 588657605 divided by 5\nAnswer: 117731521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - 7. Let s = z - -16.9. Let y = -241 - -241. Which is the smallest value? (a) -1\/9 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249512 divided by 62378?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.1 (b) -43 (c) 0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-30)\/(-12)*(-2)\/(10\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**3*m*o + g**3 - 7*g**2*m*o + 11*m - 127*o wrt m.\nAnswer: g**3*o - 7*g**2*o + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/((-1)\/(-15)). Suppose 2*q + 16 = i*q. Solve -2*u + 6 = -2*s, 12 = -0*u + u - q*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4145450 is divided by 45553.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108428, -108471, -108552, -108671, -108828, -109023, -109256?\nAnswer: -109527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z + 4 = -2*q, -3*z - 6 = 3*q. Solve z = -4*i + 9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129 + 129. Let r be 22\/18 + 35 + -36. Find n, given that c*n + 2\/9 - r*n**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j + 3*j + 18*j + 3*j to s + t*j and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**7\/35 - 98*c**6\/75 + 363*c**5\/25 + 662*c**4\/15 - 459*c**3\/5 - 578*c**2\/5 + 8*c + 25. Solve s(z) = 0.\nAnswer: -2, -1\/3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 4, -20, 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 - -89. Let l = -11 - j. Suppose -4*n - l*i + 24 = 0, 2*i + 6 = n + i. Solve -n*d + 6 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 - 5 = 0. Suppose -3*a + 3 = 0, h = -h + k*a + 6. Is ((-2)\/h)\/(9\/(-2934)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2352)\/(-6664)*(-816)\/(-27)\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - o + 4. Let b(m) = -m**2 + 3. Suppose 3*s = 5*r - 24, 41*r = -3*s + 36*r + 6. Determine s*w(g) + 4*b(g).\nAnswer: 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -42*g**2. Let x(z) = 692 - 8*z - 692. Determine a(x(m)).\nAnswer: -2688*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 1 - -4) + -14. Let r be 4\/6 - 28\/b. What is the units digit of 1*(r\/1 + 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d5b7d - 291?\nAnswer: d58cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 - 6 - 10*k + 8 + 4. What is the tens digit of h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25034 and 0.1.\nAnswer: 25034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-28)\/42)*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 75\/(-9) + 0 + (219 - 212)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(4 - 4 - 1)*(f - 2*f - 2*f)*(-11 + 181 - 90) to w + z*f and give z.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -1\/8 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/3)\/d)**0\/(d\/d**(-3\/7)*d*d*d**(-3)) assuming d is positive.\nAnswer: d**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -1488568.\nAnswer: 7442840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 4, 7, -90814?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*(-18 - -11) + (-5)\/(-1). What is the greatest common divisor of h and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*i - 9*i = -12, 3*i = -5*g + 15. Solve -t + 3*p = 5 + g, -5*t - 2*p = -11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 980 and 496370.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199 + 5909. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -1266, -3514, -7088, -12234, -19198, -28226, -39564?\nAnswer: -53458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3633, 3618, 3613, 3624, 3657, 3718, 3813, 3948?\n\"Answer: w**3 - w**2 - 19*w + 3652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 y when four letters picked without replacement from {x: 15, y: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5086821000930.4 + -21?\nAnswer: 5086821000909.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*a + 536 - 536 + (-3*a + 3*a - 2*a)*(-4 + 1 - 2))*(-6 + 3 + 1).\nAnswer: -94*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011000110001101 - -101?\nAnswer: -10000011000110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*h - 34. Is 16 a factor of (-1764)\/h - (-14)\/(-77)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051861 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 799*a**2 + 802*a**2 - 1601*a**2 - 2*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4816 * 25\nAnswer: 120400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let a(t) be the second derivative of 0*t**2 - 5*t + 0 - 1\/6*t**3. What is d(a(c))?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -64*w**3 + 2*w**2 - 2*w - 2. Let k(i) = 129*i**3 - 5*i**2 + 4*i + 5. Calculate 2*k(t) + 5*r(t).\nAnswer: -62*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -175561328 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = -10. Calculate the remainder when f is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 <= 3565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 1, y: 7, m: 2, d: 2, r: 3}. What is prob of picking 2 d?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 3\/2 (c) -3 (d) 2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 20*f + 9. Let i be j(9). Suppose -i*l + 185 = -67*l. Let s = 45 - l. Solve 0 = 5*k + 2*r - s, 4*r = 3*k - k + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/20)\/z**(2\/13)*z**(-1\/13)\/(z*z*z*z**0))**44 assuming z is positive.\nAnswer: z**(-9097\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(1331) + sqrt(11)).\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Suppose -a - a + 5*y = -86, h = -4*a - 5*y + 172. Does 5 divide a\/5 - 4\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4223 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: Suppose -f = 2*f - 36. Suppose 2*i + b + 0*b = f, 5*i - 3*b = 8. Let p(q) = 3526*q - 4. Let m be p(i). What is m rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 15*q**2 - 97*q - 1001. Let t be d(-18). What is the greatest common divisor of t and 2828?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Let g(o) = -7*o**2 - 6*o + 6. Let b(p) = -6*p**2 - 5*p + 5. Let f(n) = y*g(n) - 6*b(n). Let c(d) = 4*d**2. Calculate f(c(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 13) to base 11.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -4) + (511 + -496 - (0 - -20))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 158 - 62 - (11 - -2).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*n = -3*d - 23, -2 = -2*d + 2*n. Let s = 0.2 + 0. Let r = -4 - -3. What is the closest to s in -4, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-2)\/u)*u)**14*u*u**6*u*u*u\/(u**(-5)\/u) assuming u is positive.\nAnswer: u**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m. Suppose -10 = -4*h + 2. Let q(o) = -3*o + 0*o + 3*o**2 + h*o. Calculate g(q(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(384)\/(sqrt(12)*1) - (3*6*(-1*(sqrt(2) + -1) - sqrt(2)))**2.\nAnswer: -2912 + 1300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(1 + (-15)\/9). Suppose -j + 2 = -0*j. Let p(q) = -2*q + a*q - j*q. Let i(h) = h**2. What is i(p(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/25)\/((-1)\/155). Suppose -v + c = s, -3*v = v - 3*s - 358. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 18221*o - 164056. What is q(9)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 5.7. Let v = m + 3. Let j = 773\/9 - 86. Which is the closest to -2\/7? (a) v (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207af (base 16) to base 12\nAnswer: -64ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 111632*d**4 + d - 2*d + 111707*d**4 - 3*d**3 to the form g*d**3 + v + i*d + h*d**4 + l*d**2 and give h.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 85 + 35 = 0. Suppose p = -3*c + b, -2*p + 2*c = -2*c - 140. Calculate the remainder when p is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 + 4. Let j = -6.5 - 8.5. Are i and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z - 38*z + 2 - 49*z. Let g be q(-1). Let r = 1 + 8. What is the highest common factor of r and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 1. Let b(z) = -6*z - 3. Give 2*b(r) + 6*d(r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -5478\nAnswer: 2\/2739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 2\/1559 (c) -3 (d) -12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6*f. Let m(z) be the first derivative of -z**3\/3 + 3*z**2 - 5*z + 2. Let s be m(4). Solve -3*i + 2*i = f, -h - s*i - 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m - n = -4845, -5*m + 2*n + 12135 = 0. Suppose -3*d + 8741 = -m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2693 and 9.942.\nAnswer: 9.6727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 2\/7 (b) -120 (c) 13\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82140982 and 706?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 3\/5, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5.3 * 681827\nAnswer: -3613683.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-2*sqrt(1080))\/(-1*sqrt(90) + sqrt(10)))**2 - 6*(sqrt(27) + 0 - (-2*(0 + sqrt(3) + sqrt(3)) + sqrt(3)))).\nAnswer: -432 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*b = -83*b - 210. Suppose 0 = -n + 2*r - 52, 2*n = r - 100 - 16. Let x = b - n. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**5\/60 - 5*r**4\/24 + 7*r**3\/6 + 7*r**2 + 5*r. Let v(l) be the first derivative of s(l). Calculate v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 28*q**2 + 25*q + 24. Let d be c(-29). Let a be (4 + d\/(-36))\/(-1). Let f = 13 + -6. What is the second biggest value in f, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**(-1)*y*y)\/y)\/y)\/(y\/y**(2\/11)))\/(y\/(y**9*y)*y\/(y\/(y\/y**6))) assuming y is positive.\nAnswer: y**(145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -5361240\nAnswer: -48251160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -957 + -36.59876\nAnswer: -993.59876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 428 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 281567420 > 281567420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/((-154)\/4))\/(1 + -2). Put s, 1, -0.4, -1\/12 in descending order.\nAnswer: 1, s, -1\/12, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*a - 775*a = -1551*a - 10, -r + 42 = -3*a for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -7. What is the second derivative of s**k - s**2 - 2*s - 2*s**2 - s**2 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -29*o**2 + 3609*o - 1633. What is l(124)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30999 - 61999\/2. Which is the third smallest value? (a) w (b) -20 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 4*t**3 - 5*t**3)*(-2923 + 361817*t - 361819*t - 2615).\nAnswer: 4*t**4 + 11076*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-5)\/(10\/4)))\/(56*(-28)\/147)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 336181272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 25*b**3 + 2*b - 1. Let n be h(1). Suppose 35 + 160 = 102*k - 87*k. Calculate the highest common divisor of n and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*sqrt(80)\/sqrt(4)*-5)**2.\nAnswer: -160*sqrt(5) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w - 21. Let k be ((-13 - -6)\/21)\/(2\/(-12)). What is the remainder when 8 is divided by o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**3*q + 2*k**3 + 213*k**2*q - 17*k**2 + 23*q - 112 wrt q.\nAnswer: k**3 + 213*k**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 2*z + 2. Let t = 24 + -20. Let x(v) be the third derivative of -2*v**2 + 0*v + 0 - 1\/12*v**5 - 3\/2*v**3 - 3\/8*v**t. What is 9*f(m) + 2*x(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -4*a. Suppose -2*b - 3*b + 5*s + 15 = 0, a*s - 10 = 0. Let f = -5 + 45. What is the greatest common factor of f and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(1144\/(-80) + 15). What is the greatest common divisor of 4050 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + sqrt(2) + 1 + sqrt(2) - sqrt(2)) + -5.\nAnswer: -7 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2233427 and 2719043.\nAnswer: 4952470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 30 = 11*c, 21*l + 6 = -4*c + 22*l. Factor 2\/9*r**4 + 2\/9*r - 2\/9*r**3 - 2\/9*r**2 + c.\nAnswer: 2*r*(r - 1)**2*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/11, 0.24, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 4431?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-308)\/(-4)*6\/21. Is -8 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 15. Let r(k) = 18*k. Calculate i(r(m)).\nAnswer: -72*m + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2075 = 19009. Suppose i = -9*p + 21*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08342683176 minus 0.4?\nAnswer: -0.31657316824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 115 + 22. Calculate the remainder when 121 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 47) + (-42 - (5 + -14 + 8))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 14, w: 4}. Give prob of picking 4 d.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 1fdb?\nAnswer: 1fdf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 3. Let i be z(5). Solve -2*j - 10 = -i*x, 5 = j + 2*x - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**2 - 15*d - 90. Let v(t) = 5*t**2 + 9*t + 54. Let y(k) = 3*q(k) + 5*v(k). Let a(p) = -2797*p. Give y(a(o)).\nAnswer: -15646418*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.9 + 42.9. Let g = -1.2 - -0.2. Which is the nearest to m? (a) 2 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/(-1568)*-8)\/((-2)\/28))\/((-58)\/(-174)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/3)\/(-38 - (60\/10 - 10))?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2 - 8. What is the common denominator of 1365\/(-100)*(-4)\/c and -7\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4825 a factor of 142376100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1089414 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3874, 7739, 11604, 15469, 19334, 23199?\n\"Answer: 3865*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 90?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 682.7428 litres?\nAnswer: 682742.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1451030 and 118919?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -93284608, -186569217, -279853826?\n\"Answer: -93284609*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 361 + -668?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 244468?\nAnswer: 488936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29362 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 455247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d - 4. Let f = 1 - -3. Suppose f*o = l - 3 - 9, -2*l + 24 = -3*o. What is the remainder when v(-3) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:43 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881065119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -3. Let n = o - 67. Which is smaller: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/4*30\/27*123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 14) to base 13\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(8\/5))\/x)\/(x*(x\/(x**(3\/11)*x))\/x))**(-48))**(-4\/21) assuming x is positive.\nAnswer: x**(6592\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-69)\/(-46) - (60\/8 + -3). Sort -2, q, 3, -30 in descending order.\nAnswer: 3, -2, q, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 83?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -1407 (c) 2 (d) -1 (e) 0 (f) 0.005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/82887 and -131\/23682?\nAnswer: 165774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2488 and -43\/540?\nAnswer: 335880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(-4 + 4 + 2) - 3 + 3 + 2 - 3 + 2 + 3 + 3 + 2 - 6)*(-5*f + 2*f + 2*f + (1 + 2 - 2)*(-5*f + 2*f + 0*f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 3*f**3 + 3*f**3 - 4*f**3 + 36 to the form h + m*f + b*f**2 + v*f**3 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 42*k + 14*k.\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 14 = -2*c, 2*y = -3*c + c - 6. Suppose 3*a + c*a - 525 = 0. Let i = a + -47. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 34, 58, 110, 202, 346, 554?\n\"Answer: 2*h**3 - 4*h**2 + 6*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -10 (c) 2\/15 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6237745537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 + 2 = 0. Let k = -2 + l. Let s = 1080 - 3241\/3. Is s smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4615*n**3 + 21206*n**2 wrt n?\nAnswer: -27690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3911 - -3981. Calculate the remainder when 237 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163 by 85.\nAnswer: -163\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68.9923 + 0.0077. What is the biggest value in 5, 1\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 + 0 + 8\/3*o + 0*o**2 - 2\/3*o**4 = 0 for o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfjj when four letters picked without replacement from jffffffjff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795*l - 266*l + 48276 = 11775 for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 3050?\nAnswer: 27450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333429 is divided by 666708.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71466 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 2*y**2 + 2*y. Let h be m(-2). Sort -3, 0, h.\nAnswer: h, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, n: 2, a: 2, l: 4}. Give prob of picking 3 m and 1 l.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51713 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1\/x)**17\/((x*x\/(x**(-2\/7)*x))\/(x*x**4\/x)))**(-30) assuming x is positive.\nAnswer: x**(-4140\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 65*l. Suppose 2*o + 0*o = -3*m + 11, 4*o + 3*m = 13. Is r(o) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24837 is divided by 3014.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 v when three letters picked without replacement from xvxvxxrxrvrxvvr.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 10*v + 14. Let j be y(11). Let h = 2 + -3. Is 141*2\/j - h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)*k)**9\/(k*k**(1\/4)*k\/((k*k\/(k**(1\/2)*k))\/k))*((k*k\/(k\/(k\/k**0))*k)\/k)**(-8)\/(k*k\/k**1)**(-6\/11) assuming k is positive.\nAnswer: k**(-3627\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6274, -12610, -18960, -25330, -31726, -38154?\n\"Answer: -x**3 - x**2 - 6326*x + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*v - 5. Let u(s) = -3 - 4*s - v + 5*s. Let l be -7 + (0 + 3 - -1). Give u(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(4)\/sqrt(2)))\/sqrt(6) - ((sqrt(5) - sqrt(320)*-1) + 1).\nAnswer: -8*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -330 - -334. Solve 1\/3*z**l + 0*z**2 + 0 + 0*z + 1\/3*z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 975 and 1356600.\nAnswer: 17635800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*((-3*p - 2*p + 0*p)*(2 - 3 + 2) + 7*p + 0*p + 3*p) + 8*p + 0*p + 0*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1517 + 765 + 843)*(0 + n + 0)*(-5*n + 4*n + 3*n).\nAnswer: 182*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7778823 or 7778821?\nAnswer: 7778821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 6) to base 15.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -446.25 + 442.25. Let o = 15 - 24. Sort 3, 2, j, o in descending order.\nAnswer: 3, 2, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1369845*k**3*v - 885*k**2 - 6*k*v - 34 wrt k?\nAnswer: -8219070*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12915*z + 12913*z - 3 + 17 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Suppose -5*u = -3*n + 5, -2*u + 5*u - 6 = d. Suppose 4*t - s - 33 = 4*s, 20 = n*t - 2*s. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03000039 - -0.03. Round s to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2821\/30 + 1408\/15. What is the second biggest value in 20, c, 1, -7, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-353 - 353 - 1128)*(-6 - 3*y + 6) to the form v + m*y and give m.\nAnswer: 5502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q + 12. Let l(u) be the first derivative of -u - 45. Suppose -23 = -2*w - 7. Suppose 3*h + 46 = 5*a, -h - 3*a - w = -a. What is h*l(x) - o(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*v - 2 - 3*v**2 - 636*v + 2.\nAnswer: -3*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-3)\/30*(-16)\/(-24)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -19, 1 in increasing order.\nAnswer: -19, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.71 + 38. Let i = 0.19 - y. Which is smaller: -3 or i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.8? (a) 2\/17 (b) -1\/2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {o: 2, k: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -2\/7, -0.2, -4.\nAnswer: -59, -4, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5*t - 12 - 7, -5*a = -5*t - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18 - 0\/(4\/(-2)). Let l be (-1)\/(((-21)\/m)\/(-7)). Solve -2*g + l*g = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -3. Let d(f) = -f**3 - 5*f**2 - 5*f + 1. Let y be d(r). List the prime factors of 154\/(-35)*y\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7044432330 to the nearest one million.\nAnswer: -7044000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6))\/(-3 - (-23)\/8). Let u be 100*-1 - (-1 + 1). Is m\/(-10) + (-114060)\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5753*i + 18835*i - 36956*i)*(0 + 2*i + 0).\nAnswer: -24736*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48.14 + 79.4. Let x = -16 + -15. Let n = x + z. What is n rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130571429 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1928 - 9638\/5. Determine x so that 162\/5*x**2 + c - 36\/5*x = 0.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, n: 5, b: 4}. What is prob of sequence tni?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*u**3 + 11*u - 4*u - 4*u - 20*u**3 wrt u?\nAnswer: -186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 3) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 + 33*w**2 + 19*w - 20. Determine q(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 3. Let f be z(4). Suppose -f*h + 37 = -2*a + 2, -h = -a - 4. Solve w + 3*l + h = 0, 5 = -l + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*n = -5 - 12, -3 = -r - n. Solve 13 = b - r*z + 2*z, 2*b - 6 = z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p**2 - p - 24. Let c be l(0). Let j = c - -29. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-35))\/(108\/(-405)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2837 - 2820 + 5*j + j**2 - 26*j)*(5*j + j - 4*j)*(3*j**2 + 4*j**2 - 5*j**2).\nAnswer: 4*j**5 - 84*j**4 + 68*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*m, 5*l - 3*m + 466 + 460 = 0. Let u = -173 - l. Suppose 5*t + 15 = -5*z, 2*z + 4*t + 21 = -t. Solve -z*x - 3*q + 5 = 3*x, 3*q = -2*x + u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 59.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 489*o**4\/20 + 976*o**3\/15 + 97*o**2\/2 - 2*o\/5 - 159. Determine u, given that k(u) = 0.\nAnswer: -1, 2\/489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 964.284094 from 0.4.\nAnswer: -963.884094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3\/3 - 45*d. Let y(v) = 5*v - 4*v + 3*v. Calculate l(y(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 4\/3*m**3 - 1\/2*m**2 + 1\/240*m**6 + 0*m + 1\/6*m**4 + 6 - 7\/120*m**5. Let x(d) be the second derivative of o(d). Factor x(r).\nAnswer: (r - 4)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.0408, 2 in descending order.\nAnswer: 2, -0.0408, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -3887*c**4\/24 - 511*c**3\/6 + 2*c**2 - 996*c. What is the derivative of q(u) wrt u?\nAnswer: -3887","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.016 (b) 7 (c) -8 (d) 2\/29 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) + -2*sqrt(475) + -4 + sqrt(475)) - (0 + sqrt(475) + 3)) + sqrt(475) + (sqrt(475) + 1)*-4 + 1*sqrt(475) + -1)**2.\nAnswer: 80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -1, 0.3569 in descending order.\nAnswer: 0.3569, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1646448 and 4176?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6049904.44 rounded to the nearest ten thousand?\nAnswer: -6050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83570529?\nAnswer: 3, 7, 751, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -2. Let c = 96 - 64. Suppose -v - c = -2*a. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1541*t - 121 - 3090*t - 14*t**3 - t**4 + 1547*t - t**2 in the form d*t**2 + j*t**4 + p + f*t**3 + o*t and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 111*n + 10. What are the prime factors of u(2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -619 + 620. Suppose -g + 11 + 4 = 0. Sort -4, g, y in descending order.\nAnswer: g, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 6. Suppose 2*s + 2*b = k, 5*b + 13 = -0*s - 2*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -12. Let f = w - 7. Let g = -20.89 + f. Round g to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 7:54 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:26 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8472 (base 13) to base 3.\nAnswer: 221011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170*p*x**5 - p*x**2 - 5768*p + 9*x**5 wrt x.\nAnswer: -10200*p*x**2 + 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 63834, 63833, 63832?\n\"Answer: -l + 63835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -249261a2 - 4?\nAnswer: -249261a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 2542?\nAnswer: 2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166803 and 238290.\nAnswer: 1668030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-111)\/(-37)*-1)\/6)\/(2*(-2)\/(-40)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-27)\/(-12))\/(-30*(-21)\/336). What is the biggest value in g, 143, -0.4, 4, 2\/11?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.7, -10, 0.2?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/12*(36\/(-15))\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3 = -4*w, -2*t - 6 + 8 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 15. Let p be (-4)\/(-14) - 174\/21. Let r = -7 - p. Which is smaller: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15755 + 31515 + 24112*g - 15760.\nAnswer: 24112*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -126178 divided by -3?\nAnswer: 126178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60271 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18872 and 103040.\nAnswer: 34724480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24995 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11038914 a multiple of 542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8305561.\nAnswer: 11, 83, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 15. Let k = 32 - d. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -91*z**3 + 3*z**2 + 3*z + 2. What is the tens digit of t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17543\/(-477) - (-21 - -2)) + 18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47.61 - 2.61. Let v = s + -40. Let u(d) = 5*d**3 - 2*d - 1. Let n be u(-1). What is the closest to -2\/3 in -2\/9, v, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14861 - 7389 + 2*k**2 + 9*k - 7400 - 9*k + 60*k**3.\nAnswer: 60*k**3 + 2*k**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9857*-0.17.\nAnswer: -0.337569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 - -196. Let v = 3 - 1. Suppose -5*q - 2*s + 36 + 26 = 0, 2*q = v*s + 22. What is the highest common divisor of q and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 10*u**3 - 32*u**2 - 99*u + 63. Let s(i) = 3*i**3 - 10*i**2 - 30*i + 21. Let n(b) = -7*s(b) + 2*w(b). Determine n(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 52*z**2 + 50*z - 160. Determine b(-53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*d + 8*d. Let r be 1 + (1 - -18) + (-95)\/19. What is the units digit of (d - -1)*(r\/(-5) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 969177303 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 21. Suppose -10*g + q*g + 4 = 0. Find the third derivative of -7*d**5 - 7*d**5 + 7*d**5 + 4*d**5 + 19*d**g wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) + (sqrt(126)*-1 - sqrt(126)))*-1 + sqrt(126))\/((sqrt(30)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123330 (base 5) to base 6.\nAnswer: 34224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73761*q**2 - q + 150832 wrt q?\nAnswer: 147522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 3 + 23)\/2. Find the first derivative of 15*a**3 - s*a**2 - 17 + 11*a**2 wrt a.\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1129525 to 2 dps.\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 6. Let q = j + -51. Suppose i - 100 = -4*i. Solve -5*w + w = 4*k + i, -5*w - q = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q + 0*q = -225 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54333 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*15\/105\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0 + 1\/33*l**3 - 5*l - 1\/66*l**4 + 0*l**2 + 1\/165*l**6 - 1\/110*l**5. Determine s, given that c(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.48538 + -0.18538. Sort u, 0.5, 0, -0.7, 5 in descending order.\nAnswer: 5, 0.5, u, 0, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 92*h**2 + 86*h**2 - 154*h**2 + 2 + h to g*h + c*h**2 + j and give c.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 383544 and 6552.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5352364068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - s - 497 = 0, 2*s - 67 - 139 = -2*a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 47*l = 48*l - 20, -3*k = -l - 40. Calculate the remainder when 1949 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 1 + 101*a + 0 - 6*a**2 - 46*a in the form x*a + b*a**2 + t + c*a**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0 + 12. Suppose -n*o = o - 92. Let s = o - -2. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129862396?\nAnswer: 2, 131, 247829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 5. Let f(g) = 4 - 1 - 4. Let x be (-6)\/(-15) + ((-228)\/20 - -10). Determine x*c(y) + 6*f(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -2*q - 25423 + 25453, 0 = 7*k - 4*q + 48 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 21*b - 3 = 25*b, -3*b - 8 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 4*s + 1. Let f be c(-3). Sort 2, f, 10.\nAnswer: 2, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let u = -18 - -18. Does u = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1387 + 653 - 85 = 17*s. What is the remainder when 255 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c**4))\/c*c*c*c**15)\/(((c*(c*(c**(2\/21)*c)\/c)\/c)\/c)\/c**(-1\/9)) assuming c is positive.\nAnswer: c**(680\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5434 - -5449 - (1 + (32 - 2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230463 is divided by 113?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/53 - -85\/424. Let k = -11.8 + 11.5. What is the closest to -1 in k, d, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 6. Let w(j) be the first derivative of -j**4\/12 + j**2\/2 + 2*j + 2. Let n(q) be the first derivative of w(q). Calculate n(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7959 greater than -6519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3724 is divided by 528?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 - 9.5. Let x = -0.1 - 8.9. Let f = x - m. Which is the smallest value? (a) -3 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 10961489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2)*(-22)\/363.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + r. Let v be w(-1). Suppose 0*n + v = n. Find the third derivative of 2*f**2 - 3 - 3*f**4 + 3 - f**n wrt f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-2)\/b))**(-2\/107)*((b\/b**(-6))\/b)\/b**3 assuming b is positive.\nAnswer: b**(313\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -219.47861?\nAnswer: -21.947861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -273073249 less than -273073253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1204a2 (base 11) to base 12.\nAnswer: -925a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j + 35. Let r(v) be the third derivative of -v**4\/12 + 514*v**2. Calculate r(i(q)).\nAnswer: 10*q - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7584.876 litres in millilitres?\nAnswer: 7584876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418 + 196. Let u = 211 + j. Does -3 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -12.2. Let j = l + -2.2. Let u be (1\/3)\/((-3)\/(-6)). Which is the closest to u? (a) 1\/3 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7299?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210022 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*f - 4*n, -3*f - 2*n = 2*f - 25. Find the third derivative of -f*u**6 + 0*u**6 + u**6 - 2*u**2 - u**2 wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y + 1. Let l(x) = -5*x**2 + 6*x + 6. Let q(h) = 30*g(h) - 5*l(h). Let b(o) = 3*o. Determine b(q(v)).\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -542?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 163, 328, 559?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -4\/5, -65, 0, -5, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.024. Let i = -7.1707937 + 7.1948. Let v = i + o. What is v rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -196111, -392208, -588305, -784402?\n\"Answer: -196097*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 1, q: 1, f: 2, y: 2, t: 1}. What is prob of picking 1 q, 1 y, and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*f = 40. Solve q + 0 + 2 = -l, 0 = -f*q - 2*l - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 56 = 3*y - 12*m, 4 = -2*m + 2. Let r = -102 + 150. Suppose r = 2*j + 2*j. Calculate the lowest common multiple of y and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 + -6 + 3912\/16 - (-2)\/4. Suppose 11 = 4*v - 33. What is the highest common factor of v and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 11) to base 8.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 e when three letters picked without replacement from pvvezmzzzmezp?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8527 divided by 1\nAnswer: -8527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 1471 + 1498 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(22\/(-4) + 4). Solve 6 = -2*z - 0, 0 = -m*a + 4*z + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -147*k**4\/4 - 235*k - 220. Differentiate c(q) with respect to q.\nAnswer: -441*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 5:14 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2242219*l**2 + 3*l + 86463 wrt l.\nAnswer: 4484438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-342)\/(-30) + 6\/10. Suppose 0*n + 4*n = i. Sort n, 4, 1 in ascending order.\nAnswer: 1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 2*v - 36. Let x(w) = w. Let a(q) = b(q) - 3*x(q). Let c be a(0). Let j = c + 100. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 315 + 185. Calculate the common denominator of -30\/7 and 4 - (-4 + x\/55).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3304505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621330 is divided by 2185.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9823 or -9824?\nAnswer: -9824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Which is the nearest to 0? (a) 6 (b) -2\/13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36692285.\nAnswer: 5, 7, 1009, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 126564\/228 - (0 - 6\/(-57)). Let k = -551 + i. What is the greatest common divisor of 12 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33227?\nAnswer: 149, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/13 and 31\/2184.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6. Let q = 12 + -8. Solve -2 = -4*t - l*g - 20, -3*g = q*t + 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1715069 divided by 5\nAnswer: -1715069\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/12*-18*(-26)\/(-312)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 42864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049383?\nAnswer: 61, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 - 18*m**2 - 21*m**2 - 34*m + 4*m**2 + 35*m.\nAnswer: -25*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -953*l**3 + 374*l**3 + 582*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1205*n - 21688. What is u(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726 = -18*p - 852 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 1 - 1)*(0 + 0 - u**4 + (4*u + 0*u - 2*u)*(-u**3 + 2*u**3 + 4*u**3)).\nAnswer: -18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14121\/2282 - -19\/163. What is the common denominator of 131\/516 and l?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-920)\/(-16))\/(-2*-7*(-7)\/196).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -170 and -9\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -49. Let d = m + -37. Let p = d + 8. Which is the closest to 1? (a) p (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*j - j + 13 = 0, 5*l + j = -23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -10*l**3 - 10*l**2 - 17*l - 38. What is p(6)?\nAnswer: -2660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 82260, 3, 6\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30524216116 - -3?\nAnswer: -30524216113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1053 divided by 6270.\nAnswer: -351\/2090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/20315 and 14\/385985.\nAnswer: 385985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a = 3 - 59 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d - 102. Let k(x) = -x. Determine -i(c) + 3*k(c).\nAnswer: c + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 2*h - 1. Let n be d(-2). Let u = -7 - -12. Suppose -28 = -4*m - 5*o - 3, m + o = u. Solve -2*y - n + 9 = m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:16 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619*y + 99465 = -6486 - 38895. What is the remainder when y is divided by 116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40150000 to the nearest 100000.\nAnswer: -40200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7912*d**5*y**2 - 2164*d**2*y**3 - 19866*d*y**3 - 930*d wrt d.\nAnswer: -158240*d**3*y**2 - 4328*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 9 + 2*a - 5*a + a. Let z be b(9). Factor -2\/5*g + z - 2\/5*g**3 - 4\/5*g**2.\nAnswer: -2*g*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 3*i**2 + 7*i + 9. Let o(d) = -d**2 + 2*d + 1. Let g(x) = -f(x) + 4*o(x). What is g(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 - -5) - (1 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.299 (b) -5 (c) -15 (d) 5 (e) -0.384\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -3*h**5\/25 - 24*h**4\/5 - 233*h**3\/5 + 399*h**2\/5 - 13527. What is u in t(u) = 0?\nAnswer: -19, -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/3, -1.78, 29.\nAnswer: -5, -1.78, -1\/3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 3. Calculate t(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 94 + 114 + 2*a.\nAnswer: 2*a + 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let y be (1 + -11 - 0)\/(-1). Suppose -7*w + 21 = -0*w. Solve -m*r + y = w*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 1.1. Let s = 0.1 - -0.4. Which is the biggest value? (a) 2 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12714 - 12618. Calculate the remainder when t is divided by 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 31 + -2 + 4\/((-12)\/9).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a - 97. Let i be u(-17). Let h be 2 - -3*4\/(-3). Sort h, i, -17 in descending order.\nAnswer: i, h, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + y**3 - 53 + 2*y**4 + 156 - 56 - 53 - y in the form x*y**4 + o + i*y**2 + s*y**3 + r*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 13*s - 6. What is the tens digit of o(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*t + 12*t**4 - 91*t + 87*t**3 - 40*t**3 + 51*t in the form d*t + g*t**4 + n*t**3 + v*t**2 + m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37801.\nAnswer: 103, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100011 - -100101000?\nAnswer: 10001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13670678.\nAnswer: 2, 7, 976477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3606060 rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 917720, 3670935, 8259624, 14683787, 22943424, 33038535?\n\"Answer: 917737*j**2 + 4*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 12*s + 0*s**2 - 13*s. Let x(w) = -20*w**2 + 29*w. Let j(t) = -3*f(t) + x(t). What is the second derivative of j(q) wrt q?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = 0, -6*y - 3*p = -5*y - 13. What is the hundreds digit of 262 - 18\/(y + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486411.\nAnswer: 3, 281, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 777\/(((-6)\/32)\/(9\/(-18))). What is the second derivative of -t + 21*u + 2072 + 44*u**2 wrt u?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q**(-2\/13))\/q)\/q)\/q*q\/q**(-37))\/(q**(-20\/9))**30 assuming q is positive.\nAnswer: q**(4037\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 70?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -39533980 rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*i**3*n**3 + 54*i**3*n + 2*i**3 - 30607*i**2*n**3 - 5*i**2*n + 4*i*n + 11*i wrt n.\nAnswer: 132*i**3*n - 183642*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 = -0*l + l, 3*a + 5*l = 31. Let v(j) = -7 - 5 + 3 - a*j. Let g = 9923 - 9933. Calculate v(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71111\/5 - 14682. Suppose u - 484 = 3*x, 0 = -4*u + x - 365 + 2257. Let i = q + u. What is the common denominator of -28\/5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {w: 3, t: 4, b: 1, y: 4, d: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 935076087 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -17500 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v - 15 + 15 + (-v - v + 3*v)*(-2 + 3 - 3))*(2 + v**2 - 2).\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let p be 5 - 0 - (-3 + 0). Suppose -80*n = -84*n + p. Let w(b) = n*b - 108 - 3*b + 119. Calculate w(c(l)).\nAnswer: l + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13110321033021 - 2?\nAnswer: -13110321033023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.49 + 2.61. Let t = 5.0999841 - f. Round t to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850 + 2959 = 131*m - 2564 - 12226 for m.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31134 (base 7) in base 13?\nAnswer: -3612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23, 2 in increasing order.\nAnswer: -23, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*j + 26, 11 + 6 = v - 4*j. Let p = v - -5. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 4. Let k be x(0). Let q(w) = 24*w - 17. Let t be q(-5). Let f = t - -140. Sort -5, 5, f, k.\nAnswer: -5, k, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/63 + (-45)\/63*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 2 + -1 - 2. Suppose -96 - 99 = -39*k. Put h, 2, 0, k in increasing order.\nAnswer: h, 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 706 - 1?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 55, 137, 227, 325, 431, 545?\n\"Answer: 4*s**2 + 70*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276 or -271?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 4*d**2 + 2*d + (d + d + d)*(-d - 3*d + 3*d) to the form j + s*d + m*d**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 9) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*z**2 - 125*z**2 + 5*z - 365*z**2 + 154*z**2 in the form x*z + a + j*z**2 and give j.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 39*z**2 + 370*z + 49. Let m be i(-23). What is the third smallest value in m, -4\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -939339.3921 to the nearest 10.\nAnswer: -939340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 1, -29*v - 109626 = -3*b - 26*v. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -1 (c) 0.09 (d) -0.48 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 5*s**2 + 3*s - 24. Let l be ((-6)\/7)\/((-12)\/(-84)). Let m be x(l). Is -3 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -172, -669, -1498, -2659, -4152?\n\"Answer: -166*t**2 + t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 524527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 107684681, 107684675, 107684667, 107684657, 107684645, 107684631?\n\"Answer: -z**2 - 3*z + 107684685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -262 divided by -5\nAnswer: 262\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d + 0*d + 16*d**2 - 5*d**2 - 7*d**2. Let c(u) = -u. Calculate 4*c(p) - k(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u**2 - 2. Let t(g) be the first derivative of -g**3\/3 + 16. Calculate -p(z) - 6*t(z).\nAnswer: -3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -1, 7\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23\/4 + -6. Suppose 0 = 3*o - 7*o. Put -1, o, t in ascending order.\nAnswer: -1, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -555 + -6231?\nAnswer: -7006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-91 - 11)\/(-2 - 0).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.083762l in millilitres?\nAnswer: 7083.762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 20. Let z be o(18). Let b be (4 - z\/(-12))*285\/(-10). Suppose -420 = -23*d + b*d. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/175*70*(-3)\/18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1123160\/271 or -4146?\nAnswer: -4146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 68, 246, 532, 926?\n\"Answer: 54*u**2 + 16*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 0*u - 15 = k, 2*u - 9 = 5*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17140 and 217472?\nAnswer: 931867520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/52 and 29\/10301.\nAnswer: 535652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 12. Let a be q(-12). Suppose -51 = -x + 5*o, a = -x - o - o + 65. Calculate the remainder when x is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*y + 84*y + y + 4708 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzdzzjjdzzp. Give prob of sequence dp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 1 - 1 + (2 + 1 - 2)*(2*i - i + i) + (i + i - i)*(0 + 5 - 4) + 2*i - 2 + 2 + i - i + 2*i in the form r*i + q and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 23. Suppose -3*g = 4*x - 90, -2*g - k = -2. Let y = -16 + x. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106704*j**3*y + 4*j**3 + 27*j*y + 32915223 with respect to y.\nAnswer: -106704*j**3 + 27*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.19624 and 215.885.\nAnswer: 213.68876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.094 - 3.574. Let w = -0.48 - h. Which is the biggest value? (a) -0.009 (b) 2\/13 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 10:56 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s**2 + 0 + 1 + 4*s + s**3 - 15*s - 7. Let z be w(11). Suppose -5*i - 5*q = -155, 0 = i + 3*i + q - z. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78072 and 2014.\nAnswer: 78618504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4553598.\nAnswer: 2, 3, 7, 181, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/16)*l**(-3\/2)\/l*l)**(-19) assuming l is positive.\nAnswer: l**(209\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 2*r**2 + 7*r - 7. What is the tens digit of k(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*c - 40 = -4*c, -2*n + c = -3. Let u = n + -4. Suppose u = 14*q - 9*q - 50. What is the greatest common divisor of q and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4066*d + 182979. Give a(45).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 14, 0 in decreasing order.\nAnswer: 14, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -72, -63, -38, 9?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1071002 (base 8) to base 11\nAnswer: 189976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 0*m**3 - m**3 + 0*m**3 - 9*m**2 + 1 - 7. Let h be i(-6). What is the remainder when 3\/(-6)*h\/2 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70330.859 - -69971.858365. Let i = p + 359. What is i rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 - 3*b**2 - 8*b + 101. What is the hundreds digit of m(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 - 214 + 34)*(4*a**2 + 2*a**2 + 2*a**2) + 4*a**2 - 3*a**2 + 0*a**2.\nAnswer: -2127*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(72)\/(sqrt(12) - (sqrt(60)\/(-1*sqrt(5)) + sqrt(12))))\/(sqrt(128) - sqrt(128)*-4*3)*4.\nAnswer: sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 122632517*d**3 + 122632516*d**3 - 3*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 16*z**2 + 2*z - 28. Let l be f(16). Let s(g) = -g**2 + 5*g + 6. Let m be s(6). What is the units digit of 27 + m\/l + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*b + 0*b - 3*b + 4*b - 3*b + 0*b + (-b - b - b)*(-11 - 3 + 3).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 61 + 119 = 0. Suppose -2*j + o = -16. Let t = 30 - j. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, h: 12}. What is prob of sequence hhhh?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 + -1 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -48. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4 - 10058*y**3 - 1446949*y**2 - 14798890*y - 13362000 = 0?\nAnswer: -131, -10, -1, 10200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*y = -172*y + 75. Sort y, 5, 6, 1 in descending order.\nAnswer: 6, 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*g = 0, 4*l - 3*g = -2 + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by -59.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/38 (b) -0.14 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10 = -112*s + 107*s, r + 10 = 2*s. Let i be (-1)\/4 - 57\/12. Let k be i - -2 - 6\/(-2). Which is the nearest to k? (a) -2\/17 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*(2262*s + 1857*s - 3460*s).\nAnswer: 1977*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 1104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 2*s. Let n(c) = -2*c**2 - 3*c. Let b(t) = -3*m(t) - 2*n(t). Let h(z) = -1362*z. What is b(h(x))?\nAnswer: 1855044*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 962347*i*j**2 - 2*i + 12*j**3 - 61770450 wrt j?\nAnswer: 1924694*i*j + 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146326.\nAnswer: 2, 23, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5533 at least as big as -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:39 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1524863128*t**5*v**3 - 10752*t**2*v**2 + 3024*v**3 wrt t.\nAnswer: 91491787680*t**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/6 - 2\/(-4). Suppose 4*d + 17 = -5*p, -4*p - 3 - 9 = 4*d. Let k(i) = 8*i - 1. Let x(h) = -2*h. Give c*x(q) + d*k(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27481 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 305 - 118?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 10*g**2 - 11*g. Let r be o(11). Let x be ((r*1\/(-3))\/(-2))\/(-3). Solve 0 = 2*b, x - 5 = -5*y - b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32496400 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 4 = 4*y. Solve 0*w + 13 = q + y*w, -2*q = -5*w + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - z**2 - 1 + 12*z**2 + 326 - 326 + (-z**2 + 2*z**2 - 2*z**2)*(-1 - 3 + 3) + 2*z**2 - 3*z**2 + 0*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1202*p**2 + 25*p + 1200*p**2 - 24*p - 3681 in the form b*p**2 + g + k*p and give g.\nAnswer: -3681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 526639454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*h**2)*(-10*h**2 + 8 - 8) - h**4 + h**4 - 2*h**4 - 2*h**4 + 6*h**4 + 0*h**4 to l*h**3 + r*h**2 + b*h**4 + q*h + d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9056 divided by 6\nAnswer: 4528\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -12 + 4\/2. Suppose -4 = -12*q + 13*q. Let a be ((-14)\/p)\/(q\/(-60)). Solve -1 + a = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*1\/(-4). Let d = -9 - -1. Let j(f) = -2*f - 12. Let o be j(d). Which is the second biggest value? (a) -0.1 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8 - (-2 + (-62)\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from aeeeeeaaeekaak.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:00 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 0.1 (c) 4\/21 (d) 1\/8 (e) 4 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46193*c*x**2 + 105*c*x - 11*c + 404*x**2 - 3003*x - 3 wrt x?\nAnswer: 92386*c + 808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmomfjlmmrmfrlm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16231b (base 12) in base 13?\nAnswer: -102893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 4388895.\nAnswer: 8777790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 - 5*s + 4. Let m(b) be the second derivative of -b**4\/6 - b**3\/3 + b**2 + 342*b. Determine -5*m(z) + 2*r(z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.1 (c) 2.8 (d) 6 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 2. Let u(p) = p**3 - 6*p**2 - p + 7. Suppose -m - 4*f + 7 = 1, -4*m + f + 24 = 0. Let o be u(m). What is the closest to o in -1, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcr when three letters picked without replacement from rrc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 16*g - 64. Let h be t(20). Suppose -h*u + 2541 = 1053. Calculate the remainder when 174 is divided by u.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1031, 3, 1, 17, -5, -105 in ascending order.\nAnswer: -105, -5, 1, 3, 17, 1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0 - 5 + 0 + 2*k. Let t be j(4). Suppose -5*l - 18 - 27 = -t*n, -3*l = 9. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.109 - 141.491. What is o rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 12 = -4*y - i, -4*i + 6 = -y. Suppose 0 = 2*d - 2 - y. Solve -d*z + 5*h = -41, -2*z + 5*h + 45 = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 + -132. What is the smallest common multiple of q and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**4 - 2*f**4 - f**4 + (2*f + 3*f**3 - 2*f)*(-4*f + f + f) + 23*f**2 - 23*f**2 + 25*f**4 in the form g*f**3 + y*f**2 + h + j*f**4 + s*f and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*k + 5*x, 2*x = 5*k + 21 - 47. Factor 1\/2*j**3 - 1\/2*j + 1\/2 - 1\/2*j**k.\nAnswer: (j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58274 (base 10) to base 15\nAnswer: 123ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, p: 5}. Give prob of sequence qpqp.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, -8, -14, -20, -26, -32?\n\"Answer: -6*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18576497, -37152993, -55729489, -74305985, -92882481?\n\"Answer: -18576496*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916848 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24127\/9 - 2684. What is the common denominator of h and -70\/99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 143 - 19 = 0. Let p = 34 + k. Factor -9\/5*v**2 + v**p - 2\/5 + 7\/5*v - 1\/5*v**4.\nAnswer: -(v - 2)*(v - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -397 + 390 + -1 + 1 + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 5:53 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -174 at most 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.267508 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19530.39 * 25\nAnswer: 488259.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 4*c + 12. Let l(m) = m**2 - 8*m + 6. Let u be l(c). Let v(p) = -p**2 - 6*p + 7. Give v(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643096707?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*m - 47 = 0, 4*m - 7 = -3*x + 27. Suppose 0 = 4*c + 1036 - 156. Let h = 258 + c. What is the remainder when h is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -18*s + 22. Suppose -k = 31 - 26. List the prime factors of p(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38483 is divided by 621?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -137? (a) 973 (b) 11.3 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - w - 18 = 0, -5*d - w + 6*w = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/2 - 85*s**4\/4 - 37*s**3\/4 + 52*s**2 - 21*s = 0 for s.\nAnswer: -42, -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -871*k**3 - 2482*k**2 + 3926*k. Differentiate c(b) wrt b.\nAnswer: -5226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.036 - 0.016. Let y = r + -0.02. Which is smaller: 3\/5 or y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 143*y - 278*y + 9 + 15*y**2 + 135*y.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 443\/3660 - -3\/244. Let f(q) be the first derivative of 1\/5*q**2 - l*q**3 - 3 + 0*q. Factor f(x).\nAnswer: -2*x*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/57)*k*k\/k**(1\/34)*(k**(-7)\/k)\/(k*(k\/(k*(k\/(k*k\/(k**(-15\/2)\/k)))\/k*k*k*k*k))\/k) assuming k is positive.\nAnswer: k**(-12175\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - 17. Let k be 8\/10 + (-9)\/o. Solve k = -4*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 822309043*b**3 + 132323*b**2 + 255.\nAnswer: 4933854258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 29*g = -572. What is the derivative of 4*b - g*b**2 - 29 + 27 + 16*b**2 wrt b?\nAnswer: -56*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15034807*k**5 + 2*k**3 + 8*k**2 + 29893*k.\nAnswer: -902088420*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y = 61*y - 778509. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001004126 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 2*q - 1. Let x be i(-2). Let b be (-2)\/x - (-8)\/3. Suppose -b*g = -0*g - 48. Solve 4 = j, -3*n + 4*j + 8 = g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 5*x - 3. Let j be b(-3). Suppose -4*n - 5*v + 3096 = 0, -2*n - j*v = -934 - 614. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 91?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqiqqqiqxxqqqvjq. What is prob of picking 1 x and 1 v?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/15)*l**3)**(-27) assuming l is positive.\nAnswer: l**(-558\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1765, -4, -149 in decreasing order.\nAnswer: 1765, 28, -4, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1320200 (base 4) to base 16\nAnswer: 1e20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 2:27 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2659, 5320, 7989, 10672, 13375, 16104?\nAnswer: 18865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 10*a - 7*z + 3*z + 194, -2*a - 288*z = -3*a - 14398 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-5)\/2)*-8. Let j = -2 - -2. Let p = i + j. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 22.6.\nAnswer: 20.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5*j**2 - 68*f**5*j + 26*f*j**2 - 9*f*j wrt f?\nAnswer: -20*f**3*j**2 - 1360*f**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 167100 and 636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2573, 28, 11 in decreasing order.\nAnswer: 28, 11, -2573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (85704\/(-32))\/((-33)\/44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*y + 71 = 127*y - 373. Suppose 3*z - 3 = 2*z. Suppose 4*c + 16 = 0, -c + 15 + z = y*j. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59515, -59538, -59561, -59584?\nAnswer: -59607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2205 and 44\/135.\nAnswer: 6615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**2 + 53*k - 54. What is the least common multiple of m(-17) and 695?\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*(d*d*(d\/(d\/(d\/(d\/(d*d*d**(-5)*d)))))\/d*d*d)\/d)\/((d*d**(-1\/3)*d)\/d)**(-4\/13) assuming d is positive.\nAnswer: d**(-148\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/(-10759)*106)\/((-4)\/(-301))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8540, -33860, -76028, -135044, -210908?\nAnswer: -303620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 780\/7 or -0.4?\nAnswer: 780\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*i**2\/9 - 61*i\/3 + 14\/9.\nAnswer: (i - 14)*(13*i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 2*g**2 + g + 2. Let w(m) = -1. Suppose -2*q = s, 0*q + 9 = -q + 4*s. Let k = -159 - -200. Suppose 3 = 19*n + k. Calculate n*w(p) + q*f(p).\nAnswer: p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.137 times -10936\nAnswer: -1498.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32049 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/7 (b) -145 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -417 + 413. Calculate the smallest common multiple of 80 and 30*((-28)\/s + -6).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 5*u**2 + 1102152*u**3 - 1102110*u**3.\nAnswer: 42*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -51, -74, -97?\n\"Answer: -23*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 38594032.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 195, 297, 403, 513?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 8*s + 9. Suppose 6 = 4*l + 42. Give y(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 220105322, 220105321, 220105320, 220105319, 220105318, 220105317?\n\"Answer: -j + 220105323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (44 + -43 - -8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 0 in descending order.\nAnswer: 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248927 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o - 150 = 0. Suppose -105 = -3*j + o. Calculate the remainder when j is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31352863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - z**3 + z**3)*(9*z**2 + 0*z**2 - 8*z**2 + 2).\nAnswer: -2*z**5 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/5)*d\/(d**7*d))\/(((d*d*d**(-2))\/d)\/d**(2\/29)))\/((d**1*d\/(d\/d**(-3)))\/(((d\/d**(2\/19))\/d)\/(d\/(d*d**(-2\/27))))) assuming d is positive.\nAnswer: d**(-201611\/74385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**1)\/l))**(-36)*(l*l**5*l)\/(l**6\/l*l) assuming l is positive.\nAnswer: l**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*l - 5 = 4*l, 2*w = l - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/14 and 43\/55316.\nAnswer: 387212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 232 + -98. Let l = 70 - h. Is l greater than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flvvllttlllf. What is prob of picking 2 l and 1 v?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 525, 2182, 4969, 8904, 14005, 20290, 27777?\n\"Answer: 3*a**3 + 547*a**2 - 5*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16750 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 = 52*l - 2733. What is the remainder when l is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 - i**4 + 13*i**4 - 6*i**4)*(-i + i - 2*i + (2 - 2 - 2*i)*(-2 + 2 + 2) - i + 2*i + 0*i + 1 + i - 1 - i - 3*i + 5*i + 5*i - i - 2*i).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-3 - 1) + 14. Solve s + 2*s - a = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7088 + 7087.99988746. What is g rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 88, 80, 60, 22, -40, -132, -260?\n\"Answer: -o**3 - o + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -414 - -404. Put -4, 3, v in descending order.\nAnswer: 3, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 506946*u**3 + 23434063*u**2?\nAnswer: 3041676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**5\/20 - 4*m**2. Let f(v) = v**2. Determine f(q(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**3 - 4*u**2 + u - 8. Let i(c) = -c**3 + c + 1. Let o(d) = -6*d + 59. Let h be o(9). Let w(a) = h*i(a) + n(a). Is w(4) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:19 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 93872 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ktvrvttkrkvrr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45336 is divided by 22665.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*4\/64*(2 - -2). Let a = -63.4 + 55. Let n = 8 + a. What is the nearest to -0.6 in c, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-14))\/(10\/35). Suppose 2*q - q + 5 = 0. Let n be (-4)\/q + 252\/60. Sort o, n, 2, 0 in decreasing order.\nAnswer: n, o, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - y - 1 = 0, 2*c - 4*y - 16 = -42. Let i = c + 2. Let f = 6 + i. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 9*u - 20*u + 14)*(-17*u - 4 + 5 + 0).\nAnswer: 493*u**2 - 12*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = 33*p. What is the closest to 1 in -2, -4\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 5 - 49 = 4*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/33*22\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 2 - 3)*(-25)\/20. Let a(l) = l**3 - 7*l**2 + 12*l - 1. Let z be a(j). Find the first derivative of 4*x**3 - z*x**3 - 8 + 11*x**3 wrt x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 476, 926, 1554?\nAnswer: 2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 7\/5 (c) -1\/64 (d) 20\/19 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4 - 4 - r. Let b(s) = -11 + 5*s - 15 + 43 - 3*s - 12. Determine n(b(i)).\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b + 6 = 0, 2*b - 4 = -2*k. Suppose 2*o - g - 8 = -6*g, k*g - 1 = -o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/6*-1 - (1593712\/(-24) + 2).\nAnswer: 66403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 536104 by 526.\nAnswer: 268052\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5586 in -3, 0.3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/70*-8*-1*70\/(-260)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -22. Suppose -7*y - p = -485. Suppose -9*o + 0*o = -y. Let z(r) = r - 15. Give z(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84.126 - -84. Let b = 0.17 + x. What is b rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9290 + 9288. Put -11, y, 5, -7, -4 in descending order.\nAnswer: 5, y, -4, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/11 - 1814*t**2\/11 - 3620*t\/11.\nAnswer: -2*t*(t + 2)*(t + 905)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (168\/18)\/((-4)\/(-6)). Suppose w - t = 20. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 44*c - 2278. Calculate the remainder when 915 is divided by l(56).\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207 + 6*m - 107 - m - 100 + 3*m**2 to v + x*m + u*m**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 93. Let q be -1 + t\/(-13) - 42\/273. Suppose -q*w + 588 = 3*k, 4*k + 6 = -10. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 9 = 2*y + 2*u, 2*u - 4 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 2402 - 2402.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(-2\/7)*u)**(1\/3))**(1\/2)\/((((((u*u**2\/u*u*u)\/u*u*u)\/u)\/u)\/u**(-2))\/(u**(-1\/7)*u*u\/(u*((u**(1\/5)\/u)\/u)\/u)*u)) assuming u is positive.\nAnswer: u**(29\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 92, 302, 658, 1166, 1832?\n\"Answer: c**3 + 67*c**2 + 2*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28987495 is divided by 235.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171601532?\nAnswer: 2, 42900383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2075)\/830*(-1)\/3*2)\/((-65)\/273).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311100 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 1460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*-1*(-2)\/(-4). Let y be (-2)\/s - (-70)\/21. Suppose -3*v - j + 0 = -4, 4*v - 6 = -j. Solve -b + 5 = 3, -y*w - 1 = -v*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1947535766 - -0.053.\nAnswer: 1947535766.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5605 = r - 5564 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2590512 and 10208?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 431 - 151. List the prime factors of x.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000199 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 5505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p + 356 = -4*k, 0 = 4*k - 3*p + 363. Let s = k - -136. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3365740 divided by -480820?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1522, 12361, 41838, 99271, 193978?\nAnswer: 335277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7176*k - 4461*k - 4505*k as m*k + y and give m.\nAnswer: -1790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 8. Let j(b) = -2*b - 8. Let k be j(g). Solve -11 = -5*r + 4*h, -h + 16 - 3 = k*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0856739l to millilitres.\nAnswer: 85.6739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -1 + 2\/5*y**5 - 4\/3*y**3 + 0*y**2 + 2*y + 0*y**4. Suppose n(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 221 + -224. Let h be (-53)\/159 - -1*(-16)\/s. Suppose v - 6 = -4. Solve -3*u + v*u = h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.8 - -4.2. Let q = v - 13. Let g = q + -4.9999998. Round g to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 638316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32156 (base 7) in base 9?\nAnswer: 11845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 83846, 82037, 79018, 74789?\n\"Answer: -605*c**2 + 6*c + 84445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 96\/11 (b) -4 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.44 + 0.215. Let x = 0.23521 + r. Round x to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2632*m - 1566*m + 878*m - 237168 for m.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-24)\/9*(-3021)\/21412 and -33\/7.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*w - 181, -3*w - 86 - 60 = -4*x. Calculate the greatest common factor of 875 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30103 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 923*k**2 + 62 - 62 - 915*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2\/7, 0.3, -5125\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 22102?\nAnswer: 22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1290725 times -3\nAnswer: -3872175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -3*g**5\/70 - 4*g**4\/21 - g**3\/3 - 2*g**2\/7 + 6*g. Find p, given that t(p) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 3546\/312 + 4. Let d = -216\/13 + y. Which is the smallest value? (a) 0.03 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4012, 4015, 4018, 4021, 4024?\nAnswer: 4027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.635 + -0.065. Which is the nearest to 2\/5? (a) 0 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/(7686\/(-360))*7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 5*y**2 + 4*y + 3. Let n be w(-4). Suppose 1 + n = 4*h. What are the prime factors of h\/(69\/(-35) + 2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61540000 rounded to the nearest one million?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 3, -64, -21 in ascending order.\nAnswer: -64, -21, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*r = -8 + 27, -r - 28 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25117 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 0*s + 4*s. Let z(w) = -260211*w + 260211*w - 19*w**2. Calculate z(b(u)).\nAnswer: -171*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 1 - w**2 - w**2)*(12*w - 7*w - 24*w**2 - 6*w).\nAnswer: 96*w**4 + 4*w**3 + 24*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -747, -1971, -3667, -5835, -8475, -11587, -15171?\nAnswer: -19227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 243*m - 1944. Let f be l(8). Which is the nearest to 1\/4? (a) 5\/44 (b) f (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 148*n**2 + 188. Let d(a) = 74*a**2 + 95. Let k(j) = j**3 + 4*j**2 + 5*j + 6. Let q be k(-4). Let u(w) = q*d(w) + 6*b(w). Differentiate u(r) wrt r.\nAnswer: -296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -0.3, -3, -15149, -1\/7, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 16*c**3 - 10*c**2 - 10*c + 4. Let s be ((-48)\/14)\/(140\/(-490)). Let i(k) = k**3 - k**2 - k. Determine s*i(v) - b(v).\nAnswer: -4*v**3 - 2*v**2 - 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*o - 29 = 0, -o - 13 = -3*j - 6*o. Let z = -0.4 + 0. Which is the nearest to -1.1? (a) -0.1 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2094.43 - 0.0364310508.\nAnswer: 2094.3935689492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i**2 + 24*i + 25. Let r(q) = 5*q**2 + 12*q + 12. Let p(s) = 13*r(s) - 6*y(s). Let l be p(8). Suppose -l = -2*v - 2. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 51, 0.3, 8\/79, 5?\nAnswer: 8\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 - 1091*l**3\/3 - 368*l**2 + 4368*l.\nAnswer: l*(l - 1092)*(l - 3)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q**4 - 1450*q**3 + 75808*q**2 + 2133048*q = 0. Calculate q.\nAnswer: -282, -62\/3, 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37032537 + 5?\nAnswer: 37032544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112.1 - 98. Let q = 14 - b. What is the nearest to -2\/7 in q, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(420\/(-24))\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 8*u - 18. Sort -1\/3, u, -0.4, -12 in descending order.\nAnswer: -1\/3, -0.4, u, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3722 + -3?\nAnswer: 371b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + 7*q**3 - 1 - 6*q**3 as j*q**2 + w*q**3 + c + f*q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 + (1695\/450)\/((-11)\/(-55)) + -16.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, 35, 0, -125 in descending order.\nAnswer: 35, 5, 0, -3, -5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3752, 3749, 3744, 3737?\n\"Answer: -c**2 + 3753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27296 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -28574816 < -28574827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/336 and -113\/3150.\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48457.\nAnswer: 47, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 5. Let m be c(-3). Let t(r) = -6*r - 6 - 7 - m*r. Is t(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 16*q - 6*q - 40 - q + 35*q. What are the prime factors of o(7)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 629 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1988.035 millilitres to litres.\nAnswer: 1.988035","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, w: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16635*0.3924.\nAnswer: -6527.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -11. Let a be (-10)\/3*3\/(-2). Let v = d - a. Solve b = v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(2 + -1)*(-17 - 266\/(-14))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141.97 - 0.97. Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432 a factor of 11592994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5274317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p - 4*p + 3*p**2)*(2005 - 979 - 22 + 1755) to k + x*p**2 + d*p and give x.\nAnswer: 8277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 4*r + 17*r. Let g(t) = 9*t - 105. Let c(q) = q - 13. Let x(n) = 33*c(n) - 4*g(n). Calculate the remainder when 27 is divided by x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 101*x + 11. Let k(f) = -1194*f - 132. Let c(o) = 12*h(o) + k(o). Let r(p) = -p**2 + p**2 + 2*p**2. Calculate r(c(t)).\nAnswer: 648*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*o**3*t - 106*o**3 wrt t.\nAnswer: 102*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m + 4*k + k, 5*k + 45 = -5*m. Let n(p) = -p - 14. Determine n(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/30)\/((-10)\/25).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwlm when four letters picked without replacement from {m: 3, l: 5, f: 8, w: 2, r: 1}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 51*o + 2. Let m(c) = -25*c - 1. Let q(b) = -9*m(b) - 4*x(b). What is the units digit of q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895268.6 years to centuries.\nAnswer: 8952.686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -0.09 (c) -7.6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 12:10 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 12*k**2 + 44*k + 166. Does 8 divide s(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*y**2 + 23*y**3 + 4*y**2 - 4*y**2 + 9*y**3 wrt y?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 2, -4 in descending order.\nAnswer: 2, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 638263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*v - 1. Let k(x) = -10*x - 16. Let o(z) = 3*z + 5. What is v*o(h) - 2*k(h)?\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g + 15. Calculate d(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -95*i**2 + 65. Let u(x) = 3*x**2 - 2. Let r(p) = 6*k(p) + 195*u(p). Let c(h) = -h. What is r(c(d))?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 381564, 381563, 381562?\n\"Answer: -y + 381565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/9, -0.13, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 + 32b?\nAnswer: 2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 387 = j. Suppose 3*p = 15 + j. Let z = p - 47. What is the smallest common multiple of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47561*s**3 + 3*s**2 - 338308*s.\nAnswer: 285366*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 - 3*a. What is t(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 60. Suppose -4*q - 21 = -p*b - 105, -76 = -3*q - 5*b. Suppose -64 = -3*x + 5*v, -v - q + 2 = -x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -5. Let x = -2283.7 - -2284. Let n(k) = k + 2. Let v be n(0). What is the second biggest value in z, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + u**2 + 2*u + 1. Let a(p) = -4698*p**3 + 7*p**2 + 10*p + 5. What is -a(h) + 5*v(h)?\nAnswer: 4703*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 10362?\nAnswer: 62172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*y + 7 = -4*y, -2*t = 2*y - 44. Suppose -3*j = -t - 4. Calculate the remainder when j is divided by 6*(-4)\/18*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -139*g**2 + 20*g + 70*g**2 - 67 + 7 + 74*g**2.\nAnswer: 5*(g - 2)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 18*u = -68. Let l(k) = 16 + 21 - 36 + u*k. Calculate l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879*a - 877*a = 1256. What are the prime factors of a?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = -v. Suppose v*m = 7*m + 231. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = x - 110, 5*y + 0*y + 3*x = -110. Let f be 4\/y + 321\/11. Let m = f + -14. What is the greatest common divisor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 2:42 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*d**2 - 115*d + 15 = 0 for d.\nAnswer: -3, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -231.6 - -334.69. Let d = -104 + c. Round d to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8715*w**2 + 78456*w - 189. Give d(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 4*u + 1. Let n be a(5). Suppose n*i - 15 = 3*i. Suppose 0*p = -2*z + p + 14, -i*z = 5*p - 50. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*f - 649, -5*u - 3*f + 867 = 22. Let m = 1\/86 + 2191\/172. What is the common denominator of (-9 + (-923)\/(-104))*u\/2 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1434201 + 1?\nAnswer: -1434200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - y - 65. Let h be (11\/110 + 3\/6)\/(1\/10). Give j(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 0.03718\nAnswer: -0.22308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34427827 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.87426 decades to years.\nAnswer: 238.7426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-83)*(-6)\/12. Let z = 187\/581 - t. Is z at least 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(336) + 4*sqrt(336)*4)\/(sqrt(42)\/(sqrt(486)*5)).\nAnswer: -5 + 3060*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 186*r**2 + 57 wrt r.\nAnswer: 372*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -96, -6, 7, -17, 1, -4 in decreasing order.\nAnswer: 7, 4, 1, -4, -6, -17, -96","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3042 is divided by 208?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (380\/28)\/5*5\/(-15)*-42?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6128 + -1.3872. Put 11, -2\/3, s, 4 in descending order.\nAnswer: 11, 4, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 429.3, -16\/5, 1, 4, 0.08, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380634815.\nAnswer: 5, 11, 61, 113453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7378152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 1, p: 6, u: 2}. What is prob of sequence up?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3190 + -3151. Calculate the remainder when 422 is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547219996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8513 or 2\/3?\nAnswer: 8513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6173628 + -5?\nAnswer: -7.6173628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*l + 126 - 126 + 50*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c = -45*c - 95 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Let g be q*244\/16*-2. Let h = g - -87. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2196349139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5\/2))**47*(w**(-34))**(2\/113) assuming w is positive.\nAnswer: w**(-16069\/226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*s - 68. Let d be (s\/(-2))\/3 - -134. Let f = d - 78. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14 + -24.14. Let x = 28.8 + -5.6. Let l = x + b. Round l to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = -20. Which is the closest to -0.1? (a) 4\/3 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 235\/18 + -85\/6. Let b be 4 + 13\/((-52)\/24). Is c less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -944, 4, -30 in descending order.\nAnswer: 5, 4, 1, -30, -944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -v + 4, -2*i - 12 = -2*v + v. Let g(m) = -m + 16. What are the prime factors of g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 86142.9 and -0.05.\nAnswer: -4307.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 89, -369\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 12:38 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 - 4416*o**3 - 150220*o**2 + 154632*o = 0.\nAnswer: -34, 0, 1, 1137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85*m - 274*m + 4*m)*(-43*m**2 + 43*m**2 + 5*m**3) - 4 + 4 - m**4 to the form k + l*m**3 + i*m**4 + t*m + p*m**2 and give i.\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 53158, 106314, 159470, 212626, 265782?\n\"Answer: 53156*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1873 = 4*k - 3*d, 0 = 3*k + d - 1484 + 76. Suppose -6240 = 7*s + 13*s. Let w = k + s. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 13. Let h = -1460.983 - -2.983. Let w = -1461 - h. Which is the second biggest value? (a) 0.3 (b) z (c) -4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1057, 4217, 9473, 16819, 26249, 37757, 51337, 66983?\n\"Answer: -d**3 + 1054*d**2 + 5*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o. Let q(n) be the first derivative of -n**3\/6 - n - 2. Let y(j) be the first derivative of q(j). Calculate y(u(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0326292 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59925, 59943, 59961, 59979, 59997, 60015?\nAnswer: 60033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 432 = -12*p. Let g = p - -82. Suppose -g + 25 = 3*n. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/30 and 10\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 368, 0.2, 0.14, 2, -0.32.\nAnswer: -0.32, 0.14, 0.2, 2, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 6. Let d be o(-6). Suppose -1125*n = -184*n + 1882. Sort n, -5, d, 3 in increasing order.\nAnswer: -5, n, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6034*g - 532*g - 538*g + 7106*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 174 (c) 8 (d) 0.4 (e) 4\/9 (f) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 13*n**2 + 12*n - 11. Suppose 30*f = 16*f - 168. Calculate w(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166294?\nAnswer: 2, 17, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 318.0307 - 0.0307. Let z = h + -317.9999647. Round z to 6 dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 5*x**2 + 5*x + 5. Let p be l(-4). Suppose -16*v = 39737 - 39769. Solve -z + 4 = -3*c - v, z + 2*c = p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4)*(2 - 6*r - 2)*(r + 3*r - 5*r) as j*r**2 + y + f*r and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69 - 189?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 814.4192 millilitres in litres?\nAnswer: 0.8144192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00411858251 to six decimal places.\nAnswer: 0.004119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d + 4*n, 0*d - 3*d = 4*n + 6. Let u be 3\/d*(-6)\/(-21). Which is the closest to 2\/3? (a) 0.7 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 2*f**3 - 3*f**4 - 2 + f**4 - f**4 - f**2 - 5*f**3 in the form a*f**4 + z + s*f**3 + d*f + b*f**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + -0.5. Which is the closest to -1? (a) -0.3 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 7*i - 3. Let w be m(7). Let c be (2\/w)\/(66\/(-54)). Is c at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t)\/(t\/(t**(-7)*t))*(t**0)**(-3\/17))\/((t\/(t**(-10)*t))\/(t**(-2\/9)*t*t))**(24\/7) assuming t is positive.\nAnswer: t**(-718\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47 minus -8?\nAnswer: 6.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -2*t, -2*t - 3*t - 5*y = 0. Let m be (-2)\/14*7\/t*78. Let j(o) = 41 + o - 80 + m. Let s(c) = -c. Determine j(s(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -1147.\nAnswer: 7\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 75387 - 2760*k + k**2 + 400713.\nAnswer: 4*(k - 345)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28 - -11) + 6 - 1) + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 48 + (50 - 71)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*n + 10609 = 0, 4*a - 331*n = -333*n - 21158. Is -5292 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + 3*102\/72. Suppose -p*o + 67 + 37 = 0. Let b(h) = -o - 2*h**2 + 2*h - 34 + 59. Determine b(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + ((-5)\/(-4))\/(20\/80).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from hchhhchhch.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/((-4)\/(-24)). Let y be (-6)\/(n + (-4 - -1)). Let g = y + -4. Solve g*b + 0*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13147883*d**4 - 98*d**2 + 39*d - 78 wrt d.\nAnswer: 315549192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 75, 105, 157, 237, 351, 505, 705?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + l**2 - 8*l - 13. Give v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 5:48 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 18. Let a(w) = -10*w - 63. Let q(j) = -2*a(j) + 7*y(j). Let s be -2*(0 - -1) + 4. Let v(i) = 3*i - i**s - 3*i. Calculate v(q(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**6\/15 - 4*w**5\/5 + 7*w**4\/2 - 22*w**3\/3 + 8*w**2 + 39*w. Factor k(a).\nAnswer: 2*(a - 4)*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n - 2*n**2 + n**2 - n**3 + 3 - 3*n**2. Let m be s(-5). Suppose -4*v + 7*v - 4*o = m, -4*v = -2*o - 14. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*v + 9, -3 = -6*v + 3*v. Let j = 6 - 1. Suppose -r - p*r + j*t = -492, -2*r + 252 = -4*t. What are the prime factors of r?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/(2\/(-20)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**5\/2 + 25*w**4\/2 - 5*w**3\/2 - 105*w**2\/2 + 45*w = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:18 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 91, 126, 161, 196?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36891 - 17918. 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 107*o**2 + 38*o**2 - 2*o - 4 + 4.\nAnswer: 145*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3 + 1458*k**2 + 210981*k - 7271460 = 0. What is k?\nAnswer: -140, 29, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 2*u + 2*u**2. Let f(g) be the second derivative of -5*g**4\/12 + 11*g. What is f(s(c))?\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -44052.3073 rounded to the nearest ten?\nAnswer: -44050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + g + 2. Let j be p(-2). Let w(r) = -3*r + 8. Let n(z) = 5*z - 12. Let t(f) = j*w(f) - 5*n(f). What are the prime factors of t(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 47*t + 20*t**2 + t**3 - 6*t**3 + 15*t + t**3 = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 525 - 524.6. Which is the smallest value? (a) t (b) 0.8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36\/401? (a) -2\/9 (b) 0.1 (c) 35 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 7*o**2 + o + 10. Let r be z(-7). Let j(y) = y**2 + 9*y + 4. Let n be j(-9). Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/217 - 14\/(-217)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 5. Let n be p(-2). Let d = 98 + n. List the prime factors of d.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j - 2 = 0. Let m = 2 - j. Let k(f) = f**3 + 4*f**2 + f - 3. Let n be k(-3). Solve 2*u = -m*u - 4*h - 2, -n*u = -4*h - 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(9*x**2 + 15 - 15).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75919 = -3286*g + 19375 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1667, 37975, 104047, 196549, 315481?\nAnswer: 460843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*g + p + 15, -3*g - 27 = 3*p. Let t(y) = 59 + 74*y**2 - 11*y - 75*y**2 - 67. List the prime factors of t(g).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - c**2)*(1 + 0 - 2*c + 1) + (c - c + 2*c)*(0*c**2 + c**2 - 2*c**2) - 4*c**3 - c**3 + c**3.\nAnswer: -4*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/22)\/u))\/u*u**12*u*u*(u*u**(-8)\/u*u)\/u**3 assuming u is positive.\nAnswer: u**(111\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:03 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.979246 centimeters to nanometers.\nAnswer: 39792460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(260)\/(sqrt(405)*-1 + sqrt(5)).\nAnswer: -sqrt(13)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108058 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g**3 - 2*g**2. Let f be q(-2). Let a = -9626 - -134825\/14. Calculate the common denominator of 18\/f + (-366)\/16 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*k - 12444 = 0, -5406 - 7048 = -2*f - 2*k. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178044156 divided by 183173.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**4 + o**4 + 64*o**3 - 39*o**3)*(-13 + 72 + 97 - 25 + 0) to n*o**3 + m*o + t*o**4 + p + u*o**2 and give n.\nAnswer: 3275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thvththxxhxsxsxsvxv. Give prob of picking 2 v.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 57162988 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.29 - -1.31. Let v = w + -1.4. What is the second smallest value in 2\/3, 4, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = f + 5*j - 176, j + 531 = f. Solve -74 + f = -93*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -71. Let l = 35 + w. What is the closest to 0 in l, 0.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820839015 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/6 + 50\/(-75). Let l(h) be the first derivative of h**2 + 0*h + f*h**3 + 5. What is the second derivative of l(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**3*z + 671665*x**3 + 4*x**2*z + 7*x**2 + 12*x*z + 2*z - 60 wrt x.\nAnswer: -6*z + 4029990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2 - 22385004*y - 62636050510002 = 0.\nAnswer: -5596251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2) - -1)*-6. Let l(c) = k*c + 0*c + 2*c. Let y(h) = 8*h**2 - 221*h + 221*h - 6*h**2. What is y(l(p))?\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-21) + 10\/(-3). Put 3, -5, a in decreasing order.\nAnswer: 3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-7)*(0 - 1). What is the closest to 0.11 in 2\/3, 1, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2099*p**3 + 4612*p**3 + 1939*p**3)*(-p + 2*p + p + (4*p - 2*p + 0*p)*(-2 + 2 + 2)).\nAnswer: 51900*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 37 = 4*a, 4*n - 9*a + 8*a = 71. Solve -z = -m, -n = 5*z - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**3 + 30. Let r be (-2)\/((4\/(-54))\/2). Suppose r + 6 = 15*h. Let w(x) = 1 - 4 + h. What is b(o) - 30*w(o)?\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3887\/36 - -1100\/9. Find the common denominator of (183\/24)\/(3\/(-4)) and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 - 174. Let n be 2*(-4)\/(-10)*17\/o. Which is the nearest to 1\/6? (a) -1 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -693\/5 - -139. Let r = 12 + -17. What is the closest to 1\/4 in r, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, p: 3, d: 1, t: 5, r: 1}. What is prob of sequence ptdk?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 15*o + 212. Let p be c(-17). Let h = -214 + p. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 28*d + 52. Give u(20).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 8) to base 7\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/10)\/(-1) + 10\/50. Let t = -0.081 - 4.919. What is the biggest value in t, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - 1 - (-5 - (-2 + 5 - -4)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 2833 = 3*d. Calculate the highest common divisor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 244 (b) 20 (c) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 2, -41 in descending order.\nAnswer: 15, 2, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-291)\/48*1\/(4 - 6) and -59\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -340 - 2?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1269, -2539, -3805, -5067?\n\"Answer: 2*c**2 - 1276*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57177, 229128, 515703, 916896, 1432701?\n\"Answer: -y**3 + 57318*y**2 + 4*y - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416700 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 33. Let d be 2\/(-5) - (-1008)\/(-5). Let l = d + 293. Calculate the greatest common divisor of h and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2993\/5005 - 2\/1001. Put y, -0.3, -1\/14, 0.5 in descending order.\nAnswer: 0.5, -1\/14, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 3*h**2 - 2*h**2)*(-h + h + h) - 2*h**3 + 3*h**3 + 0*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.214, -3\/5, -2\/5, -1\/4 in ascending order.\nAnswer: -3\/5, -2\/5, -1\/4, 0.214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, o: 1, g: 3, p: 4, h: 1}. What is prob of sequence oh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x = -5*h - 95, 5*h = x - 79. Let f(l) = l**3 + 15*l**2 - 5*l - 12. Let t be f(h). Let c = 111 - t. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c - 21*c + 734 = 1549 + 1345 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y - 6 = 0. Let i = y + -2. Let m(b) = b**3 - 7*b**2 + 17*b - 33. What is the remainder when m(5) is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114810258.\nAnswer: 2, 3, 43, 445001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 0)\/(1\/(-2)). Suppose x + 12 = -5*t - 0*x, t = -x - f. Is 9 a factor of 9\/12*t*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -g - 26*v + 31*v, 0 = -2*g + 4*v + 8 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2756624, 2756601, 2756578, 2756555, 2756532?\n\"Answer: -23*u + 2756647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9174.86 nanoseconds?\nAnswer: 0.00917486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s**3 + 9*s - 9*s)*(1 - 3 - 3) - 5*s**3 + 2*s**3 + 2*s**3 to v + u*s**3 + w*s**2 + i*s and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 10*s**2 - 2*s + 14. Determine d(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 + 47748?\nAnswer: 47728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggooosoossozosoozss. What is prob of picking 1 g and 1 z?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45818154*c**2*u**3 + c*u**3 - 3*c*u**2 - c*u - 2*u**3 - 54189*u wrt c?\nAnswer: -91636308*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 + -133. Suppose -1 + 8 = o - h, n = -o - 5*h + 13. Solve 0 = 7*l + o - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 16. Let o(x) be the first derivative of -1\/2*x**2 + 3*x + a. What is o(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 16.\nAnswer: 3, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41380561541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083969505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5788254.\nAnswer: 2, 3, 59, 83, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602924449 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sscs when four letters picked without replacement from {s: 11, c: 9}.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -627?\nAnswer: -313.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -2\/15*z**6 + 0 - 2\/21*z**7 + 0*z**3 + 4\/3*z**4 + 4\/5*z**5 + 0*z**2 - 26*z. Find o such that r(o) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.097 + -0.117. Let i = -3 - -2.72. Let y = z - i. Round y to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1271, -1270, -1269, -1268, -1267?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 11*r**2 - 2*r + 26. Let j be h(12). Let y be (-4 + j\/(-36))*4. Which is the closest to y? (a) 1\/4 (b) -2\/9 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 67*r - 304 = 0. Is 78\/17 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.656438ml?\nAnswer: 0.000656438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1154142 (base 6) to base 15.\nAnswer: 134c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 31*h + 112 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1567.636 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124.53 - -228.53. Sort 5, -0.1, g.\nAnswer: -0.1, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:39 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 5*q + 95121. Suppose q = k + 2*d, -6*d + 10*d = 16. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218874 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 3 - 3 + 2 - b - 2 + (4 - 2 - 1)*(3*b - 5*b + 4*b) + (-5*b + 7*b + 5*b)*(-2 + 8 - 2) to the form u*b + h and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 4914, 16665, 39560, 77313, 133638, 212249?\nAnswer: 316860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363608 and 1661?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 312478000 to the nearest one million.\nAnswer: 312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*t + 70, -3*j + 0*j = -t - 49. Let d be (-12)\/(-54) + 1076\/j. Suppose 0 = -1532*n + 1519*n + 780. What is the greatest common divisor of d and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**3 + 35425*s**2 + 368494360*s - 2656974992880 = 0.\nAnswer: -8619, 7852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**4\/4 + v**2 + 84*v + 139. Differentiate j(p) wrt p.\nAnswer: -3*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-10))\/(r*r\/((r\/(r\/(r*r**(12\/5))))\/r))*((r*r*((r*(r\/r**(7\/3))\/r)\/r)\/r*r)\/r)**(2\/31) assuming r is positive.\nAnswer: r**(5261\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.803 - -3.11\nAnswer: 1.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-27\/2)*p*p**(-2\/13)*p*p\/p**(3\/4) assuming p is positive.\nAnswer: p**(109\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z + 3. Let k(n) = -15*n - 9. Let t(o) = -29*o + 265. Let h be t(9). Determine h*k(m) + 11*i(m).\nAnswer: -5*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/k**0*k*k)))\/k)**29*k**3*k*(k*(k*k\/(k*k**(-1\/5)))\/k)\/k*k*((k\/(k**(-2\/7)\/k))**(1\/47))**(-4\/35) assuming k is positive.\nAnswer: k**(727684\/11515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -33*r**4\/4 - 3. Let l be w(-1). Let g be (-4)\/(-22) + 60\/l. Solve 5 = g*s - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 + 0*y**3 - 2*y**3 + 7*y**3 - y**3 - 4*y**3 + (3*y + 0*y - 2*y)*(2*y**2 + 0 + 0) + 2*y + 2*y**3 - 2*y + 0 + 0 - y**3 + (-2*y**2 - y + y)*(5 + y - 5).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-18)\/189*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 3 - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15262801 (base 9) in base 7?\nAnswer: 121411456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89608910?\nAnswer: 2, 5, 31, 79, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(45)\/sqrt(3))*3)\/sqrt(3)*1 + 5.\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -1, 82 in descending order.\nAnswer: 82, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/((-9)\/3)*(-15)\/(-60)*-9)\/(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w - 5*w**3 - 30*w - 7*w - 47*w.\nAnswer: -5*w**3 - 100*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-one eighths of a kilogram?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21206 is divided by 20997?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 279581783*m**2 + 28008*m - 85?\nAnswer: 559163566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3039100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/30 - k**5\/60 - k**4\/12 - 3518*k**2. Let p(w) = -w**2 - w - 1. Determine -j(g) + 2*p(g).\nAnswer: -4*g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1883 - 3289 = 37*q for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from qwnqf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-g + 3*g + 0*g) + 3*g - 4*g + 3*g + (-1 + 1 + 2*g)*(4 - 4 + 3) + 5*g + 8 - 8 - 2*g + 3*g + g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18470451061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:07 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 12 = a - 15, 9*d + 3*a - 15 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 10*u**2 + 4*u - 26. Let c be l(-12). Let p = c + -202. Calculate the lowest common multiple of 72 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 - 8*z - 9. Let q be t(-4). Let h be q\/(-91) - -649*1\/812. Let m = h + 2031\/232. Find the common denominator of 79\/10 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 778346*i + 1556684.\nAnswer: 2*(i + 2)*(i + 389171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Suppose -4 = -4*u + 3*u. Solve -p - u = -m*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7576.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2 + 28415153*p - 28415154 = 0. What is p?\nAnswer: -28415154, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -284 - -569. What is the highest common factor of 380 and o?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2403 + -5?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-32) + 438\/4. Calculate the lowest common multiple of 278 and j\/20 + 15\/6.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 7. Let v be (-5)\/(-20) - (-217)\/f. What is the remainder when 33 is divided by 2\/(-9) + (-498)\/v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 9930*l + 4 - 9927*l.\nAnswer: 3*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.2 + 0.8. Let q = -0.06 + -3.94. Which is the closest to 2? (a) l (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:26 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444417319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222624 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 8855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(t**3 - 2*t + 2*t + (-3*t**2 - 4*t**2 + 5*t**2)*(t + 0*t + t) - 3*t + 7*t**3 + t - 5*t**3) to h*t**2 + f + r*t + a*t**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y + 8. Let j be u(-1). Suppose 0*a + 4*a - 28 = 0. Let f(n) = -n**2 + a*n**j - 4*n**2. Let d(q) = q**2 - 4*q. What is f(d(o))?\nAnswer: 2*o**4 - 16*o**3 + 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weeh when four letters picked without replacement from pwephwwppwehpeprhphd?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -10. Suppose -7*c + 9*c = s. Let q be (6 + 5\/(-1))\/((-3)\/(-2)). Is q smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2 - 4\/2. Suppose 0 = a, -3*r - 2*r = a + 15. Sort c, 2, r in ascending order.\nAnswer: r, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = -0*c + 30. Suppose 0*k - 28 = -k + 5*o, -4*o - 8 = 4*k. Let x(z) = 11 - 7 + k*z**c - z**2 - 1. Let p(n) = -2*n**2. Give p(x(l)).\nAnswer: -8*l**4 - 24*l**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - j + 1. Let o be s(-2). Suppose 0 = -2*l + 121 - o. What is l rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 2:29 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4418858 rounded to 1 decimal place?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7*b - 5*l + 25 = 0, 3*l - 18 = -4*b. What is the nearest to 0.1 in b, -5, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1977 or -49822?\nAnswer: -49822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + w**2 + 4*w + 4. Let c = -20 + 17. Let l be s(c). Let a = 53 + l. Solve 5 = -6*v + v - 5*n, 0 = -3*v + 3*n - a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*4.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x + 10. Is 6 a factor of n(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 4) to base 14\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6 - -0.6. Is o less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*b + 42, g + 1 = -b + 15. Let z(i) = -g*i + 3 + 6 + 2. Is z(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32674 and 123556?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(1\/7)\/b)*b\/b**(-1\/11)*(b*b\/((b*b**9\/b)\/b*b*b)*b)\/b*(b*b*(b\/(b\/(b*b**4)*b))\/b)\/b assuming b is positive.\nAnswer: b**(-81\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 - 83. Let a be -2*h\/12*2. What is the closest to 0.1 in a, 0.3, -4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1, 216, 2059 in ascending order.\nAnswer: 1, 25, 216, 2059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4058793, 4058808, 4058837, 4058886, 4058961, 4059068?\n\"Answer: f**3 + f**2 + 5*f + 4058786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.242439 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1627 * -68\nAnswer: 110636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-7)\/(-2))\/((-3715)\/1486).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -14. Let p = 10 - 9.7. Which is the second smallest value? (a) k (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5607.479 grams in milligrams?\nAnswer: 5607479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 3 (b) 28\/5 (c) 5 (d) -26 (e) 4\/3 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1424 + 171*m**4 - 1424)*(6 - 1 + 3 + 2) in the form w + x*m**3 + z*m + d*m**4 + y*m**2 and give d.\nAnswer: 1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/(g*g\/g**(2\/3)))\/(g**(-1))**(-43) assuming g is positive.\nAnswer: g**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 31 = -7. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32447 and -32485 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, -0.4, 3.916852 in descending order.\nAnswer: 3.916852, -0.2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1014368537 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 9695*s**3 + 165104*s**2.\nAnswer: -s**2*(s - 17)*(s + 9712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 0*p**2 + 3*p**2 - 2 - 2*p**2. Let s(a) = -4*a**2. Give r(s(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/27)\/(5\/(-90)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3615757664 to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -555? (a) -58 (b) -4 (c) -1\/23 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 10:12 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**6\/780 + 7*f**5\/78 + 109*f**2\/2 + 134. Let u(v) be the second derivative of q(v). Factor u(o).\nAnswer: 2*o**2*(o + 35)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a factor of 50050456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -0.12, -1\/6, 3\/5, -2, -12.\nAnswer: -96, -12, -2, -1\/6, -0.12, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b1 + -8?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1872 - -3223. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 2 + 1 - 5 + 2.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111860943.\nAnswer: 3, 37286981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d. Suppose -25*i + 390 = -10*i. Let z(h) = i*h - 634 + 634. Determine z(l(x)).\nAnswer: -104*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*g + 26, -33 = -3*g + 1090*d - 1087*d for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + p**3)*(p - 2 + 2 + (-5*p - p + 4*p)*(-4 + 4 - 2))*(0 + 8 + 0).\nAnswer: 40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 276\/300 + (-144)\/700?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*l + 4 - 4.\nAnswer: -149*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/24 + 1\/4. Let v = -2\/467 - 3263\/1401. What is the third smallest value in v, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*b + 320, 151*v - 361 = -5*b + 147*v. Calculate the highest common divisor of 2101 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/4)\/(2\/78))\/((-234)\/624)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) 2 (c) 5 (d) -29 (e) -0.5 (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 1432.33478\nAnswer: -1432.31478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 599 - 591. What is the least common multiple of 2 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by 2955251?\nAnswer: -58\/2955251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 9*p - 1. Calculate the remainder when w(5) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:16 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63960173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -300028, 5, 0.5, -2\/9, 1\/3.\nAnswer: -300028, -2\/9, 1\/3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(171) - sqrt(171)) + sqrt(171))\/sqrt(9)*5 + 0.\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a0563 + 41?\nAnswer: -2a0522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**2 + u + 1. Let j(o) = -15*o**3 - 33*o**2 + 3*o + 6. Let l(i) = -4*a(i) + j(i). Give l(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 11, 45, 113, 227, 399, 641, 965?\n\"Answer: 2*k**3 - k**2 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*z - 0*z. Let q = 10 + z. Let i = 5 - 10. Which is the nearest to 0.2? (a) q (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 56, 65, 78, 95, 116?\n\"Answer: 2*o**2 + 3*o + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**3 - 1 + m + 5*m**3 + 81*m**2 - 76*m**2. Does 11 divide a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 41321?\nAnswer: 41321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 18*s**2 - 32*s - 59. Determine x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 9*b - 4. Sort -1\/2, b, 3\/5, 2.\nAnswer: b, -1\/2, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27089\/7568 - -8\/473. What is the common denominator of y and -41\/9442?\nAnswer: 75536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 5*c + 305. What is r(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 - 5*y - 2. Let o be 6\/21 + 36\/21. Let r(p) = 13*p - 2*p**2 + 13*p - 25*p + p**o. Calculate h(j) + 5*r(j).\nAnswer: -j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2810096 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8)*2 - (-18)\/4. Let d = 33 - 1. What is the greatest common factor of d and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 - 46004?\nAnswer: -46003.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 631 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - ((8 - -34) + -31 + 2).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 26)\/((-6)\/80). What is the highest common divisor of u and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5730946 + 23069054. What is v rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5333 - -5311. Let m(i) = -5*i**2 - 39*i + 11. Let q(b) = 6*b**2 + 40*b - 10. Let t(l) = -4*m(l) - 3*q(l). Does 44 divide t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -24.53 (b) -2\/7 (c) -5 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p = -13*p + 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 49. What is j(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -23, -0.869 in decreasing order.\nAnswer: 6, -0.869, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011100111010 + -10101111011?\nAnswer: 111000110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396 by -99.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 829127406?\nAnswer: 6633019248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 28*o + 191. Let c be t(-5). Suppose -68 = -3*g + g. Calculate the greatest common factor of g and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319470 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 4*w**2 + 14*w + 7. Calculate k(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-4\/39)\/x)*x*x\/(x*x*x\/x**(2\/13))*x*x*x\/(((x**(1\/13)\/x)\/x)\/x)*x**(2\/39))**(-9\/7) assuming x is positive.\nAnswer: x**(-729\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 3*h**2. Let o be n(3). Suppose -q + x + 72 = o, -x - x - 10 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 24 = -5*i, -3 - 13 = 4*i. Let l be (-31)\/(-7) + y\/(-1). Which is the third smallest value? (a) l (b) -0.4 (c) -21 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 7*g + 158. What is the remainder when g is divided by (4\/(-2))\/(10\/(-135))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -19*j**5\/60 + 40*j**2. Let y(x) = 2*x. Determine y(w(g)).\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, a: 10, q: 1}. What is prob of sequence kq?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 3*t**2 + 0*t**2)*((0 + 2 - 1)*(2 + 0 - 1) + 112 - 363 + 60).\nAnswer: 380*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 13*d - 12. Suppose d*k - 1593 = 4*s, 0*s = 2*s + 6. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.1, 1\/5, 3748, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*u**5 - 630*u**4 + u**3 - 14919*u**2?\nAnswer: 240*u**2 - 15120*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(5\/(-5) + -1). Let s(h) = h**3 - 6*h**2 - h + 8. Give s(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5149*b**2 + 78*b - 4.\nAnswer: -10298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r*y**4 - 296*r*y**3 - 3*r*y**2 + 3*r - 27*y**4 - 13*y**2 + 44 wrt y?\nAnswer: -24*r*y - 1776*r - 648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -212\/5*u**5 + 0*u**4 + 1\/2*u**2 + 0*u**3 + 60*u + 59. Find the second derivative of g(d) wrt d.\nAnswer: -2544*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858251 equal to 18023272\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11335 + 71?\nAnswer: -11264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b73 (base 12) to base 15.\nAnswer: -698c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from ikkdiiiimmkkxkgig.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1137\/(-2653))\/(6\/434).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.2 + -8. Let h = r + -0.2. Let c = -170\/49 - -559\/147. Put h, c, -5 in descending order.\nAnswer: c, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 18*m + 4. Let h be c(-18). Suppose -2*x + k - 2 = 2*k, 0 = h*x + k. Let w(n) = n - 1. Let s(r) = 6 - 3 - 1 - 6. What is x*s(a) - 2*w(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 100415 (base 7) to base 9\nAnswer: 25305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = 5*y, -8*n - 32 = -11*n - y. Let i(k) = -35*k + 446. Is i(n) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17627*q - 2700 = -17519*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 249026568 and 42?\nAnswer: 249026568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -48851, -4.\nAnswer: -48851, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 + q**2 + 0*q**2 + (3*q + 4*q - 6*q)*(2*q - q + 0*q) + 2*q + q**2 - 2*q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4930*s + 5195*s = 2750 + 2815 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/3 + 220*g**3 - 9584*g**2\/3 + 5504*g = 0 for g.\nAnswer: -344, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = 3, 3*g = -3*l + 9. Suppose -s + l = 2. Solve s*d + 1 = 3*x, -2*x = -4*d + x + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -25. Suppose -z + 21 + g = 0. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 436.25 - 442. Round s to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2460928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 62.41828g?\nAnswer: 62418.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 8*v + 12. Let s = v + 9. Suppose s = 4*r - t + 1, -3*t - 12 = 2*r. Solve r = 3*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 68620204.0346?\nAnswer: -68620204.3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 390361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 2 + 2 + (3 - 3 - 8)*(3 - o - 3) in the form a*o + w and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2780037798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -643 - -635.8. Which is the closest to h? (a) -0.2 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*w - w**3 - 46*w + 4*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*h + 218*h + 7263 + 3277 = 0 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472*m + 5*m**4 + 10*m**2 - 20*m**3 - 924*m + 2 + 472*m - 17 = 0. What is m?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55066230 take away -6782?\nAnswer: -55059448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/41160 and -3\/33614.\nAnswer: 2016840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 577238 to the power of 1\/2, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by -5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1889984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1171 - 709 + 254 + 226)*(-1 + 2 - 2)*((2*z - 5*z + 5*z)*(1 + 3 - 3) - 3 + 2*z + 3 + 11*z - 12*z + 4*z).\nAnswer: 9800*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -5*d - 9. Solve 1 = -z + 4, -z + 9 = d*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 1530.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmgmugggguurgmrggmru. What is prob of picking 2 u and 1 m?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1399136 divided by 92.\nAnswer: -15208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 63450*r + 7804361. Calculate t(-123).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 64*h + 25. Let u be n(55). Let i = u - 490. What is the greatest common factor of i and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205522 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1204*w + 1207*w + 2*p - 11 = 0, -14 = -2*w + 2*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 17*q = 2*x + 27*q - 21, 4*x - 7*q = -75 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 18188284962*j + 18188284962*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 1345?\nAnswer: -1748.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 5*j + 10, 12*j - 16*j - 8 = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 1, h: 2, s: 1}. What is prob of sequence khs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0834, -7, -1, 2, 3, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4\/17, -15 in descending order.\nAnswer: 4, 2, -4\/17, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1566704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8382\/(-508)*(-3)\/9*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45746581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 8. Let y be (j\/((-12)\/39))\/1. Let z(p) = -y + 13 - 2*p + p. What is z(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/((-3)\/(-15)). Suppose w*d + 2 = 27. Solve -6*x + d = -x - 2*v, -3 = -3*x + 3*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12931.\nAnswer: 67, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from teypyyyyyyqyyetyyqya.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2086\/9 + -232. Let m = -368.7 + 354. Let k = m + 14.5. What is the smallest value in -5, 3, o, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40755\/90090)\/(38\/6)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/13 - 1*(0 - 1). Solve -17*u + r = -20*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - -1. Let i = 0.5 - u. Let n = -0.9999774 - i. Round n to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**6\/120 - 11*f**5\/60 + f**4\/6 - 3*f**3\/2 + 6*f**2. Is o(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 7*d - 2*d + 3*v, -4*d + 2061*v = 2063*v + 46 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m - 13. What is i(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1. Let y(n) = 8*n - 4. Let k(a) = -3*j(a) - y(a). Let f(c) = 4*c**2 + c - 1. Let i be f(1). Let x(g) = -9*g + 1. Calculate i*x(p) - 5*k(p).\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 322413 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 12*o**2 + 20*o + 31. Let i be j(14). Let m = i - 295. Round m to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-16)*((-1432000)\/300)\/358\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(1573))**2 + (2*sqrt(156)*-2)\/sqrt(12) - (-4*sqrt(117)*-4)\/(sqrt(729)*3).\nAnswer: -124*sqrt(13)\/27 + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 5*s**2 + 8. Let n be h(-4). Calculate the highest common factor of n and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7*-2.2.\nAnswer: -5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15048\/9196)\/((-28)\/(-22))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 3*d + 5*d**3 - 2*d)*(-18827 + 196*d + 18827)*(-1 + 1 - 1).\nAnswer: -588*d**4 - 196*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m - 80*m + 7931 = 0. Let z = m - 707. Solve 9 - z = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654 is divided by 331?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5031 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 226897968 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -1\/2, -1, 10\/19, 9, 2\/13, -24?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12146808*s*v - 1152963*s - 5 with respect to v.\nAnswer: 12146808*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*b + 13*b + 1 - 11*b + 57*b.\nAnswer: 117*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -31. Let z = 324 + -192. What is the greatest common divisor of t and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 18*t + 133. What is h(7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8558 - -9686. Calculate the remainder when n is divided by 92.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -66. Let x(v) be the second derivative of 3*v + 0*v**3 + 0 - 2*v**2 - 1\/3*v**k. Differentiate x(g) wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 47231700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 11*m + 8. Let v be h(-11). Let r = -13 + 9. Is (r\/v)\/(1\/(-44)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 2667?\nAnswer: -8001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*y - 97, 4*b + y - 2*y = 410. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 7*d**2 - 5*d. Let k be q(6). Let m be -35 + k\/((-6)\/(-2)). What is the units digit of m\/(-1)*(-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404492 is divided by 3316.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8628481 less than -0.007?\nAnswer: -8628481.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62235*j*w**2 + 235430*w**2 wrt j.\nAnswer: 62235*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87531 is divided by 427?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -46. Suppose 0 = -g - 2*q, q + 3 = 2*g - f. Let h(z) = -8 + g + 7 - z. Let y(a) = -6*a + 6. What is 5*h(k) - y(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 187 = -104. Suppose -w + 2*h + 15 = -18, 3*w - 5*h = k. Calculate the remainder when w is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1572 - 1572.4. Which is the third smallest value? (a) -1 (b) 0.5 (c) -56 (d) -3\/11 (e) z\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 21 - 2 = -4*y, 3*j = 5*y + 20. Solve j*d + 24 = 3*x, d - 3 = -2*x - 0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2557774329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.99 (b) -4\/9 (c) -2 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 54.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24806 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.94101 + 0.9803. Round j to 3 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 18.13111.\nAnswer: 18.53111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 31 = 6*s. Suppose 2*v - 15 = -h - 11, -2*h = v + s. Solve 0 = 4*z - 3*z - y - 6, 10 = -5*z - v*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (39\/8 - (-13)\/104)*-74600. Round h to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.14 + 0.14. Let m = a - -1.9. Let t be (-1)\/4 - (-11)\/(-4). Put m, t, -1 in increasing order.\nAnswer: t, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from yyayyyoyyyyyyao.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*((sqrt(720) + 1*(4 + sqrt(720)))*-3 + sqrt(720) + 2 + -2 + sqrt(720) + -5))**2.\nAnswer: 1468800*sqrt(5) + 10628100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.5 (b) 3441 (c) 4\/5 (d) 2\/5 (e) 3 (f) -2\/3 (g) 102\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - b + 6*b + 21, 7 = w - 3*b. Let d(g) = w + 5 - 2*g - 12. Let f(t) = 11*t**2. Calculate f(d(r)).\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 10. Let c = s + -4. Solve 2*a - c + 3 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - ((1 - 2) + 3). Let m be (i*-1)\/1 + 0. Let k = -2 - 0. Is k at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-5 - -2 - (9 + 75 - 11)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10732\/5 (b) -3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12097 - 12097. Which is bigger: 4\/2823 or u?\nAnswer: 4\/2823","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*b + 35*b - 972. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -581? (a) 0.3 (b) -11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/((56\/32)\/(-1))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(22\/5)\/((n**4*n)\/n*n\/(n*n*n\/((n**(-2\/3)*n*n)\/n*n)*n*n)) assuming n is positive.\nAnswer: n**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p + 0*p)*(6*p**2 + 20*p**2 + p**2).\nAnswer: -27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251 - -552. Let s = 296 - z. What is the second biggest value in 112, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2369, 3997, 5625, 7253, 8881?\nAnswer: 10509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqqhheq.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 362763.62 - 362763.42000131. Let o = -0.2 + s. Round o to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 8097*n - 877828.\nAnswer: (n - 8204)*(n + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -2, 0.4, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2345511481 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1511 + 2195. Suppose -4*i + 4*j + 1680 = 0, w = 5*i - 3*j - 1414. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-384)\/27 + 14 + 184\/18. Solve -u = 5*v - 7*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i + i)*(-20*i + 21*i + 2 - 4)*(-15 + 6 + 23).\nAnswer: -14*i**2 + 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 3193, 12386, 30701, 61180, 106865?\nAnswer: 170798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/(-11) - (-14)\/77. Suppose 4*f = 5*f - 49. What is the highest common factor of f and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = -0*t. Suppose 8*s = 3*s + c + 53, t = 5*s + 2*c - 44. Let q be (10 - s)*(-1)\/(-2). Solve q = -5*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 36202?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, 4, 5, 2.\nAnswer: 2, 4, 5, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus -61.51?\nAnswer: -61.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 7630179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1213083 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 7 = -j, -83*k + 85*k - 10*j = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21002 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 35 - (-60 + 37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4 - 3. Let z be (j\/3)\/(1\/(-12)). Put -1, -15, z in ascending order.\nAnswer: -15, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*f - 32. Let d = f + 8. Suppose -d*n + 45 = 3*n. Calculate the highest common divisor of 45 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(1 + -1 + -1). Find the second derivative of -29*i + 2*i**2 + i**l + 15*i wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 53*w + 148 = 4*c + 57*w, -123 = 3*c + 9*w for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4183 - -0.418371792. What is h rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1482907416 to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + 76*m**2 + 2034*m - 14522. Calculate j(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (21 + -3) - (16 - (-18 + 38))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/72*(-3)\/10.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -590 + 594. Let v = 1.7 + -0.7. Which is the nearest to -0.4? (a) v (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1525*b + 1598*b - 3121*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 705771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4 + 262*i**3 + 773*i**2 - 1048*i - 3108 = 0.\nAnswer: -259, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 10 = 2*u. Suppose -5*k = -u*k - 6. Calculate the common denominator of k + 118*(-3)\/(-48) and -41\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73.9338 - -74. Round s to 3 dps.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 15. Let f(l) = 1. Let r(n) = 3*f(n) - s(n). Let t be r(-6). Which is the nearest to 1? (a) 0.07 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1548 and 108876?\nAnswer: 326628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*g + 112, 5*g - 13 = -2*l + 17. Let a = l + -30. Let t(i) = -i**2 - 4*i + 5. Let h be t(a). Is h less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 8*s - 5. Suppose 4*n = -6*l + 9*l - 5, -5*l = -5*n - 10. Sort s, -4, 5, n in descending order.\nAnswer: 5, n, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188455105?\nAnswer: 5, 37691021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1771, -3515, -5173, -6709, -8087?\nAnswer: -9271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6220*d**2 - 3*d + 43. Let l(u) = -6*u**2. Give h(l(y)).\nAnswer: -223920*y**4 + 18*y**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150034071 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27 - 0 - (2 + -6). Suppose 0 = -2*v + 113 + q. Calculate the highest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**5 + 245*w**4 - 3455*w**3 + 9275*w**2 + 29920*w + 16940 = 0?\nAnswer: -1, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 43 - 2.753\nAnswer: 40.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:34 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*c - 34 = 0, 5*s = 6*c - 3*c. Find q, given that -4\/5*q**4 + 8\/5*q**2 + 0*q - 4\/5 + 0*q**s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29819 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 50346 and 2047404?\nAnswer: 6142212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -45 + 0*i**2 + 0*i - 41\/4*i**4 + 29\/3*i**3. What is the third derivative of k(n) wrt n?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30856 and 915211.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4 - 1611*f**3 - 44934*f**2 + 354600*f + 876096 = 0 for f.\nAnswer: -507, -36, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Let k(l) = -l + 6*l - u*l - 2*l. Let q(f) = 7*f**2. Determine q(k(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9883413 * -2\nAnswer: 19766826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 524070608 divided by -131017652\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*i - 5*w, 0 = 3*i + 4*w - 23. Suppose i*v + 0 + 5 = 0. Is (-32 - v)\/((-1)\/1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9640, -39830, -90156, -160624, -251240, -362010, -492940?\nAnswer: -644036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) 0.1 (c) 3.101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 6 = 3*j. Suppose -3*v + j*u = -178, 0 = v - 2*v + u + 58. What are the prime factors of v?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*z - 42 - 52, 3*z - 135 = 3*d. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/360 - p**5\/40 + p**4\/24 + p**3\/6 + 2*p**2. Let t(j) be the first derivative of o(j). What is the units digit of t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f - 3*m = -33, m + 11 = 2*f. Suppose -15*h + f = -14*h. Let v be 68015\/10 - h\/4. What is v rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133962638 divided by -5\nAnswer: 133962638\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1088.1 - 1.068.\nAnswer: -1089.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/4 + 0\/1. Let w be (1 + j)\/(2\/(-30)). Let i = 23 - w. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1.519969?\nAnswer: 1.519969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107501.\nAnswer: 193, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -429 divided by -3\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2 + 6*n + 2. Determine s(5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/6 + 200\/75?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.149 from -32.\nAnswer: -31.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104561805 by 34853935.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -167*s**2 + 145*s + 1. Give i(2).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1701 - 1695. Calculate the smallest common multiple of 4\/24*-4*-6 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 4045122324?\nAnswer: -4045122341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301 + -2311?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5354*u + 870*u + 102287 = 1890*u - 63437 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 23*r. Let j(k) = -k**2 - 22*k + 77. Let c be j(-25). Let n(o) = -35379*o**2 + 35371*o**c - 3*o + 3*o. What is n(t(f))?\nAnswer: -4232*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 172541144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 5*o = -3*n - 9522, o + n = 3172. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h - 1 + 9*h + 76*h**2 - 56*h**2. Is 82 a factor of v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-70)*-5 + 26\/56?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 11*y**2 - 8*y + 21. What is c(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 - 131. Calculate the remainder when 52 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -225 and 61.\nAnswer: -13725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o + 1. Let k be (-4)\/(-4) + (1 - 0). What is the units digit of m(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-105)\/(-45))\/((-2)\/(-12)). Suppose -l*k = -18*k + 4. Let u(j) = -j + 1. Let d(f) = -3*f - 1. Calculate k*d(r) - 2*u(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(2299) + -1)**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3765\/(-516) - 1406\/(-30229)?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(6 + 8 - 9)*(6*m**4 - m**4 - 3*m**4) + 5*m - 5*m - 2*m**4 + (-1 + 1 + m**4)*(-2 + 1 + 0).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2998187\/670098 - -952\/213. Let v = a + 152761\/37752. Calculate the common denominator of 89\/38 and v.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1.1. Let u = 0.302 - -0.198. What is the nearest to -2\/7 in u, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*v - 297*v = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 3 - 3)*(-2*f - 2*f + 2*f) - 4*f + f**2 + 4*f + (3*f - 7*f - 2*f)*(-436*f - 42603 + 42603) to q*f**2 + j + n*f and give q.\nAnswer: 2613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (-10)\/(11 + -5 + -4). Let h be 8\/2 + ((-5)\/(-20) - 4). Factor -1\/8*b - 1\/8 + h*b**o.\nAnswer: (b - 1)*(2*b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25610 (base 12) in base 7?\nAnswer: -301440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 5*g - 37 + 41, -8 = -3*g + 4*l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 + -36. Let k = w - 58. Suppose 5*m + 3*m = k. Calculate the lowest common multiple of 5 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 954806.1mm to centimeters.\nAnswer: 95480.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.363 times -0.4\nAnswer: 0.1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 14*n + 44. What is j(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -932 and -1.\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.82538 to 1 dp.\nAnswer: -44.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016826021 to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-5208)\/(-245))\/8 + -3)*(-28)\/8. Is i less than 1\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*(sqrt(320) + (sqrt(320)*-1)**2)*-2 + -1.\nAnswer: 384*sqrt(5) + 15359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 3, a: 2}. What is prob of picking 1 u and 1 f?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 635*d**3 - 925 - 79*d**4 - 239*d**4 + 103*d**4 - 615*d**2 + 185*d + 935.\nAnswer: -5*(d - 1)**3*(43*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/4 + 1\/2. Suppose w - j - 11 = 3*f, 0 = -5*w - 2*f + 168. Calculate the remainder when 57 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8660808 divided by -4330404?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40.85 + -0.35. Let o = 45 + i. What is o rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujjjjujjjjuuujsus. What is prob of picking 4 j?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -18104, 3, -1, 1, -2, 27, 5 in decreasing order.\nAnswer: 27, 5, 3, 1, -1, -2, -18104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4. Solve -5*p = -b*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 7*a - 576. Let t = 167 - a. What is the remainder when 211 is divided by t?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 193830.9l?\nAnswer: 193830900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 129606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277 - 275 - g + 0*g + 10*g.\nAnswer: 9*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - v - 1. Suppose 6 = -4*z - 2*k, -8 = 3*z + 2*k - 1. Let b be 13\/(169\/52) + (z - 3). Determine u(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**7\/420 + 13*g**6\/240 + g**5\/40 - 41*g**4\/48 + 13*g**3\/6 + 2*g**2 + 444*g. Determine h so that b(h) = 0.\nAnswer: -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232943047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/88 in 4\/3, 1\/6, -0.4, 1.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9008.3 + -9008. Which is the fifth smallest value? (a) -0.1 (b) q (c) 5.5 (d) -2\/3 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*x - 163*x - 999 = -488*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -482 - -480. Which is the smallest value? (a) -0.1 (b) 1\/2 (c) k (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4919533 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 28*f**2. Let t be a(2). Let x = t - 76. Let h(w) = 2*w**2 - 6*w - 12. Let q be h(6). Calculate the greatest common divisor of q and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1470553 != -1470553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 0, 18*k - 16*k + 3*s = 34. Does k = 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.25 + 24. Let u = -0.15 - p. What is the closest to 1\/5 in -1\/6, u, -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12112 (base 3) in base 5?\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26450*v + 26390*v - 52855*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 2*t - 1. Suppose -89 = -6*o + 5*o. Calculate the remainder when o is divided by y(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*u - 3*r, -u - 8*r + 4*r + 12 = 0. Solve 0 = -5*b - k - 12 - 10, u = -2*b - 2*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*n - 170*n - 149*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 557868789 divided by -1011\nAnswer: -551799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7366 + -7364. Let q(u) be the third derivative of -u**6\/120 - u**5\/20 - u**4\/24 + 2*u**3\/3 - 5*u**2. Let i be q(-3). Put i, p, 0 in ascending order.\nAnswer: 0, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5. Which is the closest to -0.2? (a) -0.5 (b) 4\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*o + 3 = -2, -d + 10 = 4*o. Let c be (-55)\/2*8\/d. Solve 4*g + c = 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7672 + 8171. What is the remainder when d is divided by 154?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 4)\/(752\/282). Factor 0*x + l - 3\/2*x**2.\nAnswer: -3*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3555218086.\nAnswer: 2, 7, 47, 223, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132805 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 85. Which is the fourth biggest value? (a) -1 (b) 3 (c) z (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 plus 249?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -49*w**3 + 2*w**2 + 3*w + 2. Let l be m(-1). Let n be 0\/(-2 + 4) + -4. Let g be 50\/n*8\/(-5). What is the highest common factor of l and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - m**2 + m + 10. Suppose 0 = -n + 3*n. Suppose n = -3*f - r, -2*r = 5*f - 5*r. Is b(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 11*j + 10. Determine y(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 2, h: 2}. Give prob of picking 1 a and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/27? (a) 3\/11 (b) 4 (c) -2.1 (d) -5 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1200012220 (base 3) to base 12\nAnswer: 170b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2969+-4\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4988 + -4993. Which is the nearest to 0.1? (a) s (b) 2 (c) 2\/45 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*p - 51, 26*i + 4*p = 29*i - 55. What is the smallest value in -28, -2\/9, i?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1036.03 - -1166.004. Let f = p + 0.026. Let r = f + -129.92. Which is the second biggest value? (a) -1 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384*-0.0462.\nAnswer: -17.7408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247679446 a multiple of 857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 + 5 = y + 5*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840452474 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 3*x**2 - 7*x + 4. What is the lowest common multiple of 20 and s(-4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 46. Let b(w) = 2*w + 265. Let r be b(s). Let u = r + -8. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 518122336\/(-5460) - 3\/(-5). Let a = 94893 + g. Let n = a + -10\/39. Is n bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -67353 and -0.059?\nAnswer: 67352.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d + 100. Calculate s(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-35))\/((-25)\/(-70)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i. Let f(w) = -23*w. Let p(y) = y**2 - 17*y - 38. Let h be p(19). Let a(j) = h - 48*j + 0 + 36*j. Let k(v) = -11*a(v) + 6*f(v). Calculate k(z(x)).\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 58 = -43 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -390*w + 11. Let p(h) = 391*h - 11. Let t(j) = -4*p(j) - 5*u(j). Let o(y) = -257*y + 7. Let x(s) = -8*o(s) - 5*t(s). Is x(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 5 + 4)*(1 + 0 + 0) + (18 + 5 - 8)*(5 + 3 + 1))*(p - 3*p + 3*p).\nAnswer: 129*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*t - t. Let j = t + -6. Suppose 0*z + i - j = -2*z, 0 = 2*z + 5*i - 1. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -14\/9*a**3 - 1\/18*a**4 - 49\/3*a**2 - 15*a + 0. Determine r, given that p(r) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11320*j = 11259*j + 2135 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-840)*-1*9\/3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39069 is divided by 400.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, t: 9}. What is prob of picking 1 t and 3 u?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l)**(2\/3) assuming l is positive.\nAnswer: l**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 + 5 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a - 92068 + 85588 = 0 for a.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4430 - -4427. Let x(l) = -17*l**2 + 4*l + 4. Let r(h) = -17*h**2 + 3*h + 3. What is k*x(f) + 4*r(f)?\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + (sqrt(1573) - (sqrt(1573) + 0 - sqrt(1573))**2) - -2*sqrt(78)\/(sqrt(66)\/sqrt(176)).\nAnswer: 6 + 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = -3*b, -5*i - 30 = -10*i - 5*b. What is the smallest value in -3, 0.064, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1736, -3450, -5164, -6878, -8592, -10306?\n\"Answer: -1714*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1301094 and 258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -2. Let h be (0\/10)\/(3\/(-3)). Let t = -16 - -19. Put f, h, t in decreasing order.\nAnswer: t, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -6*r. Suppose r = -5*i - j + 6443, 5*j - 1279 = -i - 0*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0475261 weeks in microseconds?\nAnswer: 28743785280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63152 in -5, -2, 2, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r + 2*r + 6*r. Let t = -8 - -10. Let v(c) = -8*c - 4*c + t*c. What is u(v(h))?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -351 + 395. Let l = -46 - -88. Let z = i - l. Which is the nearest to 2\/7? (a) 0 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*q. Suppose -34*w + 37*w - 1320 = q. What is w rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 5)*(-d - 5*d + 0*d) in the form r*d + q and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2439180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 214, 1, -5, -2, -8 in decreasing order.\nAnswer: 214, 1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.1 rounded to one dp?\nAnswer: -40.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 8*10*10. What is z rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 - 224*r - 708 = 0. What is r?\nAnswer: -3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrr when three letters picked without replacement from {q: 1, x: 1, w: 3, b: 3, j: 6, r: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 + 10*r + 26. Let x be y(-5). Let j = -74 + x. Factor 0*v**j + 9*v**2 - 9*v**2 + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 7. Suppose -4*w - 2*o = w + 41, -19 = w + 4*o. Let f be a(w). Suppose 4*r + 6 = 2*y, -4*r = 3*y - f*r - 29. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 70. Let k be (-2)\/6*-3*3. What is the smallest value in k, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*13690.\nAnswer: -424390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13)*l*l*l**(-2\/9)*l)**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - d**2 - d + 1. Let z(s) = 9*s**3 - 8*s**2 - 6*s + 6. Give 6*n(g) - z(g).\nAnswer: -3*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35347440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7262 + 65359\/9. Determine t, given that u*t**4 - 2\/9*t + 2\/9*t**3 - 1\/9 + 0*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 329 - 320. What are the prime factors of 3*(v - 7) + 98?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 32 - 88*g - 112 + 46. Let i(q) = 8*q + 3. Calculate -68*i(b) - 6*m(b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 - -53. Let w be (-3)\/b*(-8)\/(-2). Factor 0*a + 0 + 2\/9*a**3 - w*a**2.\nAnswer: 2*a**2*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74159496355 - p - p + 74159496357 - 3*p.\nAnswer: -5*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 237977*l**2 + 1 - 237744*l**2 - 3.\nAnswer: 233*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b + 4. Let w(n) = 6*n + 2. Let l = 5116 - 5121. What is l*w(r) + 2*m(r)?\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 16 (c) 1 (d) -1\/8 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 - 10)*(9399\/18 - -3). Let r = m + -2619. Find the common denominator of -133\/6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -253982 - 141018. What are the prime factors of k?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i + 6. What is v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154 - -264. Suppose -4 = 2*c, -x + 0*c - 3*c - 1 = 0. Suppose p - k = 5*n, -3*p - x*n + 64 = -166. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/450 + 13*a**4\/90 - 56*a**3\/45 + 724*a**2. Solve c(m) = 0.\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2194, 1888, 1378, 664, -254?\n\"Answer: -102*h**2 + 2296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*d - 4, 0*d = 2*r - d + 6. What are the prime factors of -72*(68\/(-12) + r)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**3\/3 - 7*n**2\/2 + 11*n + 1. Calculate the remainder when (-42)\/12*(-270)\/105 is divided by i(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -16. Let j be g\/10*295\/15. Let f = 41\/5 + j. Is f less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 4031480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.133 at least 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540742953?\nAnswer: 3, 17, 10602803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10878 + 11303. Is f a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220913056 a multiple of 856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2679 + -751. What is the greatest common divisor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -198, -447, -746, -1095, -1494?\n\"Answer: -25*u**2 - 174*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2551660.8 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -105 + -2*1\/(-2). Let r be p\/(-48) - 2\/12. Solve 5*v - 21 + 3 = -4*f, -f + r = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572767231 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1225)\/25290 + 2\/(-12). Let h = v + -2\/281. Which is the third biggest value? (a) -5 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 60050175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4343 divide 2277424088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -359 + 526*y**2 + 156 + 205 + y**2 + y**2 - y**2 + (3 - 2 - 2)*(-2*y**2 - 2 + 2).\nAnswer: 529*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2415351425 + -5?\nAnswer: -2415351434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10325523 divided by -3441841.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*h + 2)*(2*h - 7*h + 2*h) + 13*h + 3*h**2 - 32*h + 15*h in the form d*h**2 + o + s*h and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29939810311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 16 = -2*x. Suppose 3*h + 5*i = -23, -9 = -2*h + 2*i + 13. Suppose -2*r + 30 = r. Solve -r + h = -2*a, 2*a + x = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 319 and 429?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 9, 101337 in decreasing order.\nAnswer: 101337, 28, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*n + 108. Let q = 112\/5 + n. Which is bigger: q or -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 4, -49, -24 in descending order.\nAnswer: 4, 2\/5, -24, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6855.\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1429777.1 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3704704 by 115772.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -0.6. Put 0.08, -2\/9, s in increasing order.\nAnswer: -2\/9, s, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399 = -59*a + 62*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.678 - 0.048. Let z = p + 24.37. Let r = z + -24.999958. Round r to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*o**3 - 151*o**2 + 432*o + 36.\nAnswer: -(o - 2)*(o + 6)*(37*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(-1) + -4 + 5. Let o = 27 + z. Calculate the remainder when o is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*g + 41 = -39, 5 = -5*g. Calculate the lowest common multiple of a and 36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1827536.966 to the nearest 100.\nAnswer: 1827500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5019.895935 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/29)*w**(-3\/16)\/w assuming w is positive.\nAnswer: w**(-519\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/3, 2, -0.019881?\nAnswer: -0.019881","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 62621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854267954.\nAnswer: 2, 3, 7, 11, 4013567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2 - 2) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 5*x = -3*m - 80, -4*m + 4*x + 96 = 0. What is the remainder when m is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 681102 = -2*k, 26*z - 24*z = -3*k + 1021652. Round k to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49616021.\nAnswer: 7, 13, 545231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 3*m + 36, 3*m = 4*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983782.8 millilitres to litres.\nAnswer: 983.7828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {d: 1, f: 8, m: 1, b: 3, x: 2, j: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*v - v. Let g = v + -1. Solve g*a + 4 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.1 - -8. Let q = -0.4 - -0.59. Let z = q + 0.01. Which is the third biggest value? (a) p (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-nine quarters of a kilogram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1 + 1 - 5*d + 4*d. Suppose 25 - 9 = -4*q + 2*m, -3*m - 16 = 4*q. Let x be t(q). Solve 0 = -8*a + x*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/21 and -11\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckj when three letters picked without replacement from {j: 1, c: 1, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/6 + 131*f**2\/6 - 200*f\/3 + 134\/3 = 0.\nAnswer: -134, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143)\/(-429) + 10\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.048 from 165.\nAnswer: 164.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + ((sqrt(102) - 2*sqrt(102))*4 - sqrt(102)) - sqrt(102)) + sqrt(102) + -4*sqrt(102)*5)\/((-1*sqrt(900))\/(-3*sqrt(6)*-1)))**2.\nAnswer: 88128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 6521 = 29641. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 2, 4 in ascending order.\nAnswer: 2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 7:01 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-22)*z)\/z**(1\/2) assuming z is positive.\nAnswer: z**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 12408261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/13458 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6762.216ms?\nAnswer: 0.1127036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t + 59. Suppose x - 2*h = -3, -8 - 2 = 3*x - 5*h. Let r be d(x). Suppose 0 = -5*k + 3*z + 39 - 9, -5*z = 3*k + 16. Solve -p + k*p - r = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 21*i + 2. Let v be u(1). Let m(s) = v*s**2 + 1 + 0*s - 10*s**3 - s - 24*s**2. Let z be (3 - 110\/35)*-7. Calculate m(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321206.2 months in decades?\nAnswer: 19343.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*t**3 - 62*t**3 - 25*t**3 + 174*t**3.\nAnswer: 313*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10255, -20515, -30777, -41041, -51307, -61575, -71845?\nAnswer: -82117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3424 and 1224?\nAnswer: 523872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -17*v**5\/3 - 332*v**4\/3 - 1166*v**3\/3 + 4*v**2 + 861*v - 360 = 0?\nAnswer: -15, -3, 8\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**2)*t)**(-3)\/(t**1\/(t\/(t*t\/((t\/(t\/t**(-2\/9)))\/t)))))**41 assuming t is positive.\nAnswer: t**(-4510\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11321+-3\nAnswer: -11324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/3976 and 15\/131776.\nAnswer: 922432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.155317721 + -0.15531. What is n rounded to 7 dps?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + -1)*(7\/(-3) - -2). Let i = -210 + -644. Is (-3 - i)*(-2 - h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -724\nAnswer: -1\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 2048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**4\/5 + 32*k**3\/5 - 68*k**2\/5 + 8*k = 0.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let u be -6*(1 - -1 - 1). Let y(h) = -1281*h + 644*h + 638*h. Calculate u*y(i) - 5*p(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 - 18640*f**4 - 28997544*f**3 - 15126642432*f**2 - 104816846772*f - 179092183248 = 0. What is f?\nAnswer: -1551, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3 - 2) + -5 + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -92*d - 3. Let c = 3 + -10. Is n(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 22*w - 171. Let y be z(8). Solve -y*p + c = -11, -5*c - 11 = -4*p + p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1894 + 1922. What is the greatest common divisor of i and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 18 = 4*g, 695 - 665 = -5*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/5 - (26\/10 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Let k = 0.04 - 3.04. Let n = -1148 + 1148.5. Which is the nearest to x? (a) n (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -10607?\nAnswer: -10612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - 1.05. Let g = 4 - 3. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13006232, 26012468, 39018708, 52024952, 65031200, 78037452, 91043708?\nAnswer: 104049968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118738 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601, 681, 783, 907, 1053, 1221, 1411?\nAnswer: 1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34.44117 centuries?\nAnswer: 41329.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*q)*(1 - 1 - 4)*(-5*q + 4*q + 4*q) + 6*q**2 - q**2 + 5*q**2.\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 8*z + 6. Let k be w(-6). Let m(l) = 11*l**2 - 5 + 5*l + 2 - 2. Let j(g) = 39*g**2 + 18*g - 18. Give k*m(q) + 5*j(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 797*w - 31037. Calculate r(41).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8831 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 787668.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 23*i - 43. Let q(p) = 158*p - 297. What is -6*q(c) + 41*s(c)?\nAnswer: -5*c + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 - 2.3. Let b be 1\/(-6)*-1*4. What is the third biggest value in b, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/28*(0 + 14). Which is the nearest to 0.1? (a) -0.2 (b) 2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79.993672 > 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - (4 - 2)) - (-31 + 17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 2860.\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0, 2, -3\/83?\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16 + 1 = 0. Let v be 0\/((-2 - -5)\/h). Let f(u) = 5 + v + 2*u - 3*u. What is f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 1, q: 3, g: 1, y: 1}. What is prob of picking 1 s and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11614*k - 534256. Give x(-46).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 6:31 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -9 - (40\/(-7) + (-2)\/(-14))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19159437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 - 3777*b**4 + 1572003*b**3 - 210591819*b**2 - 2425203666*b + 21797846496 = 0 for b.\nAnswer: -16, 6, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sca when three letters picked without replacement from sscaugs.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -30*b**3 - 11*b - 27. Let t(p) = -10*p**3 - 4*p - 9. Let u(m) = 4*l(m) - 11*t(m). Differentiate u(h) with respect to h.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 8:16 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 12 - 79 = 0. Let r = j + -10. Solve -12 = r*o + o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -389 - -25?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -23*p - 189 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 3268*z - 79200.\nAnswer: -4*(z + 25)*(z + 792)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 5 - 2*s**2 - 3)*(-1 - 5 + 28)*(-1 + 1 + 8*s).\nAnswer: -352*s**3 + 352*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 15, z: 3}. Give prob of sequence mm.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 11:19 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 25*x**2 - 25*x - 19. Is g(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1320 - 1338. Put -2\/3, 5, r in descending order.\nAnswer: 5, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 308 + -192. Suppose 5530 = r*o - 106*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8178211 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 4*s - 5. Let x(i) = -4*i**2 - 7*i - 9. Suppose g + 16 = 5*d, 4*g - 3*d - 9 = -5. Determine g*x(j) - 7*r(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s + 11. Let u be f(-2). Let r be ((-2)\/4 + (-3)\/(-12))\/u. Let i = 0.2 - 0.2. Is r != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, 815, -2\/11, 2\/191, -1\/4, 3?\nAnswer: 815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 2*z - z)*(-15*z**3 - 1236 + 1236 + (-2 - 2 + 3)*(-3*z**3 + z**2 - z**2)) to the form k*z**3 + v*z + h + o*z**4 + r*z**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiinniqiqnnniiqqi. Give prob of picking 1 q and 1 i.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522117?\nAnswer: 23, 66179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16057, -16258, -16583, -17026, -17581, -18242, -19003?\n\"Answer: o**3 - 68*o**2 - 4*o - 15986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 353590 equal to 353591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112587 + q**3 + 10*q**3 - 112581 - 7*q**3.\nAnswer: 4*q**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.82 - -0.18. Let p be 1*(2 - 3)*0. Suppose 2*n + 1 - 3 = 0. Which is the closest to p? (a) n (b) 8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a + 1 = 49 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 19*v - 15594 = -21*v, 0 = 5*b - 5*v - 15615. What is the highest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3175950.\nAnswer: 2, 3, 5, 31, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200442?\nAnswer: 2, 3, 11, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*p + 85. Let t = p - -187\/4. What is the second smallest value in t, -11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/36*(-13605)\/(-445) + 5 and -87\/10?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 1:49 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10495969403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and 947073?\nAnswer: -123119.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37.9 + 271.9. Let j = c + -233. What is the third biggest value in 3, -0.1, -0.02, j?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 563 + -558. Suppose 0 = 10*z - 699 - 1351. What is the smallest common multiple of a and z?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 15*g - 38. Let w be x(6). Suppose w*v + 34524 = 215468. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 12) to base 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 36666477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000040372 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9*(-5)\/30*-2. Let i be ((-3)\/9)\/(b\/72). Calculate the greatest common factor of i and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -85*t + 6. Let k be m(6). Let g = k - -715. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 12*o + 9. Let n(p) = -p - 1. Let z(x) = 3*g(x) + 21*n(x). Is z(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 3*d**2\/2 - 3*d + 22. Let w be t(2). Let c be 1\/(-6)*w\/(-36). Is 1 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j + 4*j - 4 - 3*j**2 + j**2 + j**3. Calculate c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 20895468?\nAnswer: 20895464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 743 + 2.\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - r = -9, 0 = -4*w - 0*r + 5*r - 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(1*sqrt(1331) - sqrt(1331)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2381, 584, -1211, -3004, -4795, -6584, -8371?\n\"Answer: z**2 - 1800*z + 4180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + n**3 - 6 - 111*n + 133*n - 1 to the form d*n + k*n**3 + m*n**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (-33 - -42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) -4 (c) -2\/15 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3737 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-111)\/148)\/((-2)\/144). Let b = w - 83. Let c be 1 - (-25)\/(-15) - b\/3. Solve -4*l = -7*l - c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-20)*g))\/(g**36\/g) assuming g is positive.\nAnswer: g**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47578586149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 + 96*x - 1667. What is z(0)?\nAnswer: -1667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64237, 64234, 64231, 64228, 64225, 64222?\nAnswer: 64219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:12 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**5*r*r*r\/((r**(-17)\/r)\/r*r)*r)**11 assuming r is positive.\nAnswer: r**319","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -i - 6*c - 6, -c - 12 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-6)\/3 + 4. Solve -i - m + 2 = a, 3*i - 4*m - 21 = -2*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - z - 40 = -10, 5*z = 2*m - 33. Suppose 4*a = -p - 0 - 18, -m = 3*p + 3*a. Let g = 2 - p. Solve x + 19 = 4*s, 20 = 5*s - g*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -19*q**2 - 4780*q + 12. Let u(d) = 11*d**2 + 2390*d - 7. What is 3*s(p) + 5*u(p)?\nAnswer: -2*p**2 - 2390*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 17 = -5*u, -2*c = -0*u + 4*u + 24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 180, 196, 226, 276, 352, 460, 606, 796?\n\"Answer: o**3 + o**2 + 6*o + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16602 to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2304171767 to the nearest integer?\nAnswer: 48002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30317351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 + 49 + 63 - 112.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 16*v**3 + 88.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + s = 3*s + 406 - 346, -5*c - 10 = -3*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.072 + 381.79?\nAnswer: 589.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzaaaaa. What is prob of picking 4 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*k - 14353 + 13713 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 0)*(-12)\/54*3. Solve -v = c + 8, -28 = f*v - 0*c + 5*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17713.6 - -17714. Let b = 0 - 5. What is the third biggest value in b, w, -0.6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220723181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -865*f**3*h + 21434*f**3 + 94*h + 1 wrt h.\nAnswer: -865*f**3 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19663936 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 + 290. Suppose f - r = -f. Let u = 32 + f. Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + j + j**2 + j**2 to the form g*j**2 + t + b*j and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3988 (base 11) to base 16\nAnswer: 143a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.8905ug?\nAnswer: 0.0000000018905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - a**3 - 1)*(7 - 41 - 4).\nAnswer: 38*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(17) + 0))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91179110?\nAnswer: 2, 5, 11, 828901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 1}. What is prob of sequence to?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = 10. Suppose q*p - 1159 - 584 = 0. Suppose 6*b = p + 493. List the prime factors of b.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25904, -25898, -25874, -25820, -25724?\n\"Answer: 2*b**3 - 3*b**2 + b - 25904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*o - 3*o = -9, 5*h = -o + 7. Suppose h = -d + 1. Solve d = r + 4*y - 3 + 2, 3*r = 4*y + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*q - 149*q + 110*q + 1782 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p**2 + 21*p**2 + p - 3 - 4*p + p to the form m*p + u + t*p**2 and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - 19)*(-4)\/10. Suppose -b = -n*b + 15. Suppose -b*k = -0*u + 3*u - 31, 0 = -u + 3*k - 13. Solve 0 = 3*y - u*o - 18 + 43, -5*y - 15 = 2*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 0, 4, -4, -3 in descending order.\nAnswer: 146, 4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 - 120. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784649184 a multiple of 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, s: 3}. What is prob of sequence nn?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 786029159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -23*a + 166. Let w be i(7). Let n(z) = z**3 - 2*z**2 + z + 2. Let j be n(2). Let d = 7 - j. Solve -1 - d = 3*h + w*k, 2*k = -h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 74 = -5*h - s, h + 5*s = -37. Let x = 1374 - h. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41320988867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 11. Let k be 2*-1*14\/4. Let g = 11 + k. Calculate the greatest common factor of g and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-2 - -1) + 3. Let y(p) = -2*p**2 - 3*p**3 + u*p**3 + 1 + 3*p**2. Let l be (-7 + 2)*(-4)\/(-10). Let j(b) = -b**2 - b - 1. What is l*y(c) - 2*j(c)?\nAnswer: -2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2668 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0698 + -0.069297. What is a rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1015*n**5 + 3*n**4 + 2*n**2 - 2*n - 18964?\nAnswer: -20300*n**3 + 36*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 11:54 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.825 to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*f = -f + 27, s = -2*f + 15. Solve 0 = 10*m - s*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3730 divided by -10\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.17 and 69253114145.\nAnswer: 69253114144.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 16*i + 6. What is the lowest common multiple of 9 and g(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10283 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*t + 0)*(-40*t - 53*t + 28*t)*(5*t**2 + 3*t - 3*t)*(-17 + 17 + 5*t).\nAnswer: -3250*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 2*b**2 - 2*b + 4. Let l be s(-3). Let c be 7\/(7\/(-12))*l. Let i = c + 20. What is the smallest common multiple of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by -82843?\nAnswer: -50\/82843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a + 32. Let f(q) = 3*q + 31. Give -5*f(j) + 4*n(j).\nAnswer: j - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2225\/11 + -2223\/11. Let i = 1 + -0.9. Let m = i - 0.09. Which is the smallest value? (a) m (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1368, -1366, -1364, -1362, -1360, -1358?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (148*413\/140)\/(1\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16)\/x**(-2\/43))\/(x**(1\/18)*x*x*x**(-19)) assuming x is positive.\nAnswer: x**(767\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2563316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, 2, 171, 566, 1277?\nAnswer: 2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11883 - -28000. Let k = a - 19406. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * 5.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81460595 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 902*z**3 + 3*z**2. Let x(i) = -1905025*i**3 - 6335*i**2. Give 6335*d(r) + 3*x(r).\nAnswer: -905*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2845*l + 1345687. Give r(-473).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856.005157 rounded to the nearest ten?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-314)\/(-75))\/((-1)\/(-10)). Let f = -42 + o. Let s = 568 + -570. What is the second smallest value in 2, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/13)\/o**(-2))\/(o**(-4)*o**6))**(1\/23) assuming o is positive.\nAnswer: o**(2\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.8 and 239.\nAnswer: 235.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -20, 3, -13 in increasing order.\nAnswer: -20, -13, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (-2531368)\/42)*(-3)\/1. What is t rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*h - 60*h - 128 = -2*u, 5*u - 292 = 3*h. Calculate the lowest common multiple of 1120 and u.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12958117*a**2 - 2*a + 10717455?\nAnswer: 25916234*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1614 - 1618)\/(-7 - (-268)\/38).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1 + 4*w**2 - 2*w**2 - w**2 + 2*w. Let o be v(-5). Let i = -4 + o. Solve 0 = -5*c + 3*p + 13, -3*p - 3 + i = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675217 is divided by 182.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 255*i**2. Let n(m) = -686*m. Give f(n(k)).\nAnswer: 120001980*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 2*y - 3. Let r be a(6). Suppose 3*s + q + 2*q = r, s - 22 = 2*q. Suppose 4*i - 1 = 11. Solve 2*u - 2*b - s = i*u, -b = -2*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 - -154 - (-1 + (55 - 0))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 - 23*u - 3. Give w(-11).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15990 + 32?\nAnswer: 15a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1120?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000003643 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105328771 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 3, -0.07, 2, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 12. Let s be a(10). Which is bigger: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0 + (1 + 5 - 4)*(2 + 2 - 2) - 1 + 4 - 2 + 15 - 14 + 19)*(-y**3 - 5*y**4 + 10*y**4 + 2*y**3).\nAnswer: 140*y**4 + 28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152987227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(17*d**4 - 17*d**4 - 16*d**5).\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -303 * 0.9.\nAnswer: -272.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 214*j - 5. Let i(z) = 1056*z - 24. Calculate -3*i(a) + 14*l(a).\nAnswer: -172*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/9 and 76\/195.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 460\/52 + 108\/(-12). Put d, -4, 40\/3 in decreasing order.\nAnswer: 40\/3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-2)\/(-36)*(-3)\/2. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -790 - -795. Which is the closest to 0? (a) 4\/3 (b) -11 (c) 2\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -980 divided by 16?\nAnswer: -245\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8.7 * -123\nAnswer: -1070.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 10) to base 11\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 4:25 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -97 + 1. Let q = h + -9. Let g = q + 1. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29429919224176 - -3?\nAnswer: -29429919224173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 1 - 1)*(2*f**2 + 2*f**2 - 6*f**2 + (0*f - 2*f + 0*f)*(4 + f - 4)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/77 and 55\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*c + 12, -2*k + 2*c = -3*k. Put -0.23, -2, k in ascending order.\nAnswer: -2, -0.23, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -720, -723, -730, -741, -756?\n\"Answer: -2*q**2 + 3*q - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4\/3 + 28*g**3 - 366*g**2 + 1512*g - 1944 = 0.\nAnswer: 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - 6309. Let b(o) = -76*o. Determine k(b(g)).\nAnswer: 23104*g**2 - 6309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = y - 2*y + 3*j, -4*y + 2*j + 22 = 0. Let k = 264 + -246. What is the second derivative of y*c + 8*c + k*c**5 - 2*c**5 wrt c?\nAnswer: 320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195 (base 14) to base 6.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0857705l?\nAnswer: 85.7705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 16*m - 35. Let g be c(3). Suppose 208 = -g*r - 5*z, 2*z - 101 = 4*r + 107. Does r = -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 - 529*l**2 - 77439*l - 1922031 = 0 for l.\nAnswer: -249, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20191726*z**5 + 202333751*z**2 wrt z.\nAnswer: 1211503560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 11*m + 7*m - 30*m.\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49\/9? (a) 0.5 (b) -3\/7 (c) 4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 328509 at most 328307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52341613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*x + 29. Suppose 0 = -0*d + d + x. Does 16 divide (-4)\/(-14) + (-888)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) 1\/626 (c) 0.2241 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 + 11*v**2 - 6*v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let n be y(6). Suppose -n + 18 = 4*k. Suppose 2*h = 5 + k. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55031.2ml in litres?\nAnswer: 55.0312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (13 - 0 - (2 - 7) - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 95. Let q = -39.9 - f. Which is the third smallest value? (a) -6 (b) q (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-48)\/8))\/(28\/(-7)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*n + 91*n = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**(-22)\/(f**(-3\/2)\/(f**6*f)) assuming f is positive.\nAnswer: f**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3336 is divided by 1597.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l**5 + 191*l**4 - 510*l**3 - 770*l**2 + 9*l + 99 = 0.\nAnswer: -11, -1, -3\/7, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21 and 1646588849.\nAnswer: 1646588870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 11 = -3, -b = -4*f - 637. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 12:09 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2 - 3*k + 5. Let z(c) = 2*c**2 + 12*c + 3. Let l be z(-5). Let t be y(l). Suppose 2*r + 2*r = t. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k. Let c(o) = -4*o - 1. Give x(c(v)).\nAnswer: 8*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 612047214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - -2. Let c = b - 3. Which is smaller: c or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 + 58. Let c = -92 + j. What is the highest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/120 + 11*o**5\/60 - 3*o**4\/8 - 44*o**3\/3 + 96*o**2. What is the least common multiple of 33 and i(-7)?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -663 + 313. What is k rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47261.59 weeks to milliseconds.\nAnswer: 28583809632000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**2 - 3\/2*c**3 - 2 + 17\/60*c**5 + 0*c - 1\/12*c**4. What is the second derivative of o(y) wrt y?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751065588 is divided by 4033.\nAnswer: 4031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 4*y - 5*y - 1, j - 5*y - 21 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ppyptjjpymjyaay.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178303?\nAnswer: 37, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 145*i - 5437. Give l(77).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -15\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -31*s - 19. Let t = -78 + 75. List the prime factors of k(t).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (328*b - 163*b - 123*b)*(-5*b**3 + 4*b**3 - b**3 + 3*b**3 + b**3 - 5*b**3 + (4 - 4 + 2*b)*(2*b + b**2 - 2*b) + 7*b**3 - b**3 + 3*b**3).\nAnswer: 336*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3277*a*o**5 + 4650*a*o**2 - 292362*a + 39*o wrt o?\nAnswer: -65540*a*o**3 + 9300*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 9*b**2 + 17*b - 65. Let q be h(8). Solve -3*p - 16 = 5*x, -2*p + q*x = 2*x - 31 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/(-493))\/((-7)\/(-476)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 325 - -695. List the prime factors of j.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119)\/7*(-1)\/(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21072 is divided by 55.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2070 + -4?\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 11*f - 13*f + 18, -5*y - 23 = -3*f. Suppose f*c = 4009 + 7750. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 12}. What is prob of sequence iif?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - 1) + 70\/40 - 3455520\/(-128) is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 5 - 80 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) 5 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h + 43*h - 15956 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*f + 60*f**3 + 5*f**2 - 1 + 116*f + 16*f to the form s*f + b*f**3 + x + j*f**2 and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*r + 6, -4*r + 11 = 4*w + 3. Let a(d) = -3*d - 14 + d - 2*d**w + 13. Let n(o) = -2*o**2 - 2*o - 1. Give -5*a(k) + 4*n(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = -2*c + 32, -k + 14 = 4*c. Suppose -k - 16 = -5*z. Suppose 9 = 4*y - z*q + q, 33 = 4*y + 3*q. 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 y be ((-6)\/(-10))\/(5\/25). Suppose -2*h = -17 - y. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 24\/(-9))*-87. Let i = 58 - b. Let d(y) = y**3 + 2*y**2 + 292. List the prime factors of d(i).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/10*(-84)\/(-126)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49404 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and ((-352 - -58)\/(-49))\/((-2)\/((-4)\/6))?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**27*((i**(-12)\/i)\/i)\/((i*(i\/(i*i**2))\/i*i*i)\/i))**(1\/4) assuming i is positive.\nAnswer: i**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + 9 - (1 - -4). Suppose 5*w = 0, -3*w - 7 = -a + 1. Let r = a + h. Is r at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -232 + 226. What is the fourth smallest value in 0.5, 5, -5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34\/491 + -53179\/4910. Let q = -44 - -66. What is the common denominator of s and -2 - q*(-3)\/(-14)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -10 - 2. Suppose -3*n + w = -l - 0*l, -3*l - 3 = -3*n. Let g(p) = 5*p + 4. What is the remainder when 53 is divided by g(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.82375 years to millennia.\nAnswer: 0.09882375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1329\/443)\/((-6)\/(-38))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4 + g**3 + 4*g**3 + (-2*g**2 + g - g)*(g + g + 0*g).\nAnswer: g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -5*z**4\/6 + z**3\/2 + 5*z**2 - 7. What is the hundreds digit of c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*s**3*y**3 + 6*s**3*y**2 - 113*y**3 - 2*y**2 wrt s.\nAnswer: 24*s**2*y**3 + 18*s**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -85305*z**5 - 258051*z**4 - 262335*z**3 - 91749*z**2 - 2172*z - 12 = 0?\nAnswer: -1, -2\/121, -2\/235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(228) + (sqrt(228) + sqrt(228)*1 - sqrt(228))))\/((sqrt(12) + sqrt(36)\/sqrt(3))*2)*-4.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.135588269 to four dps.\nAnswer: 0.1356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*l**2*q + 5*l**2 + 36*l*q**2 + l*q + 2*q**2 - 15410 wrt l.\nAnswer: 12*l*q + 10*l + 36*q**2 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.202363 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37836 + 80554. What is the ten thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2996070 and 50?\nAnswer: 14980350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -80. Calculate the highest common divisor of 53 and m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4054.\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292, 74, -146, -368, -592, -818?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14*w**2 + 5*w - 7. Is y(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11\/9*r**4 + 44\/9 + 10\/9*r**3 - 2\/9*r**5 - 8\/9*r - 55\/9*r**2 = 0 for r.\nAnswer: -2, -1, 1, 2, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12253*p + 12251*p = 5*x + 31, 69 = -5*p - 4*x for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 divided by -2003?\nAnswer: 412\/2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 12*z**2 + 2219*z - 4658. What is h(-187)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 - (6 - 10 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11100110000011?\nAnswer: 11100110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6f12860 + -1?\nAnswer: 6f1285f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 341*c. Let t(g) = -3779*g. What is f(t(x))?\nAnswer: -1288639*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**6\/60 - 2*m**5\/15 + m**4\/6 - 13*m**3\/6 + 9*m**2. Is w(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 588*f - 588*f - 12 - 20*f**2 - 133*f**2 + 58*f**2 in the form v + j*f**2 + n*f**3 + l*f and give j.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 292 = -110. Let i = -86 + z. Calculate the remainder when i is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8878 = 5*p - 2163. Let f = -423 + -270. Let y = p - f. Round y to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4) + (14\/4)\/(-1). Let x(o) = 41*o + 207. Let c be x(l). Solve c*v = -5*y - 25, -4*y - y + 4*v + 5 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1944 and -67\/100980.\nAnswer: 1817640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -6 (b) 77 (c) 0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3604 + 3689. Solve 118 = 11*p + c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 180, 179, 178, 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x = 63*x + 4*m + 14, -3*x = -m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 14 + -20 + 1 + -7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 + 25*c**2 - 2*c. Let g(o) = 4*o**3 + 29*o**2 - 3*o. Calculate -2*g(v) + 3*i(v).\nAnswer: v**3 + 17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**3*r**3 + 3*n**3*r**2*x - 5*n**3*r + n**3 + 371046*n**2*r**3*x - 166*n**2*r**3 - 2*n**2 wrt x?\nAnswer: 3*n**3*r**2 + 371046*n**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9\/4)\/w**(5\/2)*(w**4)**(4\/17) assuming w is positive.\nAnswer: w**(-259\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/780195 and 71\/4950?\nAnswer: 257464350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18824 - 8282. What is the thousands digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k - 76. Let l(w) = -4*w**2 - 140*w - 119. Let j be l(-34). Determine t(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 5, -1.3674 in ascending order.\nAnswer: -1.3674, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -222398 - -3774472. Let u = l + -3552001.99899. Let o = u - 72. What is o rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2 = -8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 11\/58715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 395293403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 + 8360*d\/7 + 50088\/7.\nAnswer: 2*(d + 6)*(d + 4174)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3592.397ms to nanoseconds.\nAnswer: 3592397000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 190640*y**2 - 381268*y + 190632.\nAnswer: -4*(y - 47658)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 12*s + 3. Let u(h) = -h. Let f(m) = -d(m) - 5*u(m). Suppose 118 = -j + 114, -16 = -4*r - 2*j. What is f(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 6*l + 4 + 2*l)*(0*l**3 + 5*l**3 - 3*l**3 + 1).\nAnswer: 4*l**4 + 8*l**3 + 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 11. Let m(f) = 3*f - 11*f - 4*f**2 + k*f**2 - 5*f - 15. Is 7 a factor of m(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*b - 20, 7*z - 9*z + 3*b + 5 = 0. Solve -z*g = -14*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 - 24*g - 16. Let s be i(-4). Suppose -5*h - 1 = -3*a - 7*h, s = -3*a + 5*h + 29. Solve -a*d + 30 = -5*y, 0*y + 18 = 3*d - y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 16*p**4\/7 - 68*p**3\/7 + 64*p**2\/7 - 12*p\/7 = 0.\nAnswer: 0, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {x: 2, d: 4, y: 3, u: 1, h: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q + 2*h, -q = -5*q - 3*h + 9. Suppose -q*l - 3 = 0, -5*l - 23 = b - 2*b. Solve -b = 4*y + 3*x, -2*x - 13 = y + 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 25*w - 155. Let s(n) = -56*n + 312. Calculate 4*s(l) + 9*z(l).\nAnswer: l - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 21*p = 16*p - 8, -56 = -3*z + 11*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 140288\/320 - (-4)\/14*(-21)\/15. Which is the closest to -0.1? (a) 2 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*p + 110, 35*i = 5*p + 34*i - 230. Let t = 0.43 - -0.57. What is the second biggest value in 3, t, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -422029, -422016, -422003, -421990, -421977?\n\"Answer: 13*a - 422042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75182152.\nAnswer: 2, 29, 367, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29549, 59104, 88659, 118214?\n\"Answer: 29555*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iizwwwizssvu. Give prob of picking 1 z and 2 s.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:35 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1463, -1462, -1461, -1460, -1459, -1458?\nAnswer: -1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290513873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*u + 24*u = 0. Solve u*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.649774ml?\nAnswer: 0.004649774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**10*x))\/x)\/(x\/(x*x\/x**16))*x**(-14)\/(x\/x**(5\/9)*x) assuming x is positive.\nAnswer: x**(-382\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*c - 280*c = 262*c - 189*c + 82048 for c.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 991366.5 micrograms?\nAnswer: 991366500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*t + 3. Let v = -1410 - -22553\/16. Find the common denominator of 206\/32 - t\/(-3) and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3730 and 20142.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -263*d - 29501. Determine j(-112).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 30 + -2 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-2)\/(-24)*4. Let d = -7 - -6. Let k = 10.1 + -10. Which is the closest to -1? (a) k (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 377 = 3*w, y = 3*w - 5*w + 247. Is ((-38)\/(-4))\/(2\/w) 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 hchqcccmmuqcchw. What is prob of picking 1 m and 1 w?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b - 30 = 0. Let j = b - 8. Solve 5*w - 15 = j*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2717 - 6476 - 1815 + 1889 - 535 + 4609*p wrt p.\nAnswer: 4609","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10859466645 and -50.18.\nAnswer: 10859466594.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4045\/78, -1, 0.0383, -0.4?\nAnswer: 0.0383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3 - 913316*c**2 + 52132762240*c + 156406506672 = 0. Calculate c.\nAnswer: -3, 114166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/3, -5, -4, -55.\nAnswer: -55, -5, -4, 14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19943690971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k**2 + 10*k + 4. Let i(l) = -6*l**2 - 7*l - 3. Let s(u) = -5*g(u) - 7*i(u). Let p be s(1). Let f = p - -50. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 39*r**4 - 1581*r**3 - 45978*r**2 + 25920*r + 21600 = 0.\nAnswer: -20, -6\/13, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 233\/9. Put 1\/6, -0.5, y, -2 in descending order.\nAnswer: 1\/6, y, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 13398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.1 (c) -4\/7 (d) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 22*c - 2. Let m be d(-22). What is the hundreds digit of -3*m*((-195)\/(-6) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 31. Let o be w(0). Let b(t) = -t**3 - 8*t**2 - 4*t + 5. Let v be b(-7). Let s = o + v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.355*-42182\nAnswer: 14974.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v + 52*v = -26*v + 750. Let g(t) = t**2 + 3*t - 2. Calculate the remainder when g(5) is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89, -348, -779, -1382, -2157, -3104, -4223?\n\"Answer: -86*w**2 - w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 0*x + 16\/55*x**5 + 7\/22*x**4 - 3 + 1\/11*x**6 + 4\/33*x**3 + 0*x**2. Solve b(h) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3332 and 4454.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35716900.\nAnswer: 2, 5, 357169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.44 (b) 0.3 (c) -313 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1035 + 9325\/9. What is the nearest to q in 3\/5, -0.5, 0.7, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/4 - 3*g**4\/4 - 5*g**3\/2 - g**2\/2 + 9*g\/4 + 5\/4 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i - 4*g + 116, -58 = -2*i + 4*g. Let k = i + -17. Suppose -5*u + 97 = k. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, t: 2, n: 2}. What is prob of picking 1 n, 1 t, and 2 w?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373352, 373348, 373342, 373334, 373324?\nAnswer: 373312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-7 - (-18 - -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 0 - 4 - -12. Solve b = 5*s - x, s + 0*x = 2*x - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-816)*(-10 + 44). What is the second smallest value in w, 3, 33, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k - 185. Let m be c(27). Solve w - 3*t = -16, 3*w + m*t = 5*t - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4660 = -5*y + 4*s, -5*y + 3*s + 4660 = 0. What is y rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(66)\/(sqrt(6)*2) + 5 + 3 + sqrt(99)\/(sqrt(18)\/sqrt(18)))*2.\nAnswer: 6 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 + -24. Let h = -401 - y. Calculate the common denominator of -28\/11 and ((-14)\/(-10))\/(6 + h\/90).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-728)\/(-520))\/(12\/5) - (-2)\/(-8). Which is the second biggest value? (a) -700 (b) v (c) -0.02 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10351 + -10330. Solve 32 = y*m - 94 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (216*z - 7974 + 7974)*(-4 + 3 - 4) in the form u*z + n and give u.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 d, and 1 a when four letters picked without replacement from {m: 8, d: 3, a: 6}.\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(420\/(-8)) - 4094\/345.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -2*c**4 + 27*c**2\/2 + 9. Find the second derivative of d(k) wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1.9. Let t = -0.57 - -16.57. Let x = 20 - t. What is the closest to -0.1 in x, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 at least -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6416 - -6000.9. Let g = -278 - -674. Let l = m + g. What is l rounded to zero decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -1455, -2808, -4537, -6636?\nAnswer: -9099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 16*z**4 + 137868*z**3 - 1414388*z**2 + 3795780*z - 862700 = 0?\nAnswer: -8627, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 2*i + 9. Is 18 a factor of h(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11675419 is divided by 61?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9807*d*p**2*y + d*p*y - 80*d*y - 17*y wrt p?\nAnswer: 19614*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 19. Let r(l) = 2*l**2 - 61*l - 129. Let o be r(-2). Which is the nearest to 0? (a) n (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-1)*132\/(-36))\/(66\/33)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 17. Suppose -f*w = -16*w - 236. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*n - 19, -2*x + 21*n - 18 = 17*n. Let q = -527\/6 - -88. Which is the closest to x? (a) 1\/4 (b) 0.6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11493\/(-21) + 2)\/((-720)\/168). Let f = -309\/10 + o. Is f greater than 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 612 and 293832?\nAnswer: 4995144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427161*y**3 + 2*y**2 + 427122*y**3 + 4*y**2 + 2*y**2 - 8*y**2.\nAnswer: -39*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 35568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3\/6 - 5*j**2 + 2*j. Let g(l) = -2*l + 10. Let x(f) = 7*g(f) + 6*y(f). What is the derivative of x(i) wrt i?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, 80, 1\/2, 6.73, -5?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*b + 98*b - 146 - 107*b wrt b?\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in 1\/6, -0.2, 3, 3\/7, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41620475403 and 45.6.\nAnswer: -41620475357.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybccwcycswc. What is prob of sequence sw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, -3 in increasing order.\nAnswer: -3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 329357*w**3 - w + 118717 wrt w.\nAnswer: 1976142*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198287640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**3\/3 - 13*l**2\/2 - 2*l. Let o be p(10). Solve 7*r - 3*r = -4*b - 12, -b - o = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1bb + 4?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19698?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 + 133. Let q = -4.1 - a. Sort q, -0.22, -1 in descending order.\nAnswer: q, -0.22, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129\/7 or -19?\nAnswer: -129\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032487 to 6 decimal places.\nAnswer: -0.000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585\/54 + -6 - (10 + -5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 467700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 106131083 a multiple of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/u**(-5))\/u))\/u*u**4\/u)\/(u\/(u*u**(-5\/3))*u\/u**(-2\/21)))\/((u\/u**9)\/u**(6\/7))**(4\/15) assuming u is positive.\nAnswer: u**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15644234 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 9*i**3 - 3*i**2 + 9*i + 6.\nAnswer: -3*(i - 1)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041063204 rounded to four dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 165*u**3 + 24*u + 96. Let k(r) = -33*r**3 - 5*r - 19. Let j(o) = -5*f(o) - 24*k(o). Differentiate j(q) wrt q.\nAnswer: -99*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 330, -0.02?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 24*a**2 + 4*a + 3. What is the units digit of y(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - 4*b)*(b - b**2 + 6*b**2 - 4*b**2).\nAnswer: -2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 8:46 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7230 by 6.\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 322525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1440)*-2)\/(-5*sqrt(16)\/(sqrt(2)*2)).\nAnswer: -24*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32256)\/112)\/36*26\/(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -27528, 2, -5, 41 in descending order.\nAnswer: 41, 3, 2, -5, -27528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 3*n**2 - 4*n**2)*(-65 + 65 - 4*n**3).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i, 14*q - 9*q = -4*i + 91861. List the prime factors of q.\nAnswer: 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150699847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + 19 - 5*p + (-5 + 9 - 2)*(-3 - 2 + 2)*(-3*p + 5 - 5).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110001010000111 - 1111011?\nAnswer: 11110001000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11270\/345*(3 + -2)\/7.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416768 is divided by 2193.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 806674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14622 - 14633.7808. Let j = g + 0.1908. Round j to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -i, 18*c + 16 = 21*c - i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**2 + 147*c - 70. Let g be x(24). Factor 14\/11*i**3 + 26\/11*i - 12\/11 + 52\/11*i**g.\nAnswer: 2*(i + 1)*(i + 3)*(7*i - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n + 8. Let b(o) = -9*o**2. What is b(q(p))?\nAnswer: -729*p**2 + 1296*p - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -27*i + 18. Give j(3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5257 + 11723. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -401*o + 87. Let z(a) = 397*a - 101. What is -7*p(n) - 6*z(n)?\nAnswer: 425*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -26. Let h be 6\/(-4) + ((-505)\/(-10) - 0). Let s = h + f. Solve s*w = 12 + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/3*12\/(-5). Let a be (35\/20)\/((-2)\/l). Let h = a - -4. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = x. Let t be (1\/2)\/((-2)\/(-24)). Let m = x + t. Solve -5*a = -2*z - 4, -m*a + 2*z = 5*z + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40d + 3?\nAnswer: -40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29303980 divided by -230740?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 7:31 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -10 - (22 + (-20 - 15))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.1 + -9.2. Let s = -18 - g. Which is the second biggest value? (a) s (b) -4\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -912421.7 to the nearest ten thousand.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.31463 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let j = 5 - v. What is the first derivative of 3*i**4 + 3 - i**4 - j - i**4 wrt i?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025 (base 8) in base 6?\nAnswer: 4501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyyyyyllyyyyyllyyyyy. What is prob of picking 1 l and 1 y?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-66456)\/(-568)*(-2)\/(-12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1022202001 (base 3) to base 6\nAnswer: 320344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17165438?\nAnswer: 2, 157, 54667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - 8*z**2 + 7*z + 7. Calculate the remainder when l(-5) is divided by (-6)\/(-4)*(0 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -287? (a) -2\/117 (b) 2\/13 (c) -2\/5 (d) 3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5683059*n**2 + 37013081 wrt n?\nAnswer: -11366118*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -22.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*x - 59*x - 428*x**3.\nAnswer: -428*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4769531.\nAnswer: 13, 181, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 1026?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4114, 2, -4, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.496*0.00181\nAnswer: -0.00089776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-301)\/((-14)\/(-2)))\/(8\/22). Let n = c - -117. Put 2\/11, 2\/17, n in descending order.\nAnswer: 2\/11, 2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/170580 and 73\/113720?\nAnswer: 341160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - 11. Let f be 10\/y + 2\/8. Let k = -0.07 - -0.17. Which is the third biggest value? (a) -3\/7 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2539162 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22731 = -3*q + a + 5284, a + 18678 = 2*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2643240 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1.91, -2, 2.4, 2\/3 in decreasing order.\nAnswer: 2.4, 2\/3, -1.91, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l + 0*l**2 + 1\/6*l**3 + 0. Let w(y) be the third derivative of y**4\/8 + 970*y**2. Calculate w(i(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-306)\/(-85)*(-34)\/459?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -18*j**3. Let y be z(-1). Suppose -o - 5*p = 22, -y = -o + 4*p - p. Suppose 104 = o*u - 2*t, -6*u + 3*u + t + 100 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/2*3\/(-9). Suppose p*f = 6 - 12. Is 1\/(((-2)\/317)\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -114*y**2 + 53*y**2 + 60*y**2. Let h(v) = -87*v. Give d(h(l)).\nAnswer: -7569*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/3))**(-30))**49\/((s**(-1\/4)*s*s)\/s*s**(4\/9)*s)**(-2\/5) assuming s is positive.\nAnswer: s**(-44021\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168123894*2.\nAnswer: -336247788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53595?\nAnswer: 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + 3*x + 4. Let h be ((-8)\/14)\/((-10)\/35). Suppose 3*w - 5*b = 14, h*w = 3*b + 4 + 5. What is v(w)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3 - g**3 + 3*g**2 - 4*g**2 - g**2 + 2*g. Let k be r(-2). Is k smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2589*t - 3 + 3.\nAnswer: -2589*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-2))\/(-1) + 6. Let x = 0.9 - -0.1. Let w = x - 2. Which is the third biggest value? (a) v (b) -8\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -9. Let z = -182\/5 - -36. Put z, -2, u in ascending order.\nAnswer: -2, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*w + 127*w + 260*w**2 + 125*w - 367*w as k*w + n + l*w**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 82767*m + 1738102. What is a(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 12*d - 7*d**2 + 2*d**2 + 138 + d**2.\nAnswer: -4*d**2 + d + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (1 + (9 - 13) - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 + -552\/5. Let r = 12 - 11. Which is the nearest to -1\/2? (a) 0.1 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2289 divide 3287004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/12 and 225\/(-1740)*((-6)\/18 - (-103)\/30).\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48440923 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2\/9 (c) 0.8 (d) 6\/13 (e) -4 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13737982 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 17 = -4*d - 4, 5*d = -3*g - 23. What is the second smallest value in 0.17, -3, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 592, 596, 600, 604, 608, 612?\n\"Answer: 4*j + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44\/5, -2, 1\/3, 21.3, -5 in increasing order.\nAnswer: -44\/5, -5, -2, 1\/3, 21.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqxxxkxxxxxxgxqg. Give prob of picking 1 x, 1 k, 1 q, and 1 g.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 90575934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -41817 divided by 3282?\nAnswer: -13939\/1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 + 0.01. Let v = -9.396 - 0.184. Let n = v + j. What is n rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -5, 8739.4, -0.3?\nAnswer: 8739.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/27 + -32\/135. Let q = 22 - 18. Suppose -3*u - 15 = -q*x, 2*x = -4*u + 2*u + 4. Is y at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*25*(-8778)\/(-9625)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80329?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9, -5\/2, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.022 (b) -2 (c) 3\/8 (d) -5 (e) -13 (f) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1952240031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 298, 583, 866, 1147, 1426, 1703?\n\"Answer: -s**2 + 288*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.2. Let q be (-18)\/(-21)*(-84)\/48 + 3. Let i = -0.07 - 1.93. Which is the nearest to 0? (a) s (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 4*a - 1. Let q(k) = k**3 - 153*k**2 - 37*k - 10. Give 18*p(l) - 2*q(l).\nAnswer: -2*l**3 + 324*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 12 - 6)*(1 + 0 - 2)*(-5 + 9*c + 5) + (-1 - 1 + 0)*(-5*c + 2*c + 2*c).\nAnswer: 182*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/5)\/((-7796)\/(-311840)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 6532815*z**2 + 6532815*z**2.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 2*c**2 + c**2)*(1 - 1 + 2*c) + 101*c + 7*c**3 + 6*c**2 - 101*c.\nAnswer: 3*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 35*i - 2196 = 39*i, -2*j - 4*i + 856 = 0. Solve -j*u = -432*u + 24 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/3)*d)\/(d*d**(3\/8))*(d**(-3)\/d)**(1\/7))**(1\/28))**(3\/10) assuming d is positive.\nAnswer: d**(-103\/15680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59476*b - 59472*b + 4*u = 128, 136 = 5*b - u for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - 1297 - 3700. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d - 11 = 6*b - 34*d, 3*b - d + 3 - 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -0.15. Let n = m + -0.04. Put 4, n, -3 in descending order.\nAnswer: 4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 8 = v + 156560*b - 156557*b, 0 = 3*v - b + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 - -104. Let n(t) = t - 2. What is n(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 56*k**2 + 113*k - 369. Determine w(-58).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-5 - 104\/(-20)). What is the biggest value in o, -4, 2, -2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Collect the terms in 3854*w**2 + 3793*w**2 - 11521*w**2 + 3714*w**2.\nAnswer: -160*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(-2*sqrt(300) + sqrt(300) + sqrt(300) + sqrt(300)))\/sqrt(10))\/(2*sqrt(10)*5*-5))**2 + 3.\nAnswer: 1902\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -12. Let b be (c - 2)\/(3 - 2). Let x be (-12)\/(20\/(-5)) + 0. Sort x, -2, b in ascending order.\nAnswer: -2, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:49 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -5*f**8\/112 - f**5\/30 - 5*f**2 - 7. Let c(p) be the second derivative of r(p). What is the third derivative of c(s) wrt s?\nAnswer: -900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v + 7803 = -15*v. What is the remainder when v is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - (-5 + 9 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(200) + sqrt(200))**2.\nAnswer: 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 9. Let k(c) = 1. Determine k(r) - u(r).\nAnswer: r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*p - 4*p + 5*y, -10 = 5*y. Let u(x) = -x**p + 10*x - 6 + 7 - 4*x. What is u(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 4. Suppose 0 = 6*g - 8*g - t. Is g\/(-6)*(1 - -47) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - s - 17 - 13 = 0, -4*c = -3*s - 24. Let d = -30984 + 30982. Put c, d, 2, -4 in descending order.\nAnswer: c, 2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -376*u**2 - 754*u - 4 = 0.\nAnswer: -2, -1\/188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2 + d + 4 - 2 + 8. Let y be j(-9). Suppose y*m - 4*m = 0. Solve 0 = -s - m*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*t - 5 = 3*j, 0 = 4*j - 4*t - 20. Suppose 3*c - 15 = 5*f, j*c - c = 4*f + 12. Suppose -2\/7*l**3 + c*l - 2\/7*l**2 + 0 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*v**5 - 26*v.\nAnswer: 2940*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1011010101 (base 2) to base 6\nAnswer: 3205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4\/21 (c) -312382.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606 is divided by 179.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366 + -4336506?\nAnswer: -4336110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/x**(2\/5)*((x**(-4\/7)*x)\/x)\/x**0*(((x*x*x**(-2\/13)*x)\/x)**(-41))**(14\/5) assuming x is positive.\nAnswer: x**(-98239\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50632103.\nAnswer: 17, 883, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 23 in descending order.\nAnswer: 23, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 803*d - 1667*d + 875*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/60 + n**4\/6 - n**3\/2 - 2*n**2. Let f = 116 - 90. Calculate the remainder when f is divided by j(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4648697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 1.5. Let f = b - -2.28. Let k = 0.21956 + f. What is k rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (316 - 341) + -1 + 32?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/140 and -52\/77.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 1465154?\nAnswer: 1465150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3969.9 - -3972. What is the second smallest value in g, -4\/5, 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -44.46. Let l = -3.44 + o. Let x = -1.99 - -2. What is the nearest to l in x, 1\/11, -2\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0*g + 129 + 2*g - 2*g**2 - 129 - 437*g**3 + 422*g**3. Let t(u) = -15*u**3 - 3*u**2 + 3*u. Determine 6*q(h) - 4*t(h).\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-3) + 2\/(-6). Let z(i) = 5 + 3*i + i**2 + 1 + 1 - 4*i**3 - 4. Let v be z(-2). Calculate the highest common divisor of k and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*s - 134*s + 10355 + 2273 = 0 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5 in decreasing order.\nAnswer: 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i, -6*i + 3*i = 4*w + 4. Let f(v) = 6*v - 1. Determine f(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from mveeemevueeuemeewee?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-74488)\/(22\/88*(48\/(-50))\/(-3)). What is c rounded to the nearest 10000?\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = d - 20, -14582*x - 7*d - 40 = -14581*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -1 + -2 + -2. Suppose -5*s + 123 = 68. Let g = s + n. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.83 + -14.76. Let w = 1.7 + -2.8. Let b = -1 - w. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -14 - ((50 - 127) + 85)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2957*r - 2828. Let n(q) = 12. Let f(g) = -2*h(g) - 26*n(g). What is the first derivative of f(t) wrt t?\nAnswer: 5914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -36*y**3 - 15*y**2 + 3. Let t(w) = -20*w**3 - 8*w**2 + 1. What is 3*k(h) - 5*t(h)?\nAnswer: -8*h**3 - 5*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 divided by -1?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.078 and -0.35318.\nAnswer: 0.02754804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -321*c + 11157. Give w(35).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -1\/12*p**4 + 0*p**3 + 0*p**5 + 0*p**6 + 6*p + 0 - 1\/14*p**8 + 0*p**2 + 0*p**7. Find the third derivative of r(k) wrt k.\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 277730.2.\nAnswer: 416595.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a = -56*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 82. List the prime factors of r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 8, -x - 4*l + 4 + 4 = 0. Let g(y) = 2*y - 4. Let v be g(-3). Let r be (2\/v)\/(8\/(-10)). Is r smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 33*b - 16*b + 32*b)*(9*b**2 + 14 - 14).\nAnswer: 423*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2180 + 114. Let z = x + -633. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 23\/269, 2 in decreasing order.\nAnswer: 106, 2, 23\/269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 12. Suppose -20*v + 17 = -63. Let n(y) = -2*y**2 - 37*y - 56. Let u be n(-17). Put u, z, v, 3 in descending order.\nAnswer: v, 3, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34999870 to the nearest 10000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 136282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2, 174\/161 in decreasing order.\nAnswer: 174\/161, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-63)*-6*(-1)\/2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**2 - 6 + 13*d**2 + 6 as n*d**2 + x*d + a and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*l**3*o - 10*l**3 - 788177*l**2*o - 17586*l*o - 93*l + 2*o wrt l?\nAnswer: -60*l*o - 60*l - 1576354*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((44\/(-11))\/(-36))\/(1\/(-3)). Which is the closest to i? (a) -4\/3 (b) -5 (c) -7\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*o + 36. Suppose -4*x = y - 3672, 2*y = x - o*y - 935. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105672, 211333, 317026, 422757, 528532?\nAnswer: 634357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o**3 - 25*o**2 - 49*o - 12. Is i(23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*o = 26, 3*q - 3*o - 22 = q. Sort q, -2, 3 in increasing order.\nAnswer: -2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672533387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562258.\nAnswer: 2, 17, 23, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247910926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1394*u**2 + u**5 + u**4 + 1394*u**2 + (2*u**5 + 5*u - 5*u)*(3 - 1 - 1).\nAnswer: 3*u**5 + u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/6211738 and 151\/18635214?\nAnswer: 18635214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*g + 1899, 0 = 4*m + 6*g - 2*g - 1548. Let t = -236 + m. Calculate the highest common divisor of t and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 934 divide 896540062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -19 + -4 - 0\/(-1). Let w = -19 - l. Suppose -3*q = -w*b - 20 + 53, -3*q = 9. Solve -b*m + 5 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y - 16. Let q(n) = 21*n - 46. Calculate 8*k(r) - 3*q(r).\nAnswer: -7*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 455183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2173 * -3\nAnswer: -6519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxg when four letters picked without replacement from {x: 6, s: 4, g: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1834 = -5*m - 3*p, -522 - 944 = -4*m - 3*p. What is the greatest common divisor of 4232 and m?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/11 - -17\/22. Let g = -383 + 385. Let a = 29\/6 + -9\/2. What is the closest to a in 4, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.22722 - 0.23722. Let u = 1 + -4. What is the second biggest value in -0.4, t, 7, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + 0 + (-347 - -337)) - (-4 + -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:54 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8062, -5811, -3560?\nAnswer: -1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 5*w + 9. Let b = 1881 - 1884. Give p(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -281 and -282 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) + (-534)\/(-9)*1. Suppose -v = 5*z - 0*z. Let h = 64 + z. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 + 0*x**2 - 5*x - 5*x**2 + 3*x - 2*x**4 - 1 - x**2 as i + j*x**2 + u*x + y*x**3 + b*x**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4 + 1)) + (2271 - 2332) - -9\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16754, -33766, -50764, -67742, -84694?\n\"Answer: s**3 + s**2 - 17022*s + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {z: 3, a: 1, f: 1, r: 6, e: 1, w: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.1 + 16. Let o = b + 0.1018. Round o to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 = 5*s - 14, 0 = -4*s - 3*p + 10. Solve -s*f - 23 = -7*i + 2*i, 4*i + 3*f = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 525, 1194, 1885, 2610, 3381, 4210, 5109, 6090?\nAnswer: 7165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 999\/38 - 3460\/171. Calculate the common denominator of 79\/36 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) -2\/9 (c) 1 (d) -7893 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 1\/(-1)*9. Let y = k + 0. Let h = y - 2. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2086*l + 2. Suppose 4*k - 3*h = -24, -9*k = -5*k + h + 8. Let c be g(k). What is c rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 2*r**2 + 221*r + 40. Let q(n) = -n + 3. Let x = 15 + -11. Give x*q(w) - 3*y(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194.3204 millilitres to litres.\nAnswer: 0.1943204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 57.388 - 1114\nAnswer: -1056.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 j when three letters picked without replacement from jjssjssssjjssjjs.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-20 + ((-6)\/21 - (-1448)\/70))\/(1\/(-295))\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 80876, 160582, 240288, 319994?\n\"Answer: 79706*c + 1170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 125053, 249769, 374485?\n\"Answer: 124716*n + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 63 = -5*j - 2*y, j - 11 = -3*y. Solve -3*t - 10 = -52*m + 54*m, -4*m = t + j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101774 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 7*a + 4. Let l(i) = -5*i + 5. Let s be l(5). Let q be s\/6*(-12)\/(-5). What is the tens digit of z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -17. Let g(o) = 26*o**3 - 6*o - 16. Let x(h) = 5*h**3 - h - 3. What is v*x(r) - 3*g(r)?\nAnswer: 2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -0.001287\nAnswer: -1.998713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*z**5 + 70*z**5 - 12*z**5 - 492*z**2 - 2*z**5 + 1225*z**2 wrt z?\nAnswer: 3660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6178 - -3.\nAnswer: 6181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3515 - 87899\/25. Calculate the common denominator of -17 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174734 = 21*n - 1038611. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 603, 1550, 3225, 5994, 10223, 16278, 24525?\n\"Answer: 61*m**3 - 2*m**2 + 526*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 154, -2948, -6050, -9152, -12254, -15356?\n\"Answer: -3102*n + 3256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 9:16 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 16*r + 3 = 0. Let b be 3 - (1 + r - 3). Suppose -63 = -3*w - b*d - 13, 3*w = 4*d + 10. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = -13*m + 99 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -3*w**2\/2 + 26*w + 7. Let y be m(6). Solve j + j + y = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -5 + 0*b + 0*b**2 + 2\/3*b**3. Let j(a) = 136*a + 32. Let o(h) = 21*h + 5. Let k(q) = 5*j(q) - 32*o(q). Calculate k(u(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, v: 5, z: 3, i: 4, l: 1}. Give prob of sequence aa.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 3*n**8\/56 + n**5\/20 - 5*n**4\/24 - n**3\/2 - 33*n**2. Find the second derivative of x(f) wrt f.\nAnswer: 360*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16\/5 (b) 2\/47 (c) 0.09 (d) 2\/5 (e) 24 (f) -0.28 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2 + 17*n**3 + 2*n - 5*n + 5*n - 3*n. Let r be g(2). What are the prime factors of r\/(-30)*5\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 9 = v - 5, v - 8 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/((-15)\/(-3)))\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:17 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (668\/(-167))\/(5\/3 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17497703*g + 65549631 wrt g.\nAnswer: -17497703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -8 (c) -11 (d) -12 (e) -3 (f) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200664, 200743, 200822, 200901, 200980, 201059?\nAnswer: 201138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.6 - -11. Let q = -46 + 183\/4. Put q, n, -2 in increasing order.\nAnswer: -2, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -66 (b) 5 (c) 3\/5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 865 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/378 and -65\/189.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/4 - a**3 + 2. Let c be g(3). Solve 3*i + y - 12 = c, i - y + 2*y = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 32, 62, 124, 230?\n\"Answer: 2*o**3 - 2*o**2 + 2*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2744 and 994?\nAnswer: 194824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -5, 0, 3, 1433 in ascending order.\nAnswer: -5, 0, 1, 2, 3, 1433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -145.\nAnswer: -21\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -72*z - 454. Calculate j(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18192 + 18216. Calculate the smallest common multiple of p and 2619.\nAnswer: 20952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in 0.4, 0.3, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:47 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 3*q. Let v be 3\/q - 60\/(-25). Suppose 0 = 5*o, g + 6*o - v = o. Solve y - 12 = -g*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 251084576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6848 and 1472.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -38*((-24)\/6 + (-21)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-555)\/(-1480))\/(3 + (-46)\/16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2212*d**6*j**3 + 21*d**4*j**3 - 6378*d**2*j**2 + 98*d*j**3 - 2*d wrt d?\nAnswer: 265440*d**3*j**3 + 504*d*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -237 + 237.4. Let o = -4 - -3. Sort g, o, -0.4 in decreasing order.\nAnswer: g, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 25.799.\nAnswer: 26.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 6:25 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*((-1)\/2 + 2). Let j(r) = r**3 - 3*r**2 - 4. Let w be j(3). Let h be (-36)\/(-21) - w\/14. Put h, a, -2 in increasing order.\nAnswer: -2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*8\/18. Let r = -1.2 + 0.2. Which is the closest to s? (a) 0.5 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8885782 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, -24, -76, -150, -246, -364, -504?\n\"Answer: -11*m**2 + 3*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13005.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 52*l**2 - 127*l + 882. Calculate i(54).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42\/3 + 235 + 432 is divided by 128.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*(-15 - -3). Let n = 136 - 163. Let q be z\/n + 100\/(-36). What is the nearest to -1 in 0.5, -3\/7, q?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -2 + -4 + 0)*-6.\nAnswer: -48*sqrt(19) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 615257 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 81*f**3 + 8*f - 154*f**3 + 75*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11714 or 409952\/35?\nAnswer: 11714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(5\/((-40)\/(-96)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - -21. What is the units digit of 10\/(-4)*702\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2165854?\nAnswer: 2, 47, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9.84*-0.3\nAnswer: 2.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9160 (base 10) to base 14.\nAnswer: 34a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, 92, 145, 202, 263?\n\"Answer: 2*p**2 + 43*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16500)\/(-9)*5*84. What is x rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 5, 3, -488 in ascending order.\nAnswer: -488, -2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 24384 = 3*x, 125*g + 2*x - 19506 = 121*g. What are the prime factors of g?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/3249 and 32\/3249.\nAnswer: 3249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 25*b + 65 = 12*b, 0 = -3*b + 15. Calculate the remainder when 258 is divided by j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -26*d + 13*d. Solve -a + x = -5*a + 8, 4*x - 18 = -d*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 247*v**2 + 24 - 261*v**2.\nAnswer: -14*v**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 6*z + 9 = 0, z + 4 = 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1632 divided by -4.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 5)*(-4)\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, 5, 4, 26 in decreasing order.\nAnswer: 139, 26, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331535768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 30*u**2 + 0 - 24*u**2 to the form n*u**2 + c*u + w and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5755*k**2 - 5747*k**2 - 5758*k**2 + 17262*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/240 and 61\/70.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*l - 177, 5*c = 2*c + 2*l + 275. Calculate the remainder when c is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 125609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -980, -1947, -2900, -3833, -4740, -5615?\n\"Answer: n**3 + n**2 - 977*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 13*j - 24. Let f be u(11). Which is the fourth biggest value? (a) -0.1 (b) 0 (c) f (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*j = -4, 4*j = 3 + 9. Suppose -t - 30 = -i*t. Let f = 6 + t. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, 5, -5 in ascending order.\nAnswer: -5, 5, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4201 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(0 + 82) + -3. Let d = p - 1197\/5. Let x = 1657 - 10063\/6. What is the common denominator of x and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 2, d: 2}. What is prob of sequence td?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16333 - 4211 = -702*a - 582*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 1, z: 2, m: 1, a: 3, o: 1}. What is prob of picking 2 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 12. Suppose d = 4*l + 12, -2*n + l = -0*n - 585. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 3572 + 9512 = 0. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4 (c) 13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361136 is divided by 117?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 2*i**2 + 4*i - 9. Let u be 4 + -4 - (-3 + 6). What is the smallest common multiple of m(u) and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4*g + g**3 - g**2 + 1\/4*g**4.\nAnswer: g*(g - 2)*(g + 2)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7512106 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 13. Put a, 3, -1\/4 in increasing order.\nAnswer: a, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/80128 and 47\/3756.\nAnswer: 240384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -12*o**2 + o - 1. Let n be d(-1). Let z = n - -17. What is the remainder when 24 is divided by (0 - -2) + (2 - -4) + z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*m + 2 + 54*m - 30*m + 31*m.\nAnswer: 119*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuhnniiiunhihniqn. What is prob of picking 1 i and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262 + 265. Suppose 2*p - 5*w = 11, 4*w = l*p + 6 - 19. What is the remainder when 17 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 5\nAnswer: -88\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306462 or 306457?\nAnswer: 306457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 258757915 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((96\/140)\/4)\/(12\/(-30))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:29 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2537 is divided by 212.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 10) in base 11?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484866, 484875, 484882, 484881, 484866, 484831, 484770?\nAnswer: 484677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(3)*-5)\/(sqrt(48) + sqrt(192)\/sqrt(4)))**2 - (5 + 4 + sqrt(2)*1)*5.\nAnswer: -1415\/32 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 + 31. Let c be 2\/4*h\/(-7). Is 77 - (-2 - c\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0.1. Let y = 6 - 1. Let d(x) = -x**3 + 4*x**2 + 5*x + 4. Let i be d(y). Which is the smallest value? (a) 5\/3 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 834, 1668, 2504, 3342, 4182?\nAnswer: 5024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -1)*18\/4. Suppose 532*q + 106 = 534*q. What is the remainder when q is divided by (-2)\/b + 620\/45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 - 1.78. Let m = d + 1.9. Let r be 5\/(-2)*1*-2. Sort m, r, -0.4.\nAnswer: -0.4, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*k + 50 = 3, 5*i + 4*k = 61. Suppose -7*d = i*d - 96. What is the least common multiple of d and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 22*u + 169. Determine j(-20).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100 - 11?\nAnswer: 10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-2)*14\/(-35)*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 28*w**2 - 35*w - 116. Is 9 a factor of y(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n + 10 = 0. Let r be (10\/6)\/(n\/(-54)). Suppose -3*o = -r + 6. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1538388 by 2.\nAnswer: 769194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -10. Suppose 0 = -28*d + 16*d + 204. Let l = d - j. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2484540182 to the nearest integer?\nAnswer: 49845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (358 - 355) + -6 + 0 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9271, -4232, 4167, 15926, 31045, 49524?\n\"Answer: 1680*l**2 - l - 10950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15031341 (base 7) to base 6.\nAnswer: 50231450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 7733\nAnswer: -42\/7733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1337 and 126686.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -18 (b) 0.4 (c) -0.296 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161974937 a multiple of 2678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: d (base 16) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z, m - 3*z + 6*z = 0. Is 3 + 4235 - (m + -4) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1758, 7339, 16648, 29691, 46474?\nAnswer: 67003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = -t - 3*u, -t + 3*u + 5 = 0. Suppose 3*i = 2*i + t. Let p be (-57)\/i - (3 - (-21)\/(-6)). Which is smaller: p or -26?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 35 = 16*s. Solve 5*p - s + 26 = 2*f, 0 = -5*f - 4*p - 30 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -167 (b) -0.4 (c) 0.28 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*420\/1134 - 16*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7*d - 290 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*n - 1 - 4*n + (4*n - 8*n - 18*n)*(4 - 3 + 1) to the form o*n + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23299291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16615 - -4710. Suppose 12795 = 3*x - 3*j, -5*x - j - 3*j + h = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i + 2*v, -3*i - 16*v + 3 = -12*v. Let w(m) = -m + 5. Let o(f) = -f + 9. Let p(r) = -2*o(r) + 5*w(r). What is p(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-57)\/152 + (-1941)\/8. Let k = v - -1856. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b49 + 10c?\nAnswer: -a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 34*z + 43. Calculate l(-13).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-161)\/(-69)*(-1)\/((-42)\/(-16)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1128366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10779 and 427173?\nAnswer: 1534832589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, y: 3}. What is prob of picking 2 d and 1 y?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -10 + 1788 + (9 - 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -526.32251.\nAnswer: -535.32251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 15. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 71626 + 152463 = 74665. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8685 = -184*m + 17227 - 8910 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 404, 589, 762, 923?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14887 - 37821.\nAnswer: -37820.85113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -412, -612?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*b + 5*k - 8 - 21, -b - 3*k + 1 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 7*t - 2. Let y be w(-7). Which is the closest to 3? (a) 0.2 (b) y (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + (sqrt(475)*1 + -5 - (2 + sqrt(475) + -3))))**2 + 2.\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. Suppose 3*v = -4*b, v - 3*b + 0*b = 0. Solve c + m = -v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 1195*y**2 - 3*y + 43 + 1206*y**2.\nAnswer: 11*y**2 + 9*y + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -a4?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 8481.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1373 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3479507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/6 + 11*o**3\/6 + 12*o**2 + 62*o\/3 + 32\/3.\nAnswer: -(o - 16)*(o + 1)*(o + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 12:23 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*d**2 + 6*d + 478*d**2 - 234*d**2 + 23*d**3.\nAnswer: 23*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t - 68. Let o be k(-11). Suppose 0 = -4*n - 12 + 36. Let z be (n\/27)\/(4\/3). What is the second smallest value in 0.4, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/60 + 5*p**4\/36 + 4*p**3\/9 + 2*p**2\/3 - 6*p. Factor s(r).\nAnswer: (r + 1)*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 38, 46, 34, -4, -74, -182, -334?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 8*y - 4, 4*y - 5*a - 7 + 20 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*o - 2, 2*w - 4*o + 0*o = 2. List the prime factors of 2 - -963 - 3\/w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5836 + 5838. What is the closest to -0.1 in -5, i, -0.06, 16?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104.69*0.4.\nAnswer: -41.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 6*r + 5*r)*(1 - 2 + 2)*(-6 + 2 + 2).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -5*c + 90 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 8:30 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -68*d - 248. Let x be q(-10). Let l = x + -346. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 510653 and 185692.\nAnswer: 2042612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192.96 + 193. Let m = -3 - -3.05. Let j = m - t. Sort 5, j, -2 in descending order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 - 82. Let z(g) be the third derivative of -g**5\/30 + g**2 + 446*g. Give z(f(j)).\nAnswer: -18*j**4 - 984*j**2 - 13448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1101 and 66831.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -0.1042628533.\nAnswer: -1.1042628533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 4*f = 338 - 342, -2*r - 22 = -3*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oejcddjojdjdjccjjjcj. What is prob of picking 1 c and 1 j?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/10*(-15 + 10). Let a(i) = p*i + 5*i + 185 + 9*i - 18*i - 5*i. Let j(o) = -o. What is a(j(f))?\nAnswer: 2*f + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 482265337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frkf when four letters picked without replacement from {r: 1, f: 2, k: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -2b7?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - x**2 - 3. Let y be 2 + 0\/(-3 + 4). What is the remainder when a(3) is divided by y + (-12)\/4 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 + 253. What is the tens digit of u - 0 - -1*855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*o + 25 = 0, -4*h - 5*o - 5 = -9*h. Find the second derivative of -8*z**3 + 1 + 2*z**2 - h*z + z**2 + 5*z**3 + 9*z - 10*z wrt z.\nAnswer: -18*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 9*t = -645. What is the greatest common factor of 129 and t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 3)*(-26 - 31 + 58 - 410*x) to the form f*x + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/2026 + -9307\/812426. Let u = g + 409\/802. Which is the third biggest value? (a) u (b) 84\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w - o = 1404, 4*w + 3*o + 5612 = 0. What is w rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - 11111?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1049.1702 months to millennia.\nAnswer: 0.08743085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*l - 6 = 0, 32*l + 5 = 5*q + 27*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -190*r - 15. Let a(c) = 44*c + 4. Let z(q) = -26*a(q) - 6*y(q). What is z(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 3*b + 3 + 10, 4*b = 4*l - 24 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**3 + j + 21*j**3 + 9*j - 12*j**3 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -757 - -748 - (3 + 0 + 0 + -46)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + s - 139*s**3 + 294*s**3 + 184*s**3.\nAnswer: 339*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 811998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*m**2 - 8*m**2 + 7*m**2)*(-4 + 4 - 5)*(-7*m + 3*m - m) as f*m**3 + p*m + t*m**2 + j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159.107 + -1.407. Let q = 158 - n. Which is the biggest value? (a) 2\/3 (b) -4\/13 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2239*q + 2852 - 19885 = 9835 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*n + 1376 = -3108, 5*v + n = 5629. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**1)*d**(-4\/9))\/(d*d\/d**1)**(-48) assuming d is positive.\nAnswer: d**(437\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -5.1 (c) -6 (d) 1.2126\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1332*v = 8221 - 25916 - 10695 - 38210 for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -16*l + 3. Let r be y(-3). Suppose 606 - 620 = -7*t. Let a(s) = -r + 51 - 6*s**t. Determine a(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -479, -477?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*w + 29*w + 9*w**3)*(0*w**2 + w**2 - 3*w**2) - w**5 + 4*w**3 + 2*w**5 - 2*w**3.\nAnswer: -17*w**5 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 1324, 3897, 8900, 17143, 29436, 46589?\nAnswer: 69412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2) - (sqrt(40)\/sqrt(5))\/sqrt(4) - sqrt(14)\/(sqrt(175) - sqrt(7))) + -2.\nAnswer: -sqrt(2)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/4 - 271*m**2. Let g(c) = -32*c. Determine z(g(a)).\nAnswer: 15360*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1\/450, 0, -71248?\nAnswer: -71248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y - 39. Let z(o) = o. Let m(r) = 2*x(r) - 22*z(r). Let a be m(27). Let q(g) = -23*g + 11*g**2 - a*g + 53*g. Let c(n) = -4*n**2. Calculate c(q(d)).\nAnswer: -484*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*o. Let p be (o\/(-1))\/(-1) + -1. Let i = p + 3. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - c + 4 = 0, -9*c = -4*r - 7*c - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 23 = -6*w + 8*w, 17 = -5*q - 2*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 888 or 887?\nAnswer: 887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 13*d**2 - 11*d + 46. Let o be i(-14). Solve -3*y + o = -5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0.47. Let i = 0.47 + r. Let f be 2*(-2)\/6*-3. Which is the second biggest value? (a) 0.5 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 - 30. Suppose r = -5*k + 764. Suppose 42 = 5*g - k. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 761 = r - 2*q, -q = 3*r - 2316. Does 31 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 2. Suppose a*c + 6 = 3*c. Suppose w = -c + 10. Let d(o) = 5*o**3 - 3*o**2 + 4*o - 2. Let z(m) = m**3 - m**2 + m - 1. What is w*z(i) - d(i)?\nAnswer: -i**3 - i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - (15 - 4 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1498 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) 10\/2141 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14881 or -14880?\nAnswer: -14881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = u, 37*d - 2*u = 32*d + 37 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(sqrt(243) + 1) + 2 + 1*sqrt(243))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**5\/60 - 7*x**4\/24 + x**2 - 1. Let y(c) be the second derivative of i(c). Let n be y(-3). Solve 5*a + n = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.1 + 29.1. Let v = -14.4 + 14. Which is the third smallest value? (a) -5 (b) v (c) l (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/17)*d*d**15*d*(d**(-17)\/d)\/((d*d\/(d\/(d\/d**14)))\/d) assuming d is positive.\nAnswer: d**(205\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 84*r**2 - 180*r - 92.\nAnswer: 4*(r - 23)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011567808734 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 + 2c?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o**3 - 1696*o + 5. Let s(n) = -5*n**3 - 845*n + 2. What is 5*s(y) - 2*w(y)?\nAnswer: -3*y**3 - 833*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 873*u**3 - 3*u**2 - 17*u + 23. What is the remainder when n(1) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*h = -2*h + 16, -3*h - 78 = 2*l - 107 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 - 4*i - 3. Let z(h) be the first derivative of -1\/3*h**3 - 1\/2*h**2 - 5 - h. Give -d(s) + 3*z(s).\nAnswer: s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, -910\/367 in descending order.\nAnswer: 0.2, -2, -910\/367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 988845 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 = -29. Let z(t) be the third derivative of 19*t**4\/24 - t**3\/2 - 3*t**2. Let x be z(3). Calculate the highest common factor of x and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**3 + 834*j**2 + 1671*j + 1640. What is k in s(k) = 0?\nAnswer: -1, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1046*p**3 + 26 + 866*p**3 - 26.\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 1143441021?\nAnswer: -1143441013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35049604 from -40148.\nAnswer: 35009456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03233022413 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.62757 rounded to 2 decimal places?\nAnswer: -1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 1 - sqrt(1700))**2 - sqrt(17)) + (sqrt(68)*-1)\/sqrt(4).\nAnswer: -2*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4446903*d**3 + 8893815*d**3 - 4446915*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -36. Suppose 31 + l = 5*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0039 + 0.9039. Put p, 2, -3\/10, 0.1, 5 in decreasing order.\nAnswer: 5, 2, p, 0.1, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -16*a + 7. Suppose 56 = -58646*k + 58654*k. Calculate u(k).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -6. Let s = f + 3. Which is the fourth smallest value? (a) s (b) -0.4 (c) 1\/8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 3*o + 31, -4*v + 41 = -37*o + 42*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 - 61.51\nAnswer: -61.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 16. Factor -3*d**2 + 3*d - z*d**3 + 3 + 2*d**3 + d**3.\nAnswer: -3*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 78\/(-12))*2. Solve 0 = -4*m - t + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -54 - (-97 + -25) - 50. Let r = 6 + -2. Suppose 4*x + 16 = 2*o, -r*x - 28 = -6*o + o. Solve -2*c = 8, -o*a + c - 2 + y = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7550574931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 482381873 to the power of 1\/3, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -600 + 721. Calculate the least common multiple of 99 and u.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*-9*((-240)\/(-28))\/15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3154*y**5 - 7*y**2*z**3 + y*z - 14*y - 1582*z**3 + 2*z wrt y.\nAnswer: 63080*y**3 - 14*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 10, 5, 26, -1458, 0.\nAnswer: -1458, -4, 0, 1, 5, 10, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385?\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t = 32*t - m + 7, 6*t + 20 = 2*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrymmjs. What is prob of sequence lsyr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (1 - 14\/(-7)). Which is the closest to u? (a) 3 (b) 1\/6 (c) -0.4 (d) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/5 or -2?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - 1.66. Let j = 0.15 + p. Round j to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1783354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 12:56 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 + 2*g + 2. Let q(i) = -15*i + 329. Let t be q(22). Determine u(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116 divided by 2?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skseksskskessks. Give prob of picking 1 e and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30690 and 23870.\nAnswer: 214830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -413, -262, 455, 1738, 3587, 6002, 8983?\nAnswer: 12530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -13, 0.063 in increasing order.\nAnswer: -14, -13, 0.063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 10) to base 15\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one halves of a decade?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6) + 1)\/((-485)\/(-10185)). Solve -8 = 3*w + m, 0 = w - y*m + 5*m + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 2*i**2 + i + 1. Let t(p) = -7*p**4 + 3*p**3 - 6*p**2 - 867*p - 3. Let a(m) = -3*n(m) - t(m). Find the second derivative of a(y) wrt y.\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-16))\/(k**(-18)\/k))\/(k**(-4)\/k)**(-3) assuming k is positive.\nAnswer: k**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 60 = -4*v. Let s = v - 10. Suppose t + 20 = s*t. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 233 - 79 - 81 + b - 6.\nAnswer: b + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17964280.\nAnswer: 2, 5, 449107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -818*(-68)\/25320 - 1. Let q = 2\/633 + z. What is the closest to -2\/5 in 3, -2\/11, q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/11654 and -55\/9.\nAnswer: 104886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.124600599 + -0.1246. Round u to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/28*(-77)\/(-110). What is the third biggest value in -4\/5, -1, s, 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-13)\/((-2002)\/528))\/((-4)\/(-14)) and 1072?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + 4*y + 24, -2*a - 4*y = 16. Suppose -3*f - 15 + 90 = 0. Solve -4*h - 6*x + x + f = 0, 3*x = a*h - 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656638, 656434, 656230, 656026, 655822?\nAnswer: 655618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6811253 (base 10) to base 15\nAnswer: -8e8238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 814559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -328.47 - 5.53. Let l = -333.5 - v. Which is the third smallest value? (a) -12 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2111026 and 2958.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11907 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -28003 divided by 21\nAnswer: -28003\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 - 90. Solve 2*g - 19*g - n*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - t**2 - 1. Let j(n) = 3*n**3 + 5*n**2 + 4. What is -j(b) - 5*y(b)?\nAnswer: 2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1133 and 718013.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 11*l - 14. Determine c(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -373 - -370. Which is bigger: l or -0.85?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 66. Let h(c) = -c**3 + 17*c**2 - 14*c - 47. Let i be h(d). What is the remainder when 31 is divided by 2\/(3 + -13) + (-333)\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -19*s**3. Let m(y) = -18*y**3. Let k = 451 - 453. Calculate k*b(x) + 3*m(x).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 21 + 53 = 0. Are 17 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-34\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -326221 - 17?\nAnswer: -326240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -37. Let g = -11 - q. Suppose g*k = -3*w - 212 - 181, -k - 133 = -w. Round k to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 630494 (b) 3\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1620600 and 1591.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*l**3 - 6*l + 6*l**3 + 6*l in the form i*l**2 + y + g*l**3 + z*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Suppose -5*v = -3*t + 3 + 5, -5*t = 4*v - 1. What is l(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10631, 10788, 10951, 11120, 11295, 11476, 11663?\n\"Answer: 3*w**2 + 148*w + 10480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 514273747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(6)\/sqrt(75) + ((sqrt(10)\/(sqrt(5)*-5 + sqrt(5)))**2 - sqrt(2)))*-4.\nAnswer: -1 + 32*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1010000110100100 (base 2) to base 8\nAnswer: -120644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*u + 124 = 25*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -1703498?\nAnswer: -1703498.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3767, -4567, -5877, -7679, -9955, -12687, -15857?\n\"Answer: 3*y**3 - 273*y**2 - 2*y - 3495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8173 - 3568*b**4 - 2498 - 2043 - 3751*b**4 wrt b?\nAnswer: -29276*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4312 + 4031?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 15*w**2 + 24*w. Let t(y) = -43*y**2 - 66*y. Let j(l) = 11*a(l) + 4*t(l). Let s(u) = -1488*u**2. Calculate s(j(v)).\nAnswer: -72912*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -14*x + 7*x - x**2 + 4 + 1 + x**3. Determine h(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/(-35))\/(((-3)\/10)\/(-3)). Let s(m) = -m**3 - 3*m**2 - m + 2. Let t be s(-2). Differentiate t*z**2 + 4*z**2 - 1 - o*z**2 with respect to z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.01 + -0.29. Let l = -0.7 + h. Let m = l - -10. Are -1\/5 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485417 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -184.999709 + 185. Round v to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338948 by 169474.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**3\/3 + 3*i**2\/2 - 10*i + 5. Let z be l(-5). Solve z = -0*k + k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 22. What is the nearest to -2\/3 in 0, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + (sqrt(75) - ((sqrt(75) - (sqrt(75) + 1)) + -3))**2)*-2.\nAnswer: -174 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -16*w - 2. Let a be g(-2). Let r(l) = 8*l + 2. What is the remainder when r(2) is divided by (-12)\/9*a\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6673027.2 hours?\nAnswer: 39720.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 45. Which is smaller: m or 2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8201739?\nAnswer: 3, 7, 13, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w + 251*s - 106 = -245*s + 501*s, 2*w + 5*s + 62 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Put 46, -54, -3 in decreasing order.\nAnswer: 46, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 128*m - 127*m + 44 = 0, -4*m - 36 = a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, y: 2}. What is prob of sequence yy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {q: 4, j: 2, i: 2, w: 1, u: 4, z: 6}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -0.3. Let v = 0.6 - w. Let g = 0.41 - 0.01. Which is the third smallest value? (a) g (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71184 + -29391. Calculate the remainder when j is divided by 243.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + -6)*112\/(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*u + 661 + 641 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271289614 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 822238*v - 23844896. Calculate i(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 - 60*q**2 + 60*q**2 + (13*q**2 + 38*q**2 + 84*q**2)*(3*q + 4 - 4) + 1 - 1 + q**3 to u + l*q**2 + n*q + c*q**3 and give c.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212836011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 735771.\nAnswer: -662193.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 5 + v - 2 - 6*v**2 - 6 - 2*v**3 - 20*v**4 + v**2 to the form i*v**2 + b*v**3 + f + c*v + d*v**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 10. Suppose -25 = -3*h - 1. Let v = h + n. What is the highest common divisor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-6)*(-1)\/(-3)*0. Let b = 8 + -5. Suppose j = f + b*f - 556000. What is f rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151 + -126 + 721\/(-28).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.595854865 and -0.1496?\nAnswer: 0.446254865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 1:53 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 73. Which is the closest to -3? (a) d (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 17*f - 5. Let h(b) = 36*b - 11. Let o(w) = -6*h(w) + 13*z(w). What is o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 + 30012*y**2 - 337770054*y.\nAnswer: -2*y*(y - 22509)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 2*a**2 - 4*a + 5. Let s be k(3). Let z(q) = -7 - s + 2*q**2 - 438*q + 437*q. Let d be z(3). Solve -d = i + i - 3*o, 0 = i - o + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.23 - 7.03762099\nAnswer: 14.19237901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -a8?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2610630 divided by 1305315\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/1274 and 45\/2156?\nAnswer: 28028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 210 + -150. Let z = t - 39. Let a = z - -3. Calculate the highest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -36*t + 41*t - t**2 + 2 - 2. Let p be q(4). Suppose -17 = p*x - 5*x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**3 - n**2 + 4*n - 3. Let i be p(2). Let m = i + 3. What is m rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 169 - -4?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10147496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -246*b**2 + 51904*b + 498. Give r(211).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3855\/6)\/(10\/(-200)). Round k to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*y - 630 = 0, 0*y = -4*i - 3*y + 841. Let s = i + -208. Solve 0 = s*r + 47 - 38 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*g = 40710, -59*g + 20360 = m - 58*g. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 673120198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m + 18. Let k(w) = -w**2 - w + 5. Let n be k(0). Let g(b) = -5*b + 18. Let t(u) = n*g(u) - 4*p(u). Is 6 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442.5328 nanoseconds in seconds?\nAnswer: 0.0000004425328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-11 - (-27 + 32)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at least 30978\/3565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 30250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 395949373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(3 + (-5*(sqrt(242) + -1) - (sqrt(18) + -5)*-4))**2.\nAnswer: 1032*sqrt(2) + 3838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 48 - 23 = 8*b + 3*k, -5*b + 7 = k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121681544 - 3?\nAnswer: 121681541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 3528?\nAnswer: 3526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/38161774 and 97\/28?\nAnswer: 76323548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 8:52 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -0.2 (c) 139\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27 - 85 - 17 + 10*y**2 - 26 - 5 - 880*y + 55*y**3.\nAnswer: 5*(y - 4)*(y + 4)*(11*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 + 2*i - 2*i + (-7*i + 7*i + 11*i**2)*(2 - 2 + i) + (2*i**2 - 2*i**2 - 6*i**3)*(22 - 5 + 11))*(2 - 4 + 0) as p + y*i + x*i**3 + k*i**2 and give x.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4*o + 4*b**2*k + 725*b**2*o + b**2 + b + 222271*k*o wrt b.\nAnswer: 24*b**2*o + 8*k + 1450*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 3 (c) -1.63 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -69589*p**3 - 455*p. Let y(h) = 3866*h**3 + 25*h. Calculate 5*v(w) + 91*y(w).\nAnswer: 3861*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hthh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2484591 - 26890*b - 2484591 - 2388*b.\nAnswer: -29278*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159054157?\nAnswer: 37, 47, 91463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3373 or -697?\nAnswer: -3373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 1062 + 1065 - 2136. Let o = 14 - -2. Sort o, m, 1, 4 in descending order.\nAnswer: o, 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Let h be -2*(-3)\/(i + 4). Suppose 5*p + 3*g = 100, -h - 6 = -p + 2*g. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49167 is divided by 24579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -125745.21 rounded to the nearest one hundred?\nAnswer: -125700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5100, 13062, 21024, 28986, 36948, 44910?\nAnswer: 52872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/1*(23 + -19)*(-10967)\/4?\nAnswer: 11, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 + 3. Suppose 5*v = 4*n + 2, 0 = -3*v - 0*n + 5*n - 4. Suppose 4 - 16 = 5*y + v*p, -11 = 4*y + 3*p. What is the nearest to y in -0.5, l, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -674\nAnswer: -3\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjjjjjjrjjjjrj. Give prob of picking 2 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2 - (-1 + -68). Suppose -f + d = -50, -f + 0*d - 4*d + 50 = 0. Let p = w - f. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 c, and 1 i when four letters picked without replacement from {o: 6, l: 2, c: 1, i: 3, h: 5}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.04, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 284\/13875 + 6611153\/804750. Let t = d + -31\/29. Calculate the common denominator of 69\/2 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m**2 - 1163*m + 4388. Calculate p(78).\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*h - 684 - 441 = 1025 + 175 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 4*r. Let m(p) be the third derivative of p**7\/1260 + 11*p**4\/24 - 32*p**2. Let v(x) be the second derivative of m(x). Calculate i(v(w)).\nAnswer: 4*w**4 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.8 less than 279067837?\nAnswer: 279067902.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 2*g - 6126 + 6158, 3*g = -33 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j**2 + 2*j + 2. Let r(q) = -13*q**2 + 2*q + 3. What is 5*d(b) - 4*r(b)?\nAnswer: -13*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/5*(-35)\/15*-3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 1176 = 2616. Suppose -635 = -4*o - 0*o + 5*f, 0 = 2*o - 2*f - b. Let t = o + -55. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99730*o - 86 = -99727*o - 4*d, -o = -3*d + 67 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40793273.\nAnswer: 251, 162523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - 66. Let v = b - -78.9999967. What is v rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26005 is divided by 818?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*g + 4*h, 10 = -5*g + 3*g - 3*h. Let i(r) be the second derivative of 7*r**4\/12 - r**3\/6 + r**2\/2 + 2*r. Give i(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8849 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-180)*(-42)\/63*(-4)\/1.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 40*l**2 - 1. Let i(c) = -2 + 24*c**2 - 13*c**2 - 14*c**2 + 16. Let t(q) = q**2 - 4. Let h(m) = -6*i(m) - 21*t(m). What is h(k(b))?\nAnswer: -4800*b**4 + 240*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021653 rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.20987 days in microseconds?\nAnswer: 4078932768000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 17*k**2 - 20*k + 15. Determine d(18).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrfrrrrrrrrrr. Give prob of picking 1 f and 3 r.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**3 + 6*q**2 - 6*q + 2. Let i(k) = -48*k + 869. Let m be i(18). Let z(y) = 0*y**3 - 4*y + 0 + 9*y - 5*y**3 - 2 - 5*y**2. Give m*w(r) + 6*z(r).\nAnswer: -10*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 735481902 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -49*g - 252. What is v(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3560753 divided by -60.\nAnswer: -3560753\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -209.9999397 - -210. What is p rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n. Let v(x) = -7*x**3 - 5*x**2 + 5*x - 4. Calculate 3*j(f) - v(f).\nAnswer: 7*f**3 + 5*f**2 + f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -291345, -582697, -874045, -1165389?\n\"Answer: 2*j**2 - 291358*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1215*x - 178*x - 794*x + 2557*x + 4329*x in the form y + i*x and give i.\nAnswer: 4699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 982 and 18809719?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {e: 1, v: 19}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*v - 30*v + 8*v)*(549 - 1149 + 542)*(-3 + 2 - 1) in the form i + j*v and give j.\nAnswer: -3828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (560\/6888)\/(125\/(-225))?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5908*m**3 - 7*m**2 - 3842 wrt m?\nAnswer: 35448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -72bb7 - -2?\nAnswer: -72bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/9 (b) 6.6 (c) 2\/13 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-3) + (1 - 3). Let h be 8 - ((-105)\/(-7))\/t. Factor 0 + 1\/9*s**4 + 1\/3*s**h - 4\/9*s + 0*s**2.\nAnswer: s*(s - 1)*(s + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q**2 - 49*q**2 + 19*q**2 - q**3 + 49*q = 0 for q.\nAnswer: -49, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 25 + 17 = 0. Suppose -7 = -3*g + z. Calculate the smallest common multiple of 5 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(252))*-1.\nAnswer: -6*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2 - 25*f**3 + 3*f + 1 + 0 - 2 - 5*f**2 + 79*f**3. Is r(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - m = 1, 3*m - 2*m + 1 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123549155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q**2 + 4*q - 2. Let c be 10\/60 - 14\/12. Let g = c + -5. Let b be (g\/(-2))\/(-1 - -2). What is v(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91322304 - -2500.\nAnswer: -91319804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 12 = -3*v + 1, -3*v = 3*g - 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/69560 and 53\/469530.\nAnswer: 1878120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 592740*u\/7 + 43917588450\/7.\nAnswer: 2*(u - 148185)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1928977*z. Let m(j) = 4*j**2. Determine s(m(t)).\nAnswer: -7715908*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 51\/(-9) - 1\/3. Let u be 317314\/f + 2\/3. Let h = u + 37685. What is h rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5431336?\nAnswer: 2, 283, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15753, 15783, 15809, 15831, 15849?\nAnswer: 15863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 6*q**2 - 3*q - 7. Let v be n(5). Suppose 3*r + 129 = 2*x, v*r - 291 = -0*x - 5*x. Suppose 5*t - x = 180. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y - 4 + 1 - 8*y. Determine n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + 1 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 132.6. Let v(q) = -2*q + 3. Let u be v(4). What is the biggest value in 1\/8, u, -2\/7, d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = l - 5*l - 2*s, 2*s = l - 2. Suppose -l*i + 36 = 3*o, 2*i + 3*i = -5*o + 95. Let q = 8 - 6. Solve k - b + 27 = 4*b, 5*b = -q*k + i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-436)\/(-18) - -1 - (-4)\/(-18). Suppose 29*o - f*o = 448. What is the remainder when o is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(((-60)\/(-16))\/(-5)) is divided by ((-10)\/4)\/(6\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, b: 1, f: 2, x: 10}. Give prob of sequence ff.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-225)*20*(-6)\/(-68)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 3205*h**2 - 112400*h - 398640.\nAnswer: -5*(h + 4)*(h + 33)*(h + 604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2435328?\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-21350)\/781410).\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2153 times 5?\nAnswer: -1.0765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 1. Let o(a) = -a**3 + 8*a**2 + a - 9. Let s be o(8). Let r(p) = 5*p**2 + 5*p - 1. Let u(w) = s*r(w) - 3*y(w). Determine u(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkrkkqrkqrikrqkqrkq. What is prob of picking 3 r and 1 q?\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 26, 352, -5, -3 in decreasing order.\nAnswer: 352, 26, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 7*v + 16 = 0, 88 = 4*n - 4*v. Suppose -4*z + 66 = -2*z. What is the remainder when z is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - 120?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8008072 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.5 (b) -4 (c) 0.027 (d) 10 (e) 4 (f) -114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -37*g**4\/4 - 5*g**3\/6 + 39*g**2\/2 - 7*g - 3. What is the second derivative of b(z) wrt z?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 8:21 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 7:09 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 4*x - 5*b, 4*b = -0*x + 2*x - 60. Let n = -20 + x. Solve n*l = 4*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6080 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/3 - 4618*d**3\/3 + 884722*d**2 + 13367978*d\/3 + 10709192\/3 = 0 for d.\nAnswer: -4, -1, 1157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -773, -755, -729, -695, -653, -603, -545?\n\"Answer: 4*l**2 + 6*l - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 130 + 144 = a, -3*c + 22 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74278ab - 2?\nAnswer: 74278a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2. Let y(k) be the first derivative of -3*k**2 - 2. Calculate y(b(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)\/n**3*(n\/n**(-9))\/n**(2\/7) assuming n is positive.\nAnswer: n**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3, 0.14 in descending order.\nAnswer: 3, 0.14, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 6*a + 2. Suppose 0 = 4*f + 10 + 14. Let v be b(f). Let x = -96 - -769\/8. Sort 5, v, x in increasing order.\nAnswer: x, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -302.06 + 300. Let s = m + 4.46. Which is the smallest value? (a) 4 (b) -2 (c) s (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*k + 21*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 11) in base 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 30. Determine t(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -5)\/4 - (-4 - 1). Let w(a) be the third derivative of 0 - 3\/32*a**4 + 0*a - 2*a**2 + 7\/80*a**c + 1\/280*a**7 - 1\/32*a**6 + 0*a**3. Factor w(d).\nAnswer: 3*d*(d - 3)*(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((2 + -8 - (16 - 3)) + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*k + 603 + 132 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4 - 28*l**3 + 104*l**2 - 132*l + 54 = 0.\nAnswer: 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 6*t**2 + 5*t + 2. Let s(q) = -2*q**3 + 12*q**2 - 12*q - 3. Let o(j) = -13*f(j) - 6*s(j). Is o(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f + 3*f + 4 - 5*f**2 + f**2 - f. Let p(z) = -z**2 - 2*z + 1. Let r(o) = -2*j(o) + 9*p(o). Determine r(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let k = r + 5. Suppose -k*q - q = 0. Let p(o) = -o - 8. Give p(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(2\/35))\/f*f*f)\/((f**(-9)\/f)\/f))\/(f**(1\/4))**(14\/5))**(-2) assuming f is positive.\nAnswer: f**(-857\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2130\/13 - -12793\/78. Solve m*d**2 - 2\/3*d + 2\/3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -76 - -100 - 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 9)*(-10*r + 11*r + 17*r)*(-5 + 0 + 6).\nAnswer: 90*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Let f(o) = -2*o - 16. Let r be f(-12). Suppose -c - d*m = -206, -4*c = -r*c - 2*m + 860. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**6\/9 + 2*a**5\/15 - 2. Factor q(k).\nAnswer: 2*k**4*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Let d be 1\/2*-2*(-22 + 12). Let l(v) = -8 + 2 + 13*v - d*v. Calculate l(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 786*d**2 + 92749*d + 72. Determine m(-118).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 133*i**2 - 44*i + 485. What is the ten thousands digit of d(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 638188038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**2 + h**2 + h**2)*(-114 + 710*h**2 + 114) to p*h**2 + b*h**4 + u + m*h + f*h**3 and give b.\nAnswer: 1420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 48, -4, -451710?\nAnswer: -451710","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:37 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000502360313 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -25\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 170, -3, -53 in decreasing order.\nAnswer: 170, 3, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*l**2*y**2 - 2*d*l*y - d*r**3 + 2*d*r**2*y**2 + 4*l**2*r**3*y - 3*l*r**2*y - 27*r**3*y**2 + r**3*y wrt y?\nAnswer: -4*d*l**2 + 4*d*r**2 - 54*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0*m + 0*m**3 + 1\/3*m**4 + 0 - 10*m**2. Let o(n) = 4*n. What is l(o(a))?\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 1, -202, 0, -51, 11 in increasing order.\nAnswer: -202, -51, 0, 1, 11, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -908000 to the nearest ten thousand.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/15 - -2)\/((-9)\/45)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2569920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2 + a**2 - 2 - 12*a**2. Let i(g) = -2*g. Calculate i(b(t)).\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8025 divided by -1605\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3077*t - 240003. Calculate f(-78).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194274679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2130*m - 418214 - 256100 = -2792*m for m.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135834 is divided by 468?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-752)\/(-90)*(-25)\/(-10))\/(1864\/(-1398)))?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15694904 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 329062 by -2.\nAnswer: -164531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12164114 - -1?\nAnswer: 12164115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 divided by 394?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*(sqrt(56) - sqrt(56)*4)*-5)\/(1*sqrt(32) - sqrt(96)\/(sqrt(12)*-2)))**2.\nAnswer: 157500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 d when four letters picked without replacement from {d: 5, y: 3, n: 1}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20*z**3 - 17*z**2 - 35*z + 17. Let s(v) be the first derivative of 7*v**4\/4 - 2*v**3 - 6*v**2 + 6*v + 107. What is 6*p(d) - 17*s(d)?\nAnswer: d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -49. Let y = 10 - -3. What is the remainder when h is divided by (y + -14)*(-1 + -10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -85 (b) -19 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -585 (base 13) to base 8\nAnswer: -1672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/31? (a) 12 (b) 1\/6 (c) -3 (d) 15 (e) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2 - 11*d + 13*d**2 - 17*d**2 + 16*d. Let l(n) be the second derivative of n**4\/12 - n**3\/6 - n**2\/2 + n. Give -5*l(m) - s(m).\nAnswer: -m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 27*v - 120 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/11 - -13\/44. Let x be (-2)\/(0\/(-3) - 4). What is the second smallest value in -1, -2\/5, t, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 1, p: 2, b: 1}. What is prob of picking 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 8 + 1 + u - 6*u)*(-7 - 3 + 4 + (-2 + 2 - 1)*(0 + 4 + 0)).\nAnswer: 50*u - 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 13*t**6\/2 + 18*t**2 + 30. What is the second derivative of m(p) wrt p?\nAnswer: 780*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29.270718 seconds?\nAnswer: 0.4878453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6076892 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o\/(o*o**(-4\/3)*o))\/o)**(-21)*o**24\/o*o\/((o\/((o*o*o\/o**5)\/o*o))\/o))**(2\/9) assuming o is positive.\nAnswer: o**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13)\/6 - (-14 - 133\/(-7))) + 7. Let v be (54\/10 - 0) + -4. What is the second smallest value in 0.5, v, j, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/30 + 83*w**4\/24 + 4*w**2 + 4*w. Let f(r) = r**2. Determine f(i(c)).\nAnswer: 4*c**4 + 332*c**3 + 6889*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7703*o - 4824 = -7712*o. Calculate the remainder when o is divided by 57.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 5 = 8*d. List the prime factors of (d\/6)\/(6\/414).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -949*m + 6. Let z(y) = -171768*y + 1088. Calculate -544*a(d) + 3*z(d).\nAnswer: 952*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 2*t**2 + 0*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2475 - 2467 - (2 + (-1 + 2 - -14)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4154.45 to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-30) + 3164\/10735.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {z: 2, p: 6, l: 1, s: 2, k: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v + 2. Let w = 8 + -5. Suppose 1 = 2*y - w. What are the prime factors of d(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/19 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q + q - 5*q)*(-2*q**2 + 3*q**2 + q**2) + (-2 - 2 + 2)*(-q - 4*q + 3*q)*(464*q**2 - 33574 + 33574) in the form p + b*q**3 + j*q + i*q**2 and give b.\nAnswer: 1858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188752?\nAnswer: 2, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27954.633 - 27968. Let p = -13.4 - k. Let f = p + 0.0474. What is f rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.117 - 0.107. Let n = y + 0.03. Let d be (0 + -1)\/(3 - 4). Which is the biggest value? (a) -4 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7465 + 7349. What is the closest to 1 in -1\/3, 3, m, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, -153161\/4 in ascending order.\nAnswer: -153161\/4, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*a + 3 + 1)*(6 - 5 + 2)*(7*a - 11*a - a) to u + m*a + t*a**2 and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 7 - (-165 + 157).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c + 30*c - 9*c**2 - 93*c + 8 + 10 = 0. Calculate c.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4547714 and 257014.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2))\/o)\/o)**(-1\/7) assuming o is positive.\nAnswer: o**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 667623 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244215*v + 4*v**2 + 244215*v.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**(3\/13)*m**(-14)\/m**(-3\/14) assuming m is positive.\nAnswer: m**(-2299\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 20*i + 8. Let u be f(-20). Differentiate 4 - 2*q**3 + q**3 - u - 11 with respect to q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 12*o + 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 25 + 9*y**3 + 26.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -46, 4, 0.87, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 - 157. Is (-311)\/(-4) + (-1)\/16*z a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*s + 14 = 0, -5*s + 52 - 30 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408884 at most -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 78459203689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6911 (b) -108 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 23*g**5\/20 + 11*g**4\/8 - g**3\/3 + 46*g**2. What are the prime factors of t(2)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 979248.9 centuries to decades.\nAnswer: 9792489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*k*q + 2*f**3*k - 434*f**3 + 175*f**2*k*q + 3*f**2*q + 3*q wrt f.\nAnswer: -6*k*q + 12*k - 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723*t**2 + 727*t**2 - 1450*t**2 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288661 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.977 + -9.377. Let s = 4 - -1.4. Let v = l + s. Which is the biggest value? (a) v (b) 1.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1054048*c**3*p**3 + 6*c**2*p**3 - 10879 wrt c.\nAnswer: 6324288*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0 + (8 + -1 - 4). Factor -2 + 14*u**4 - m*u - 3*u**5 + 6*u**2 - 17*u**4 + 6*u**3 - 1.\nAnswer: -3*(u - 1)**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 95*o**4 + 56315*o**3 - 411620*o**2 - 371840*o + 96000 = 0.\nAnswer: -600, -1, 4\/19, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2577 and 28\/9.\nAnswer: 7731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 7*z + 1\/4*z**4 + 16 - 5\/3*z**3 - 1\/2*z**2. What are the prime factors of v(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 5 - 5 + (2*o - 3*o + 3*o)*(2*o + 4 - 4) + (-6 - 3*o + 6)*(-1 + 4*o + 1) to a*o**2 + g*o + l and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6405 less than 6250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 20*h - 60. What is the hundreds digit of n(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 864.126 to the nearest 10.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*z + z - 4*z)*(4*z**3 - 4*z**3 + 6*z**3) + 6*z**4 - z**4 + 3*z**4 to u*z**4 + f*z**2 + a + j*z + n*z**3 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + (-87)\/(-30))*(1 + 0). Let i = 251\/2 - 1761\/14. What is the nearest to -0.2 in -1, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -45. Is (-1 - -2*s)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 18*u + 85 = v, 4*v + u - 302 = 0. Solve v*w + 176 = 476 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66*c*j**3 - 3*c*j**2 + 3*c*j + 174*c - 879967118*j**3 wrt c.\nAnswer: 66*j**3 - 3*j**2 + 3*j + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119215313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-175)*-755)\/(-27 - -39) + (-1)\/(-4).\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4630*o + 18526. Determine a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22756 less than 1024.32?\nAnswer: 23780.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 20. Let i(a) = -3*a**3 - 5*a**2 - 2*a + 3. List the prime factors of i(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 271*n - 770. Calculate l(5).\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*l + 148*l - 77 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 14 = -4*f, 20162*f - 4*h + 22 = 20160*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 712, -1343, -4766, -9557, -15716, -23243, -32138?\n\"Answer: -684*p**2 - 3*p + 1399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 20*b. Let y(a) = 27*a**2 - 15*a**2 - 14*a**2. What is y(z(q))?\nAnswer: -800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 250276.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 442, 874, 1298, 1714, 2122, 2522, 2914?\nAnswer: 3298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 6*h**2 - 3*h + 14. Let m be d(6). Let w be -5*(-5)\/((-20)\/m). What is the first derivative of 7*z**2 - 2*z**2 - w + 2 wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*k - 35709 = 0, 0 = 4*l + 3*k - 32768 - 14841. What is l rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - u + 0*u + (3*u - 5 + 5)*(0 + 0 - 4).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - -1)\/(-2) + -6. Let x = c + 8. Solve 8 = -x*d + 20 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 99 = -33. Is -23\/2 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = 29*c + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 299, 297, 295, 293, 291, 289?\n\"Answer: -2*f + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7.57, 1\/3, -0.3 in decreasing order.\nAnswer: 7.57, 1\/3, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g**3 + 4*g**3 - 10*g**3)*(0 + 2*g + 0) in the form x*g**3 + b*g**4 + j*g + l*g**2 + m and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2652.03 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73689*t**5 - 243*t**4 + 181450616*t**2 wrt t?\nAnswer: -4421340*t**2 - 5832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 381662972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 49 - m - 28 - 22. Let q(c) = -4*c**2 - 2*c - 2. Let w(t) = -2*g(t) + q(t). Let a(v) = 8*v**2 - v**2 + v**2 + 7*v**2. Calculate w(a(s)).\nAnswer: -900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1 (c) 275\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:52 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-35)*-1*14. Let q(s) be the second derivative of -s**3\/6 - s**2 - 24*s. Give q(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = q - 2*u, -121 = -q + 3*u + 2*u. Calculate the remainder when q is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from {h: 4, f: 9, k: 1, o: 2}.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 64360*m**2 - 64360*m**2 - 3*m**3 + 7 as a*m + x + r*m**2 + s*m**3 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1426.7? (a) 600 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-1*6)\/(sqrt(800) - (sqrt(800) + sqrt(800)*1 + sqrt(800))).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-9))\/((-10)\/(-3)))\/(16\/20).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(2\/6)\/((-3)\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - 2*f**2 + 7*f - 13. Calculate s(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*j**3 + 26*j - 440 wrt j.\nAnswer: -99*j**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 at most as big as -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098273.3 rounded to the nearest 1000?\nAnswer: 1098000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -15. Let y be (-170)\/1105 + 0 + 0\/(-1). What is the fourth smallest value in -0.5, 1, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101100 + 1010001?\nAnswer: 111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 38788*p + 38789. Determine x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 14.3. Which is the third biggest value? (a) 5 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*g - 40 = 0, 26668*g - 26670*g + 16 = -6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3 + (-2 + 3 - 2)*(4 - 2 + 0) + 2 + 1 - 1)*(-3615 - 103*n - 3607 + 7217).\nAnswer: -103*n - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, and 1 d when three letters picked without replacement from dppppydpytvtpxdpxptp.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 18*w - 72. Determine n(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116192.2ml in litres?\nAnswer: 116.1922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.15 times -56.904?\nAnswer: -7861.2876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000077709 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94601404521\/32910745133 - -2\/27176503. Let q = j + -3\/173. Solve 16\/7*a**5 + 0*a + 0 + 4\/7*a**2 + q*a**3 + 32\/7*a**4 = 0 for a.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Suppose 0 = d*r - 5*r + 20. Solve r = -7*m + 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31895, -63792, -95689?\nAnswer: -127586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i + 14. Let g(c) = -7*c + 13. Let k(x) = x**3 - 8*x**2 - 36*x + 27. Let z be k(11). Let l(q) = z*s(q) + 7*g(q). Determine l(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 269 - 112 = -k + 6*a, 11*k - 6*k + 4*a = 99 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 - 4*i**2 + 4*i**2 + (0 + 1 - 3)*(5 + 6 - 4)*(5 - 2 - 4)*(0 + 0 - i**4).\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64357 - 6?\nAnswer: -64362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*((-10)\/4 - -2). Solve -3*o + 2*q - 8 = 9, m = 4*o + q + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - (-30)\/20. Which is smaller: v or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 3*a = 2*x + 4, -3*x + 34 = -2*a. Suppose 0*q = 4*q + x. Let v be 392\/16 + q\/(-8)*-2. Calculate the greatest common divisor of 168 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -74.\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16677361 and 7?\nAnswer: -116741527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 133\/4. What is the smallest value in o, 1\/3, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.65 + -4.651371. What is x rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163848 + 3230263318\/19715. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t**2 - 4*t. Let n(g) = -36*g**2 - 17*g - 1. Let p(y) = -9*h(y) + 2*n(y). Let r be p(-2). Solve 3*q - 4*x = -7*x, -r = -3*q + 3*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 g when four letters picked without replacement from gttgtggtttttgt?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5 - 2*m**3 - 6*m + m**3 + 7*m**2 + m + 9. Suppose 2*v - n = 11, -6*v + 4*n + 26 = -v. Calculate the lowest common multiple of o(v) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 1)*(948 + 986 + 246 + 260)*(-12*j - 5*j + 12*j) to the form m*j + w and give m.\nAnswer: 36600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 218, 260, 300, 338, 374, 408, 440?\n\"Answer: -q**2 + 45*q + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000172494126 rounded to 7 decimal places?\nAnswer: 0.0001725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -52928558?\nAnswer: -105857116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4366419 months to millennia.\nAnswer: 0.000036386825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 5) in base 15?\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtxttttxxlttttlxtt. What is prob of sequence xt?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.491 or 0.082?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (369 - 123 - 34 - 8)*(-3*r**2 + r**2 + r**2) to z*r**2 + v*r + j and give z.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)\/(sqrt(12) + (sqrt(12) - sqrt(72)\/sqrt(6))))\/sqrt(10) + 5 + -4 + sqrt(125))*-1.\nAnswer: -6*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-15)*(0\/(-11))\/(1\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1529*i = -1528*i + 2*q - 8, 2*i - 6*i - q + 19 - 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8d (base 15) to base 11\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/((-3)\/(-26)))\/2 is divided by (168\/(12\/1))\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01079 - 2.01079. Put 44, t, 0 in decreasing order.\nAnswer: 44, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/20*4\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*a = 0, a = -34 + 36 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34476 or 0?\nAnswer: 34476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1018*c - 22376. Give z(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -824665 > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87443196 to the nearest integer?\nAnswer: 9351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 16, x: 3, e: 1}. Give prob of sequence nxxn.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-134)\/201*(-1)\/((-23)\/3)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -14 (b) 96 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -225 + -1.2.\nAnswer: -226.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -37, 4\/5, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83219326319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + 10 + -9 + 7 - -12 - -9.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/13, 9, -2\/379?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*i - 35 = 0, -i - 24 = -4*f - 3*i. Let w be (9 - 7)*6\/(-4). Sort -5, w, f in decreasing order.\nAnswer: f, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 16. Suppose 5*b + 17 = t. Let d(i) = -9*i. Let r be d(b). What is the greatest common divisor of r and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1929, -3838, -5737, -7620, -9481?\nAnswer: -11314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(57 - 1352 - 2039 - 858)*(5*l - 5*l - l).\nAnswer: 8384*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(648) - (1*(5*sqrt(648) + sqrt(648)) + sqrt(648))))\/(sqrt(72)\/(sqrt(132)\/sqrt(11)) + 2*sqrt(54)).\nAnswer: -216*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = b - 26. Let r be 2*-1 - -8 - 2. Calculate the greatest common divisor of r and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 - (70 + (-84 - -73)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.7589921515 + -35.759. Round n to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218440 divided by 2.\nAnswer: -109220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 263 = d, -4*l + 3*l + 2*d = 264. Let i = l + 414. Let t = 245 - i. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1945 = 530*t - 525*t. Calculate the remainder when t is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-120)*-5*9\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 135. Let g(t) = 2*t. What is g(j(b))?\nAnswer: -8*b - 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*c**2 - c - 76 wrt c?\nAnswer: -78*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1161 - 1952. Let o = -444 - a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5234118547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 6*b - 2*b)*(-3*b + 4*b + b) + 8*b - 8*b + 6*b**2 - 15*b**2 + b**2 - 9*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 13, s: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + x + 54 = 0, -72 = 4*p - x + 3*x. Let y be p\/9 + (6\/1)\/3. Solve -3*s - 5*u - 14 = 18, 4*s + u + 20 = y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67290707.\nAnswer: 11, 6117337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-33) - ((-8880)\/111 - -81)?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 2*g - 1. Let s be h(1). Suppose 0 = -4*j + s, -2 = -d - 2*j - 2*j. Which is the third biggest value? (a) 1 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 51*s**2 - 31*s - 114. Calculate the lowest common multiple of j(-26) and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21b7b (base 14) to base 3\nAnswer: -11011021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -14*p + 2375. What is the remainder when p is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m = -5*k - 231, -807 = -k + 4*m - 738 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**5 - p**3 - p**2 + p - 1. Let l(k) = 63*k**5 + 5*k**3 + 6*k**2 + k + 9. Let v(j) = -6*a(j) - l(j). Find the second derivative of v(t) wrt t.\nAnswer: -1140*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10777*u**6 + u**5 + 724*u**3 - 16*u**2 + 9338499?\nAnswer: -1293240*u**3 + 60*u**2 + 4344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -494396749 or -494396750?\nAnswer: -494396749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 71, 74, 97, 152, 251, 406, 629?\n\"Answer: 2*x**3 - 2*x**2 - 5*x + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -5 (c) 2\/13 (d) 408\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394 = -15*y + 4*b, 63 = -4*y - 5*b - 36 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.5. Let m = -0.0042 - -154.4042. Let q = m + -154. What is the third biggest value in n, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/2280 and -199\/4560.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2. Suppose -4 = -2*y - 0*y. Suppose o = y - 0. Let i(a) = -a**2 - a**2 + a**o. Calculate i(d(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 22 + 4 = 0. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 25 + 34 + 4*u)*(1 + 2*u - 1).\nAnswer: 10*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69198591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = 73*c - 1685 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, -3\/4, 2\/9, 27, -0.0149, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 2*v + 1. Let t(j) be the first derivative of 4*j**3\/3 + 7*j**2\/2 - 4*j + 2. Suppose -2*r = -0 - 4. Let n(d) = r*t(d) + 7*x(d). Factor n(u).\nAnswer: (u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -15) + (-2 - (-3 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 12\/(-14) - (-793)\/(-427). Sort t, -3\/5, 0.05, 2.8 in ascending order.\nAnswer: t, -3\/5, 0.05, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 6) to base 7.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 25 = -15. Suppose 5*a + 105 = 4*u, -48 = a + 3*a + 4*u. Let b = p - a. Calculate the highest common factor of 56 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 900000 = -7*t. Round t to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/2 - -1. Suppose -z - 1 + 4 = 0. Factor -2\/3*p + 0 - 2\/3*p**2 + 2\/3*p**z + h*p**4.\nAnswer: 2*p*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4149 at least as big as -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/70)\/(-2*(8\/40)\/(56\/120))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72\/95 - -3\/19. Let q be (2\/(-3))\/(1\/(-6)). What is the smallest value in -0.2, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-3 + 3 + 1)*(2*v**5 + 3*v**5 - 3*v**5)*(-1 - 3 + 2).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -117319 not equal to -117321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 24*g = 185, 5*a + 49*g - 51*g + 55 = 0 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 169*i - 171*i + 28878. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*t + c, -4*t - 2 - 1 = -3*c. Suppose 3*z = -p + 19, 2*z - t + 12 = p. Let x = 18 - p. Solve n = -x*a + 3, 0 = 2*a + 3*a - 5*n - 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 313903 and 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57120 is divided by 28530?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -0.06 (c) -1\/8 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = -3*p, -6*p + 4*p + 3*q = -6. Suppose 3*y - 4 = -2*n, -5 + p = n + 5*y. Sort -4, n, 3 in descending order.\nAnswer: n, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 5:43 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -2)\/((-4)\/456). Let x = f + -74. Suppose -g = -x - 4. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -304 - 235172?\nAnswer: -235476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Expand (0*q + 5*q - 4*q)*(0 - 2 + 7)*(-4 + 2 - 2).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*d**2*p**3 + 17*d**2*p - d - 15*p**3 - 453*p wrt d.\nAnswer: -62*d*p**3 + 34*d*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 + 38 - 36)*(2 - 7 + 1)*(8*v + 0*v + 3*v).\nAnswer: -3212*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 376*k - 748. What are the prime factors of f(51)?\nAnswer: 2, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 1. Let z be q(-4). Suppose -h - 41 = -4*r - 0*h, -3*h - 33 = -z*r. Suppose 1 - 181 = -2*j. Calculate the highest common divisor of j and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -687848*q**4 - 836973*q.\nAnswer: -8254176*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1217\/21 - 173\/3. Factor 0 - 12\/7*n - t*n**2.\nAnswer: -2*n*(n + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) 7 (c) 57.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10746292651 - 2163?\nAnswer: -10746294814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 35486820300 to the nearest one million.\nAnswer: 35487000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.633314l to millilitres.\nAnswer: 633.314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -1, -5 in decreasing order.\nAnswer: -1, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12186 divided by -1.\nAnswer: -12186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36377703 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -248, -1961, -6614, -15677, -30620, -52913?\n\"Answer: -245*h**3 + 2*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 218112 and 1562.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 523407.\nAnswer: 3663849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0*m**3 + 7\/20*m**5 + 2*m**4 - 6*m + 0 + 0*m**2 - 1\/15*m**6. Find the third derivative of y(b) wrt b.\nAnswer: -48*b + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4280 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1426, 4, -4, 4878, -2, 5, -1.\nAnswer: -4, -2, -1, 4, 5, 1426, 4878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 14, j: 4}. Give prob of sequence yjyj.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46384, -46440, -46532, -46660, -46824, -47024?\n\"Answer: -18*j**2 - 2*j - 46364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 71437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a**2 + 125*a + 5. Let t(v) = 4*v**2 - 62*v - 3. Determine -3*k(s) - 5*t(s).\nAnswer: 4*s**2 - 65*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 859 + -0.9.\nAnswer: 858.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*p + 3*v - v, 4*v = p + 20. Suppose p = -3*f + 2*f - 5*w - 2, -f + 7 = -4*w. Suppose -3*d = d + 12, f*d = -j + 25. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 - 23*q**2 + 67*q + 413. Is s(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78494547.000109 + -78494408. Let v = -28 - 111. Let c = v + i. Round c to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1 - -2) + 277. Let q(g) = -g**2 + 3*g + 26. Let l be q(6). Suppose 0 = o + l*o - j. Calculate the remainder when 86 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00417534818 rounded to 7 dps?\nAnswer: 0.0041753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.6 + -11. Let q = z - -5.4. Which is the third biggest value? (a) -0.1 (b) -6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -1, 50, 85, 98, 83, 34?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -58, -17, 124, 407, 874, 1567, 2528?\nAnswer: 3799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 941501*d**2 - 35*d - 29428327 wrt d?\nAnswer: 1883002*d - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*x = 2, 0 = -5*t + 3*x - 26. Is 14 a factor of ((-115 - t) + -1)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179671, 179010, 178349, 177688, 177027?\nAnswer: 176366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -371.3 times -275.73?\nAnswer: 102378.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8040773 * 21.\nAnswer: -168856233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = 6445 - 6373 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let i(v) = v**2 - 4*v - 2. Let b(a) = a**3 - 5*a**2 - 6*a + 1. Let z be b(6). Let g(k) = z*i(k) + 2*t(k). Let y = -14421 + 14428. Calculate g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5923, -5990, -6103, -6262, -6467?\nAnswer: -6718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -3949*c**5\/5 + c**2\/2 - 63*c + 2951. Find the second derivative of f(p) wrt p.\nAnswer: -47388*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 53 - 1 + 0*r + 18 to q*r + k and give k.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90170 and 1065.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllglllllllgl. What is prob of sequence ll?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6852107 is divided by 3977?\nAnswer: 3713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 5*i - 2. Let m be o(-4). Suppose 0 = -5*c - m*v + 337, -3*c + c - v + 135 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 3245605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -142*i - 3629 + 5421 - 21246. Which is the third biggest value? (a) i (b) -3 (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, -5 in increasing order.\nAnswer: -5, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117468 by 78.\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8cc0b (base 15) to base 13\nAnswer: 12901a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70851 is divided by 2066?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (330\/(-121550))\/(15*7\/350)\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q. Let o(i) = 13*i**2 + i + 30. Let s be o(8). Let j be (-11)\/(-120) - 116\/s. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67734 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990147372 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46815 + 79291 - 1847 = -7763*p - 38764 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3625)\/75 + -63 + 112.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -42. Suppose -120 = f*w - 28*w. Let j be ((9\/w)\/((-1)\/(-4)))\/(-6). What is the second smallest value in 0, j, 0.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:19 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*b**2 + 6*b**2 - 147*b**2 - 30*b**2.\nAnswer: -229*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6) + 3\/12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2036 and 9449076?\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/9 and -57\/2138.\nAnswer: 19242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (72\/(-45))\/((-1)\/5). Suppose -7*l + p = -5*l. Solve -t + l = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -1\/2*x**2 - 1 + 0*x. Calculate n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9474, -38042, -85704, -152460?\n\"Answer: -9547*s**2 + 73*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -9. Let z be (-10)\/m*(-6 + 27). Suppose 0 = -5*c - d + z, d = -4*c - 4*d + 7. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 + 142. Calculate the remainder when 359 is divided by (6\/4)\/(x\/1290).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.113 to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 17 = -3*q - 47, 3*f = q + 59. Let w = -32 + f. What is the common denominator of w and 14\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-11)*3\/2. Suppose -5*r - 2*j = -7680, -16*r + 21*r + k*j = 7675. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66605 is divided by 2561.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5.6. Let g = 0.4 - d. Let k = 0.4 + g. What is k rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-35) - 0)\/((-3)\/1935). Let r = h - 233. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13233193 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 13\/3*n**4 + 2*n - 48 + 0*n**2 + 0*n**3. Let q(o) = 2*o**2. Determine i(q(u)).\nAnswer: 208*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q + 34. Let z(i) = i**3 + 13*i**2 - i - 23. Let c be z(-13). What is the units digit of n(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v. Let d(g) = -12*g - 3. Determine r(d(k)).\nAnswer: 36*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/4 - 5*r**4\/12 + 5*r**3\/6 + 3606*r. Calculate p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 14*z**3 - 13*z**2 - 15*z + 22. Let y(w) = 4*w**3 + 3*w - 1. Let i(s) = -r(s) - 5*y(s). Let v(o) = 17*o**3 - 6*o**2 + 8. What is -6*i(k) - 13*v(k)?\nAnswer: -17*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide (((-646)\/(-18))\/((-11)\/(-33)))\/((-1)\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 161455?\nAnswer: -161451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 5825 = -3*b. Let y = -2339 + 2345. Is ((-38)\/y)\/(b\/(-195) + -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34230 by 2445.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 5*y**2 - 4*y**3 - 2*y**3 + 2*y**3 - 2*y**3 + y**3 - 2*y**3 + 0*y**3 + 1 - 1 + y**3 + (-1 + 1 + y)*(y**2 + y**2 - 4*y**2))*(-y + 0 + 0).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20340 (base 7) in base 3?\nAnswer: 20211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(243)*2*-2.\nAnswer: -180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -83. Let d = 28 + y. Which is the nearest to -4? (a) 0 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318061281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftr when three letters picked without replacement from pdtrfccfrrfrfrd.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 2, e: 3, n: 3, x: 7, l: 1}. Give prob of sequence xwj.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) -1\/8 (c) 3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 276*z**2 - 5376*z - 20480.\nAnswer: -4*(z + 5)*(z + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 42. What is the units digit of u(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2613054*a**4 + a**2 - 3446124*a wrt a.\nAnswer: 31356648*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-867.4.\nAnswer: 173.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - k + 1. Let t be i(-2). Let z = 56 + -122. Let n = 96 + z. Calculate the greatest common factor of n and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8570?\nAnswer: 2, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (1 + -3 - -2). Suppose -4*u = -m*u + 2. Sort u, -4, -3 in ascending order.\nAnswer: -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(1\/4))*w)**(-1\/16))**(-1\/13)\/((w**(-1\/2)\/(w*w*w**(-5\/4)))\/((w*w*((w\/w**(-1\/4))\/w)\/w*w)\/w)**(-36)) assuming w is positive.\nAnswer: w**(-36397\/832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 0.1, -0.1, -1\/12, -21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*o + 12, 2 + 4 = -3*s. Let u(d) = -2*d. Give u(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 3:36 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3183286 to the nearest integer?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, v: 2, e: 5, r: 1, a: 8}. What is prob of picking 1 v and 1 r?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011100010011 (base 2) to base 3.\nAnswer: -220221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -218 (base 10) to base 5.\nAnswer: -1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l + 9. Give k(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1232?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 109 + 7?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145654.\nAnswer: 2, 19, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/911777 and -139\/60.\nAnswer: 54706620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnn when three letters picked without replacement from {w: 7, n: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 969651.3 decades?\nAnswer: 96965.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -78.4 and -0.2.\nAnswer: 15.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 854 and 3913.\nAnswer: 477386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 72.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18493*c + 36928*c + 21*c**2 - 18435*c.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1280496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + 6*(sqrt(11) + sqrt(11) + 0)).\nAnswer: -36*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1522 = 64*c + 80*c + 186 - 6152 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 14*x + 1. Let v be i(-1). Suppose -5*a - 99 = n, -2*n = -13*a + 8*a - 87. Let j = v - a. Solve -l - j = -s, s - 4*l - 14 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -28, -84, -142, -190, -216, -208?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2. Let n(y) = -2*y + 36. Let q(p) = -4*n(p) - 72*v(p). Let s(f) = 2*f**2. Determine s(q(b)).\nAnswer: 128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8879, -4, 5, 22 in decreasing order.\nAnswer: 8879, 22, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 81. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvva when four letters picked without replacement from vavvvapa.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h - 74 + 20 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 2 - 6*t**2 - 5*t + 6. Let z be w(2). Let r = z + 28. Solve -4*o = 16, -4*o = -2*p + r*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*t + y, 3*t = -2*y + 3*y + 44. Suppose 18*h - 4 = t*h. Find the first derivative of -8*k**2 + 4*k**4 - 13 + 5*k**h + 3*k**2 wrt k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o*o**(-6))\/o))\/(o\/(o\/((o\/o**(-15)*o)\/o))))\/((o*o**(-11)\/o)\/o*o**15*o) assuming o is positive.\nAnswer: o**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5236, -10467, -15694, -20911, -26112, -31291?\nAnswer: -36442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 6. Let a(j) = -2*j + 5. What is -7*a(p) - 6*g(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -194 - -196. Let j(n) = n**2 - 15*n. Let v be j(15). Which is the closest to v? (a) -0.4 (b) 1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 4 + 10*y - 5*y + y. Calculate t(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1207120 divided by 790\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31066 - 31066. Which is the biggest value? (a) 0.4 (b) 3\/10 (c) -0.3 (d) 0.12 (e) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3 + 0*v**2 - v + 2*v**2 - 5*v**2 + 2*v**2. Let h = 49 + -26. Suppose 4 = 4*c + 4*p, c - p = 4*p - h. Give s(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:50 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -306 + -1ed?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1253, -4935, -11073, -19667, -30717, -44223, -60185?\nAnswer: -78603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 122*a**3 - 28*a**2 + 3*a + 5. Let j be f(-13). What is j rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((4 - -9) + -1 + -4) - -41 - -11.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 102229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 9*y**2 - 3*y - 12. Suppose -2*t + 26 = -t. Suppose -3*q - 1 = t. What are the prime factors of j(q)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.0000004. Round f to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30864 divided by -3\nAnswer: 10288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 4. Let d be w(-4). Suppose d = 4*p - 100 - 36. Let h(j) = 268*j + 4. Let n be h(1). What is the highest common factor of p and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -53*x - 743. Calculate b(-13).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*f + 6*f. Suppose -n - 3*n + f = 0. List the prime factors of 15\/n*(0 - -2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/1)\/((-1)\/(-31)). Suppose 4*t - 3*b - 9 = 0, 4*t - b = a - 12. What is the highest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**4\/4 - 5*t**3\/3 + 7*t**2\/2 - t - 1. Give x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17412377 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5362016 is divided by 11890.\nAnswer: 11516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 12:07 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 8:16 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a day in seconds?\nAnswer: 2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22480000 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*b + 37, -4*d - 78435 + 78422 = -7*b - 0*d for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**3 - 44*u + 44*u.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39606601?\nAnswer: 127, 181, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**4 + 1204*l**3 - 95808*l**2 + 776720*l - 682112 = 0.\nAnswer: 1, 8, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2134a4 + 1?\nAnswer: 2134a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**24*u*u**(2\/39) assuming u is positive.\nAnswer: u**(977\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 14*l**3\/3 - l**2 + 3*l. Let c be j(4). Round c to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 49. Let k(a) = -5*a + 50. Determine -5*k(d) - 6*z(d).\nAnswer: d + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*q - 4. Let p(a) = a**3 - 3*a**2 - a. Let w be p(q). Let g = w + 10. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 5*w = -6*o - 34, -34 = -3*o - w. What is the least common multiple of o and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 7555487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3ba - 8?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1740*d = 1855*d + 3565 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34878433 rounded to the nearest one hundred thousand?\nAnswer: -34900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-2) + -2)*-5. Let v(m) = -m**3 - r*m - 3 - 1 - 5*m**2 - m**2 - m**3. What is the tens digit of v(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.1937319 * -0.1.\nAnswer: 0.31937319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -22, -2628 in descending order.\nAnswer: -5, -12, -22, -2628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-3 - -7 - 8) + 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = -t + 28, 8 = -4*t + 4*k. Let j(d) = -t*d + d**3 + d**3 - 2*d**2 + 2*d**3 - 3*d**3 - 1. Let h(m) = m + 7. Let s be h(-4). Give j(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 9*x**2 + 11*x + 6. Let m be -20*(0 + ((-5)\/2 - -2)). Determine i(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31275.1 to the nearest one hundred.\nAnswer: -31300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*g - 40 = -132*g. Calculate the smallest common multiple of g and 57.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 m when three letters picked without replacement from qmllllqllqllql?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -2) + 7 + 35*(-5 + 8). Calculate the highest common divisor of 2412 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 19022516?\nAnswer: 76090064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -499. Let n(s) = s + 8. Give 2*n(d) + z(d).\nAnswer: 2*d - 483","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j = -33*j - 31*j - 77 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/167 + -352\/1503. Sort 1.7, -2, s in decreasing order.\nAnswer: 1.7, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1262920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = 0, 776 - 4750 = -2*v - 7*y. Calculate the smallest common multiple of v and 55.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2. Let c = 3840 - 3843. Let r(q) = 4*q**2 + q - 28. Determine c*x(s) - r(s).\nAnswer: -s**2 - s + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r. Let g(s) be the first derivative of 1\/3*s**3 + 0*s + 0*s**2 + 1. What is g(q(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e0 (base 15) to base 5.\nAnswer: -12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j*s**5 - 26*j*s**4 - 3*j*s**2*v - 3*j*s*v + 342*j*s - j*v wrt s.\nAnswer: 60*j*s**3 - 312*j*s**2 - 6*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -979, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -340476 - -340475.99720411. Round l to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, 5, 62 in decreasing order.\nAnswer: 62, 5, -1\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**6\/120 - 2*j**5\/15 - j**4\/4 - j**3\/3 + 650*j**2. What is q(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*g - 40 = m, 0 = 5*m + 3*g - 315. Calculate the highest common factor of m and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4340 and 20615.\nAnswer: 82460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1734, 3427, 5150, 6915, 8734, 10619, 12582, 14635?\n\"Answer: 2*w**3 + 3*w**2 + 1670*w + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4, 2*o + 3*o + 2044 = -4*a + 2092 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npnp when four letters picked without replacement from nuunnpppp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 40. Let t(m) = m**2 + 9*m + 4. Let w be t(-9). Let v(r) = w - i*r**2 + 57*r**2 - 4. Let s(d) = -2*d. Calculate s(v(f)).\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 335121, 670237, 1005349, 1340457, 1675561?\n\"Answer: -2*w**2 + 335122*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -11. Suppose 0 = -4*z - 3*d + 7, 0 = d - 0 + 3. Suppose -z*f = f. Solve -5*a = -30 + t, f = -o + a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2003, -4, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 2450?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26041 and 0.5?\nAnswer: -13020.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by -4\nAnswer: 169\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 486, 485, 484, 483, 482?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16a59 (base 11) to base 4\nAnswer: -11311131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 4\/9, 0.3, -0.4 in descending order.\nAnswer: 4\/9, 0.3, -0.03, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1026999 to three dps.\nAnswer: 2.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 190*t + 382*t - 206*t in the form y*t + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*36\/(-15))\/((-27)\/(-63)*(-7)\/2).\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**2 - 2*z - 3. Let c be y(2). Which is smaller: 6\/7 or c?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j + 21 = -5*m, 2*m + 7 = 3*j. Let o = -25 - -22. Let t be (-140)\/(-25) - o\/m. Solve -5*u = -u - 5*r, t*r - 10 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*t = 6*t - 18, -5*u = t + 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01938 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = n + 3*n. Let g be (-2 - 7\/(-3))*n. Suppose g*s + 1 = 16. Solve -2*f = 1 + s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.622022 grams in kilograms?\nAnswer: 0.001622022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -26.38762.\nAnswer: 22.38762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -128, -217, -366, -575, -844?\n\"Answer: -30*a**2 + a - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 0 (c) -20 (d) -15 (e) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6135497161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.176 - 4.824. Let r be 4\/6*9\/6. Which is the second smallest value? (a) x (b) -0.1 (c) -0.04 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -223 + 483. Calculate the highest common divisor of 104 and z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(210)*2 + sqrt(210)))\/(-1*sqrt(320)))\/(4*(sqrt(6) - (sqrt(216) - sqrt(216)*2 - sqrt(216)))*2).\nAnswer: -9*sqrt(7)\/416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 739 - 386 = 0. Let a be 2\/(-5) - (-754)\/10. Let r = q - a. Solve -4*c + 6*c + 10 = r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152 by -1.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 1, l: 2, k: 2, f: 6}. What is prob of picking 1 b, 2 l, and 1 f?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12079 + 12303. Solve 12*g + 152 - q = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -16*l + 11. Let x(f) = -3*f + 2. Let i(k) = -2*d(k) + 11*x(k). Let b(u) = -4*u. What is b(p) - 6*i(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7 + 10 + 2*p + 1 - 13. What is z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 31*p + 38*p.\nAnswer: 62*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 1. Suppose -k + 0 = -w. Suppose -k = p - 3*p. Solve -5*t = 4*g - 7, p*g + 0*t - t - 16 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 - 1520*u + 3108*u + u**3 + 3*u**3 - 12 - u**2 - 1482*u as p*u + r + h*u**2 + z*u**3 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 31*n**2 - 25*n - 331. Let x be g(-30). Is x at most as big as -483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlwq when four letters picked without replacement from aadadwaaaddawwawlqaq.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 37277503 and 37277506 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/13))**23\/((w\/w**(-2\/25)*w)\/(w\/(w\/w**(-9)))) assuming w is positive.\nAnswer: w**(-1301\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2936473812 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 54. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 733858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -46*y + 5. Let d(n) = 9*n - 1. Calculate -22*d(o) - 4*z(o).\nAnswer: -14*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -37*u. Let b(c) = -10*c. Calculate f(b(x)).\nAnswer: 370*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190.74 - 190.54. Which is the nearest to 1\/2? (a) q (b) -1 (c) 5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0*n**2 + 0 + 14*n - 1\/4*n**4 + 4*n**3. Find the second derivative of f(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10113213300 (base 4) in base 15?\nAnswer: -179553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4497 - 22369\/5. Let q = x + -587\/10. Find the common denominator of q and 2*(35\/(-24) + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 407*o - 19789. Calculate j(50).\nAnswer: -1939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14476 = 69*f - 91*f. Calculate the greatest common divisor of f and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {b: 1, k: 2, e: 3, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (20 - 41)) + (-6 - 1)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4605526 is divided by 49?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10888, 21891, 32894?\n\"Answer: 11003*z - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1710939 to four decimal places.\nAnswer: -0.1711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**8*u**(-7))\/(u*u\/(u*((u*u*u**(2\/11))\/u)\/u)*u)**(-2\/35))**(-17) assuming u is positive.\nAnswer: u**(-1445\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+3532297\nAnswer: 3532296.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -11. Let h be (18\/t)\/((-9)\/6). Let g(y) = 16*y - 6. Let i be g(h). What is i rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*q**3 - 262*q*v**2 + 56007*v**2 with respect to q.\nAnswer: -36*q**2 - 262*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**6\/480 + x**5\/48 - 11*x**4\/48 + 2*x**3\/3 - 347*x**2. Factor t(f).\nAnswer: (f - 2)*(f - 1)*(f + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(9) - sqrt(128)*3 - (((sqrt(242) - (sqrt(242) + 1) - sqrt(242))*-5 - sqrt(242))*5)**2.\nAnswer: -97425 - 11028*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/(-40)*((243\/24)\/(78\/(-104)) + 1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n**4 - 12*n**4 + 2*n**2 + 0*n**2 + 4*n - 3*n - 114 + 122 to the form d*n**2 + q + p*n + u*n**3 + a*n**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 - 144. What is the units digit of (-1338)\/(-5) - (-36)\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/5 - (-9)\/15. Let i(c) = 3*c + 53. Let f be i(-16). Solve -u*x + 3*k + 2 = f, 2*k = 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - (-49)\/28. Suppose 0 = 3*r - p*r - 2. What is the least common multiple of 3 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 19.2, -2\/15, -1\/3?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 4539.8 and 645 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - (-7 - 889\/(-28)). Which is smaller: -19 or b?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 1, -20, 9, -5, 210?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14813 - -14821. Let i(l) = 6*l**2 - 44*l - 29. Calculate i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 6*i**2 + 2*i - 6. Let g(f) = -15*f - 78. Let c(n) = 7*n + 36. Let d(k) = -13*c(k) - 6*g(k). Let j be d(5). What is o(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g - 1. Let h be o(-4). Let y be 5\/(-4)*54\/h. Is 1 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 53875?\nAnswer: 53873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (885 - -1)*7\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1.8. Let l = 0.5 - a. Let c = 4.7 + l. Put c, -1, 1\/2 in increasing order.\nAnswer: -1, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 94582*m + 18. Let d be u(1). What is d rounded to the nearest 1000?\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58566861.561193 + 184055452.438724. Let m = x - 242622475. Let u = 161 + m. Round u to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 58 - (236 + -301) - (127 - 1)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1060*r**2 - 29*r - 29. What is b(-1)?\nAnswer: -1060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**7\/126 + r**6\/45 - r**5\/60 - r. Factor v(u).\nAnswer: -u**3*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*3.9\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17.8603 * 0.1\nAnswer: 1.78603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ypxybxpyxbbyfpbf?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -451 + 484. Suppose 0 = 5*s - y - 2*y + 100, -80 = 4*s + 3*y. Let d = s + q. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.9 - -6.6066711.\nAnswer: -0.2933289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/120 - o**5\/12 - o**4\/24 + o**2. Calculate the remainder when 9 is divided by n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*j - f - 0, -j + 2*f - 6 = 0. Put 5, j, 3, -9 in increasing order.\nAnswer: -9, j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + 19*u + 5. Calculate b(-9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 2, l: 3}. What is prob of picking 1 v and 1 l?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54.5 - 55. What is the closest to -0.09 in -1, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 64*t**2 - 50*t - 241. What is the hundreds digit of c(62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/13 (b) 0.1 (c) 0.3 (d) 5 (e) 28.163 (f) 0 (g) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s - 7*s - 14*s - 78 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2\/s)\/s**(-10))**(2\/27) assuming s is positive.\nAnswer: s**(22\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = 0, -30*v + 25*v + 2*n = 50605. What is the hundreds digit of v\/(-27) + 3*10\/135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**3 + 2*o**2 + 10*o + 14. Let g(l) = -4*l**3 - l**2 - 10*l - 14. Let z(x) = -6*g(x) - 5*s(x). What is the tens digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18605687 - 12?\nAnswer: 18605675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1541521468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**3 - 4*w**3 + 5*w**3)*(2 - 3 - 3 + (-5 + 2 + 2)*(0 + 2 - 3) - 4 - 1 - 4) to v*w**2 + n*w + j*w**3 + a and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + k + 0)*(2*k + k - 4*k) - 1 - 3*k**2 + 1 + 137*k - 137*k + 7*k**2)*(13 + 48 - 7).\nAnswer: 162*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 19*p**2 + 15*p + 32. Let f be l(-2). Suppose 77*o - f*o + 5 = 0. Solve 2*h = o*s - 16, 4*s + h - 10 = 4*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4102, -8194, -12252, -16258, -20194, -24042, -27784?\nAnswer: -31402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 8:45 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/21 + 5\/56. What is the common denominator of -63\/22 and t?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 182*j. Let s(g) = -2*g**2. Give p(s(h)).\nAnswer: -8*h**4 + 364*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a microgram in nanograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17974725 is divided by 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 3 in increasing order.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10*-5*4. Let v be ((-16)\/12)\/r*6\/8. Which is the closest to -0.2? (a) v (b) 4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2\/2 - 75*k\/2 + 39 = 0 for k.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(4*3)*120\/8. Let w(k) = k**3 + 5*k**2 + k - 4. Calculate w(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppoo when four letters picked without replacement from popvvovoopv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let f = -2\/1147 - -2308\/8029. Which is the second smallest value? (a) f (b) r (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2\/3 (b) -2\/17 (c) 0.1 (d) 12\/5 (e) 177 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -15, -3*f = 3*o + 2 + 25. Let s(b) = -5*b - 48. Let l be s(o). Solve 11*h - l = 7*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a factor of 1742478893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40587 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*f**3*i**4 - 173*f**3*i**3 + 8496*f**3 wrt i?\nAnswer: -96*f**3*i**3 - 519*f**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*c + 1)*(-105*c - 161*c + 22*c - 115*c) + c - c**2 - c.\nAnswer: 717*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -15*w - 1. Let i(p) = -4*p + 15. Determine i(k(f)).\nAnswer: 60*f + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + (-16 - -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12401 - -12483) + 4 + 0 + 2?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 844015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-60))\/((-20)\/(-45)*3)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/4438 and -20\/9.\nAnswer: 39942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdbqb. What is prob of picking 1 q and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*-1)\/sqrt(8) + -4.\nAnswer: -4 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 758b89 - -6?\nAnswer: 758b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 737946394*x**2 - 368973203*x**2 - 368973201*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 708583000 rounded to the nearest 1000000?\nAnswer: 709000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 9. Let y be 11\/(-2) + 1\/2. Let u(a) = -a**3 - 4*a**2 + 6*a + 8. Let h be u(y). Solve 3*b - c*b = h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 4*o - 3. Let f(j) = -j + 1. Let b(m) = 4*f(m) + t(m). Suppose -2 + 0 = -x. Let i(r) = 3*r**3 + 2. Calculate x*b(h) - i(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 5*k**4\/24 - 7*k**3\/6 + 997*k**2. Calculate w(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*f**2 - 10*f**2 - 42*f**2 - 6*f + 2*f**2 in the form j*f**2 + a + q*f and give j.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2 + v - 7 + 8. Let d(r) = -2*r + 2. Determine -2*d(p) - 3*x(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*l - 22*l + 19*l)*(16*l**3 + 19*l**3 + 45*l**3).\nAnswer: 3840*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 68*t - 71*t. Calculate the remainder when t is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2075 and 1991875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*a = 8, -3*g + 210*a = 208*a - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 10. Let r = -104 - -63. Let q = 41 + r. Determine f(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/3 + (620\/(-160) - 1\/8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + c**2 - c + 1. Let r = -2 - -3. What are the prime factors of d(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 1. Let p(c) = -6*c**2 + 5*c - 2. Calculate -3*m(z) - p(z).\nAnswer: 6*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = -u, 0 = -u - 5*y + 20 - 6. Find the common denominator of (-1)\/9*(-30 - (u + 5)) and 73\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 - 4*j - 3. Is 33 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9 = f, -5 = -2*s - 3*f + 2*f. Let v be 0*s*(-3)\/12. Solve v = -3*b - 5 - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 11 + 21)*(13*n + 5*n - 3*n).\nAnswer: 60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 15, -4*h - 2*i - 97 = -107 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 22 = 4*s, 6*s - 16 = -4*f + 2*s. List the prime factors of (f + -12)*1\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 2*l + 80. What is the least common multiple of l and (-2 - 0) + -5 + 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**11\/332640 + d**9\/30240 - d**7\/5040 + d**5\/20 + 3*d**2. Let x(m) be the third derivative of a(m). Factor x(t).\nAnswer: -t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.37739\nAnswer: 0.075478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(25*y**4 - 9*y**4 + 3*y**4) - 1 - y**4 + 1 + (-y**2 + 0*y**2 - y**2)*(2*y**2 + 2*y**2 - 5*y**2).\nAnswer: -37*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 20*q**2 + 2*q - 24. Let u be v(10). Is 101 + (u - (1 - (0 - -3))) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + m - 1. Let g be (-172)\/(-36) - (-2)\/9. Let j(r) = -9 + 22 + 5*r**2 + 0*r**3 - 25 + 2*r - r**3. Let a be j(g). Give l(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/((-4)\/2))\/(49\/(-28)). Let q = -189\/5 - -38. Which is the nearest to p? (a) q (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 1\/34*r**4 + 1\/170*r**5 + 2\/17*r**2 + 28*r + 0 - 1\/255*r**6 - 5\/51*r**3. Factor w(s).\nAnswer: -2*(s - 1)**3*(s + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-20))\/(-6)*((-80)\/1)\/(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538 = 18*p + 240 - 242 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((1 - -2) + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5818550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010 (base 2) in base 4?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - q - 3*q**2 + 17*q - 17*q + 5*q**2 + (-q + 3*q - q)*(-31*q + 17*q - 34*q).\nAnswer: -46*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 3. Let w(y) = y. Suppose 1846 = -573*t - 768 + 322. Give t*w(r) - b(r).\nAnswer: -5*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 1:51 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 24 = -4*w. Let r(l) = -4*l**3 + l**2 - 8*l - 6. Let i(v) = 5*v**3 - v**2 + 9*v + 7. Determine w*i(a) - 7*r(a).\nAnswer: -2*a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, 13, 39, 79, 133?\n\"Answer: 7*r**2 - 9*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 495\/2 - 739\/3. Let u(v) be the second derivative of -2*v - 8*v**2 + m*v**4 + 0 + 26\/3*v**3. Factor u(c).\nAnswer: 2*(c + 4)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/8338 and 121\/10.\nAnswer: 41690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29168690449 + 0.3?\nAnswer: 29168690449.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2. Let c(j) = -395*j**2 + 7*j - 14. Let a(b) = 131*b**2 - 2*b + 4. Suppose q - 36 = 19*q. Let o(z) = q*c(z) - 7*a(z). Give o(g(u)).\nAnswer: -508*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2) + -2 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 a factor of 246071999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103 - -95) + 0 + 0 - 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -11*t**4\/21 + 488*t**3 + 1864*t**2\/7 - 6*t + 98. Determine r, given that o(r) = 0.\nAnswer: -2\/11, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxxx when four letters picked without replacement from ooqoqooqxooooooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103990*g**3 + 480*g**2 + 19*g.\nAnswer: 623940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 35 + 617*k + 619*k + 613*k - 4 - 1843*k. Let t(o) = -2*o + 1. Let j be t(3). Let h be q(j). Is 1\/3 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.876 + -0.224. Let a = -14.1 - y. Put 3, 4, a, -1 in decreasing order.\nAnswer: 4, 3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -11508 and -11508 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 19 = -3*y + 3*u, 5*u = -3*y + 19. Let j be (6\/8)\/(y\/(-8)). Suppose 2*s + 2*c = s - j, -s - 3*c - 6 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1774 - -1776. What is the closest to -1\/4 in -1, f, -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 6*j**2 - 17*j - 36. Let a be y(-4). Solve -3*s = -a*s + 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s + 106 = 2*o, -241*o + 4 = -236*o - 3*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -45*i - 3. Let m be g(-1). Let o = m + -6. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + w = -31 + 2, -2*k + 4*w + 4 = 0. Suppose 4*z + k = 28. What is the second derivative of 6*h**z + 18*h - 11*h - 5*h - 9*h wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -363, -185, -11, 159?\n\"Answer: -2*t**2 + 184*t - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4 - 1611*m**3 + 17466*m**2 - 56916*m + 56808 = 0.\nAnswer: 2, 3, 6, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*x - 114998, 4*c + 2*x - 136974 = -44976. Round c to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/5 + b**4 - 8*b**2 + 16*b - 48\/5.\nAnswer: -(b - 2)**4*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184384 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + sqrt(18).\nAnswer: -4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -3, -988, -87, 4, 1 in descending order.\nAnswer: 8, 4, 2, 1, -3, -87, -988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, -5, -4 in increasing order.\nAnswer: -5, -4, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.6367293 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -20\/7 (c) -124 (d) -0.4 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 2*n + 14, 3*u - 4*n = -16. Let m = u - -8. Suppose m*c = -3220 + 460. Round c to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -102*y - 19. Let a be n(-3). Suppose 0*i + i - 21 = 0. Suppose -a = -7*p - i. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/(sqrt(12)*3))\/(sqrt(539)*-5))**2 + 0.\nAnswer: 1\/3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*h + 14, 2*h - 6 = -4*n - 32. Let y(j) = j**2 + j. Let z(t) = 20*t**3 + 5*t**2 + 5*t. Calculate n*y(o) + z(o).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -425\/89 at most 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772 + 2764*x**2 - 315 - 2735*x**2 - 530.\nAnswer: 29*x**2 - 1617","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29520 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - a**2 + 5. Let h be l(0). Suppose h*d - 3 = 2*d, 4*d - 4 = -g. Let c(t) = -t**3 + 5*t**2 - 5*t + 3. Let j be c(4). Which is greater: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.02741 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -24056*u + 124. Let y be x(4). What is y rounded to the nearest 1000?\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 4. Suppose 0 = 4*f - 3*f + 16. Let m = c - f. Calculate the smallest common multiple of 2 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7329\/(-735) - (-12)\/21)\/(82\/10 - 8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 4*s + 1. Let n be u(3). Let b(m) = -m**2 - 6*m - 5. Let g be b(n). Is 21 a factor of 36 + (-2 - -3) + g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6135.901m in kilometers?\nAnswer: 6.135901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 - 5*c + 1. Let q be g(6). Suppose 6*v + 3 = q*v. Suppose 2*w + 238 = v*p, 0 = -p + w + 3*w + 76. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001716 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9 = -0*g. Let r(s) = s**3 - 4*s**2 + 5*s - 3. Let z be r(g). Suppose -z*q + 6*q - 45 = 0. What is the highest common divisor of q and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3947*v**4 + 752 with respect to v.\nAnswer: 15788*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + 3)\/(-8)*422. Let m = a - 157. Calculate the greatest common factor of 36 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2924.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaaaaaqaqahhhkahakf. Give prob of sequence kkaq.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45 from 2384366.\nAnswer: 2384321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1744701.3068 + 5.1\nAnswer: -1744696.2068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 15*w**2 + 4*w - 1. Let x(s) = 46*s**2 + 13*s - 2. Let b(p) = 7*j(p) - 2*x(p). Is b(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*h - 2, 2*c = -573*h + 574*h - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*f*i*s**3 + 9*f*i*s**2 - 45*f*i*s - 2*f*s**3 - 41*s**3 wrt s?\nAnswer: 96*f*i - 12*f - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 11:24 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 452*c + 10102*c + 1159*c + (3 - 2 - 2)*(c + 3*c - 2*c) + 5*c - 3*c - 4*c.\nAnswer: 11709*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/116*(-12)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -29*y**3 + 4*y**3 - 12*y**2 - 35*y + 7*y**3 + 11 + 9*y**3 + 10*y**3. List the prime factors of b(16).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f + 2 + 0 - 2*f**2 - 2*f**3. What is the smallest common multiple of i(-3) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w - 25. Let z be y(-9). Let v be 1 + z + 0 - 3. Suppose 15*a - 11*a - 216 = v. Calculate the smallest common multiple of 33 and a.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 4*a - 2. Let d be p(4). Let t(l) = -l**3 - 8*l**2 - 9*l - 7. Let r be t(-7). Let u = r - d. What is the remainder when 16 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/7 (b) -2\/3 (c) 806\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/5, -1, 1\/15, 0.18 in decreasing order.\nAnswer: 27\/5, 0.18, 1\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:13 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.37074.\nAnswer: -0.037074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/360 + 3*u**3\/2 + 4*u**2. Let h(a) be the first derivative of o(a). Let g(l) = 5*l**2. Determine h(g(p)).\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + u = 2*i + 1, 0 = 2*u - 6. Suppose i = -f + 7. What is the third derivative of -8*c**5 - c**4 + 7*c**f + c**4 + 2*c**2 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1327, -2, 5, -66 in ascending order.\nAnswer: -66, -2, 5, 1327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 272, 274, 276?\n\"Answer: 2*k + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-29190785)\/8 + (-14)\/(-112). Let b = 2308848 + r. Round b to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-75)\/50)\/(6\/(-16708)). Suppose 11*b = 7747 + w. What are the prime factors of b?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/1218 and -143\/469098?\nAnswer: 13603842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.402379l?\nAnswer: 6402.379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-62)\/27)\/((-20)\/(-30)) and 33\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37\/52 - 6\/13. Let o be 95\/31 - ((-8)\/(-232) + (-567)\/(-18879)). Factor 0*q**o + z*q**2 + 0 + 0*q - 1\/4*q**4.\nAnswer: -q**2*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 1331*x**2 + 6638*x + 211. Calculate b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 9*p**4 - 17727*p**3 + 29298*p**2 + 436824*p + 141696 = 0?\nAnswer: -4, -1\/3, 6, 1968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 30*n**2 - 27*n + 84. What is the remainder when u(-29) is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1298212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 = 3*n. Let h be (-1 - 8\/(-1)) + n. Suppose 5*m - h + 28 = 0, -76 = -3*b + 4*m. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3525.274ml in litres?\nAnswer: 3.525274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*o + 4*y - 5, 0 = -4*o + 3*y + 21. Let v(x) = -80*x**3 + 16*x**2 - 16. Let p(c) = -16*c**3 + 3*c**2 - 3. Give o*v(k) - 16*p(k).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -37544859 divided by -12514953\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + sqrt(171))**2 + 3 - (sqrt(171) - 6*(sqrt(171) - (-2*sqrt(171) - sqrt(171) - sqrt(171))))\/(sqrt(1089)*1).\nAnswer: 557*sqrt(19)\/11 + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5065\/(-7091))\/((-3)\/(63\/3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 34 = 46*s - 41*s, -5*w - 4*s = -29. Sort -4, w, -5, 10, -1.\nAnswer: -5, -4, -1, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k + 8. Suppose -5*l = i + 21, 3*l - 3 = -5*i + k. Suppose -n - n + 5*h + 10 = 0, -i = 2*h. Solve 0 = x - n*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 + -548\/5. Let l = -137 + 194. Let h = -56.94 + l. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19797777 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/(-66)*(-6)\/(-49).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 4*q + 24, 10 = -c - 4*q + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 90*u**5\/7 - 102*u**4\/7 - 44*u**3\/7 + 36*u**2\/7 + 18*u\/7 + 2\/7 = 0.\nAnswer: -1\/3, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29255 divided by 5.\nAnswer: 5851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:20 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 3\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (17 - (-18 - -9 - -14)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1659 and 71\/948.\nAnswer: 6636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*f = 40, -n + 1 + 15 = 3*f. Suppose 0 = n*q + 6816418 - 1216418. What is q rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + f - 15 = 0, -6*n + 2*n + 4*f - 24 = 0. Suppose -3*o - 21 + 105 = 0. Let a = o + n. Is a greater than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000124168303 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 24*k. Let o(p) = -12*p. Give -9*o(c) - 4*t(c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1849 * 1612.7\nAnswer: 298.18823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from ureeqvqveuvf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*2 - (-6)\/6. Suppose -6 = 6*g - a*g. Solve 4*r = -z - 3*z - 4, 3*z + g*r = -5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 485 and 35599?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74935248, 149870498, 224805748, 299740998?\nAnswer: 374676248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/54602275 and -57\/5880245.\nAnswer: 382215925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 - 33. Let s(x) = -7*x**2 + 35. Determine -5*k(o) - 4*s(o).\nAnswer: -7*o**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/((-3)\/(-4)). Let j(x) = 2*x**2 - 3*x + 1. Give j(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (8 + 10)) + 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84550*b**5 + b**2 - 133946 wrt b?\nAnswer: -5073000*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1852700 divided by -4850?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 113 = -71. Let r = x + -326\/7. What is the biggest value in 0.5, r, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061 is divided by 513.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 60. Let m be d(8). Let z = m + 157. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2067, -2072, -2081, -2094, -2111, -2132?\nAnswer: -2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 3. Suppose -29*z + 20*z + 234 = 0. Suppose j = 3*j - z. Calculate the remainder when d is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -146750 and -0.17.\nAnswer: 24947.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = -4*p - 3*x, 0*p + 3*x = -p + 77. Suppose -4*j - 2*t + p = -6*t, -72 = -5*j - 2*t. Is 953\/5 - j\/(-40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -4.\nAnswer: -4, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 216*n + n**3 + 2.\nAnswer: n**3 + 216*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/5 - 6*w**2\/5 + 572*w\/5 + 576\/5 = 0.\nAnswer: -18, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*k + 5*l - 6, 2*k + 3 = 3*l. Suppose 0 = -5*r - k*d - 5*d + 2895, 1730 = 3*r - 4*d. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -0*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - -23. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 3*w + 3*w + (3 - 6 + 2)*(5*w - 5*w + w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40850 is divided by 4528?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 23*o**8\/168 + 107*o**7\/210 + 4961*o**5\/60 + o**4\/24 - o**3\/6 - 11795*o**2. What is the third derivative of s(f) wrt f?\nAnswer: 2760*f**2 + 2568*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 - -1009\/10. Find the common denominator of w and 7\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -8*i + 24. Let z be i\/((-2)\/(-3) + 20\/15). Which is the third smallest value? (a) -5 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 340*r**2 + 2. Let z(x) = -66*x**2 - 14*x. Let f(k) = 38*k**2 + 8*k. Let q(n) = 7*f(n) + 4*z(n). Give q(u(g)).\nAnswer: 231200*g**4 + 2720*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.02 + -4.07. Let v = x + 5. What is v rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g + 2*g)*(-2 + 1 + 2) - 3*g - 4*g + 1 + 3.\nAnswer: -4*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 110\/168 - (-6)\/(-9). Let w = t - -25\/84. Calculate the common denominator of -51\/10 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 7*w**2 + 6*w + 2. Let z be o(6). Suppose 3*i + 3*g = -z*i + 1, 5*g + 15 = 0. Let b(x) = x - x - x**i. Let l(f) = 2*f**2. Determine b(l(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5\/3 + 18*h**4 - 3058*h**3\/3 - 10922*h**2 + 933800*h\/3 + 1692800 = 0.\nAnswer: -48, -20, -5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.3 + -16. Let x = 603.5 - 603.7. What is the closest to x in 0.4, 0.9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -6. Let v(a) = -j + 3 - a**2 + 4 + 3*a. Let z be v(4). Is 0 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -483131*l**2 + 77947*l\/5 - 82\/5 = 0.\nAnswer: 2\/1837, 41\/1315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 286*y + 567. What is z(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 3*a**2 - 13*a + 72. What is u(5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**3 + 36*a**3 - 30*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/270 and -99\/1720?\nAnswer: 46440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*q = 2*y - 5, 3*y - 4*q = 15. Let n = 21 - 4. Suppose n - y = 4*w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3256584 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4, 3*y = n + 8*y - 16. Calculate the remainder when 18 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19968858 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 34010.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 15 = -16*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t\/((t*t**1*t)\/t)*t)\/t)*t*t)**(-2\/7)*t**(-2)\/((t\/(t\/(t**(-12)\/t)))\/t*t))**(-35) assuming t is positive.\nAnswer: t**(-355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j + 9*j - 8*j + (0 - 2 + 0)*(-j - j + 3*j)*(3 - 1 + 2 + (-4 + 0 - 3)*(1 + 4 - 3)) to the form d + u*j and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:32 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2516091*v**4 - 2*v**3 - 39173380*v**2.\nAnswer: 60386184*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 - 216583*b - 2*b**4 + 1 - 102*b**2 + 216583*b in the form s + m*b**3 + x*b**2 + y*b**4 + a*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9020 divided by -5?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-310)\/70 + 5 - 1352977\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 x, and 1 a when three letters picked without replacement from zepxaaxje?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32316542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11126048, 11126061, 11126076, 11126093, 11126112?\n\"Answer: z**2 + 10*z + 11126037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 2*sqrt(153))*-1 + (sqrt(153) + (-2*sqrt(153)*-1 + sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153) - sqrt(153)))\/((6*2*sqrt(36))\/sqrt(4)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63639.\nAnswer: 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51320729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 u when four letters picked without replacement from {v: 4, a: 3, u: 5}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**6\/33 - 16*r**5\/55 - 12*r**4\/11 - 64*r**3\/33 - 16*r**2\/11 - 2066. Factor x(u).\nAnswer: -2*u*(u + 2)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-126))\/(68\/153)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, w: 3, l: 1, p: 5}. What is prob of sequence kpw?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 261?\nAnswer: -130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -223 (b) 4\/5 (c) -3\/2 (d) -2\/11 (e) 4 (f) -4.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 7*b. Let i = -17 + 11. Let f = i - 1. Suppose 2 = -7*x + 30. Let c(v) = v**2 + 4*v. What is f*c(z) + x*n(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (105 - 128)) + -11 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 65. Let t(x) be the first derivative of 10\/3*x**g + 2*x**4 + 2\/5*x**5 - 11 + 2*x**2 + 0*x. Factor t(j).\nAnswer: 2*j*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 40 + (2 - 8) - 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2523, -2521, -2519, -2517?\nAnswer: -2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 42 = k. Suppose 0 = -k*b + 106 - 40. What is the remainder when 43 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -575 less than -575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 71*l**2. Let c(y) = -6*y**2 + 2. What is c(u(m))?\nAnswer: -30246*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*x - 7, 5*o - 13*x - 4*x - 23 = -25*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154*p**2 + 5 - 26 + 509*p**2 + 755*p**2 - 2*p - 168*p**2 wrt p?\nAnswer: 1884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39913500 rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2452669387.3 from -0.004.\nAnswer: 2452669387.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8241)\/(-1353) + (-1)\/11. Solve 0 = 41*a + x*a + 329 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -318 + 12 + 241 + h - 2*h**2 in the form v*h**2 + w + y*h and give w.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 15.9. Which is bigger: d or -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + g + 1. Let q be d(-1). Suppose -2*o = 3*s - 14, 0*o + 12 = q*o + 2*s. What is the units digit of (-2)\/(o\/(-34)) + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000014766 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-2*5\/216) + 1. Let v = m + -131. Which is the fourth biggest value? (a) -18 (b) -2\/9 (c) 1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 3)*(3*b - 3*b + 6*b**4) + 0*b**4 - 3*b**4 + 4*b**4 + (2*b**2 - 6*b**2 + 2*b**2)*(-b**2 - 2*b + 2*b) + b**4 + 2*b**4 - b**4 + 2*b**4 - 2*b + 2*b.\nAnswer: 55*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeheeejjeheje. What is prob of sequence je?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a - 39 = 53*o - 58*o, -2*o = -a + o - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -0.2 (c) 8 (d) -2\/17 (e) 0 (f) -4 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = i, -i + 4*f = 3*i + 4. What is the units digit of (-1 + 0)*(-11 + i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1044 and 3364.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/13 - -1\/26. Which is the second biggest value? (a) 2 (b) t (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 5*p**7\/6 + 25*p**6\/6 + 15*p**5\/2 + 25*p**4\/6 - 25*p**3\/6 - 15*p**2\/2 - 9*p. Factor c(u).\nAnswer: 5*(u + 1)**4*(7*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98197 and 1591040?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3300 and 437118.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, 10, 11, 10, 7, 2?\n\"Answer: -n**2 + 6*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7755 + 17701?\nAnswer: 27656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(99) - (2*sqrt(1210) + sqrt(1210)))\/(sqrt(45)\/((-3*sqrt(27))\/sqrt(3))).\nAnswer: 98*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/541 + -2158\/1623. Let t = 0.07 + -4.07. Let h = 1 + t. Which is the third biggest value? (a) -4 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/10 and -41\/1400.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 1. Let o be g(2). Let m = -363 + 365. Let n(y) = -5*y**2 - 9 - 2*y + 8*y - y + 6*y**m. Calculate n(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71\/3 + -23. Let n = -0.13 - 0.07. What is the nearest to n in -3, g, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*y = 9*y + 65770, 0 = k + y - 13150. Let s = 23051 - k. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cydyycrys. What is prob of picking 4 y?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 4*b - 4*b**3 + 12 - 6*b.\nAnswer: -4*b**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-137 - -130) + -8 + -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 964982617 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3*h)\/h**(-3))**(-4\/7)\/((h*h\/(h**(1\/3)\/h)*h)**(-1\/22)\/(h**(2\/3))**(-50)) assuming h is positive.\nAnswer: h**(-1585\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2821664*k**6 + 9*k**2 + 97423*k?\nAnswer: -338599680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - 8. Let g = 4.9 - 6. Let h = g + 0.1. Is w equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhw when four letters picked without replacement from wnhnnhn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5676200953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*f. Solve f*k - 3 + 13 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610940 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580260.1 months in years?\nAnswer: 215021.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9269*h**2\/2 + 74147*h\/4 - 5.\nAnswer: (h + 4)*(18538*h - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5339963m in micrometers?\nAnswer: 533996.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15495466 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3474, 6946, 10418?\n\"Answer: 3472*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5927?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 372*y**2 - 18*y + 19. What is the ten thousands digit of t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 times 1.004\nAnswer: 55.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}